基于结构势能原理的动态载荷等效静态转化方法

针对结构动态响应优化过程中动态分析的复杂性和高耗时性，以及直接进行动态优化的不可行性等问题，提出了一种基于结构势能的动态载荷等效静态转化方法。 该方法通过分析结构势能的本构方程，应用动态应力解空间谱元离散的关键点识别方法得到了结构最危险的时刻，然后建立了基于结构势能原理的动态载荷等效静态转化数学模型，应用区域细分算法求解，最终实现了动态载荷等效静态转化，并以10杆桁架结构、124杆桁架结构以及两层桁架结构为例进行验证。 结果表明:文中方法得到的位移比文献方法更接近实际位移的6。74%，4。57%，8。50%，说明了文中方法的可行性和有效性。 

Transformation Method of Equivalent Static Loads from Dynamic Loads Based on Structural Potential Principle

Due to the problem of complexity and high-cost character of dynamic analysis in the processing of structural dynamic optimization, and infeasibility to direct dynamic optimization, a transformation method of equivalent static loads from dynamic loads based on volume potential energy was proposed. Analyzed the constitutive equation of volume potential energy, the most dangerous time points of the structure dynamic response were found by the critical time points identification method for solution space of global dynamic stress based spectral element interpolation. A mathematical model for the transformation method of equivalent static loads was constructed and it was solved by Direct algorithm. Last, 10 bar truss, 124-member plane truss and 1-bay 2-storey frame were taken as examples to verify the feasibility and validity of the proposed method. Results show that the displacement used proposed method is more realistic than the literature displacement of 6.74%, 4.57%, 8.5%, indicating that the proposed method is feasible and effective, and lay a foundation for the structural dynamic response optimization.