Research advances in the dynamic stability behavior of plates and shells: 1987-2005 - Part I: Conservative systems

Applied Mechanics Reviews

Volumn 60, Issue 1-6, 2007, Pages 65-75

  Sahu, S K ^a   Datta, P K ^b  

^a NATIONAL INSTITUTE OF TECHNOLOGY   (India)

^b INDIAN INSTITUTE OF TECHNOLOGY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EQUATIONS OF MOTION; PLATES (STRUCTURAL COMPONENTS); SHELLS (STRUCTURES); STRUCTURAL ANALYSIS;

DISCRETIZATION; PARAMETRIC EXCITATION; PARAMETRIC RESONANCE;

MECHANICAL STABILITY;

EID: 42349112815     PISSN: 00036900     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2515580     Document Type: Review

References (156)

1. Faraday, M., 1831, "On a Peculiar Class of Acoustical Figures, and on Certain Forms Assumed by a Group of Particles Upon Vibrating Elastic Surfaces," Philos. Trans. R. Soc. London, 121, pp. 229-318.
2. Rayleigh, I., and Strutt, J. W., 1883, "On the Crispations of Fluid Resting Upon a Vibrating Support," Philos. Mag., 16, pp. 50-53.
3. Bolotin, V. V., 1964, The Dynamic Stability of Elastic Systems, Holden-Day, San Francisco, CA.
4. Ewan-Iwanowski, R. M., 1965, "On the Parametric Response of Structures," Appl. Mech. Rev., 18(9), pp. 699-702.
5. Ibrahim, R. A., 1978, "Parametric Vibration, Part-III, Current Problems (1)," Shock Vib. Dig., 10(3), pp. 41-57.
6. Simitses, G. J., 1987, "Instability of Dynamically Loaded Structures," Appl. Mech. Rev., 40(10), pp. 1403-1408.
7. Nayfeh, A. H., and Mook, D. T., 1979, Non-Linear Oscillations, Wiley, New York.
8. Bert, C. W., and Birman, V., 1988, "Parametric Instability of Thick Orthotropic Circular Cylindrical Shells," Acta Mech., 71, pp. 61-76.
9. Sanders, J. L., Jr., 1959, "An Improved First-Approximation Theory, NASA Report No. R-24, NASA, Washington, D.C.
10. Love, A. E. H., 1927, 1944, A Treatise on the Mathematical Theory of Elasticity, Reprint, 4th ed., Dover, New York.
11. Donnell, L. H., 1933, "Stability of Thin Walled Tubes Under Torsion," Technical Report No. 479, N.A.C.A., Washington, DC.
12. Einaudi, R., 1936, "Sulle Conflgurazioni di Equilibrio Instabili di una Piastra Sollecitata da Sforgi Tangenziale Pulsanti," Atti Accad. Gioenia J. Memoria, 20, pp. 1-5.
13. Simons, D. A., and Leissa, A. W., 1971, "Vibrations of Rectangular Cantilever Plates Subjected to In-Plane Acceleration Loads," J. Sound Vib., 17(3), pp. 407-422.
14. Yamaki, N., and Nagai, K., 1975, "Dynamic Stability of Rectangular Plates Under Periodic Compressive Force," Report of the Institute of High Speed Mechanics, Report No. 32, Tohoku University, pp. 103-127.
15. Tani, J., and Nakumara, T., 1978, "Dynamic Instability of Annular Plates Under Pulsating Radial Loads," J. Acoust. Soc. Am., 64, pp. 827-831.
16. Dixon, P., and Wright, J., 1972, "Parametric Instability of Flat Plates," Symposium, Nonlinear Dynamics, Loughborough University of Technology.
17. Carlson, R. L., 1974, "An Experimental Study of the Parametric Excitation of a Tensioned Sheet With a Crack Like Opening," Exp. Mech., 14, pp. 452-460.
18. Datta, P. K., 1978, "An Investigation of the Buckling Behaviour and Parametric Resonance Phenomenon of a Tensioned Sheet With a Central Opening," J. Sound Vib., 58(4), pp. 527-534.
19. Datta, P. K., 1983, "Parametric Instability of Tensioned Panels With Central Opening and Edge Slot," Proceedings of the 9th CANCAM, University of Saskatchewan, Saskatchewan, Canada, May 30-June 3, pp. 99-100.
