Method for solving dynamic equilibrium equations based on displacement excitation

• 作 者: Xu Guolin Zhang Lingxin Bai Yashuang Sun Hao
• 机 构: Institute of Civil Engineering, Southwest Forestry University, Kunming 650224, China“,”Institute of
• 出 处: 地震工程与工程振动（英文版）
• 发表日期: 2020年2期
• 关键词: displacement excitation precise integration structural seismic response

Mode superposition is a widely used method for solving the dynamic equilibrium equation in structural dynamic analysis.However,the accuracy of this method may be reduced when the dynamic equilibrium equations are set up using displacement excitation.A new method for developing solutions for dynamic equilibrium equations based on displacement excitation is introduced.The dynamic equilibrium equation is decomposed into two parts,namely displacement excitation and velocity excitation,and precise integration and mode superposition methods are combined to solve the equation.Ritz vectors are then used to calculate the static response of the tnmcated modes of the structure,and a method for determining the number of participating modes is obtained.Using multi-degree-of-freedom systems as two computational examples,the differences in the structural responses obtained from the displacement excitation and acceleration excitation are compared and analyzed.It is shown that the new solution method generates consistent accuracy between the displacement excitation and acceleration excitation.