摘要
对于桁架、刚架及薄壁结构等,人们很容易进行机动分析,而对于板、壳等连续体则不然。本文通过建立节点外载与高斯积分点上的应变之关系,给出静不定度的普遍定义,说明刚度矩阵积分点数目的确定必须从全结构考虑,使得积分点上的应变总数λ大于结构的节点自由度数μ,否则刚度矩阵奇异.
The indeterminate analysis on the truss,rigid frame or thin wall structures is easy,but it is not on the plate or shell structures.In this paper,the relation between the nodal loads and the strains at the Gauss integration points is established.The generalized definition on the degree of statistical indeterminacy is given.The deter- mination of the number of integration point,when numerical integration is required to evaluate the stiffness matrix,is illustrated,i.e.,the number of the strains at the integration points λ must be larger than the number of the degree of the nodal freedom μ in the structure,otherwise the stiffness matrix is singular.
出处
《深圳大学学报（理工版）》
EI
CAS
1989年第1期54-58,共5页
Journal of Shenzhen University(Science and Engineering)
