Obtaining The Seismic Action Value Of The Approximate Equivalent System Of The Damping Structure With The General Integral Viscoelastic Dampers

Based on the stochastic averaging method,the damping structure with the general integral viscoelastic dampers is changed into the approximate equivalent system in the paper, Its main content is as follows:1. The variable frequency equations of motion of damping structure with the general integral viscoelastic dampers are changed into the differential equations of the second order approximate equivalent system by stochastic averaging method, The equations of the approximate equivalent system are coupled.2. The equations of motion of the general integral damping structure with viscoelastic dampers are changed into the differential equations of the equivalent system by the expansion of order method、modal strain energy method、stochastic averaging method、 the mode decomposition method, and they are decoupled by the complex mode method and Obtain a first-order differential equations, so the analytical solutions of the isplacement response of Random Earthquake can be obtained, lastly, the Comparison and analysis of the accuracy of the structural displacement response on all of the equivalent system through examples, And the conclusions are present in the paper。3. The displacement response of the equivalent constant system of damping structure with the general integral type of viscoelastic dampers based on the stochastic averaging method is represented as a linear combination of the displacement and velocity response of a series of standard vibrator, the analytical expressions of the displacement response between the layers and all types of related coefficient of combination can be obtained, according to The corresponding relation of the maximum of series standard vibrator displacement response variance and seismic response spectrum, according to a new definition of engineering structure seismic action, the Calculation of the Structural seismic action can be abtained, so a set of complete analytical method which is used to obtain the Seismic action value of the approximate equivalent system based on the stochastic averaging method is established。...