20. Ostiguy, G. L., Samson, L. P., and Nguyen, H., 1993, "On the Occurrence of Simultaneous Resonances in Parametrically Excited Rectangular Plates." Trans. ASME, J. Vib. Acoust., 115, pp. 344-352.
21. Hutt, J. M., and Salam, A. E., 1971, "Dynamic Stability of Plates by Finite Element," J. Engrg. Mech. Div., 97(3), pp. 879-899.
22. Prabhakara, D. L., and Datta, P. K., 1993, "Parametric Instability Characteristics of Rectangular Plates With Localized Damage Subjected to In-Plane Periodic Load," Struct. Eng. Rev., 5(1), pp. 71-79.
23. Deolasi, P. J., and Datta, P. K., 1995, "Parametric Instability Characteristics of Rectangular Plates Subjected to Localized Edge Loading (Compression or Tension)," Comput. Struct., 54(1), pp. 73-82.
24. Deolasi, P. J., and Datta, P. K., 1995, "Effects of Damping on Parametric Instability Characteristics of Plates under Localized Edge Loading (Compression or Tension)," Struct. Eng. Mech., 3(3), pp. 229-244.
25. Deolasi, P. J., and Datta, P. K., 1997, "Simple and Combination Resonances of Rectangular Plates Subjected to Non-Uniform Edge Loading With Damping," Eng. Struct., 19(12), pp. 1011-1017.
26. Deolasi, P. J., and Datta, P. K., 1997, "Experiments on the Parametric Vibration Response of Plates Under Tensile Loading," Exp. Mech., 37, pp. 56-61.
27. Aboudi, J., Cederbaum, G., and Elishakoff, I., 1990, "Dynamic Stability Analysis of Viscoelastic Plates by Lyapunov Exponents," J. Sound Vib., 139(3), pp. 459-467.
28. Sinha, S. K., 1989, "Comments on 'Dynamic Stability of a Rectangular Plate Subjected to Distributed In-Plane Dynamic Force," J. Sound Vib., 128(3), pp. 505-507.
29. Shen, I. Y, and Mote, C. D., Jr., 1991, "Parametric Resonances of a Circular Plate With Inclusions Subjected to a Rotating Spring," J. Sound Vib., 149(1), pp. 164-169.
30. Chen, L. W, Hwang, J. R., and Doong, J. L., 1989, "Asymmetric Dynamic Stability of Thick Annular Plates Based on a High Order Plate Theory," J. Sound Vib., 130(3), pp. 425-437.
31. Mermertas, V., and Belek, H. T., 1990, "Static and Dynamic Stability of Variable Thickness Annular Plates," J. Sound Vib., 141(3), pp. 435-448.
32. Young, T. H., Lee, C. W., and Chen, F. Y., 2002, "Dynamic Stability of Skew Plates Subjected to Aerodynamic and Random In-Plane Forces," J. Sound Vib., 250(3), pp. 401-414.
33. Baldinger, M., Beliav, A. K., and Irshik, H., 2000, "Principal and Second Instability Regions of Shear Deformable Polygonal Plates," Comput. Mech., 26, pp. 288-294.
34. Srivastava, A. K. L., Datta, P. K., and Sheikh, A. H., 2004, "Parametric Instability of Stiffened Plates," Appl. Mech. Eng., 9(1), pp. 169-180.
35. Srivastava, A. K. L., Datta, P. K., and Sheikh, A. H., 2003, "Dynamic Instability of Stiffened Plates Subjected to Non-uniform Harmonic In-Plane Edge Loading," J. Sound Vib., 262(5), pp. 1171-1189.
36. Srivastava, A. K. L., Datta, P. K., and Sheikh, A. H., 2002, "Vibration and Dynamic Stability of Stiffened Plate Subjected to Non-Uniform In-Plane Edge Loading," Int. J. Struct. Stab. Dyn., 2(2), pp. 185-206.
37. Takahashi, K., and Konishi, Y., 1988, "Dynamic Stability of Rectangular Plate Subjected to Distributed In-Plane Dynamic Force," J. Sound Vib., 123(1), pp. 115-127.
38. Takahashi, K., Tagewa, M., and Ikeda, T., 1983, "Dynamic Stability of a Rectangular Plate Subjected to In-Plane Moment," Theoretical and Applied Mechanics, Proceedings 33rd Japan National Congress for Applied Mechanics, Tokyo, Dec. 1-2, 33, pp. 311-318.
