Analytical Solution of Stiffness-Matrix for Curved Girder Elements Based on Theory of Matrix Inversion

In this paper,collocation method of matrix inversion is proposed based on its theory.Because each element in flexibility matrix is very complex,it is difficult to solve inverse flexibility matrix directly for getting stiffness matrix of curved girder elements by the spring-center method.Numerical method is used to solve inverse flexibility matrix of curved girder elements in related documents usually.The analytical solution of the stiffness matrix is gotten through the method of matrix inversion by collocation method according to particularity of flexibility matrix.From this,the program of analyzing curved-beam is simplified greatly.At the same time,the working time and storage of computer is saved,and the accuracy of the result is guaranteed.