Analytical solution for internal force and displacement of three-limb shear #br#
wall under horizontal load
Zhu Yanpeng1,2 Yan Zihao1,2 Yang Xiaohui1,2
1. School of Civil Engineering, Lanzhou University of Technology, Lanzhou 730050, China;
2. Western Engineering Research Center of Disaster Mitigation in Civil Engineering of the Ministry of Education,
Lanzhou University of Technology, Lanzhou 730050, China
Abstract：Multi-limb shear walls and the relevant composite structures are essential components of high-rise structures in modern designs. However, it is inaccurate to demonstrate the core method that calculating the internal force of multi-limb walls in codes, specifications, and textbooks of civil engineering, in which the superposition distribution method is adopted to solve the differential equations for the restrained moment of coupling beams. In this paper, a new method is proposed to solve the inertial forces and displacements of three limb shear walls under three types of horizontal loads, and the analytical equations are given. The method solves the restrained bending moment of coupling beams by transforming the two second-order differential equations into the four first-order differential equations. Then the fundamental solution matrix is obtained for the coefficient matrix of differential equations. By comparing the internal force calculated by these two methods with those from Midas, it is found that the results from the traditional method are 10% less than those from the FE method and the new method. Besides, the new method improves the traditional way by avoiding the concept of distribution factor, the stiffness and the relevant position of coupling beams, and the integrity of the shear wall, etc. The proposed new method can provide reference for the expression of internal forces and displacements in composite structures of shear wall and frame.
朱彦鹏 严紫豪 杨校辉. 三肢剪力墙在水平荷载作用下内力位移解析解法[J]. 土木工程学报, 2019, 52(10): 56-66, 82.
Zhu Yanpeng Yan Zihao Yang Xiaohui. Analytical solution for internal force and displacement of three-limb shear #br#
wall under horizontal load. 土木工程学报, 2019, 52(10): 56-66, 82.
