Compliant mechanisms: Design of flexure hinges

Compliant Mechanisms: Design of Flexure Hinges

Volumn , Issue , 2002, Pages 1-448

  Lobontiu, Nicolae ^a  

^a UNIVERSITY OF ALASKA ANCHORAGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85056377873     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Book

References (226)

1. Paros, J.M. and Weisbord, L., How to design flexure hinges, Machine Design, November, 1965, p. 151.
2. Smith, S.T., Flexures—Elements of Elastic Mechanisms, Gordon & Breach, Amsterdam, 2000.
3. Midha, A., Elastic mechanisms, in Modern Kinematics: Developments in the Last Forty Years, A.G. Erdman, Ed., John Wiley & Sons, New York, 1993.
4. Howell, L.L., Compliant Mechanisms, John Wiley & Sons, New York, 2001.
5. Lobontiu, N. et al., Corner-filleted flexure hinges, ASME Journal of Mechanical Design, 123, 346, 2001.
6. Smith, S.T. et al., Elliptical flexure hinges, Revue of Scientific Instruments, 68(3), 1474, 1997.
7. Lobontiu, N. et al., Design of symmetric conic-section flexure hinges based on closed-form compliance equations, Mechanism and Machine Theory, 37(5), 477, 2002.
8. Lobontiu, N. et al., Parabolic and hyperbolic flexure hinges: flexibility, motion precision and stress characterization based on compliance closed-form equations, Precision Engineering: Journal of the International Societies for Precision Engineering and Nanotechnology, 26(2), 185, 2002.
9. Lobontiu, N. and Paine, J.S.N., Design of circular cross-section corner-filleted flexure hinges for three-dimensional compliant mechanisms, ASME Journal of Mechanical Design, 124, 479, 2002.
10. Midha, A., Her, I., and Salamon, B.A., A methodology for compliant mechanisms design. Part I. Introduction and large-deflection analysis, in Advances in Design Automation, D.A. Hoeltzel, Ed., DE-Vol. 44–2, 18th ASME Design Automation Conference, 1992, p. 29.
11. Howell, L.L. and Midha, A., A method for the design of compliant mechanisms with small-length flexural pivots, ASME Journal of Mechanical Design, 116(1), 280, 1994.
12. Howell, L.L. and Midha, A., Parametric deflection approximations for end-loaded, large-deflection beams in compliant mechanisms, ASME Journal of Mechanical Design, 117(1), 156, 1995.
13. Howell, L.L. and Midha, A., Determination of the degrees of freedom of compliant mechanisms using the pseudo-rigid-body model concept, in Proc. of the Ninth World Congress on the Theory of Machines and Mechanisms, Milano, Italy, 2, 1995, p. 1537.
14. Jensen, B.D., Howell, L.L., Gunyan, D.B., and Salmon, L.G., The design and analysis of compliant MEMS using the pseudo-rigid-body model, Microelectromechanical Systems (MEMS) 1997, DSC-Vol. 62, ASME International Mechanical Engineering Congress and Exposition, Dallas, TX, 1997, p. 119.
15. Anathasuresh, G.K. and Kota, S., Designing compliant mechanisms, Mechanical Engineering, November, 1995, p. 93.
16. Murphy, M.D., Midha, A., and Howell, L.L., The topological synthesis of compliant mechanisms, Mechanism and Machine Theory, 31(2), 185, 1996.
17. Brockett, R.W. and Stokes, A., On the synthesis of compliant mechanisms, Proc. of the IEEE International Conference on Robotics and Automation, Sacramento, CA, 3, 1991, p. 2168.
18. Saggere, L. and Kota, S., Synthesis of distributed compliant mechanisms for adaptive structures application: an elasto-kinematic approach, Proc. of DETC’97, ASME Design Engineering Technical Conferences, Sacramento, CA, 1997, p. 3861.
19. Kota, S., Joo, J., Li, Z., Rodgers, S.M., and Sniegowski, J., Design of compliant mechanisms: applications to MEMS, Analog Integrated Circuits and Signal Processing, 29(1–2), 7, 2001.
20. Paros, J.M. and Weisbord, L., How to design flexure hinges, Machine Design, November, 151, 1965.
21. Smith, S.T. et al., Elliptical flexure hinges, Revue of Scientific Instruments, 68(3), 1474, 1997.
22. Smith, S.T., Flexures. Elements of Elastic Mechanisms, Gordon & Breach, Amsterdam, 2000.
23. Lobontiu, N. et al., Corner-filleted flexure hinges, ASME Journal of Mechanical Design, 123, 346, 2001.
24. Lobontiu, N. et al., Parabolic and hyperbolic flexure hinges: flexibility, motion precision and stress characterization based on compliance closed-form equations, Precision Engineering: Journal of the International Societies for Precision Engineering and Nanotechnology, 26(2), 185, 2002.
