| 非保守弹性基础板的拟固有频率变分原理 |
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| 引用本文： | 王忠民.非保守弹性基础板的拟固有频率变分原理[J].地球科学与环境学报,1997(Z1). |
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| 作者姓名： | 王忠民 |
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| 作者单位： | 西安理工大学理学院 |
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| 摘 要： | 对受随从力作用的非保守弹性基础矩形薄板，针对由微分－积分方程构成的基本方程和边界条件，建立了以挠度和基础反力为两变量的拟固有频率的广义变分原理，从而为该类问题的近似求解提供了理论基础。
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| 关 键 词： | 基础板 广义变分原理 非保守力 |
VARIATIONAL PRINCIPLES FOR THE QUASI-NATURAL FREQUENCY OF NONCONSERVATIVE RECTANGULAR PLATE ON ELASTIC FOUNDATION |
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| Wang Zhongmin.VARIATIONAL PRINCIPLES FOR THE QUASI-NATURAL FREQUENCY OF NONCONSERVATIVE RECTANGULAR PLATE ON ELASTIC FOUNDATION[J].Journal of Earth Sciences and Environment,1997(Z1). |
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| Authors: | Wang Zhongmin |
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| Abstract: | The governing equation of nonconservative rectangular plate on the elastic foundation consists of a differential integral equation and its boundary condition. According to the characteristics of the equation. generalized variational principles for the guasi-natural freguency of nonconservative rectangular plate on the elastic foundation are established in terns of the deflection w of plate and the reaction p of founadtion. Thus, it will provide the theoritical basic for solving the stability behavior of this type of problem. |
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| Keywords: | plate on the elastic foundation generalized varitional principe nonconservative force |
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