39. Langley, R. S., 1996, "The Response of Two-Dimensional Periodic Structures to Point Harmonic Forcing," J. Sound Vib., 197, pp. 447-469.
40. Prabhakara, D. L., and Datta, P. K., 1997, "Vibration, Buckling and Parametric Instability Behaviour of Plates With Centrally Located Cutouts Subjected to In-Plane Edge Loading (Tension or Compression)," Thin-Walled Struct., 27(4), pp. 287-310.
41. Srivastava, A. K. L., Datta, P. K., and Sheikh, A. H., 2003, "Dynamic Stability of Stiffened Plate With Cutout Subjected to In-Plane Uniform Edge Loading," Int. J. Struct. Stab. Dyn., 3(3), pp. 391-404.
42. Sassi, S., Smaoui, H., Thomas, M., and Laville, F., 2001, "More Details About the Interaction of Forced and Parametric Resonances Arising from In-Plane Excitation of Imperfect Rectangular Plates," J. Sound Vib., 243(3), pp. 503-524.
43. Cederbaum, G., 1994, "On the Effect of In-Plane Inertia on the Dynamic Stability of Non-Linear Plates," J. Sound Vib., 175(3), pp. 428-432.
44. Ganapathi, M., Patel, B. P., Boisse, P., and Touratier, M., 2000, "Non-Linear Dynamic Stability Characteristics of Elastic Plates Subjected to Periodic In-Plane Load," Int. J. Non-Linear Mech., 35(3), pp. 467-480.
45. Touati, D., and Cederbaum, G., 1994, "Dynamic Stability of Non-Linear Visco-Elastic Plates," Int. J. Solids Struct., 31, pp. 2367-2376.
46. Saha, K. N., Kar, R. C., and Datta, P. K., 1997, "Dynamic Stability of a Rectangular Plate on Non-Homogeneous Winkler Foundation," Comput. Struct., 63(6), pp. 1213-1222.
47. Lee, H. P., and Ng, T. Y., 1995, "Dynamic Stability of a Plate on Multiple Line and Point Supports Subject to Pulsating Conservative In-Plane Loads," J. Sound Vib., 185(2), pp. 345-356.
48. Lee, J. S., 1996, "Dynamic Stability of Conducting Beam-Plates in Transverse Magnetic Fields," J. Eng. Mech., 122(2), pp. 89-94.
49. Forys, A., 1999, "Optimisation of Parametrically Excited Mechanical Systems Against Loss of Dynamic Stability," J. Sound Vib., 226(5), pp. 873-890.
50. Kim, C. H., Perkins, N. C., and Lee, C. W., 2003, "Parametric Resonance of Plates in a Sheet Metal Coating Process," J. Sound Vib., 268(4), pp. 679-697.
51. Datta, P. K., and Deolasi, P. J., 1996, "Dynamic Instability Characteristics of Plates Subjected to Partially Distributed Follower Edge Loading With Damping," Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci., 210, pp. 445-452.
52. Ambartsumian, S. A., and Khachaturian, A. A., 1960, "On the Stability of Vibrations of Anisotropic Plates," Izv. Akad. Nauk, SSSR No. 1, pp. 113-122.
53. Birman, V., 1985, "Dynamic Stability of Un-Symmetrically Laminated Rectangular Plates," Mech. Res. Commun., 12, pp. 81-86.
54. Mond, M., and Cederbaum, G., 1992, "Dynamic Instability of Antisymmetric Laminated Plates," J. Sound Vib., 154, pp. 271-279.
55. Srinivasan, R. S., and Chellapandi, P., 1986, "Dynamic Stability of Rectangular Laminated Composite Plates," Comput. Struct., 24, pp. 233-238.
56. Bert, C. W., and Birman, V., 1987, "Dynamic Instability of Shear Deformable Anti-Symmetric Angle-Ply Plates, Int. J. Solids Struct., 23, pp. 1053-1061.
57. Cederbaum, G, 1991, "Dynamic Stability of Shear Deformable Laminated Plates," AIAA J., 29, pp. 2000-2005.
58. Chen, C. C., and Yang, J. Y., 1990, "Dynamic Stability of Laminated Composite Plates by Finite Element Method," Comput. Struct., 36(5), pp. 845-851.