25. Lobontiu, N. et al., Design of symmetric conic-section flexure hinges based on closed-form compliance equations, Mechanism and Machine Theory, 37(5), 477, 2002.
26. Lobontiu, N. and Paine, J.S.N., Design of circular cross-section corner-filleted flexure hinges for three-dimensional compliant mechanisms, ASME Journal of Mechanical Design, 124, 479, 2002.
27. Canfield, S. et al., Development of spatial miniature compliant manipulator, International Journal of Robotics and Automation, Special Issue on Compliance and Compliant Mechanisms (in press).
28. Howell, L.L. and Midha, A., A method for the design of compliant mechanisms with small-length flexural pivots, ASME Journal of Mechanical Design, 116, 280, 1994.
29. Murphy, M.D., Midha, A., and Howell, L.L., The topological synthesis of compliant mechanisms, Mechanism and Machine Theory, 31, 185, 1996.
30. Howell, L.L., Compliant Mechanisms, John Wiley & Sons, New York, 2001.
31. Den Hartog, J.P., Advanced Strength of Materials, Dover, New York, 1987.
32. Barber, J.R., Mechanics of Materials, McGraw-Hill, New York, 2001, chaps. 2 and 3.
33. Volterra, E. and Gaines, J.H., Advanced Strength of Materials, Prentice-Hall, Englewood Cliffs, NJ, 1971.
34. Timoshenko, S.P., History of Strength of Materials, Dover, New York, 1982.
35. Ugural, A.C. and Fenster, S.K., Advanced Strength and Applied Elasticity, Prentice-Hall, Englewood Cliffs, NJ, 1995.
36. Richards, T.H., Energy Methods in Stress Analysis with an Introduction to Finite Element Techniques, Ellis Horwood, Chichester, 1977.
37. Harker, R.J., Elastic Energy Methods of Design Analysis, Chapman & Hall, 1986.
38. Langhaar, H.L., Energy Methods in Applied Mechanics, Krieger, Melbourne, FL, 1989.
39. Sandor, B.I., Strength of Materials, Prentice-Hall, Englewood Cliffs, NJ, 1978.
40. Muvdi, B.B. and McNabb, J.W., Engineering Mechanics of Materials, 2nd ed., Macmillan, New York, 1984.
41. Cook, R.D. and Young, W.C., Advanced Mechanics of Materials, Macmillan, New York, 1985.
42. Kobayashi, A.S., Ed., Handbook on Experimental Mechanics, 2nd rev. ed., VCH Publishers, Weinheim/New York, 1993.
43. Sullivan, J.L., Fatigue life under combined stress, Machine Design, January 25, 1979.
44. Peterson, R.E., Stress Concentration Factors, Wiley, New York, 1974.
45. Pilkey, W.D., Peterson’s Stress Concentration Factors, John Wiley & Sons, New York, 1997.
46. Boresi, A.P., Schmidt, R.J., and Sidebottom, O.M., Advanced Mechanics of Materials, 5th ed., John Wiley & Sons, 1993.
47. Young, W.C., Roark’s Formulas for Stress and Strain, McGraw-Hill, New York, 1989.
48. Den Hartog, J.P., Strength of Materials, Dover, New York, 1977
49. Smith, S.T., Flexures: Elements of Elastic Mechanisms, Gordon & Breach, Amsterdam, 2000.
50. Howell, L.L., Compliant Mechanisms, John Wiley & Sons, New York, 2001.
51. Murphy, D.M., Midha, A., and Howell, L.L., The topological synthesis of compliant mechanisms, Mechanism and Machine Theory, 31(2), 185, 1996.
52. Howell, L.L. and Midha, A., Determination of the degrees of freedom of compliant mechanisms using the pseudo-rigid-body model concept, in Proc. of the Ninth World Congress on the Theory of Machines and Mechanisms, Milano, 1995, p. 1537.
53. Howell, L.L. and Midha, A., Compliant mechanisms, in Modern Kinematics: Developments in the Last Forty Years, A.G. Erdman, Ed., John Wiley & Sons, New York, 1993.
54. Saggere, L. and Kota, S., Synthesis of distributed compliant mechanisms for adaptive structures application: an elasto-kinematic approach, in Proc. of DETC’97, 1997 ASME Design Engineering Technical Conference, Sacramento, CA, 1997, p. 1.
55. Midha, A., Her, I., and Salamon, B.A., A methodology for compliant mechanism design. Part I. Introduction and large-deflection analysis, Advances in Design Automation, 44(2), 29, 1992.
56. Howell, L.L. and Midha, A., A method for the design of compliant mechanisms with small-length flexural pivots, ASME Journal of Mechanical Design, 116(1), 280, 1994.
57. Howell, L.L. and Midha, A., The development of force-deflection relationships for compliant mechanisms, Machine Elements and Machine Dynamics, 71, 501, 1994.
