P-delta effect analysis of continuous distribution system based on generalized differential quadrature method

Abstract

Abstract Based on the generalized differential quadrature method, an analysis method of p-delta effect for continuous distribution system is proposed. Firstly, the structural system with continuous distribution of mass and stiffness is taken as the research object. Based on the principle of virtual work, the axial and transverse vibration equations considering the effect are given. Secondly, the partial differential equations are discretized by using the generalized differential quadrature method, and the dynamic ordinary differential equations are obtained to analyze the p-delta effect of the continuous distribution system. Finally, an example based on 5MW wind turbine parameters is analyzed, and the results show that the GDQM has high calculation accuracy, which can be obtained by dividing only a few nodes; This method can not only consider the second-order effect of gravity, but also consider the time-varying p-delta effect caused by vertical earthquake, and can reveal the influence of vertical earthquake on the lateral dynamic characteristics of structures in real time; No matter the gravity second-order effect or the time-varying p-delta effect, this method does not need iteration and has high computational efficiency.