Nonlinear vibration of thin plates with initial stress by spline finite strip method

Thin-Walled Structures

Volumn 32, Issue 4, 1998, Pages 275-287

  Cheung, Y K ^a   Zhu, D S ^b   Iu, V P ^c  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

^b HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^c Department of Civil Engineering   (Macao)

Author keywords

Internal resonance; Nonlinear frequency response behavior; Nonlinear vibration of plates; Spline finite element

Indexed keywords

DAMPING; FINITE ELEMENT METHOD; NATURAL FREQUENCIES; STRESS ANALYSIS; VIBRATIONS (MECHANICAL);

FORCED VIBRATION; INTERNAL RESONANCE; NONLINEAR VIBRATION; SPLINE FINITE STRIP METHOD;

PLATES (STRUCTURAL COMPONENTS);

EID: 0032272694     PISSN: 02638231     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0263-8231(98)00022-6     Document Type: Article

References (25)

1. Nayfeh AH, Mook DT. Nonlinear oscillations. Wiley-Interscience, 1979.
2. Sathyamoorthy M. Nonlinear vibrations of plates - a review. Shock Vib Dig 1983;15(6):3-16.
3. Bathe KJ. Finite element procedures in engineering analysis. Prentice-Hall, 1982.
4. Cheung YK, Lau SL, Wu SY. Incremental time-space finite strip method for nonlinear structural vibrations. Earthquake Engng Struct Dynam 1982;10:239-53.
5. Lau SL, Cheung YK, Wu SY. Nonlinear vibration of thin elastic plates. Part 1: Generalized incremental Hamilton's principle and element formulation. J Appl Mech, ASME 1984;51:837-44.
6. Lau SL, Cheung YK, Wu SY. Nonlinear vibration of thin elastic plates. Part 2: Internal resonance by amplitude-incremental finite element. J Appl Mech, ASME 1984;51(4):845-51.
7. Iu VP. Nonlinear vibration analysis of multilayer sandwich structures by incremental finite elements. PhD thesis. University of Hong Kong, 1985.
8. Grawford J, Atluri S. Nonlinear vibrations of a flat plate with initial stresses. J Sound Vibr 1975;43(1):117-29.
9. Harari A. Generalized nonlinear free vibrations of prestressed plates and shells. Int J Non-Linear Mech 1976;11:169-81.
10. Chen LW, Doong JL. Large amplitude vibration of an initially stressed moderately thick plate. J Sound Vibr 1983;89(4):499-508.
11. Bhimaraddi A. Nonlinear flexural vibrations of rectangular plates subjected to in-plane forces using a new shear deformation theory. Thin-Walled Struct 1987;5:309-27.
12. Yamaki N, Chiba M. Nonlinear vibrations of a clamped rectangular plate with initial deflection and initial edge displacement - part I: Theory. Thin-Walled Struct 1983;1:3-29.
13. Yamaki N, Otomo K, Chiba M. Nonlinear vibrations of a clamped rectangular plate with initial deflection and initial edge displacement - part II: Experiment. Thin-Walled Struct 1983;1:101-19.
14. Cheung YK. Finite strip method in structural analysis. Pergamon Press, 1976.
15. Sridharan S, Graves-Smith TR. Postbuckling analyses with finite strips. J Engng Mech Div, ASCE 1981;107:869-88.
16. Lengyel P, Cusens AR. A finite strip method for the geometrically nonlinear analysis of plate structures. Int J Numer Meth Engng 1983;19:331-40.
17. Cheung YK, Fan SC, Wu CQ. Spline finite strip in structure analysis. Proceedings of the International Conference on Finite Element Method, Shanghai, 1982:704-709.
18. Lau SCW, Hancock GJ. Buckling of thin flat-walled structures by a spline finite strip method. Thin-Walled Struct 1986;4(4):269-94.
19. Li WY, Cheung YK, Tham LG. Spline finite strip analysis of general plate. J Engng Mech Div, ASCE 1986;112(1):43-54.
20. Cheung YK, Zhu DS. Large deflection analysis of arbitrary shaped thin plates. Comput Struct 1987;16(5):811-4.
21. Zhu DS, Cheung YK. Postbuckling analysis of shells by spline finite strip. Comput Struct 1989;31(3):357-64.
22. Cheung YK, Zhu DS. Postbuckling analysis of circular cylindrical shells under external pressure. Thin-Walled Struct 1989;7:239-56.
23. Zhu DS, Cheung YK. Postbuckling analysis of circular cylindrical shell under combined loads. Comput Struct 1996;58(1):21-6.
24. Fan SC. Spline finite strip in structural analysis. PhD thesis, University of Hong Kong, 1982.
25. Zhu DS. Nonlinear static and dynamic analysis of plates and shells by spline finite strip method. PhD thesis, University of Hong Kong, 1988.