58. Howell, L.L. and Midha, A., Parametric deflection approximations for end-loaded, large-deflection beams in compliant mechanisms, ASME Journal of Mechanical Design, 117(1), 156, 1995.
59. Saxena, A. and Kramer, S.N., Simple and accurate method for determining large deflections in compliant mechanisms subjected to end forces and moments, ASME Journal of Mechanical Design, 120(3), 392, 1998.
60. Midha, A., Howell, L.L., and Norton, T.W., Limit positions of compliant mechanisms using the pseudo-rigid-body model concept, Mechanism and Machine Theory, 35, 99, 2000.
61. Dado, M.H., Variable parametric pseudo-rigid-body model for large-deflection beams with end loads, International Journal of Non-Linear Mechanics, 36, 1123, 2001.
62. Anathasuresh, G.K. et al., Systematic synthesis of microcompliant mechanisms: preliminary results, in Proc. of the Third National Applied Mechanisms and Robotics Conference, Cincinnati, OH, 1993, p. 82.1.
63. Ananthasuresh, G.K. and Kota, S., The role of compliance in the design of MEMS, in Proc. of DETC/MECH’96, 1996 ASME Design Engineering Technical Conference, 1996, p. 1309 (available on CD-ROM).
64. Jensen, B.D. et al., The design and analysis of compliant MEMS using the pseudorigid-body model, in Proc. of the 1997 ASME International Mechanical Engineering Congress and Expo, Dallas, TX, 1997, p. 119.
65. Salmon, L.G. et al., Use of the pseudo-rigid-body model to simplify the description of compliant micro-mechanisms, in Proc. of the 1996 IEEE Solid-State and Actuator Workshop, Hilton Head Island, SC, 1996, p. 136.
66. Kota, S. et al., Design of compliant mechanisms: applications to MEMS, Analog Integrated Circuits and Signal Processing, 29(1–2), 7, 2001.
67. Howell, L.L. and Midha, A., A loop-closure theory for the analysis and synthesis of compliant mechanisms, ASME Journal of Mechanical Design, 118(1), 121, 1996.
68. Kota, S. et al., Tailoring unconventional actuators using compliant transmissions: design methods and applications, IEEE/ASME Transactions on Mechatronics, 4, 396, 1999.
69. Hsiao, F.-Z. and Lin, T.-W., Analysis of a novel flexure hinge with three degrees of freedom, Revue of Scientific Instruments, 72(2), 1565, 2001.
70. Carricato, M., Parenti-Castelli, V., and Duffy, J., Inverse static analysis of a planar system with flexural pivots, ASME Journal of Mechanical Design, 123(2), 43, 2001.
71. Kim, W.-K., Yi, B.-J., and Cho, W., RCC characteristics of planar/spherical three degree-of-freedom parallel mechanisms with joint compliances, ASME Journal of Mechanical Design, 123, 10, 2000.
72. Clark, J.W. et al., Three-dimensional MEMS simulation modeling using modified nodal analysis, in Proc. of the Microscale Systems: Mechanics and Measurements Symposium, Orlando, FL, 2000, p. 68.
73. Shabana, A.A., Dynamics of Multibody Systems, Cambridge University Press, New York, 1998.
74. Meirovitch, L., Principles and Techniques of Vibrations, Prentice-Hall, Englewood Cliffs, NJ, 1997.
75. Gao, X., Solution methods for dynamic response of flexible mechanisms, in Modern Kinematics: Developments in the Last Forty Years, A.G. Erdman, Ed., John Wiley & Sons, New York, 1993.
76. Bagci, C. and Streit, D.A., Flexible manipulators, in Modern Kinematics: Developments in the Last Forty Years, A.G. Erdman, Ed., John Wiley & Sons, New York, 1993.
77. Boutaghou, Z.-E. and Erdman, A.G., On various nonlinear rod theories for the dynamic analysis of multibody systems, in Modern Kinematics: Developments in the Last Forty Years, A.G. Erdman, Ed., John Wiley & Sons, New York, 1993.
78. Simo, J.C. and Vu-Quoc, L., On the dynamics of flexible beams under large overall motions—the plane case, parts 1 and 2, ASME Journal of Applied Mechanics, 53, 849, 1986.
79. McPhee, J.J., Automatic generation of motion equations for planar mechanical systems using the new set of “branch coordinates,” Mechanism and Machine Theory, 33(6), 805, 1998.
80. Liew, K.M., Lee, S.E., and Liu, A.Q., Mixed-interface substructures for dynamic analysis of flexible multibody systems, Engineering Structures, 18(7), 495, 1996.
81. Engstler, C. and Kaps, P., A comparison of one-step methods for multibody system dynamics in descriptor and state space form, Applied Numerical Mathematics, 24, 457, 1997.
82. Cui, K. and Haque, I., Symbolic equations of motion for hybrid multibody systems using a matrix-vector formulation, Mechanism and Machine Theory, 32(6), 743, 1997.