59. Moorthy, J., Reddy, J. N., and Plaut, R. H., 1990, "Parametric Instability of Laminated Composite Plates With Transverse Shear Deformation," Int. J. Solids Struct., 26, pp. 801-811.
60. Kwon, Y. W., 1991, "Finite Element Analysis of Dynamic Stability of Layered Composite Plates Using a High Order Bending Theory," Comput. Struct., 38, pp. 57-62.
61. Chattopadhyay, A., and Radu, A. G., 2000, "Dynamic Stability of Composite Laminates Using a Higher Order Theory," Comput. Struct., 77, pp. 453-460.
62. Pavlovic, R. G., 1994, "Dynamic Stability of Anti-symmetrically Laminated Angle-Ply Rectangular Plates Subjected to Random Excitation," J. Sound Vib., 171, pp. 87-95.
63. Tylikowski, A., 1989, "Dynamic Stability of Non-linear Anti-symmetrically Laminated Cross-ply Rectangular Plates," ASME J. Appl. Mech., 56, pp. 375-381.
64. Cederbaum, G., 1993, "Dynamic Stability of Laminated Plates With Physical Non-Linearity," Compos. Struct., 23(2), pp. 121-129.
65. Librescu, L., and Thangjitham, S., 1990, "Parametric Instability of Laminated Composite Shear Deformable Flat Panels Subjected to In-Plane Edge Loads," Int. J. Non-Linear Mech., 25, pp. 263-273.
66. Gilat, R., and Aboudi, J., 2000, "Parametric Stability of Non-Linearly Elastic Composite Plates by Lyapunov Exponents," J. Sound Vib., 235, pp. 627-637.
67. Balamurugan, V., Ganapathi, M., and Varadan, T. K., 1996, "Non-Linear Dynamic Stability of Laminated Composite Plates Using Finite Element Method," Comput. Struct., 60, pp. 125-130.
68. Ganapathi, M., Boisse, P., and Solaut, D., 1999, "Non-Linear Dynamic Stability Analysis of Composite Laminates Under Periodic In-Plane Loads," Int. J. Numer. Methods Eng., 46, pp. 943-956.
69. Chen, L. W., and Chen, C. C., 1989, "Axisymmetric Vibration and Dynamic Stability of Bimodulus Thick Annular Plates," Comput. Struct., 31, pp. 1013-1022.
70. Jzeng, B. T., Lin, P. D., and Chen, L. W., 1992, "Dynamic Stability of Bimodulus Thick Plates," Comput. Struct., 45, pp. 745-753.
71. Chen, L. W., and Juang, D. P., 1987, "Axisymmetric Dynamic Stability of a Bimodulus Thick Circular Plate," Comput. Struct., 26(6), pp. 933-939.
72. Chen, L. W., and Hwang, J. R., 1988, "Axisymmetric Dynamic Stability of Polar Orthotropic Thick Circular Plates," J. Sound Vib., 125(3), pp. 555-563.
73. Cederbaum, G., 1991, "Dynamic Instability of Viscoelastic Orthotropic Laminated Plates," Compos. Struct., 19(2), pp. 131-144.
74. Cederbaum, G., Aboudi, J., and Elishakoff, I., 1991, "Dynamic Instability of Shear Deformable Visco-Elastic Laminated Plates by Lyapunov Exponents," Int. J. Solids Struct., 28(3), pp. 317-327.
75. Librescu, L., and Chandiramani, N. K., 1989, "Dynamic Stability of Transversely Isotropic Viscoelastic Plates," J. Sound Vib., 130(3), pp. 467-486.
76. Sahu, S. K., and Datta, P. K., 2000, "Dynamic Instability of Laminated Composite Rectangular Plates Subjected to Non-Uniform Harmonic In-Plane Edge Loading," Proc. Inst. Mech. Eng., Part G, U.K., 214, pp. 295-312.
77. Liao, C. L., and Cheng, C. R., 1994, "Dynamic Stability of Stiffened Laminated Composite Plates and Shells Subjected to In-Plane Pulsating Forces," J. Sound Vib., 174, pp. 335-351.
78. Chattopadhyay, A., Radu, A. G., and Dragomir-Daescu, D., 2000, "A Higher Order Plate Theory for Dynamic Stability Analysis of Delaminated Composite Plates," Comput. Mech., 26, pp. 302-308.
