【摘要】 本文首先给出有阻尼线弹性动力学的一类变量广义Ｈａｍｉｌｔｏｎ型拟变分原理，它能反映动力学初值一边值问题的全部特征。然后，以这类Ｈａｍｉｌｔｏｎ型拟变分原理为基础，提出一种时间子域以五次Ｂ样条函数插值的时间子域法。算例表明，这种动力响应分析新方法的精度和计算效率都明显高于国际上常用的Ｗｉｌｓｏｎ－法和Ｎｅｗｍａｒｋ－β法。更多还原

【Abstract】 Firstly, a one-field generalized Hamilton-type quasi-variational principle for linear elastodynamics with damping is proposed in this paper. This principle can fully characterize the initial-boundary value problem of elastodynamics. Based on this Hamilton-type quasi-variational principle, a time-subdomain method is presented by applying the fifth-order B-spline function as interpolation to the time subdomair Numerical results prove that the accuracy and the computational efficiency of the new method for dynamical response analysis excel obviously those of widely used Wilson- method and Newmark-β method.更多还原