Free Vibration Analysis Of High-Rise Building Structure With Dual Lateral Resistance System

At present,the seismic design of structures mainly includes isolation,damping and other measures,and the study of the dynamic characteristics of building structures is of great significance to the seismic design of structures.Based on Hamiltonian theory and vibration theory,this dissertation presents a method to calculate the dynamic characteristics of high-rise buildings with double lateral load resisting system.The main research contents and conclusions of this dissertation are as follows:(1)Considering the characteristics of high-rise building structures with dual lateral resistance system,two kinds of lateral resistance units are adopted for the building structures,including the effects of bending,shear deformation and moment of inertia of the lateral resistance units on the building structures,a simplified calculation model for cooperative analysis of high-rise building structures with dual lateral resistance system is established.(2)The Lagrange function and The Hamiltonian function for dynamic analysis are derived according to the structural calculation model.Based on the statics basis,this dissertation used the fine integration method to established the finite element model of high-rise building structure with double lateral force resistance system.Combined with the vibration theory,the undamped linear free vibration equation of multiple degrees of freedom is used.A method for calculating the dynamic characteristics of high-rise buildings with double lateral resistance system is developed.The essence of this method is using the precise integration algorithm can get unit(section)of the mixed matrix by introducing the Hamiltonian function,and using finite element method(fem)integrated structure of the whole stiffness matrix,through the establishment of the overall quality of matrix structure,with the aid of MATLAB to solve the eigenvalue function eig sells its characteristic vector,to calculate the natural vibration frequency and shape of the structure.(3)In this dissertation,the high-rise building structure with double lateral force-resisting system is selected,and the frame-shear structure and tube-in-tube structure are taken as examples.The natural frequencies and arrays of frame-shear Wall structure and tube-in-tube structure are calculated and compared with the published literatures and iterative method.The results show that the method presented in this dissertation not only has high accuracy,but also improves the efficiency of solution.The innovation of this dissertation lies in the combination of Hamiltonian theory and vibration theory,and puts forward a calculation method of vibration characteristics of high-rise building with double lateral force resisting system.The structural analysis model based on this dissertation is the multi-lateral force system high-rise building structure collaborative analysis model,this method can also be applied to multi-lateral force system high-rise building dynamic characteristics.In the preliminary design of the structure,if the accurate finite element method is used,it may take a long time and consume a lot of manpower and material resources,the results are accurate and can be applied to the preliminary aseismic design of building structures.