A reduction method for nonlinear structural dynamic analysis

Computer Methods in Applied Mechanics and Engineering - Tập 49 Số 3 - Trang 253-279 - 1985
Sergio R. Idelsohn1, Alberto Cardona1
1Mechanics Laboratory, Institute of Technological Development for the Chemical Industry, Universidad Nacional del Litoral, and National Council for Scientific and Technological Research of Argentina, 3000 Santa Fe, Argentina

Tóm tắt

Từ khóa


Tài liệu tham khảo

Clough, 1979, Dynamic analysis of large structural systems with local nonlinearities, Comput. Meths. Appl. Mech. Engrg., 17/18, 107, 10.1016/0045-7825(79)90084-7

Dodds, 1980, Substructuring in linear and nonlinear analysis, Internat. J. Numer. Meths. Engrg., 15, 583, 10.1002/nme.1620150409

Owen, 1982, Substructuring techniques in material nonlinear analysis, Internat. J. Comput. & Structures, 15, 205, 10.1016/0045-7949(82)90013-X

Meirovitch, 1981, On the substructure synthesis method, AIAA J., 19, 940, 10.2514/3.51023

Wachspress, 1977, Two-level finite element computation, 877

Wellford, 1981, A block-iteration scheme for the solution of systems of equations resulting from linear and nonlinear finite element models, Comput. Meths. Appl. Mech. Engrg., 26, 33, 10.1016/0045-7825(81)90129-8

Dirschmid, 1982, An iteration procedure for reducing the expenses of static, elastoplastic and eigenvalue problems in finite element analysis, Comput. Meths. Appl. Mech. Engrg., 35, 15, 10.1016/0045-7825(82)90030-5

Leung, 1978, An accurate method of dynamic condensation in structural analysis, Internat. J. Numer. Meths. Engrg., 12, 1705, 10.1002/nme.1620121108

Guyan, 1965, Reduction of stiffness and mass matrices, AIAA J., 3, 380, 10.2514/3.2874

Irons, 1965, Structural eigenvalue problem: elimination of unwanted variables, AIAA J., 3, 961, 10.2514/3.3027

Wilson, 1982, Dynamic analysis by direct superposition of Ritz vectors, Earthquake Engrg. Struct. Dyn., 10, 813, 10.1002/eqe.4290100606

Nagy, 1979, Geometrically nonlinear finite element behavior using buckling mode superposition, Comput. Meths. Appl. Mech. Engrg., 19, 447, 10.1016/0045-7825(79)90070-7

Carnoy, 1981, Asymptotic study of the elastic post-buckling behavior of structures by the finite element method, Comput. Meths. Appl. Mech. Engrg., 29, 147, 10.1016/0045-7825(81)90111-0

Noor, 1980, Reduced basis technique for nonlinear analysis of structures, AIAA J., 18, 455, 10.2514/3.50778

Noor, 1981, Recent advances in reduction methods for nonlinear problems, Internat. J. Comput. & Structures, 13, 31, 10.1016/0045-7949(81)90106-1

Noor, 1982, On making large nonlinear problems small, Comput. Meths. Appl. Mech. Engrg., 34, 955, 10.1016/0045-7825(82)90096-2

Nickell, 1976, Nonlinear dynamics by mode superposition, Comput. Meths. Appl. Mech. Engrg., 7, 107, 10.1016/0045-7825(76)90008-6

Morris, 1977, The use of modal superposition in nonlinear dynamics, Internat. J. Comput. & Structures, 7, 65, 10.1016/0045-7949(77)90061-X

Remseth, 1979, Nonlinear static and dynamic analysis of framed structures, Internat. J. Comput. & Structures, 10, 879, 10.1016/0045-7949(79)90057-9

Landau, 1979, Comportamiento dinámico não-linear de estruturas pelo método de superposiçao modal, 129

Shah, 1979, Modal superposition method for computationally economical nonlinear structural analysis, J. Press. Vessel Tech., 101, 134, 10.1115/1.3454612

Bathe, 1981, On nonlinear dynamic analysis using substructuring and mode superposition, Internat. J. Comput. & Structures, 13, 699, 10.1016/0045-7949(81)90032-8

Cardona, 1983, Two stage finite element discretization in structural dynamics, 437

Huck, 1972, Application de l'analyse modale par elements finis au calcul de la reponse transitoire et forcee des structures elastiques

Milner, 1981, Accurate finite element analysis of large displacements in skeletal frames, Internat. J. Comput. & Structures, 14, 205, 10.1016/0045-7949(81)90005-5