动力子结构试验的算子分解法

OPERATOR-SPLITTING METHOD FOR DYNAMIC SUBSTRUCTURE TESTING

该文在标准算子分解法(OS法)的基础上提出加速度附加假定,使其变为考虑试件质量的动力子结构试验OS法。分析了动力子结构试验OS法的稳定性,并进行了数值仿真分析。研究结果表明:1)通过引入加速度附加假定,使动力子结构试验OS法变为一种显式方法;2)动力子结构试验OS法的稳定性分析结果表明,对于纯质量试件,当质量比不大于1时为条件稳定算法,对于质量比大于1时为不稳定算法。

This paper proposes the Operator-splitting （OS） method for dynamic substructure testing, and investigates the stability and effectiveness of the method. The main conclusions are as follows. 1） This paper proposes a target acceleration formulation so as to render the OS method an explicit formula for dynamic substructure testing. 2） It is shown from spectra analyses and numerical simulations that for the case of inertial specimen, this method is conditionally stable as long as the mass ratio of the experimental substructure to the numerical substructure is less than or equal to 1, while it is a unstable method if the ratio is large than 1.