Exact dynamic and static stiffness matrices of shear deformable thin-walled beam-columns

Journal of Sound and Vibration

Volumn 267, Issue 1, 2003, Pages 29-55

  Kim, Moon Young ^a   Kim II, Nam ^a   Yun, Hee Taek ^b  

^a Sungkyunkwan University   (South Korea)

^b Korea Railroad Research Institute   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

BEAMS AND GIRDERS; COLUMNS (STRUCTURAL); EIGENVALUES AND EIGENFUNCTIONS; NATURAL FREQUENCIES; NUMERICAL METHODS; SHEAR DEFORMATION; STIFFNESS MATRIX; THIN WALLED STRUCTURES;

GOVERNING EQUATIONS; VLASOVS EQUATION;

VIBRATIONS (MECHANICAL);

EID: 0141988505     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-460X(02)01410-4     Document Type: Article

References (20)

1. P.O. Friberg, Coupled vibrations of beams-an exact dynamic element stiffness matrix, International Journal for Numerical Methods in Engineering 19 (1983) 479-493.
2. J.R. Banerjee, Coupled bending-torsional dynamic stiffness matrix for beam elements, International Journal for Numerical Methods in Engineering 28 (1989) 1283-1298.
3. J.R. Banerjee, S.A. Fisher, Coupled bending-torsional dynamic stiffness matrix for axially loaded beam elements, International Journal for Numerical Methods in Engineering 33 (1992) 739-751.
4. A.Y.T. Leung, Dynamic stiffness for lateral buckling, Computers and Structures 42 (3) (1992) 321-325.
5. J.R. Banerjee, F.W. Williams, Coupled bending-torsional dynamic stiffness matrix for Timoshenko beam elements, Computers and Structures 42 (3) (1992) 301-310.
6. J.R. Banerjee, F.W. Williams, Coupled bending-torsional dynamic stiffness matrix of an axially loaded Timoshenko beam element, International Journal of Solids and Structures 31 (6) (1994) 749-762.
7. J.R. Banerjee, F.W. Williams, Exact dynamic stiffness matrix for composite Timoshenko beams with applications, Journal of Sound and Vibration 194 (4) (1996) 573-585.
8. J.R. Banerjee, Free vibration of axially loaded composite Timoshenko beams using the dynamic stiffness matrix method, Computers and Structures 69 (1998) 197-208.
9. J.R. Banerjee, Dynamic stiffness formulation for structural elements: a general approach, Computers and Structures 63 (1) (1997) 101-103.
10. P.O. Friberg, Beam element matrices derived from Vlasov's theory of open thin-walled elastic beams, International Journal for Numerical Methods in Engineering 21 (1985) 1205-1228.
11. A.Y.T. Leung, S.P. Zeng, Analytical formulation of dynamic stiffness, Journal of Sound and Vibration 177 (4) (1994) 555-564.
12. S.B. Kim, M.Y. Kim, Improved formulation for spatial stability and free vibration of thin-walled tapered beams and space frames, Engineering Structures 22 (2000) 446-458.
13. W.H. Wittrick, F.W. Williams, A general algorithm for computing natural frequencies of elastic structures, The Quarterly Journal of Mechanics and Applied Mathematics 24 (1971) 263-284.
14. ABAQUS 1992 User's Manual Vols. I and II, Ver. 5.2. Hibbit, Karlsson & Sorensen, Inc.
15. J.H. Argyris, P.C. Dunne, D.W. Scharpf, On large displacement-small strain analysis of structures with rotational degrees of freedom, Computer Methods in Applied Mechanics and Engineering 14 (1978) 401-451.
16. J.H. Argyris, P.C. Dunne, G. Malejannakis, D.W. Scharpf, On large displacement-small strain analysis of structures with rotational degrees of freedom (continued form), Computer Methods in Applied Mechanics and Engineering 15 (1978) 99-135.
17. S.P. Chang S.B. Kim, M.Y. Kim, Stability of shear deformable thin-walled space frames and circular arches, Journal of Engineering and Mechanics American Society of Civil Engineers 122 (9) (1996) 844-854.
18. Microsoft IMSL Library 1995. Microsoft Corporation.
19. M.Y. Kim, S.P. Chang, S.B. Kim, Spatial stability and free vibration of shear flexible thin-walled elastic beams I: analytical approach, International Journal for Numerical Methods in Engineering 37 (1994) 4097-4115.
20. M.Y. Kim, S.P. Chang, S.B. Kim, Spatial stability and free vibration of shear flexible thin-walled elastic beams II: numerical approach, International Journal for Numerical Methods in Engineering 37 (1994) 4117-4140.