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

Shear wall structure is commonly used in high-rise buildings, thus, to establish reasonable seismic action model for this structure and adopt the efficient calculation method for dynamic analysis is an important direction for seismic research. In addition, with the continuous development of structural vibration control, traditional calculation methods cannot satisfy the requirement of vibration control because of its low computational efficiency, therefore, exploring the 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, transfer matrix of the typical elements in shear wall structure are derived, and in view of the high-rise shear wall structure overall bifurcate closed mechanical model, the general form of total transfer equation and transfer matrix of the overall structure are derived by separating the state vector of multiport input or output and overall transferring the state vectors of coupling beam ends. The engineering example is a 15 layer shear wall structure, using the MATLAB language programming to achieve the transfer matrix method of multibody system for the dynamic response analysis, the main results are as the following:(1) The natural periods are calculated both by the transfer matrix method of multibody system and finite element software ANSYS, the error is 6.29%, while the calculation time of the former method is 1/28 of that of the software ANSYS.(2) The seismic response of the structures subjected to 3 frequently occurring earthquake waves are carried out both using the transfer matrix method of multibody system and the finite element software ANSYS, the results are as following:the error for the maximum average displacement of the top is 8.60%; the error for the maximum average elastic story drift angle is 2.88%; the error for the maximum average shear force at the bottom of the wall limb a is 8.51%, the error for the maximum average shear force at the bottom of the wall limb b is 8.64%, the error for the maximum average shear force at the bottom of the wall limb c is 7.93%. The calculation time of the transfer matrix method of multibody system is 1/11 of that of the software ANSYS.(3) The seismic response of the structures subjected to 3 rarely occurring earthquake waves are carried out both using the transfer matrix method of multibody system and the finite element software ANSYS, the results are as following:the error for the maximum average displacement of the top is 3.21%; the error for the maximum average elastic-plastic story drift angle is 14.86%; the error for the maximum average shear force at the bottom of the wall limb a is 2.80%, the error for the maximum average shear force at the bottom of the wall limb b is 4.06%,the error for the maximum average shear force at the bottom of the wall limb c is 2.21%. The calculation time of the transfer matrix method of multibody system is 1/56 of that of the software ANSYS.(4) According to the seismic response analysis results of coupling beam k and l, it is recommended to take the span-depth ratio of coupling beam higher than 3.5 to ensure good ductility of structure; taking into account of economic factors, it is recommended to take the width of coupling beam lower than 0.4m. Under the action of EI-centro wave, the ductility of structure is better when the length-depth ratio of wall limb is about 7.0; under the action of Nanjing and Taft waves, the ductility of structure is better when the length-depth ratio of wall limb is about 6.0. Therefore, in shear wall structure arrangement of practical engineering, the proposal length-depth ratio is recommended to be controlled at about 6.0 to 7.0.