任意旋转壳的振动特性计算

Vibration Calculation of Shells of Revolution

本文由旋转薄壳的基本方程导出了一组等效的一阶微分方程,并采用离散变量法对其进行求解。对于子午线出现尖角及双层旋转壳相耦合的情况,推导了相应的计算公式。文末给出了算例。

From the theory of the thin shells of revolution,a set of first-order differential equations about theeight state parameters of a shell of revolution are derived.The discrete-variable method is used to solve theequations.For a shell of revolution with acute-angled meridian,by using the continuity condition,the rela-tion of the state parameters between the two sides of the joint can be obtained.For a stucture formed bytwo coupled shells of revolution,a sub-structure method is proposed and the derived for mulas are present-ed.Two examples(i.e.a hemispherical shell and a gear hub)are presented at the end of the paper and theresults are compared with those of expere ments and those reported by other investigators utilizing varioustechniques.The examples show that the accuracy of the presented method is satisfactory.