DIRECT INTEGRATION METHOD FOR ANALYSIS OF A CERTAIN CLASS OF NONLINEAR DYNAMIC PROBLEMS

被引：6

作者：

GELLERT, M

机构：

[1] Department of Civil Engineering, Technion-Israel Institute of Technology, Technion City Haifa

来源：

INGENIEUR ARCHIV | 1979年 / 48卷 / 06期

关键词：

D O I：

10.1007/BF00536554

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A new efficient algorithm for direct integration of a classs of non-linear dynamic systems is presented. The systems which can be effectively solved by the proposed algorithm stem usually from spatial discretization of problems in non-linear elasticity and some related fields. For this sort of equations the algorithm is proven to be unconditionally stable. The global (accumulated) truncation error is of order Δt2, hence relatively high precision is attained without iteration of integration steps. A series of examples is successfully solved for testing purposes. © 1979 Springer-Verlag.

引用

页码：403 / 415

页数：13

共 31 条

[1]

ADELI H, 1978, J STRUCT DIV-ASCE, V104, P263

[2]

[Anonymous], COMPUTER METHODS APP

[3]

Argyris J. H., 1973, Computer Methods in Applied Mechanics and Engineering, V2, P203, DOI 10.1016/0045-7825(73)90015-7

[4] NATURAL FACTOR IN NON-LINEAR ANALYSIS [J].

ARGYRIS, JH ;

JOHNSEN, TL ;

MLEJNEK, HP .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1978, 15 (03) :365-388

[5]

ARGYRIS JH, 1973, EARTHQ ENG STRUCT D, V2, P185

[6]

Bathe K.J., 1973, EARTHQ ENG STRUCT D, V1, P283, DOI DOI 10.1002/EQE.4290010308

[7] UNCONDITIONAL STABILITY OF AN IMPLICIT ALGORITHM FOR NONLINEAR STRUCTURAL DYNAMICS [J].

BELYTSCHKO, T ;

SCHOEBERLE, DF .

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1975, 42 (04) :865-869

[8]

FUJII H, 1972, ADV COMPUTATIONAL ME, P201

[9] NEW ALGORITHM FOR INTEGRATION OF DYNAMIC-SYSTEMS [J].

GELLERT, M .

COMPUTERS & STRUCTURES, 1978, 9 (04) :401-408

[10]

GINSBURG S, 1977, THESIS TECHNION ISRA

← 1 2 3 4 →