An energy conserving co-rotational procedure for non-linear dynamics with finite elements

被引:28
作者
Crisfield, MA [1 ]
Shi, J [1 ]
机构
[1] QUEENS UNIV BELFAST, DEPT AERONAUT, BELFAST, ANTRIM, NORTH IRELAND
关键词
finite elements; time-integration; energy;
D O I
10.1007/BF01833292
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
A new procedure is proposed for implicit dynamic analysis using the finite element method. The main aim is to give stable solutions with large time-steps in the presence of significant rigid body motions, in particular rotations. In contrast to most conventional approaches, the time integration strategy is closely linked to the "element technology" with the latter involving a form of co-rotational procedure. For the undamped situation, the solution procedure leads to an algorithm that exactly conserves energy when constant external forces are applied (i.e. with gravity loading).
引用
收藏
页码:37 / 52
页数:16
相关论文
共 23 条
[1]  
Bathe K, 2000, FINITE ELEMENT METHO
[2]  
Bathe K. J., 1986, Finite element procedures in engineering analysis
[3]  
Belytschko T., 1983, Computational methods for transient analysis, P1
[4]   A CONSISTENT COROTATIONAL FORMULATION FOR NONLINEAR, 3-DIMENSIONAL, BEAM-ELEMENTS [J].
CRISFIELD, MA .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1990, 81 (02) :131-150
[5]   A COROTATIONAL ELEMENT TIME-INTEGRATION STRATEGY FOR NONLINEAR DYNAMICS [J].
CRISFIELD, MA ;
SHI, J .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1994, 37 (11) :1897-1913
[6]  
Crisfield MA., 1991, NON LINEAR FINITE EL, V1
[7]  
CRISFIELD MA, 1993, MODERN PRACTICE STRE, P3
[8]   DYNAMICS OF FLEXIBLE BEAMS FOR MULTIBODY SYSTEMS - A COMPUTATIONAL-PROCEDURE [J].
DOWNER, JD ;
PARK, KC ;
CHIOU, JC .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1992, 96 (03) :373-408
[9]  
HAUG E, 1977, 4TH P C STRUCT MECH
[10]   IMPROVED NUMERICAL DISSIPATION FOR TIME INTEGRATION ALGORITHMS IN STRUCTURAL DYNAMICS [J].
HILBER, HM ;
HUGHES, TJR ;
TAYLOR, RL .
EARTHQUAKE ENGINEERING & STRUCTURAL DYNAMICS, 1977, 5 (03) :283-292