83. Boyer, F. and Coiffet, P., Symbolic modeling of a flexible manipulator via assembling of its generalized Newton–Euler model, Mechanism and Machine Theory, 31(1), 45, 1996.
84. Vibet, C., Dynamics modeling of Lagrangian mechanisms from inertial matrix elements, Computer Methods in Applied Mechanical Engineering, 123, 317, 1995.
85. Surdilovic, D. and Vukobratovic, M., One method for efficient dynamic modeling of flexible manipulators, Mechanism and Machine Theory, 31(3), 297, 1996.
86. Yu, W., Mathematical modeling of a class of flexible robot, Applied Mathematical Modelling, 19, 537, 1995.
87. Indri, M. and Tornambe, A., Lyapunov analysis of the approximate motion equations of flexible structures, Systems & Control Letters, 28, 31, 1996.
88. Lyon, S.M. et al., Prediction of the first modal frequency of compliant mechanisms using the pseudo-rigid-body model, ASME Journal of Mechanical Design, 121(2), 309, 1999.
89. Smith, S.T., Flexures: Elements of Elastic Mechanisms, Gordon & Breach, Amsterdam, 2000.
90. Thomson, W.T., Theory of Vibration with Applications, 3rd ed., Prentice-Hall, Englewood Cliffs, NJ, 1988.
91. Inman, D.J., Engineering Vibrations, Prentice-Hall, Englewood Cliffs, NJ, 1994.
92. Weaver, W., Jr., Timoshenko, S.P., and Young, D.H., Vibration Problems in Engineering, 5th ed., John Wiley & Sons, New York, 1990.
93. Lobontiu, N., Goldfarb, M., and Garcia, E., Achieving maximum tip displacement during resonant excitation of piezoelectrically actuated beams, Journal of Intelligent Material Systems and Structures, 10, 900, 1999.
94. Lee, S.Y., Ke, H.Y., and Kuo, Y.H., Analysis of non-uniform beam vibration, Journal of Sound and Vibration, 142(1), 15, 1990.
95. Lee, S.Y., Wang, W.R., and Chen, T.Y., A general approach on the mechanical analysis of non-uniform beams with nonhomogeneous elastic boundary conditions, ASME Journal of Vibration and Acoustics, 120, 164, 1998.
96. Lobontiu, N., Distributed-parameter dynamic model and optimized design of a four-link pendulum with flexure hinges, Mechanism and Machine Theory, 36(5), 653, 2001.
97. Wood, W.L., Practical Time Stepping Schemes, Clarendon Press, London, 1990.
98. Beer, F.P. and Johnston, E.R., Vector Mechanics for Engineers: Dynamics, 6th ed., McGraw-Hill, New York, 1997.
99. Nashif, A.D., Jones, D.I.G., and Henderson, J.P., Vibration Damping, Wiley-Interscience, New York, 1985.
100. Lazan, B.J., Damping of Materials and Members in Structural Mechanics, Pergamon Press, Oxford, 1968.
101. Rivin, E.I., Stiffness and Damping in Mechanical Design, Marcel Dekker, New York, 1999.
102. Goodman, L.E., Material damping and slip damping, in Shock and Vibration Handbook, C.M. Harris, Ed., McGraw-Hill, New York, 1996, p. 36.1.
103. Jones, D.G.I., Applied damping treatments, in Shock and Vibration Handbook, C.M. Harris, Ed., McGraw-Hill, New York, 1996, p. 37.1.
104. Kareem, A. and Gurley, K., Damping in structures: its evaluation and treatment of uncertainty, Journal of Wind Engineering and Industrial Aerodynamics, 59, 131, 1996.
105. Crandall, S.H., The role of damping in vibration theory, Journal of Sound and Vibration, 11(1), 3, 1970.
106. Baker, W.E., Woolam, W.E., and Young, D., Air and internal damping of thin cantilever beams, International Journal of Mechanical Sciences, 9, 743, 1967.
107. Gerardin M. and Cardona A., Flexible Multibody Dynamics: A Finite-Element Approach, John Wiley & Sons, Chichester, 2001.
108. Zienkiewicz, O.C. and Taylor R.L., The Finite-Element Method, McGraw-Hill, London, 1993.
109. Zhang, S. and Fasse, E.D., A finite-element-based method to determine the spatial stiffness properties of a notch hinge, ASME Journal of Mechanical Design, 123(1), 141, 2001.
110. Koster, M., Constructieprincipies voor het Nauwkeurig Bewegen en Positioneren, Twente University Press, 1998.
111. Murin, J. and Kutis, V., 3D-beam element with continuous variation of the cross-sectional area, Computers and Structures, 80(3–4), 329, 2002.
112. Wang, Y. and Wang, Z., A time finite-element method for dynamic analysis of elastic mechanisms in link coordinate systems, Computers and Structures, 79(2), 223, 2001.
