【摘要】 对具有初速的有限长弹性杆与初始静止的有限大 Winkler地基上地基板的横向冲击问题进行了研究。应用弹性杆的一维波动特征的线性理论 ,建立了冲击力与地基的速度变化及杆的初速度之间的关系 ;采用伽辽金原理对基本方程进行了处理 ,得到了求解冲击力的微分方程 ;再利用 L aplace变换得到了 L aplace空间中的解 ,逆变换后 ,求出了有限长弹性杆与有限大 Winkler地基上的地基板的冲击力和位移的计算公式。该公式满足弹性冲击杆的波动方程和 Winkler地基板的运动方程 ,充分反映了实际工程状态 ,为工程计算提供了理论依据。更多还原

【Abstract】 The lateral impact of elastic rods with limited length and elastic plates with initial velocity and limited size on Winkler foundation is considered Utilizing linear theory of one dimensional wave feature of elastic rods,an interrelation is found for the impact force and the velocity of plates as well as initial velocity of rods The Galerkin’s principle is used to gain the differential equations of solving the impact force Differential equations are solved through Laplace transformation and a solution in Laplace’s place is obtained A formula is established for calculating the impact force and displacement of elastic rods and plate on the limited Winkler foundation The formula satisfying the rod wave equation and the plate movement equation is practical for engineering design更多还原