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Abstract

Free vibrations of rotating cylindrical shells with distributed springs were studied. Based on the Flügge shell theory, the governing equations of rotating cylindrical shells with distributed springs were derived under typical boundary conditions. Multicomponent modal functions were used to satisfy the distributed springs around the circumference. The natural responses were analyzed using the Galerkin method. The effects of parameters, rotation speed, stiffness, and ratios of thickness/radius and length/radius, on natural response were also examined.

中文翻译：

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分布弹簧旋转圆柱壳的振动

摘要

研究了带有分布弹簧的旋转圆柱壳的自由振动。基于Flügge壳理论，推导了典型边界条件下具有分布弹簧的旋转圆柱壳的控制方程。多分量模态函数用于满足圆周分布的弹簧。使用 Galerkin 方法分析自然反应。还检查了参数、旋转速度、刚度以及厚度/半径和长度/半径比对自然响应的影响。