Study On The Decouping In Real Space And The Equvalent Static Wind Load Values Of Wind Vibration Contral Of Tall Building And High-rise Structure

A systematic study is made on the real-space decoupling of non classical dampingstructural response of the translational and torsional model of wind vibration control structureof high-rise structures.First, by means of the complex modal method, wind vibration controlstructure are precise decoupled by the motion equations of asymmetric quality modes andnon-classical damping of the first mode of vibration; then by constructing the transformationrelationship between the amount of real response and the amount of the complex response aswell as the use of the Laplace transformation, the structural displacement and velocityresponse are analyzed as a linear combination of displacement and velocity response of aseries of standard oscillators with clear physical and engineering significances.Consideringthe correlation of series standard oscillator, variance of the structural displacement randomresponse is analyzed and resolved into linear combination of displacement and velocityrandom response variance of a series of standard oscillators;Finaly,by using of thecorresponding relationship of the maximum response of a series of standard oscillators as wellas the extreme response method,based on the the maximal displacementresponse,comprehensive analytical method about maximal displacement response and theequivalent static wind load values of the real-space decoupling of wind vibration controlstructure based on the current specification Davenport spectrum is established,and anumerical example is given to verify the correctness of the proposed method,so as to establishthe complete analytical method for real space decoupling of such wind vibration controlstructure response and the value of earthquake action based on the response spectrum.The approximate real modal decoupling method which is closer to engineering practiceis introduced into the analysis of wind vibration control structure, wind vibration controlstructure of high-rise structures are precise decoupled by the motion equations of nonclassical damping,the structural displacement response are approximatively analyzed as alinear combination of displacement and velocity response of a series of standard oscillatorswith clear physical and engineering significances;then by using of random vibrationtheory,the variance of the structural displacement random response is analyzed and resolvedinto linear combination of displacement and velocity random response variance of a series ofstandard oscillators;Finaly,by using of the correspondence between the maximum response ofa series of standard oscillators and the response spectrum,approximate real modal analyticalmethod about maximal displacement response and the equivalent static wind load values ofwind vibration control structure based on the current specification Davenport spectrum isestablished.The method, with a clear physical meaning,is easy to grasp,has a higher solutionprecision,and is suitable for engineering applications.