Random Wind Vibration Response And Wind Load Effect Of General Integral Damping System

The random wind-induced response of structure with isolation and energy dissipation damper was studied,equivalent wind load and the exact analytical solution of the interlaminar shear force values were studied.First,this paper introduces integral model of linear viscoelastic dampers is the most general of the modeling of the structure,and in the establishment of dynamic equation of motion at the beginning of the original generalized Maxwell model is modified,considering the effect of damper on the set support structure,generalized Maxwell damping and supporting series,get a new damping element,and through simple operation,transform and pull,damping element series after the formation of the revised general integral model.Then,using the damper model,established the time of single degree of freedom viscoelastic damping structure non Extended Order Integro differential equations of motion,then,for the Laplace transform of dynamic equation of motion of the structure,and then using the transfer matrix method of non expansion,the exact solution is obtained directly in the displacement and velocity of structure under arbitrary excitation in the dynamic equation of the original space,and focus on the force of the damper.Through the study of single degree of freedom,it is found that the characteristic value of damper is exactly the same as that of the structure.The validity of the method is verified by a numerical example.Then,based on the multi degree of freedom fixed foundation and isolation structure,a multi degree of freedom energy dissipation structure with the support of general integral viscoelastic damper is established.It is difficult to use the conventional method to decouple the motion equation of the structure because the vibration mode of the structure is not orthogonal.In this paper,by using the transfer matrix method and using Laplace transform,analytic expressions of the structure under arbitrary load,according to the single degree of freedom is derived from the conclusion,research the stress condition of multi degree of freedom damper.Finally,for the Davenport spectrum of random wind vibration response based on the analytical solution of general linear viscoelastic damping structure is obtained,the variance of the structural responses calculated the exact variance decomposition as a linearcombination of displacement and velocity one order and two order standard vibrator,and according to the analysis of two order standard oscillator based on the Davenport spectrum of wind vibration in response to the solution,and the derived first-order standard oscillator Davenport spectrum of wind-induced response based on the solution obtained with supporting Davenport spectrum of wind-induced response solutions based on general linear viscoelastic damping structure.According to the obtained structure in response to the design value of the displacement under the wind load,calculate the equivalent wind power structure under the action of fluctuating wind,and considering the influence of wind on the average structure,get the equivalent static wind acting on the structure,according to the relationship between shear force and displacement,calculate the extreme shear layers.An example is given to verify the correctness of the results.