Abstract:

To more accurately estimate the natural frequency of vibration in irregular building structures， a method for estimating the natural frequency of vibration in irregular building structures is studied. This article uses the finite element method to solve the problem of difficulty in accurately estimating the natural frequency of vibration in irregular building structures. This method meticulously divides the building structure into multiple elements and calculates the mass， stiffness， and damping of each element. Then， the mass matrix， stiffness matrix， and damping matrix of these elements are assembled according to the node connection relationship to obtain the global mass matrix， stiffness matrix， and damping matrix of the entire structure. This global matrix effectively describes the mechanical properties of the entire building structure and is used to simulate the dynamic response of the structure under external excitation. Based on the above global matrix， this paper further establishes a dynamic equation to describe structural vibration， thereby achieving the estimation of the natural frequency of irregular building structure vibration. The experimental results show that the maximum error value of the estimated natural frequency using this method is only 0.02 Hz， demonstrating extremely high accuracy.