113. Saxena, A. and Ananthasuresh, G.K., Topology synthesis of compliant mechanisms for non-linear forced-deflection and curved path specifications, ASME Journal of Mechanical Design, 123(1), 33, 2001.
114. Yu, Y.-Q. and Smith, M.R., The effect of cross-sectional parameters on the dynamics of elastic mechanisms, Mechanism and Machine Theory, 31(7), 947, 1996.
115. Thompson, B.S. and Sung, C.K., A survey of finite-element techniques for mechanism design, Mechanism and Machine Theory, 21(4), 351, 1986.
116. Sung, C.K. and Thompson, B.S., Material selection: an important parameter in the design of high-speed linkages, Mechanism and Machine Theory, 19(4/5), 389, 1984.
117. Hac, M. and Osinski, J., Finite element formulation of rigid body motion in dynamic analysis of mechanisms, Computers and Structures, 57(2), 213, 1995.
118. Hac, M., Dynamics of flexible mechanisms with mutual dependence between rigid body motion and longitudinal deformation of links, Mechanism and Machine Theory, 30(6), 837, 1995.
119. Sriram, B.R. and Mruthyunjaya, T.S., Dynamics of flexible-link mechanisms, Computers and Structures, 56(6), 1029, 1995.
120. Al-Bedoor, B.O. and Khulief, Y.A., Finite element dynamic modeling of a translating and rotating flexible link, Computer Methods in Applied Mechanical Engineering, 131, 173, 1996.
121. Liew, K.M., Lee, S.E., and Liu, A.Q., Mixed-interface substructures for dynamic analysis of flexible multibody systems, Engineering Structures, 18(7), 495, 1996.
122. Fallahi, B., An enhanced computational scheme for the analysis of elastic mechanisms, Computers and Structures, 62(2), 369, 1997.
123. Xianmin, Z., Jike, L., and Yunwen, S., A high frequency analysis method for closed flexible mechanism systems, Mechanism and Machine Theory, 33(8), 1117, 1998.
124. Wang, Y.-X., Multifrequency resonances of flexible linkages, Mechanism and Machine Theory, 33(3), 255, 1998.
125. Chen, W., Dynamic modeling of multi-link flexible robotic manipulators, Computers and Structures, 79(2), 183, 2001.
126. Besseling, J.F. and Gong, D.G., Numerical simulation of spatial mechanisms and manipulators with flexible links, Finite Element in Analysis and Design, 18, 121, 1994.
127. Fallahi, B., A non-linear finite-element approach to kineto-static analysis of elastic beams, Mechanisms and Machine Theory, 31(3), 353, 1996.
128. Li, M., The finite deformation theory for beam, plate and shell. Part I. The two-dimensional beam theory, Computer Methods in Applied Mechanical Engineering, 146, 53, 1997.
129. Gao, X., Solution methods for dynamic response of flexible mechanisms, in Modern Kinematics: Developments in the Last Forty Years, A.G. Erdman, Ed., John Wiley & Sons, New York, 1993.
130. Imam, I., Sandor, G.N., and Kramer, S.N., Deflection and stress analysis in high-speed planar mechanisms with elastic links, ASME Journal of Engineering for Industry, 94B, 541, 1973.
131. Midha, A., Erdman, A.G., and Frohrib, D.A., A computationally efficient numerical algorithm for the transient response of high-speed elastic linkages, ASME Journal of Mechanical Design, 101, 138, 1979.
132. Midha, A., Erdman, A.G., and Frohrib, D.A., A closed form numerical algorithm for the periodic response of high-speed elastic linkages, ASME Journal of Mechanical Design, 101, 154, 1979.
133. Turcic, D.A. and Midha, A., Dynamic analysis of elastic mechanism systems, Part 1. Applications, ASME Journal of Dynamic Systems, Measurement and Control, 106, 249. 1984.
134. Gear, C.W., Numerical Initial Value problems in Ordinary Differential Equations, Prentice-Hall, Englewood Cliffs, NJ, 1971.
135. Chu, S.C. and Pan, K.C., Dynamic response of high-speed slider-crank mechanism with an elastic connecting rod, ASME Journal of Engineering for Industry, 97(2), 542, 1975.
136. Song, J.O. and Haug, E.J., Dynamic analysis of planar flexible mechanisms, Computer Methods in Applied Mechanics and Engineering, 24, 358, 1980.
137. Gao, X.C., King, Z.Y., and Zhang, Q.X., A closed-form linear multi-step algorithm for the steady-state response of high-speed flexible mechanisms, Mechanism and Machine Theory, 23(5), 361, 1988.
138. Sekulovic, M. and Salatic, R., Nonlinear analysis of frames with flexible connections, Computers and Structures, 79(11), 1097, 2001.