79. Wang, H. J., and Chen, L. W., 2003, "Axisymmetric Dynamic Stability of Sandwich Circular Plates," Compos. Struct., 59(1), pp. 99-107.
80. Wang, H. J., and Chen, L. W., 2004, "Axisymmetric Dynamic Stability of Rotating Sandwich Circular Plates," J. Vibr. Acoust., 126, pp. 407-415.
81. Patel, B. P., Ganapathi, M., Prasad, V., and Balamurugan, K. R., 1999, "Dynamic Instability of Layered Anisotropic Composite Plates on Elastic Foundations," Eng. Struct., 21, pp. 988-995.
82. Yeh, J. Y., and Chen, L. W., 2006, "Dynamic Stability Analysis of a Rectangular Orthotropic Sandwich Plate with Electro-Rheological Fluid Core," Compos. Struct., 72, pp. 33-41.
83. Yeh, J. Y., and Chen, L. W., 2005, "Dynamic Stability of a Sandwich Plate With a Constraining Layer and Electro-Rheological Fluid Core," J. Sound Vib., 285, pp. 637-652.
84. Marcus, S., Greenberg, J. B., and Stavsky, Y., 1995, "Coupled Thermoelastic Theory for Dynamic Stability of Composite Plates," J. Therm. Stresses, 18, pp. 335-357.
85. Ng, T. Y., Lam, K. Y., and Liew, K. M., 2000, "Effects of FGM Materials on the Parametric Resonance of Plate Structures," Comput. Methods Appl. Mech. Eng., 190, pp. 953-962.
86. Yang, J., Liew, K. M., and Kitipornchai, S., 2004, "Dynamic Stability of Laminated FGM Plates Based on Higher Order Shear Deformation Theory," Comput. Mech., 33, pp. 305-315.
87. Wu, L., Wang, H., and Wang, D., 2007, "Dynamic Stability Analysis of FGM Plates by the Moving Least Squares Differential Quadrature Method," Compos. Struct., 77, pp. 383-394.
88. Shukla, K. K., and Nath, Y., 2002, "Buckling of Laminated Composite Rectangular Plates Under Transient Thermal Loading," ASME J. Appl. Mech., 69, pp. 684-692.
89. Chen, Y. R., and Chen, L. W., 2004, "Axisymmetric Parametric Resonance of Polar Orthotropic Sandwich Annular Plates," Compos. Struct., 3-4, pp. 269-277.
90. Kim, J. H., and Kim, H. S., 2000, "A Study of the Dynamic Stability of Plates Under a Follower Force," Comput. Struct., 74, pp. 351-363.
91. Ravi Kumar, L., Datta, P. K., and Prabhakara, D. L., 2003, "Dynamic Instability Characteristics of Laminated Composite Plates Subjected to Partial Follower Edge Load With Damping," Int. J. Mech. Sci., 45, pp. 1429-1448.
92. Bublik, R. M., and Merkulov, V. I., 1942, "On the Dynamic Stability of Thin Elastic Shell Filled With Liquid," Prikl. Mat. Mekh., (NS), 6, pp. 87-88 (in Russian).
93. Yao, J. C., 1963, "Dynamic Stability of Cylindrical Shells Under Static and Periodic Axial and Radial Loads," AIAA J., 1(6), pp. 1391-1396.
94. Bieniek, M. P., Fan, T. C., and Lackman, L. M., 1966, "Dynamic Stability of Cylindrical Shells," AIAA J., 4(3), pp. 495-500.
95. Evenson, H. A., and Ewan-Iwanowski, R. M., 1967, "Dynamic Response and Stability of Shallow Spherical Shells Subjected to Time Dependent Loading," AIAA J., 5(5), pp. 969-075.
96. Vijayaraghavan, A., and Ewan-Iwanowski, R. M., 1967, "Parametric Instability of Circular Cylindrical Shells," ASME J. Appl. Mech., 31, pp. 985-990.
97. Koval, L. R., 1974, "Effect of Longitudinal Resonance on the Parametric Stability of Axially Excited Cylindrical Shells," J. Acoust. Soc. Am., 55, pp. 91-97.
98. Tani, J., 1976, "Influence of Deformations Prior to Instability on the Dynamic Instability of Conical Shells Under Periodic Axial Load," ASME J. Appl. Mech., 43, pp. 87-91.
