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区别于一般圆柱壳,开口圆柱壳沿周向是不封闭的,因此具有四个边界,本文根据轴向梁式振动和轴向曲拱振动特性对各种端部与侧边边界条件下的壳体提出统一的位移振型函数,并根据哈密顿原理建立了材料参数与空间坐标相关的正交各向异性开口圆柱壳的动力变分方程,求出了不同材料属性下开敞圆柱壳固有频率与振型解的一般解析表达式,适用于任意边界条件下不同材料的开敞圆柱壳自由振动分析.
Different from the general cylindrical shell, the open cylindrical shell is not closed in the circumferential direction, and therefore has four boundaries. According to the vibration characteristics of axial beam vibration and axial arch, A unified displacement vibration mode function is proposed. Based on the Hamilton principle, the dynamic variational equations of an orthotropic open cylindrical shell with material parameters and spatial coordinates are established. The natural frequency of the open cylindrical shell with different material properties The general analytical expressions of solutions to vibration modes are applicable to the analysis of free vibration of open cylindrical shells with different materials under arbitrary boundary conditions.