139. Freudenthal, A.M., Introduction to the Mechanics of Solids, John Wiley & Sons, New York, 1966.
140. Shanley, F.R., Strength of Materials, McGraw-Hill, New York, 1957.
141. Wang, C.M., Lam, K.Y., He, X.Q., and Chucheepsakul, S., Large deflections of an end supported beam subjected to a point load, International Journal of Non-Linear Mechanics, 32(1), 63, 1997.
142. Dado, M.H., Variable parametric pseudo-rigid-body model for large deflection beams with end loads, International Journal of Non-Linear Mechanics, 36, 1123, 2001.
143. Lee, K., Large deflections of cantilever beams of non-linear elastic material under a combined loading, International Journal of Non-Linear Mechanics, 37, 430, 2002.
144. Ohtsuki, A. and Ellyn, F., Large deformation analysis of a square frame with rigid joints, Thin-Walled Structures, 38, 79, 2000.
145. Hamdouni, A., Interpretation geometrique de la decomposition des equations de compatibilite en grandes deformations, Mecanique des Solides et des Structures, 328, 709, 2000.
146. Pai, P.F. and Palazotto, A.N., Large-deformation analysis of flexible beams, International Journal of Solids and Structures, 33(9), 1335, 1996.
147. Gummadi, L.N.B. and Palazotto, A.N., Large strain analysis of beams and arches undergoing large rotations, International Journal of Non-Linear Mechanics, 33(4), 615, 1998.
148. Wriggers, P. and Reese, S., A note on enhanced strain methods for large deformations, Computer Methods in Applied Mechanics and Engineering, 135, 201, 1996.
149. Zelenina, A.A. and Zubov, L.M., The non-linear theory of the pure bending of prismatic elastic solids, Journal of Applied Mathematics and Mechanics, 64(3), 399, 2000.
150. Oguibe, C.N. and Webb, D.C., Large deflection analysis of multilayer cantilever beams subjected to impulse loading, Computers and Structures, 78(1), 537, 2000.
151. Fortune, D. and Vallee, C., Bianchi identities in the case of large deformations, International Journal of Engineering Science, 39(2), 113.
152. Howell, L.L. and Midha, A., A method for the design of compliant mechanisms with small-length flexural pivots, ASME Journal of Mechanical Design, 116, 280, 1994.
153. Howell, L.L. and Midha, A., Parametric deflection approximations for initially curved, large deflection beams in compliant mechanisms, in Proc. of the 1996 ASME Design Engineering Technical Conferences and Computers in Engineering Conference, 1996, p. 1.
154. Shoup, T.E. and McLarnan, C.W., A survey of flexible link mechanisms having lower pairs, Journal of Mechanisms, 6, 97, 1971.
155. Shoup, T.E. and McLarnan, C.W., On the use of the undulating elastica for the analysis of flexible link mechanisms, ASME Journal of Engineering for Industry, 93(1), 263, 1971.
156. Shoup, T.E., On the use of the nodal elastica for the analysis of flexible link devices, ASME Journal of Engineering for Industry, 94(3), 871, 1972.
157. Saggere, L. and Kota, S., Synthesis of planar, compliant four-bar mechanisms for compliant-segment motion generation, ASME Journal of Mechanical Design, 123, 535, 2001.
158. Shoup, T.E. and McLarnan, C.W., On the use of a doubly clamped flexible strip as a nonlinear spring, ASME Journal of Applied Mechanics, June, 559, 1971.
159. Jensen, B.D., Howell, L.L., and Salmon, L.G., Design of two-link, in-plane, bistable compliant micro-mechanisms, ASME Journal of Mechanical Design, 121, 416, 1999.
160. Edwards, B.T., Jensen, B.D., and Howell, L.L., A pseudo-rigid-body model for initially-curved pinned-pinned segments used in compliant mechanisms, ASME Journal of Mechanical Design, 123, 464, 2001.
161. Saxena, A. and Ananthasuresh, G.K., Topology synthesis of compliant mechanisms for non-linear force–deflection and curved path specifications, ASME Journal of Mechanical Design, 123, 33, 2001.
162. Timoshenko, S.P. and Gere, J.M., Theory of Elastic Stability, 2nd ed., McGraw-Hill, New York, 1961.
163. Allen, H.G. and Bulson, P.S., Background to Buckling, McGraw-Hill, London, 1980.
164. Chen, W.F. and Lui, E.M., Structural Stability: Theory and Implementation, Elsevier Science, New York, 1987.
165. Timoshenko, S.P., History of Strength of Materials, Dover, New York, 1983.
166. Den Hartog, J.P., Strength of Materials, Dover, New York, 1977.
167. Den Hartog, J.P., Advanced Strength of Materials, Dover, New York, 1987.
168. Boresi, A.P., Schmidt, R.J., and Sidebottom, O.M., Advanced Mechanics of Materials, 5th ed., John Wiley & Sons, New York, 1993.
