Direct time-domain integration method for exponentially damped linear systems
Direct time-domain integration method for exponentially damped linear systems
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DOI：
10.1016/j.compstruc.2004.08.004
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发表时间：
2004-11
影响因子：
4.7
通讯作者：
S. Adhikari;N. Wagner
中科院分区：
文献类型：
--
作者：
S. Adhikari;N. Wagner
研究了多自由度线性非粘滞阻尼系统的时域分析。假设非粘性阻尼力依赖于过去的历史速度通过卷积积分指数衰减的核函数。提出了一种直接时域积分法。所提出的方法是基于一个扩展的状态空间表示的运动方程。而状态空间法则是基于引入一组内部变量。用于计算位移的数值方法消除了对速度的显式计算的需要，并且通常在每个时间步长处消除了大量的内部变量。这一事实特别使得该方法在数值上有效。通过两个数值例子说明了所提出的方法。
Time-domain analysis of multiple-degree-of-freedom linear non-viscously damped systems is considered. It is assumed that the non-viscous damping forces depend on the past history of velocities via convolution integrals over exponentially decaying kernel functions. A direct time-domain integration method is proposed. The proposed approach is based on an extended state-space representation of the equations of motion. The state-space method, in turn, is based on introduction of a set of internal variables. The numerical method for the calculation of the displacements eliminates the need for explicit calculation of the velocities and usually large number of internal variables at each time step. This fact particularly makes this method numerically efficient. The proposed method is illustrated by two numerical examples.