拉压异性非线性材料平面杆系应力应变分析

有许多材料在受拉和受压时所表现出的应力应变关系是不同的,通常还是非线性的。以两个指数函数近似表示拉压异性非线弹性材料的应力-应变关系,用位移法推导出了铰接于定轴转动刚体上的平面杆系结构应力和应变计算的普遍表达式,给出了计算刚体角位移的非线性方程,编制了数值计算程序,使这一问题得到了圆满的解决。

Stress-Strain Analysis for Nonlinearly Elastic Material of Strength Difference Plane Structure of Bars

Many materials have deferent stress -strain relation in tension and compression, generally the relation is nonlinear. Two exponential functions is used to approximately represent the stress-strain relation of strength different and nonlinearly elastic material. The displacement method is used to derive the universal expression of calculating stress and strain for structure of plane bars pinned to a turntable rigid body. The group of nonlinear equation for computing angular displacement of the rigid body has been given and general computing program has been worked out. This problem has been solved satisfactorily.