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二维网格结构的拟膜分析法
史 姣1, 王正中1, 蔡 坤2
1.西北农林科技大学 水利与建筑工程学院;2.大连理工大学 工业装备结构分析国家重点实验室
摘要:
分析了具有正交对角型单胞的平面网格结构。将其比拟为平面膜结构,并求出膜的面内刚度参数。给出平面网格结构嵌入各向同性基体材料而成的复合材料板的弹性本构参数表达式,并用数值方法简单验证了复合材料弹性本构参数表达式的正确性。
关键词:  二维网格结构  拟膜法  单胞  复合材料  弹性本构参数
DOI:
分类号:
基金项目:
Analysis of 2-D lattice structure by pseudo-membrane method
Abstract:
Pseudo-membrane (PMB) method is presented in this paper to deal with two-dimensional (2-D) elastic structural problems.Based on the energy equivalence rule,a 2-D LS is considered as a continuum membrane which is called Pseudo-Membrane.A unit cell model of orthogonal-diagonal lattice structure (LS) is set up.And the membrane's elastic constitutive parameters (ECPs) are expressed by the geometry and material parameters of the unit cell.Then a composite material is formed by embedding such lattice structure in isotropic base material.Finally the ECPs of the 2-D composite material are given as well and are verified numerically.
Key words:  lattice structure  pseudo-membrane method  unit cell  composite material  elastic constitutive parameter