99. Yamaki, N., and Nagai, K., 1976, "Dynamic Stability of Circular Cylindrical Shells Under Periodic Shearing Forces," J. Sound Vib., 45(4), pp. 513-527.
100. Yamaki, N., and Nagai, K., 1978, "Dynamic Stability of Circular Cylindrical Shells Under Periodic Compressive Forces," J. Sound Vib., 58, pp. 425-441.
101. Radwin, H. R., and Genin, J., 1978, "Dynamic Instability in Cylindrical Shells," J. Sound Vib., 56(3), pp. 373-382.
102. Ariaratnam, S. T., and Namachchivaya, N. S., 1986, "Dynamic Stability of Pipes Conveying Pulsating Fluid," J. Sound Vib., 107, pp. 215-230.
103. Chiba, M., Tani, J., Hashimoto, H., and Sudo, S., 1986, "Dynamic Stability of Liquid-Filled Cylindrical Shells Under Horizontal Excitation, Part I: Experiment," J. Sound Vib., 2, pp. 301-319.
104. Tylikowski, A., 1989, "Dynamic Stability of Viscoelastic Shells Under Time Dependent Membrane Loads," Int. J. Mech. Sci., 31, pp. 591-597.
105. Kratzig, W. B., and Eller, C., 1992, "Numerical Algorithms for Non-linear Unstable Dynamic Shell Responses," Comput. Struct., 44, pp. 263-271.
106. Kovtunov, V. B., 1993, "Dynamic Stability and Non-Linear Parametric Vibration of Cylindrical Shells," Comput. Struct., 46(1), pp. 149-156.
107. Ye, Z. M., 1997, "The Non-Linear Vibration and Dynamic Instability of Thin Shallow Shells," J. Sound Vib., 202(3), pp. 303-311.
108. Nawrotzki, P., Kratzig, W. B., and Montag, U., 1997, "A Unified Computational Stability Concept for Conservative and Non Conservative Shell Responses," Comput. Struct., 64(1-4), pp. 221-231.
109. Turhan, O., 1998, "A Generalized Bolotin's Method for Stability Limit Determination of Parametrically Excited Systems," J. Sound Vib., 216(5), pp. 851-863.
110. Nawrotzki, P., Kratzig, W. B., and Montag, U., 1998, "Dynamic Instability Analysis of Elastic and Inelastic Shells," Comput. Mech., 21, pp. 48-59.
111. Gilat, R., and Aboudi, J., 1994, "Dynamic Buckling of Viscoelastic Plates and Shells Under Cylindrical Bending," J. Sound Vib., 174(3), pp. 323-334.
112. Lam, K. Y., and Ng, T. Y., 1997, "Dynamic Stability of Cylindrical Shells Subjected to Conservative Periodic Axial Loads Using Different Shell Theories," J. Sound Vib., 207(4), pp. 497-520.
113. Lam, K. Y., and Ng, T. Y., 1999, "Parametric Resonance of Cylindrical Shells by Different Shell Theories," AIAA J., 37(1), pp. 137-140.
114. Ng, T. Y., Lam, K. Y., and Reddy, J. N., 1998, "Parametric Resonance of a Rotating Cylindrical Shell Subjected to Periodic Axial Loads," J. Sound Vib., 214(3), pp. 513-529.
115. Popov, A. A., 2003, "Parametric Resonance in Cylindrical Shells: A Case Study in the Non-Linear Vibration of Structural Shells," Eng. Struct., 25(6), pp. 789-799.
116. Popov, A. A., Thompson, J. M. T., and Croll, J. G. A., 1998, "Bifurcation Analysis in the Parametrical Excited Vibrations of Cylindrical Panels," Non-linear Dyn., 17, pp. 205-225.
117. Ng, T. Y., Lam, K. Y., and Reddy, J. N., 1999, "Dynamic Instability of Cylindrical Panel With Transverse Shear Effects," Int. J. Solids Struct., 36, pp. 3483-3496.
118. Ng, T. Y., Hua, L. I., Lam, K. Y., and Loy, C. T., 1999, "Parametric Instability of Conical Shells by the Generalized Differential Guadrature Method," Int. J. Numer. Methods Eng., 44, pp. 819-837.
119. Sahu, S. K., and Datta, P. K., 2001, "Parametric Instability of Doubly Curved Panels Subjected to Non-Uniform Harmonic Loading," J. Sound Vib., 240(1), pp. 117-129.