169. Tenenbaum, M. and Pollard, H., Ordinary Differential Equations, Dover, New York, 1985.
170. Demidovich, B.P. and Maron, I.A., Computational Mathematics, MIR Publishers, Moscow, 1987.
171. Young, W.C., Roark’s Formulas for Stress and Strain, 6th ed., McGraw-Hill, New York, 1989.
172. Maluf, N., An Introduction to Microelectromechanical Systems Engineering, Artech House, Boston, 2000.
173. Budynas, R.G., Advanced Strength and Applied Stress Analysis, McGraw-Hill, New York, 1977.
174. Lobontiu, N., Goldfarb, M., and Garcia, E., Achieving maximum tip displacement during resonant excitation of piezoelecrtically-actuated beams, Journal of Intelligent Material Systems and Structures, 10, 900, 1999.
175. Burgreen, D., Elements of Thermal Stress Analysis, first ed., C.P. Press, New York, 1971.
176. Kirsch, U., Optimum Structural Design, McGraw-Hill, New York, 1981.
177. Rozvany, G.I.N., Structural Design via Optimality Criteria, Kluwer Academic, Dordrecht, 1989.
178. Haftka, R.T., Gurdal, Z., and Kamat, M.P., Elements of Structural Optimization, Kluwer Academic, Dordrecht, 1990.
179. Bennett, J.A. and Botkin, M.E., Eds., The Optimum Shape-Automated Structural Design, Plenum Press, New York, 1986.
180. Vanderplaats, G.N., Numerical Optimization Techniques for Engineering Design, McGraw-Hill, New York, 1984.
181. Takaaki, O. and Toshihiko, S., Shape optimization for flexure hinges, Journal of the Japan Society for Precision Engineering, 63(10), 1454, 1997.
182. Silva, E.C.N., Nishiwaki, S., and Kikuchi, N., Design of flextensional transducers using the homogenization design method, unpublished data, 1999.
183. Bendsoe, M.P., Optimization of Structural Topology: Shape and Material, Springer-Verlag, Berlin, 1995.
184. Haftka, R.T. and Grandhi, R.V., Structural shape optimization: a survey, Journal of Computer Methods in Applied Mechanics and Engineering, 57, 91, 1986.
185. Belegundu, A.D., Optimizing the shapes of mechanical components, Mechanical Engineering, January, 44, 1993.
186. Frecker, M.I., Ananthasuresh, G.K., Nishiwaki, S., Kicuchi, N., and Kota, S., Topological synthesis of compliant mechanisms using multi-criteria optimization, ASME Journal of Mechanical Design, 119, 238, 1997.
187. Nishiwaki, S., Frecker, M.I., Min, S., and Kikuchi, N., Structural optimization considering flexibility: formulation of equation and application to compliant mechanisms, JSME International Journal, 63(612), 2657, 1997.
188. Nishiwaki, S., Frecker, M.I., Min, S., Susumu, E., and Kikuchi, N., Structural optimization considering flexibility: integrated design method for compliant mechanisms, JSME International Journal, 41(3), 476, 1998.
189. Nishiwaki, S., Frecker, M.I., Min, S., and Kikuchi, N., Topology optimization of compliant mechanisms using the homogenization method, International Journal for Numerical Methods in Engineering, 42(3), 535, 1998.
190. Hetrick, J.A., Kikuchi, N., and Kota, S., Robustness of compliant mechanism topology optimization formulation, proceedings of the 1999 Smart Structures and Materials: Mathematics and Control in Smart Structures, Proc. SPIE Conference, 3667, 244, 1999.
191. Hetrick, J.A. and Kota, S., Energy formulation for parametric size and shape optimization of compliant mechanisms, ASME Journal of Mechanical Design, 121(2), 229, 1999.
192. Sigmund, O., On the design of compliant mechanisms using topology optimization, Mechanics of Structures and Machines, 25(4), 493, 1997.
193. Tai, K. and Chee, T.H., Design of structures and compliant mechanisms by evolutionary optimization of morphological representations of topology, ASME Journal of Mechanical Design, 122, 560, 2000.
194. Saxena, A. and Ananthasuresh, G.K., Topology synthesis of compliant mechanisms for non-linear force–deflection and curved path specifications, ASME Journal of Mechanical Design, 123, 33, 2001.
195. Giurgiutiu, V. and Rogers, C.A., Power and energy characteristics of solid-state induced-strain actuators for static and dynamic applications, Journal of Intelligent Material Systems and Structures, 8(9), 738, 1997.
196. Moulson, A.J. and Herbert, J.M., Electroceramics: Materials, Properties, Applications, Chapman & Hall, London, 1991.
197. Haertling, G.H., Ferroelectric ceramics: history and technology, Journal of the American Ceramic Society, 82(4), 797, 1999.
198. Li, G., Furman, E., and Haertling, G.H., Stress-enhanced displacements in PLZT rainbow actuators, Journal of the American Ceramic Society, 80(6), 1382, 1997.
