Abstract

A model is proposed for studying the simultaneous parametric and longitudinal vibrations of an orthotropic cylindrical shell reinforced by longitudinal ribs of piecewise-constant thickness under the action of an axial time-harmonic load. The discrete location and changes in the thickness of the ribs are taken into account using generalized functions. The basic stages of solving the problem are considered with the combination of methods proposed. Using a numerical example, the dependences of the principal instability region on the geometric parameters of the ribs are plotted for the first time, and a comparison is made with the instability regions for the ribs with a mean-integral thickness. The model developed makes it possible to correct significantly the solutions of problems on calculation of the dynamic stability of orthotropic cylindrical shells with the ribs of piecewise-constant thickness.

中文翻译：

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轴向载荷下分段恒定厚度的纵向肋增强的圆柱壳的动力稳定性

摘要

提出了一个模型，用于研究在轴向时谐载荷作用下，由分段恒定厚度的纵向肋加强的正交异性圆柱壳的同时参数振动和纵向振动。使用广义函数考虑肋的离散位置和厚度变化。解决问题的基本阶段将结合所提出的方法加以考虑。使用数值示例，首次绘制了主要不稳定性区域对肋的几何参数的依赖性，并与具有平均积分厚度的肋的不稳定性区域进行了比较。