结构动力学方程的显式与隐式数值计算

从理论上详细推导了动力学方程的显式隐式时间积分数值计算方法，针对经典中心差分格式在求解阻尼结构计算效率降低的问题，研究提出了一种新的显式积分格式，理论证明该数值积分格式能够处理各种复杂阻尼状态而不降低计算效率。对于不同的时间步长通过设定调节加速度参数，能得到比经典显式计算格式和NEWMARK逐步时间积分更高的精度，最后通过数值算例对三种计算格式的理论分析进行了验证。

Structural Dynamics Equations of the Explicit and Implicit Algorithm

Derived from the theory of dynamic equations explicit and implicit time integration format, For the classical central difference scheme for solving the Rayleigh β with damping structure to reduce the problem of computational efficiency, Research on a new points format for the explicit, Theory of numerical integration that the format can handle all kinds of complicated calculation of damping without reducing the efficiency of state. Through setting the adjustment parameters for different time step acceleration can be calculated than the classic explicit form and NEWMARK time integration gradually higher accuracy. Finally through the numerical example the calculation of the three formats to verify the theoretical analysis.