New improved series expansion for solving the moving oscillator problem
New improved series expansion for solving the moving oscillator problem
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DOI：
10.1016/j.jsv.2004.01.018
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发表时间：
2005-03
影响因子：
4.7
通讯作者：
B. Biondi;G. Muscolino
中科院分区：
文献类型：
--
作者：
B. Biondi;G. Muscolino
本文提出了一种计算运动振子作用下弹性梁的动应力响应的新方法。所提出的方法提高了传统的梁响应的本征函数级数展开的收敛性和准确性，同时考虑到由于移动振子的重力，惯性和阻尼效应。传统的解决方案的改进是通过扩展到连续系统的动力校正方法，最初提出的离散结构。所提出的方法是能够占截断高阶本征函数通过添加一个伪静态项到传统的级数展开。数值结果表明，该方法能够准确地确定弯矩和剪力分布的不连续性和跳跃。
A new method able to evaluate the dynamic stress response of an elastic beam subject to moving oscillators is presented. The proposed procedure improves the convergence and accuracy of the conventional eigenfunction series expansion of beam response taking into account the gravitational, inertial and damping effects due to the moving oscillators. The improvement of the conventional solution is obtained by means of an extension to continuous systems of the dynamic correction method, originally proposed for discretized structures. The proposed method is able to account for the truncated higher order eigenfunctions by adding a pseudo-static term to the conventional series expansion. Numerical results are presented to demonstrate the capability of the method to accurately determine the discontinuity and jump in bending moment and shear force distributions, respectively.