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
[11]   FINITE-ELEMENT METHODS FOR NON-LINEAR ELASTODYNAMICS WHICH CONSERVE ENERGY [J].
HUGHES, TJR ;
CAUGHEY, TK ;
LIU, WK .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1978, 45 (02) :366-370
[12]  
LIM KL, 1994, ENG COMPUT, V11, P483
[13]  
LIM KL, 1992, THESIS IMPERIAL COLL
[14]  
ORAN C, 1973, J STRUCTURAL DIVISIO, V99, P973
[15]   A CONSISTENT COROTATIONAL FORMULATION FOR SHELLS USING THE CONSTANT STRESS CONSTANT MOMENT TRIANGLE [J].
PENG, X ;
CRISFIELD, MA .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1992, 35 (09) :1829-1847
[16]  
RANKIN CC, 1969, ASME J PRESSURE VESS, V108, P165
[17]   UNCONDITIONALLY STABLE ALGORITHMS FOR RIGID BODY DYNAMICS THAT EXACTLY PRESERVE ENERGY AND MOMENTUM [J].
SIMO, JC ;
WONG, KK .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1991, 31 (01) :19-52
[18]   THE DISCRETE ENERGY-MOMENTUM METHOD - CONSERVING ALGORITHMS FOR NONLINEAR ELASTODYNAMICS [J].
SIMO, JC ;
TARNOW, N .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1992, 43 (05) :757-792
[19]   ON A STRESS RESULTANT GEOMETRICALLY EXACT SHELL-MODEL .6. CONSERVING ALGORITHMS FOR NONLINEAR DYNAMICS [J].
SIMO, JC ;
RIFAI, MS ;
FOX, DD .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1992, 34 (01) :117-164
[20]   A NEW ENERGY AND MOMENTUM CONSERVING ALGORITHM FOR THE NONLINEAR DYNAMICS OF SHELLS [J].
SIMO, JC ;
TARNOW, N .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1994, 37 (15) :2527-2549