摘要
本文利用张量的概念对板壳几何非线性有限元的基本理论进行了分析。从能量的观点导出了非线性有限元的刚度矩阵,着重对其中各子矩阵进行了详细的分析。尤其对非线性形变做了进一步修正。用此数学模型编制的大型计算机程序对多个算例的计算结果表明所获得的解答更为精确。
The paper analyzed the basical theory of geometrical nonlinear finite element of plate-shell by means of tensor calculus.It derived the rigidity matrix of nonlinear finite element from the point of view of energy and inspected emphatically every small matrix in the rigidity matrix. Specially;the paper further made Correction to the part of nonlinear deformation.The results that many examples were calculated by the large type of computer programme worked out by above mathematic model shown that the solution is more exact.
出处
《辽宁石油化工大学学报》
CAS
1989年第2期60-71,共12页
Journal of Liaoning Petrochemical University
关键词
板壳
几何非线性
有限元
刚度矩阵
形变
张量
Plate-shell
Geometrical nonlinear
Finite element
Rigdity matrix
Strain
Tensor
