Wave-based transfer matrix method for dynamic response of large net structures

Abstract

Wave-based method for dynamic responses of net structures can provide analytic out-of-plane responses in full frequency range, helping to avoid the problem of control spillover, comparing with traditional modal analysis. However, as the scale of the net structure increases, more computing resources are required. Here, a wave-based method inspired by transfer matrix method is proposed for both orthogonal and non-orthogonal symmetric net structures. According to the symmetric characteristics of the net structure, we first divide the whole structure into several periodic elements and calculate the transfer matrix of the periodic element by using the basic wave-based method. Then by multiplying transfer matrixes of the periodic element and using all the boundary condition of net structure, the out-of-plane displacments of the net structure can be finally obtained. Our proposed wave-based transfer matrix method is proved to be more accurate and efficient than the finite element analysis for large net structures.