【摘要】 研究了 Winkler基础上弹性板大挠度振动的基本理论与计算方法。给出了 Winkler基础弹性板几何非线性大挠度振动的微分方程 ,并采用分离变量方法和布勃诺夫迦辽金方法对基本方程求解问题进行了分析 ,给出了求解该问题的一般求解方法。最后 ,以 Winkler地基上四边简支矩形板为例求出了固有频率和相应的位移计算表达式。更多还原

【Abstract】 Basic principle and computation of non linear vibration for the rectangle plates on Winkler foundation are discussed The fundamental differential equations of non linear vibration for the elastic plates on the Winkler foundation are given The separated variable method and the Попнов Галёркин method is used to solve the fundamental differential equations,thus a general calculation method is formed For example,the rectangle plates with simple supports along their edges on Winkler foundation are analyzed,and their inherent frequency and vibrated displacement are determined.更多还原