Concise closed-form solutions of random wind-induced vibration response of building structure based on Baskin wind speed spectrum
Received:August 12, 2020  Revised:January 03, 2021
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DOI:10.7511/jslx20200812001
KeyWord:Baskin wind spectrum  quadratic orthogonal expressions of the power spectrum density function  spectral moments  variance  concise closed-form solution
           
AuthorInstitution
李暾 广西科技大学 土木建筑工程学院, 柳州
张梦丹 广西科技大学 土木建筑工程学院, 柳州
姜琰 广西科技大学 土木建筑工程学院, 柳州
葛新广 广西科技大学 土木建筑工程学院, 柳州 ;上海交通大学 船舶海洋与建筑工程学院, 上海
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Abstract:
      In order to solve the problem that the expression of the along-wind vibration response of a building structure excited by Baskin wind speed spectrum is complex,a concise closed-form solution is proposed.Baskin spectrum is widely used to describe various random excitations such as fluctuating wind,random ground motion and road surface irregularity.Based on the residue theorem,the quadratic orthogonal formula of Baskin wind spectrum is given.By using the complex mode method and the pseudo excitation method,the unified quadratic orthogonal expressions of the power spectrum density function of the series response (absolute displacement,inter-story displacement and their change rates) of the building structure is obtained.According to the definition of the spectral moment,the concise closed-form solutions of the variance and spectral moments of the series response and the acceleration variance of the structural floor are obtained.This method is used to analyze an 8-storey building structure and is compared with the traditional pseudo excitation method.The results show that the closed-form solutions obtained in this paper is correct and can be used to verify the accuracy and efficiency of the pseudo excitation method in spectral moment and variance analysis.Since the complex modal method is included in this method,it can be used for stochastic response analysis based on Baskin spectrum and dynamic optimization analysis based on dynamic reliability and comfort of various linear structures.