三层壳体计算的刚度等效方法

针对三层壳体计算复杂的问题,提出了一种较简单的计算三层壳体的方法--刚度等效法.该方法可以充分利用通用板壳理论的研究成果,直接使用通用板壳理论的公式.使用刚度等效法计算三层壳体可以减少计算工作量,并保留较高的计算精度.分析了通用板壳理论中的公式特点,根据刚度等效原理,给出了三层板的刚度等效计算过程,推导出了三层板的等效弹性模量和等效厚度的计算公式.在算例中,直接把三层板的等效弹性模量和等效厚度代入通用板壳理论的公式,计算出了弹性基础上三层圆柱壳体的位移.通过数值计算对刚度等效方法进行了验证.刚度等效方法可以用于其它多层薄壁壳体的计算.

Method of stiffness equivalence for calculating three-layer thin shells

A relatively simple method for calculating three-layer shells was proposed for the complex problem of three-layer shell calculation, named as the method of stiffness equivalence, which was based on the research achievement of general thin-shell theory and could directly use those theoretical formulas. It could not only cut down the labor resource, but also reserve the precision of the calculation by using this method. After analyzing the characteristics of those adopted formulas and using the principle of stiffness equivalence, the calculating process was given out; the formulas of the equivalent elastic module and the equivalent thickness were deduced. In the following example, The equivalent elastic module and the equivalent thickness were taken into the formulas of the general thin-shell theory, and the result of the three-layer column shell based on the elastic condition was obtained, which was further verified by numerical calculation. The calculating results show that the method of stiffness equivalence can be used for the calculation of three-layer thin shells.