【摘要】 从双参数弹性地基薄板自由振动的微分方程式出发,通过建立双参数弹性地基薄板的动态基本解,运用边界元法(boundary element method,BEM)对双参数弹性地基板弯曲自由振动的动态特性进行解析研究,建立相应的边界积分方程式及动柔度方程式,采用频率扫描法求解其固有频率。算例研究表明,文中的方法计算简便、可行,具有良好的计算精度,同时该方法也适用于文克尔地基板动态特性解析。更多还原

【Abstract】 In view of the differential equations for free vibration of plate on two parameter elastic foundation,dynamic fundamental solutions for flexural free vibration of thin plate on two parameter elastic foundation are established.Boundary element method(BEM) is used to analyze the dynamic characteristic of thin plate on two parameter elastic foundation in flexural free vibration.Corresponding boundary integral equations and dynamic flexibility equations are established.The natural frequencies are obtained by using the method of frequency scan.The calculated examples show that the methods suggested are simple,feasible,have good precision and can also be applied to the analysis of Winkler model.更多还原