Buckling, flutter and vibration analyses of beams by integral equation formulations

Computers and Structures

Volumn 83, Issue 31-32, 2005, Pages 2632-2649

  Elfelsoufi, Z ^a   Azrar, L ^a  

^a ABDELMALEK ESSAADI UNIVERSITY   (Morocco)

Author keywords

Beam; BEM; Buckling; Flutter; Integral equation; Radial basis functions; Vibration

Indexed keywords

ALGEBRA; BOUNDARY ELEMENT METHOD; BUCKLING; EIGENVALUES AND EIGENFUNCTIONS; ELASTICITY; EQUATIONS OF MOTION; FLUTTER (AERODYNAMICS); INTEGRAL EQUATIONS; MATHEMATICAL MODELS; STRUCTURAL LOADS; VIBRATIONS (MECHANICAL);

CRITICAL LOADS; EIGENFREQUENCIES; EIGENMODES; NON-LINEAR VIBRATIONS;

BEAMS AND GIRDERS;

EID: 27344453203     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2005.04.001     Document Type: Article

References (30)

1. D. Nardini, and C.A. Brebbia A new approach to free vibration analysis using boundary elements C.A. Brebbia Boundary element method in engineering 1982 Springer Berlin 313 326
2. D.E. Beskos Boundary element methods in dynamic analysis. Part II (1986-1996) Appl Mech Rev ASME 50 1997 149 197
3. P.W. Partridge, C.A. Brebbia, and L.W. Wrobel The dual reciprocity boundary element method 1992 Computational Mechanics Publications Southampton
4. N. Kamiya, E. Andoh, and K. Nogae Eigenvalue analysis by the boundary element method: new developments Eng Anal Elem 2 1993 151 162
5. J.R. Chang, W. Yeih, and J.T. Chen Determination of the natural frequencies and natural mode of a rod using the dual BEM in conjunction with the domain partition technique Computat Mech 24 1999 29 40
6. V. Sladek, and J. Sladek Multiple reciprocity method in BEM formulations for solution of plate bending problems Eng Anal Bound Elem 17 1996 161 173
7. M. Tanaka, and W. Chen Dual reciprocity BEM applied to transient elstodynamic problems with differential quadrature method in time Comput Methods Appl Mech Eng 190 2001 2331 2347
8. G. Rong, H. Kisu, and C. Huang A new algorithm for bending problems of continuous and inhomogeneous beam by the BEM Adv Eng Softw 30 1999 339 346
9. M. Schanz, and H. Antes A boundary integral formulation for the dynamic behavior of a Timoshenko beam Adv Bound Elem Techn II, Hoggar 2001 475 482
10. J. Evangelos Sapountzakis solution of non-uniform torsion of bars by an integral equation method Comput Struct 77 2000 659 667
11. Katsikadelis JT, Tsiatas GC. Non-linear dynamic analysis of beams with variable stiffness. J Sound Vibrat [in press].
12. El Felsoufi Z., Azrar L. Modélisation des vibrations des poutres à section variable par la méthode des équations intégrales. 6éme congrès de mécanique, Tanger, Maroc, 2003;(1):7-8.
13. O. Brush Don, and B.O. Almroth Buckling of bar, plates and shells 1975 McGraw-Hill, Inc. New York
14. H. Ziegler Principle of structural stability 1968 Blasdell Publishing Company Waltham, MA
15. V.V. Bolotin Non conservative problems of the theory of elastic stability 1963 Pergamon, Press New York
16. G. Herrmann, and S. Nemat-Nasser Energy considerations in the analysis of the stability of non conservative structural systems in dynamic stability of structures 1967 Pergamon Press Oxford
17. H. Leipholz Stability of elastic systems 1980 Sijthoff & Noordhoff The Netherlands
18. Q.H. Zuo, and H.L. Schreyer Flutter and divergence instability of non conservative beams and plates Int J Solids Struct 33 9 1996 1355 1367
19. H.P. Lee Divergence and flutter of a cantilever rod with an intermediate spring support Int J Solids Struct 32 10 1995 1371 1382
20. H.P. Lee Damping effects on the dynamic stability of a rod subjected to intermediate follower loads Comput Methods Appl Mech Eng 131 1-2 1996 147 157
21. H.P. Lee Flutter of a cantilever rod with a relocatable lumped mass Comput Methods Appl Mech Eng 144 1-2 1997 23 31
22. S.Y. Lee, and K.C. Hsu Elastic instability of beams subjected to a partially tangential force J Sound Vibrat 186 1 1995 111 123
23. Q. Wang, and S.T. Quek Enhancing flutter and buckling capacity of column by piezoelectric layers Int J Solids Struct 39 16 2002 4167 4180
24. A.M. Gasparini, A.V. Saetta, and R.V. Vitaliani On the stability and instability regions of non-conservative continuous system under partially follower forces Comput Methods Appl Mech Eng 124 1-2 1995 63 78
25. Ryu. Si-Ung, and Y. Sugiyama Computational dynamics approach to the effect of damping on stability of a cantilevered column subjected to a follower force Computers & Structures 81 4 2003 265 271
26. Mohri F, Azrar L, Potier-Ferry M. Vibration of post-buckled thin walled elements. Journal of Sound and vibration, In press, 2004.
27. Boutyour EH, Azrar L, Potier-Ferry M. Linear vibration of buckled elastic structures with large rotations by an asymptotic numerical method". Submitted to Computers and Structures.
28. L. Azrar, R. Benamar, and R.G. White A Semi-analytical approach to the nonlinear dynamic response problem of elastic structures at large vibration amplitudes. Part I: General theory and application to the single mode approach to the free and forced vibrations of beams J Sound Vibrat 224 1999 183 207
29. L. Azrar, R. Benamar, and R.G. White A Semi-analytical approach to the nonlinear dynamic response problem of beams at large amplitudes Part II: Multimode approach to the steady state forced periodic response J Sound Vibrat 255 1 2002 1 41
30. Geradin M, Rixen D. Théorie des vibrations: Application à la dynamique des structures, Masson, 1993.