120. Sahu, S. K., and Datta, P. K., 2002, "Dynamic Stability of Curved Panels With Cutouts," J. Sound Vib., 251(4), pp. 683-696.
121. Noah, S. T., and Hopkins, G. R., 1980, "Dynamic Stability of Elastically Supported Pipes Conveying Pulsating Fluid," J. Sound Vib., 71(1), pp. 103-116.
122. Popov, A. A., Thompson, J. M. T., and Mcrobie, F. A., 2001, "Chaotic Energy Exchange Through Auto-Parametric Resonance in Cylindrical Shells," J. Sound Vib., 248(3), pp. 395-411.
123. Mcrobie, F. A., Popov, A. A., and Thompson, J. M. T., 2001, "Chaotic Energy Exchange Through Auto-Parametric Resonance in Cylindrical Shells," J. Sound Vib., 248(3), pp. 395-411.
124. Ganesan, N., and Kadoli, R. K., 2004, "A Study on the Dynamic Stability of a Cylindrical Shell Conveying a Pulsatile Flow of Hot Fluid," J. Sound Vib., 274(3-5), pp. 953-984.
125. Javidruzi, M., Vafai, A., Chen, J. F., and Chilton, J. C., 2004, "Vibration, Buckling and Dynamic Stability of Cracked Cylindrical Shells," Thin-Walled Struct., 42(1), pp. 79-99.
126. Zhu, J. Q., Chen, C., and Shen, Y. P., 2003, "Three Dimensional Analysis of the Dynamic Stability of Piezoelectric Circular Cylindrical Shells," Eur. J. Mech. A/Solids, 22(3), pp. 401-411.
127. Djondjorov, P., Vassilev, V., and Dzhupanov, V., 2001, "Dynamic Stability of Fluid Conveying Cantileverd Pipes on Elastic Foundations," J. Sound Vib., 247(3), pp. 537-546.
128. Tao, M., and Zhang, W., 2002, "Dynamic Stability of a Rotor Partially Filled With a Viscous Liquid," J. Appl. Mech., 69, pp. 705-707.
129. Most, T., Bucher, C., and Schorling, Y., 2004, "Dynamic Stability Analysis of Non-Linear Structures With Geometrical Imperfections Under Random Loading," J. Sound Vib., 276(1-2), pp. 381-400.
130. Jung, S. W., Na, K. S., and Kim, J. H., 2005, "Dynamic Stability of Liquid Filled Projectiles Under a Thrust," J. Sound Vib., 280, pp. 611-631.
131. Park, S. H., and Kim, J. H., 2000, "Dynamic Stability of a Free Cylindrical Shell Under a Follower Force," AIAA J., 38(6), pp. 1070-1077.
132. Ravi Kumar, L., Datta, P. K., and Prabhakara, D. L., 2004, "Dynamic Instability Characteristics of Doubly Curved Panels Subjected to Partially Distributed Follower Edge Loading With Damping, Proc. of I. Mech. E, U.K, Part C, J. Mech. Eng. Sci., 218, pp. 67-81.
133. Marcov, A. N., 1949, "Dynamic Stability of Anisotropic Cylindrical Shells," Prikl. Mat. Mekh., 13(2), pp. 145-150.
134. Ray, H., and Bert, C. W., 1984, "Dynamic Instability of Suddenly Heated Thick Composite Shells," Int. J. Eng. Sci., 22(1-2), pp. 1259-1268.
135. Cederbaum, G., 1992, "Analysis of Parametrically Excited Laminated Shells," Int. J. Mech. Sci., 34(3), pp. 241-250.
136. Argento, A., and Scott, R. A., 1993, "Dynamic Instability of Layered Anisotropy Circular Cylindrical Shells, Part I: Theoretical Development," J. Sound Vib., 162, pp. 311-322.
137. Argento, A., and Scott, R. A., 1993, "Dynamic Instability of Layered Anisotropic Circular Cylindrical Shells, Part II: Numerical Results," J. Sound Vib., 162, pp. 323-332.
138. Argento, A., 1993, "Dynamic Instability of a Composite Circular Cylindrical Shell Subjected to Combined Axial and Torsional Loading," J. Compos. Mater., 27, pp. 1722-1738.
