A finite element analysis on random vibration of nonlinear shell structures

Journal of Sound and Vibration

Volumn 291, Issue 1-2, 2006, Pages 240-257

  Chang, T P ^a   Chang, H C ^b   Liu, M F ^c  

^a NATIONAL KAOHSIUNG UNIVERSITY OF APPLIED SCIENCES   (Taiwan)

^b SHU TE UNIVERSITY   (Taiwan)

^c I SHOU UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

DEFLECTION (STRUCTURES); DEFORMATION; EARTHQUAKE EFFECTS; GEOMETRY; NONLINEAR CONTROL SYSTEMS; STIFFNESS; VIBRATION CONTROL;

ACOUSTIC LOADINGS; MONTE CARLO SIMULATION TECHNIQUE; NONLINEAR SHELL STRUCTURES; NONSTATIONARY RANDOM EXCITATION; RANDOM VIBRATION;

FINITE ELEMENT METHOD;

EID: 30344450092     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2005.06.004     Document Type: Article

References (29)

1. J.A. Stricklin, and W.E. Haisler Evaluation of solution procedure for material and/or geometrically nonlinear structural analysis AIAA 11 1973 292 299
2. P.G. Bergan, and T. Soreide A comparative study of different numerical solution techniques as applied to a nonlinear structural problem Computer Methods in Applied Mechanics and Engineering 2 1973 185 201
3. R.D. Wood, and O.C. Zienkiewicz Geometrically nonlinear finite element analysis of beams, frames, arches and axisymmetric shells Computer & Structures 7 1976 725 735
4. G. Horrigmore, and P.G. Bergan Nonlinear analysis of free-form shells by flat finite elements Computer Methods in Applied Mechanics and Engineering 16 1978 11 35
5. K.J. Bathe, and A.P. Cimento Some practical procedures for the solution of nonlinear finite element equations Computer Methods in Applied Mechanics and Engineering 22 1979 56 85
6. K.S. Surana Geometrically nonlinear formulation for the curved shell elements International Journal for Numerical Methods in Engineering 19 1983 581 615
7. D. Chakrovororty, J.N. Bandyopadhyay, and P.K. Sinha Finite element free vibration analysis of conoidal shells Computer & Structures 56 1994 975 978
8. G. Ramesh, and C.S. Krishnamoorthy Geometrically non-linear analysis of plates and shallow shells by dynamic relaxation Computer Methods in Applied Mechanics and Engineering 123 1995 15 32
9. A.A. El Damatty, R.M. Korol, and F.A. Mirza Large displacement extension of consistent shell element for static and dynamic analysis Computers & Structures 62 6 1997 943 960
10. D. Yadav, and N. Verma Free vibration of composite circular cylindrical shells with random material properties. Part I: General theory Composite Structures 41 1998 331 338
11. R. Mao, and F.W. Williams Nonlinear analysis of cross-ply thick cylindrical shells under axial compression International Journal of Solids Structures 35 17 1998 2151 2171
12. T.-P. Chang, and H.-C. Chang Nonlinear vibration analysis of geometrically nonlinear shell structures Mechanics Research Communications 27 2 2000 173 180
13. L. Vu-Quoc, H. Deng, and X.G. Tan Geometrically exact sandwich shells: The dynamic case Computer Methods in Applied Mechanics and Engineering 190 2001 2825 2873
14. A.A. Popov Parametric resonance in cylindrical shells: a case study in the nonlinear vibration of structural shells Engineering Structures 25 2003 789 799
15. K. Nagai, S. Maruyama, and M. Oya T. Yamaguchi Chaotic oscillations of a shallow cylindrical shell with a concentrated mass under periodic excitation, Computers & Structures 82 2004 2607 2619
16. N. Krylov, and N. Bogolinbov Introduction to Nonlinear Mechanics 1943 Kiev, translation by Princeton University Press Princeton, NJ
17. R.C. Booton The analysis of nonlinear control systems with random inputs IRE Translation of Circuit Theory 1 1954 32 34
18. T.K. Caughey Equivalent linearization techniques Acoustical Society of America, Journal 35 1963 1706 1711
19. E.T. Foster Semilinear random vibration in discrete system Journal of Applied Mechanics, ASME 35 3 1968 560 564
20. A.K. Malhotra, and J. Penzien Nondeterministic analysis of offshore structures Journal of Engineering Mechanics Division, American Society of Civil Engineers 96 1970 985 1003
21. M.K. Kaul, and J. Penzien Stochastic seismic analysis of yielding offshore towers Journal of Engineering Mechanics Division, American Society of Civil Engineers 100 1974 1025 1038
22. T.S. Atalik, and S. Utku Stochastic linearization of multi-degree-of-freedom nonlinear systems International Journal of Earthquake Engineering Structure 4 1976 411 420
23. W.D. Iwan, and A.B. Mason Equivalent linearization for systems subjected to nonstationary random excitation International Journal of Nonlinear Mechanics 15 1980 71 82
24. T.P. Chang, T. Mochio, and E. Samaras Seismic response analysis of nonlinear structures Probabilistic Engineering Mechanics 1 3 1986 157 166
25. T.P. Chang, and J.L. Ke Nonlinear random vibration analysis of a nonuniform orthotropic circular plate Computer & Structures 60 1 1994 113 123
26. I. Elishakoff, and J. Fang Random vibration analysis of nonlinearly deformed beam by a new stochastic linearization technique International Journal of Solids Structures 32 11 1995 1571 1584
27. I. Elishakoff, and P. Colajanni Stochastic linearization critically re-examined Chaos, Solitons, Fractals 8 12 1997 1957 1972
28. R.D. Cook, D.S. Malkus, and E. Plesha Concepts and Application of Finite Element Analysis Third ed. 1989 Wiley New York
29. R.W. Clough, and J. Penzien Dynamics of Structures Second ed 1993 McGraw-Hill New York