Subjects: Mechanics >> Applied Mechanics submitted time 2023-03-20 Cooperative journals: 《应用力学学报》
Abstract： In order to resolve the tedious problem of convolutional-differential hybrid equation solutionbased on Kanai-Tajimi spectrm of non-viscous damping structures ,a new concise closed solution methodis proposed. The non-viscous damping model usually expressed in the convolution form of an exponentialkernel function can well simulate the damping characteristics of practical engineering materials , while thecorresponding differential constitutive relationship of the damper is given in this paper. The randomground motion characteristics of the site can be better described by Kanai-Tajimi spectrum random groundmotion model , from which the structural ground motion response expression obtained in its engineering application is complex , but it can be expressed as a random process of white noise excitation by filtering e-quation.Using the differential constitutive relationship of the non-viscous damping structures and the filte-ring equation of Kanai-Tajimi spectrum, the complex ground motion excitation convolution-differential dy-namic equation is converted into a fully differential dynamic equation system excited by white noise , andthen the complex modal method and the concise characteristics of the white noise excitation are used to ob-tain the variance of the structural displacement and the concise closed solution of 0-2 order spectral mo-ment. Finally ,the dynamic reliability of the structure is analyzed based on the first exceedance failure cri-terion and Markov distribution assumptions. A comparative analysis of the method in this paper and thevirtual excitation method for a calculation example shows that the closed solution proposed in this paper iscorrect and efficient , and can be used as a verification method for the accuracy of the virtual excitationmethod.
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