弹性基础上对称变化力学性能圆板的自由轴对称弯曲振动

Q4 Engineering

Vibrations in Physical Systems Pub Date : 2020-01-01 DOI:10.21008/J.0860-6897.2020.2.17

K. Magnucki

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引用次数: 1

摘要

本文的研究对象是一个边缘夹紧在弹性基础上的圆板。板的力学性能在厚度方向上呈对称变化。对考虑剪切效应的板的自由轴对称弯曲振动问题进行了分析研究。基于哈密顿原理得到了两个运动偏微分方程。对方程组进行了解析求解，导出了以板为例的轴对称振动的基本固有频率。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Free Axisymmetric Flexural Vibrations of Circular Plate with Symmetrically Varying Mechanical Properties Supported on Elastic Foundation

The subject of the paper is a circular plate with clamped edge supported on elastic foundation. Mechanical properties of the plate symmetrically vary in its thickness direction. Free axisymmetric flexural vibration problem of the plate with consideration of the shear effect is analytically studied. Two partial differential equations of motion based on the Hamilton principle are obtained. The system of equations is analytically solved and the fundamental natural frequency of axisymmetric vibration for example plates is derived.

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来源期刊

Vibrations in Physical Systems Engineering-Mechanics of Materials

CiteScore

0.70

自引率

0.00%

发文量