Seismic Response Analysis Of Frame - Shear Wall Structure Based On Multi - Body System Transfer Matrix Method

Frame shear wall structure is an important form of high-rise building structure, but the existing high-rise structural seismic response analysis method generally has low computational efficiency. In addition, with the continuous development of structural vibration control technology, the requirements of computational speed is more and more high. Therefore, exploring effective calculation method not only has important theoretical significance but also has important engineering application value.In this paper, based on the transfer matrix method of multibody system, the mechanical model of frame-shear wall structure is established, transfer matrix of the typical elements in the model are derived, and in view of the high-rise frame-shear wall structure overall bifurcate closed mechanical model, by separating the state vector of multiport output of floor rigid body, using the relationship of state vectors of coupling beam ends, the overall transfer between frame and shear wall can be realized, then we can obtain the total transfer equation and total transfer matrix of frame-shear wall structure. The engineering example is a 15 layer frame-shear wall structure, based on the transfer matrix method of multibody system, using the MATLAB language programming to achieve the seismic response analysis under frequently and rarely occurring earthquake, and compare the results to that of finite element software ANSYS, the main results are as the following:(1) The error between the structure first order natural period calculated by the transfer matrix method of multibody system and finite element software ANSYS is 3.72%, while the calculation time of the former method is 1/4 of that of the software ANSYS.(2) The seismic response of the structures under 3 frequently occurring earthquake waves are carried out both using the transfer matrix method of multibody system and the finite element software ANSYS, the average error is 2.89%, the calculation time of the transfer matrix method of multibody system is 1/11 of that of the software ANSYS. The seismic response of the structures under 3 rarely occurring earthquake waves are carried out both using the transfer matrix method of multibody system and the finite element software ANSYS, the average error is 2.75%, the calculation time of the transfer matrix method of multibody system is 1/45 of that of the software ANSYS.(3) According to the maximum displacement for the top of the frame-shear wall structure, it is recommended to take the length-depth ratio of wall limb between 11 and 12 to ensure the ductility of structure; increase the reinforcement ratio of coupling beam end, or increase the rigid area length of coupling beam; take the beam-column linear stiffness ratio of frame higher than 0.4 to ensure the ductility of structure. In the end, the eigenvalue of stiffness of the structure is recommended to be controlled at about 1.5 to 3.5.