Numerical analysis on snapping induced by electromechanical interaction of shuffling actuator with nonlinear plate

Computers and Structures

Volumn 81, Issue 4, 2003, Pages 255-264

  Zhou, You He ^a   Yang, Xiaobin ^a  

^a LANZHOU UNIVERSITY   (China)

Author keywords

Electromechanical interaction; MEMS shuffling actuator; Plate electrode; Shuffling displacement characteristic; Snapping and post snapping; Theoretical analysis

Indexed keywords

BENDING (DEFORMATION); ELECTRIC POTENTIAL; ELECTROSTATIC ACTUATORS; ELECTROSTATICS; FINITE ELEMENT METHOD; MICROELECTROMECHANICAL DEVICES;

SHUFFLING ACTUATORS;

PLATES (STRUCTURAL COMPONENTS);

EID: 0037404883     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(02)00432-7     Document Type: Article

References (24)

1. Judy J.W. Microelectromechanical systems (MEMS): fabrication, design, and applications. Smart Mater. Struct. 10:2001;1115-1134.
2. Gabbert U., Tzou H.S. Smart structures and structronic systems. Proc. of the IUTAM Symposium held in Magdeburg, Germany, 26-29 September 2000. 2000;Kluwer Academic Publishers, Dordrecht.
3. Puers R., Lapadatu D. Electrostatic forces and their effect on capacitive mechanical sensors. Sensors and Actuators, A. 56:1996;203-210.
4. Aluru N.R., White J. An efficient numerical technique for electromechanical simulation of complicated microelectromechanical structures. Sensors and Actuators, A. 58:1997;1-11.
5. Schneider P., Schneider A., Schwarz P. A modular approach for simulation-based optimization of MEMS. Microelectron. J. 33:2002;29-38.
6. Tas N., Wissink J., Sander L., Lammerink T., Elwenspoek M. Modeling, design and testing of the electrostatic shuffle motor. Sensors and Actuators, A. 70:1998;171-178.
7. Moon F.C. Bucking of a superconducting coil nested in a three-coil toroidal segment. J. Appl. Phys. 47:1976;920-921.
8. Miya K., Tagaki T., Ando Y. Finite-element analysis of magnetoelastic buckling of ferromagnetic beam-plate. ASME J. Appl. Mech. 47:1980;377-382.
9. Zhou Y.H., Zheng X.J., Miya K. Magnetoelastic bending and snapping of ferromagnetic plates in oblique magnetic fields. Fus. Eng. Des. 30:1995;325-337.
10. Zhou Y.H., Zheng X.J. Mechanics of electromagneto-solid structures. 1999;Science Press, Beijing. (in Chinese).
11. Lee J.S., Zheng X.J. Bending and buckling of superconducting partial toroidal field coils. Int. J. Solids Struct. 36:1999;2127-2141.
12. Zhou Y.H., Gao Y.W., Zheng X.J., Jiang Q. Buckling and post-buckling of a ferromagnetic beam-plate induced by magnetoelastic interaction. Int. J. Non-Linear Mech. 35:2000;1059-1065.
13. Riks E. An incremental approach to the solution of snapping and buckling problems. Int. J. Solids Struct. 15:1979;529-551.
14. Crisfield M.A. An arc-length method including line searches and accelerations. Int. J. Numer. Meth. Eng. 19:1983;1269-1289.
15. Betsch P., Stein E. Numerical implementation of multiplicative elasto-plasticity into assumed strain elements with application to shells at large strains. Comput. Meth. Appl. Mech. Eng. 179:1999;215-245.
16. Montag U., Krätzig W.B., Soric J. Increasing solution stability for finite-element modeling of elasto-plastic shell response. Adv. Eng. Software. 30:1999;607-619.
17. Barlag S., Rothert H. An idealization concept for the stability analysis of ring-reinforced cylindrical shells under external pressure. Int. J. Non-Linear Mech. 37:2002;745-756.
18. Teng J.G., Luo Y.F. A used-controlled arc-length method for convergence to predefined deformed state. Commun. Numer. Meth. Eng. 14:1998;51-58.
19. Hellweg H.B., Crisfield M.A. A new arc-length method for handling sharp snap backs. Comput. Struct. 66:1998;705-709.
20. Souza Neto, Feng Y.T. On the determination of the path direction for arc-length methods in the presence of bifurcations and 'snap-backs'. Comput. Meth. Appl. Mech. Eng. 179:1999;81-89.
21. Chia C.-Y. Nonlinear analysis of plates. 1980;McGraw-Hill International Book Co, New York.
22. Smythe W.R. Static and dynamic electricity. 1968;McGraw-Hill, New York.
23. Jiang Y.L. Nonlinear finite element method. 1988;Beijing Polytechnic University Press, Beijing. (in Chinese).
24. Simo J.C., Wriggers P., Schweizerhof K.H., Taylor R.L. Finite deformation post-buckling analysis involving inelasticity and contact constraints. Int. J. Numer. Meth. Eng. 23:1986;779-880.