Three Dimensional Elasticity Solution for Vibration Problem of Thick Plate
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摘要: 本文以弹性动力学的基本方程为基础,推导出厚板的控制方程.给出了在横向强迫力作用下,厚板的应力、位移的动力响应.得出厚板的振动特征是由对称振动、反对称振动和剪切振动的三种模式组成.最后,将简支厚方板作为实例导出自振频率的特征方程,数值计算结果与经典理论、中厚板理论的结果作了比较.Abstract: In this paper,based upon the basic equations of three dimensional theory of elastodynamics,the governing differential equations of thick pla ie have been formulated.The dynamic response of stress and displacement of thick plate subjected to the transversed forced are obtained.It is shown that the vibrational characters of thick plate consist of three modes:thickness shear mode,symmetric mode and anti-symmetric mode.The characteristic equations of simply supported thick plate are derived and the comparison of the free vibration frequencics based on the classic theory,middle thickness plate theory and three dimensional elasticity theory are given.
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Key words:
- thick plate /
- free vibration /
- forced vibration
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