A Complex Mode Method for Wind-Induced Responses of 6-Parameter Practical Viscoelastic Damping Energy Dissipation Structures Based on the Davenport Wind Speed Spectrum

Abstract

Based on Davenport wind speed spectrum series, the response of six-parameter practical viscoelastic damping energy dissipation structure is studied systematically. Firstly, the differential constitutive relation of six-parameter viscoelastic damper is used to establish the equation of motion of energy dissipation structure under Davenport wind spectrum excitation. Then, the equation of motion of energy dissipation structure is transformed from the second-order differential equation to the first-order equation of motion by using complex mode method, and the frequency-domain solution and power spectral density function expression of energy dissipation structure system under wind excitation are obtained, Finally, based on the random vibration theory, the analytical solutions of the response of the energy dissipating structure system under Davenport wind spectrum excitation and the force response of the damper are obtained by using the mathematical identity. This method not only considers the results of the whole array expansion of the structure system under wind vibration excitation, but also has more simple and efficient expressions than those obtained by existing methods.