199. Li, X., Shih, W.Y., Aksay, I.A., and Shih, W.-H., Electromechanical behavior of PZT-brass unimorphs, Journal of the American Ceramic Society, 82(7), 1753, 1999.
200. 31-gradient flextensional actuator, Journal of the American Ceramic Society, 82(7), 1753, 1999.
201. Park, S.-E. and Shrout, T.R., Ultrahigh strain and piezoelectric behavior in relaxor based ferroelectric single crystals, Journal of Applied Physics, 82(4), 1804, 1997.
202. Clephas, B. and Janocha, H., New linear motor with hybrid actuator, Proc. SPIE Conference, 3041, 316, 1997.
203. Kornbluh, R., Eckerle, J., and Andeen, G., Electrostrictive polymer artificial muscle actuators, paper presented at the International Conference on Robotics and Automation, ICRA98, Leuven, Belgium, 1998.
204. Pelrine, R., Kornbluh, R., Joseph, J., Heydt, R., Pei, Q., and Chiba, S., High-field deformation of elastomeric dielectrics for actuators, Materials Science and Engineering, Series C, 11, 89, 2000.
205. Otsuka, K. and Wayman, C.M., Eds., Shape Memory Materials, Cambridge University Press, London, 1998.
206. Monkman, G.J., Advances in shape memory polymer actuation, Mechatronics, 10, 489, 2000.
207. Howe, D., Magnetic actuators, Sensors and Actuators, Series A: Physical, 81, 268, 2001.
208. Guckel, H., Micromechanisms, Philosophical Transactions of the Royal Society: Physical Sciences and Engineering, Series A, 1703, 355, 1995.
209. Cao, L., Mantell, S., and Polla, D., Design and simulation of implantable medical drug delivery system using microelectromechanical systems technology, Sensors and Actuators, Series A: Physical, 94, 117, 2001.
210. Roberts, D.C. et al., A high-frequency, high-stiffness piezoelectric actuator for microhydraulic applications, Sensors and Actuators, Series A: Physical (in press).
211. Quandt, E. and Ludwig, A., Magnetostrictive actuation in microsystems, Sensors and Actuators, Series A: Physical, 81, 275, 2000.
212. Garnier, A. et al., Magnetic actuation of bending and torsional vibrations for two-dimensional optical-scanner application, Sensors and Actuators, Series A: Physical, 84, 156, 2000.
213. Khoo, M. and Liu, C., Micro magnetic silicone elastomer membrane actuator, Sensors and Actuators, Series A: Physical, 89, 259, 2001.
214. Maekoba, H. et al., Self-aligned vertical mirror and V-grooves applied to an optical switch: modeling and optimization of bi-stable operation by electromagnetic actuation, Sensors and Actuators, Series A: Physical, 87, 172, 2001.
215. Butefisch, S., Seidemann, V., and Buttgenbach, S., Novel micro-pneumatic actuator for MEMS, Sensors and Actuators, Series A: Physical (in press).
216. Liew, L.-A., Tuantranont, A., and Bright, V.M., Modeling of thermal actuation in a bulk-micromachined CMOS micromirror, Microelectronics Journal, 31, 791, 2000.
217. Jeong, O.C. and Yang, S.S., Fabrication of a thermopneumatic microactuator with a corrugated p+ silicon diaphragm, Sensors and Actuators, Series A: Physical, 80, 62, 2002.
218. Minett, A. et al., Nanotube actuators for nanomechanics, Current Applied Physics, 2, 61, 2002.
219. Chan, H.B. et al., Quantum mechanical actuation of microelectromechanical systems by the Casimir force, Science, 29(5510), 1941, 2001.
220. McGeough, J.A., Advanced Methods of Machining, Chapman & Hall, London, 1988.
221. Hatschek, R.L., EDM update ’84, American Machinist, March, 113, 1984.
222. Xiaowei, L., Zhixin, J., Jiaqi, Z., and Jinchun, L., A combined electrical machining process for the production of a flexure hinge, Journal of Materials Processing Technology, 71, 373, 1997.
223. Henein, S., Aymon, C., Bottinelli, S., and Clavel, R., Fatigue failure of thin wire-electrodischarge machined flexible hinges, proceedings of the 1999 Microrobotics and Microassembly, Proc. SPIE Conference, 3834, 110, 1999.
224. Madou, M., Fundamentals of Microfabrication, CRC Press, Boca Raton, FL, 1997.
225. Lang, W., Reflexions on the future of microsystems, Sensors and Actuators, Series A: Physical, 72, 1, 1999.
226. Ehrfeld, W. and Ehrfeld, U., Progress and profit through micro technologies: commercial applications of MEMS/MOEMS, in Reliability, Testing, and Characterization of MEMS/MOEMS, Proc. of SPIE Conference, 4558, 2001.