139. Ganapathi, M., and Balamurugan, V., 1998, "Dynamic Instability Analysis of a Laminated Composite Circular Cylindrical Shell," Comput. Struct., 69(2), pp. 181-189.
140. Ng, T. Y., Lam, K. Y., and Reddy, J. N., 1998, "Dynamic Instability of Cross-Ply Laminated Composite Cylindrical Shell," Int. J. Mech. Sci., 40(8), pp. 805-823.
141. Lam, K. Y., and Ng, T. Y., 1998, "Dynamic Stability Analysis of Laminated Composite Cylindrical Shells Subjected to Conservative Periodic Axial Loads," Composites, Part B, 29(6), pp. 769-785.
142. Ganapathi, M., Varadan, T. K., and Balamurugan, V., 1994, "Dynamic Instability of Laminated Composite Curved Panels Using Finite Element Method," Comput. Struct., 53(2), pp. 335-342.
143. Sahu, S. K., and Datta, P. K., 2001, "Parametric Resonance Characteristics of Laminated Composite Doubly Curved Shells Subjected to Non-Uniform Loading," J. Reinf. Plast Compos., 20(18), pp. 1556-1576.
144. Zhang, J., Campen, D. H., Zhang, G. Q., Bouwman, V., and Weeme, J. W., 2001, "Dynamic Stability of Doubly Curved Orthotropic Shallow Shells Under Impact" AIAA J., 39, pp. 956-961.
145. Ravi Kumar, L., Datta, P. K., and Prabhakara, D. L., 2003, "Tension Buckling and Dynamic Stability Behaviour of Laminated Composite Doubly Curved Panels Subjected to Partial Edge Loading," Compos. Struct., 60(2), pp. 171-181.
146. Sahu, S. K., and Datta, P. K., 2003, "Dynamic Stability of Laminated Composite Curved Panel With Cutouts," J. Eng. Mech., 129(11), pp. 1245-1253.
147. Ravi Kumar, L., Datta, P. K., and Prabhakara, D. L., 2004, "Tension Buckling and Parametric Instability Characteristics of Doubly Curved Panels With Circular Cutout Subjected to Non-Uniform Tensile Edge Loading," Thin-Walled Struct., 42, pp. 947-962.
148. Ganapathi, M., Patel, B. P., Sambandam, C. T., and Touratier, M., 1999, "Dynamic Instability Analysis of Circular Conical Shells," Compos. Struct., 46, pp. 59-64.
149. Ganapathi, M., Patel, B. P., and Sambandam, C. T., 1999, "Parametric Dynamic Instability Analysis of Laminated Composite Conical Shells," J. Reinf. Plast. Compos., 18(14), pp. 1336-1346.
150. Kamat, S., Ganapathi, N., and Patel, B. P., 2001, "Analysis of Parametrically Excited Laminated Composite Joined Conical-Cylindrical Shells," Comput. Struct., 79(1), pp. 65-76.
151. Birman, V., and Bert, C. W., 1990, "Dynamic Stability of Reinforced Composite Cylindrical Shells in Thermal Fields," J. Sound Vib., 142(2), pp. 183-190.
152. Ng, T. Y., Lam, K. Y., Liew, K. M., and Reddy, J. N., 2001, "Dynamic Stability of Functionally Graded Cylindrical Shells Under Periodic Axial Loading," Int. J. Solids Struct., 38, pp. 1295-1309.
153. Yang, J., and Shen, H. S., 2003, "Free Vibration and Parametric Resonance of Shear Deformable Functionally Graded Cylindrical Panels," J. Sound Vib., 261(5), pp. 871-893.
154. Kadoli, R., and Ganesan, N., 2004, "Parametric Resonance of a Composite Cylindrical Shell Containing Pulsatile Flow of Hot Fluid," Compos. Struct., 65, pp. 391-404.
155. Ravi Kumar, L., Datta, P. K., and Prabhakara, D. L., 2005, "Dynamic Stability Characteristics of Doubly Curved Panels With Circular Cutout Subjected to Follower Edge Load," Aircr. Eng. Aerospace Technol., 77(1), pp. 52-61.
156. Ravi Kumar, L., Datta, P. K., and Prabhakara, D. L., 2005, "Dynamic Instability Characteristics of Laminated Composite Doubly Curved Panels Subjected to Partially Distributed Follower Edge Loading," Int. J. Solids Struct., 42, pp. 2243-2264.