自由振动矩形薄板动力响应的DQ空-时半解析法

DQ semi-analytic method of dynamic response on thin rectangular plate

对矩形薄板自由振动的动力响应问题提出了DQ半解析法,该方法针对矩形薄板的线性振动控制微分方程,在空间域采用DQ法(differential quadrature method,DQ),在时间域取级数,采用时域配点的方法,得到求解以板各节点动力响应位移场为全部待定参数的线性方程组,只需一次求解该方程组即可得到各节点的动力响应位移场,再由高阶Lagrange插值得到全域内的动力响应位移场.结果表明,该方法具有很好的精度和计算效率.

Presents a method aiming at the dynamic response of rectangular plate when it is vibrating freedly,which is called differential quadrature(DQ) semi-analytic method.It adopts differential quadrature method in space domain and series in time domain on the basis of controlling partial differential equation,and gets DQ linear equations for solving all parameters of the displacement-field by adding time-points.