摘要
The normal dynamic infinite element in elastic foundation cannot be used in time-domain due to it's inclusive frequency term.A novel 3D regular grid infinite element is constructed to deal with the time-domain problem.This new infinite element method can easily transform the frequency terms of mass matrix and stiffness matrix to the terms in higher-order dynamic equation,thus a higher-order dynamic equilibrium equation is formed.Based on the second-order Wilson-θ dynamic equation,a new time-domain numeric formula of higher-order dynamic equation is deduced,and the time-domain calculation coupling with finite element and infinite element can be realized.The classic 3D fluctuation problem in elastic foundation is employed as an illustrative example to investigate the accuracy and validity of this new infinite element.The result indicates that the new dynamic infinite element has a high accuracy.
The normal dynamic infinite element in elastic foundation cannot be used in time-domain due to it’s inclusive frequency term.A novel 3D regular grid infinite element is constructed to deal with the time-domain problem.This new infinite element method can easily transform the frequency terms of mass matrix and stiffness matrix to the terms in higher-order dynamic equation,thus a higher-order dynamic equilibrium equation is formed.Based on the second-order Wilson-θ dynamic equation,a new time-domain numeric formula of higher-order dynamic equation is deduced,and the time-domain calculation coupling with finite element and infinite element can be realized.The classic 3D fluctuation problem in elastic foundation is employed as an illustrative example to investigate the accuracy and validity of this new infinite element.The result indicates that the new dynamic infinite element has a high accuracy.
