纵横向荷载联合作用下强厚度叠层矩形板的精确解

EXACT SOLUTION FOR THICK LAMINATES ACTED BY LONGITUDINAL AND LATERAL LOADS

抛弃任何有关位移或应力模式的人为假设,在文献(1)、(2)的基础上,引入δ-函数,对强厚度叠层矩形板在纵向与横向荷载联合作用下建立其状态方程。给出本问题的精确解析解,此解满足全部弹性力学方程,并计及了所有独立的弹性常数。无论层数多少,最后都归结为求解三元一次代数方程组。

Based on the Refs. (1)and(2) ,and quoting δ-function into the study,the state equation for the thick laminate acted by longitudinal and lateral loads is established. No simplifying hypothesis about displacement models or stress distribution has been introduced. The exact solutions which satisfy all the equations of elasticity are given in the paper. Each of the independent elastic constants is taken into account. No matter how many layers are considered, the final problem always leads to solving a set of linear algebraic equations of three unknowns.