| Based on the stochastic averaging method,the damping structure with Standard soliddamper is changed into the approximate equivalent system in the paper, Its main content isas follows:1. The variable frequency equations of motion of damping structure with Standard soliddamper is changed into the differential equations of the second order approximateequivalent system by stochastic averaging method, The equations of the approximateequivalent system are coupled.2. The equations of motion of the Standard solid damper structure with viscoelasticdampers are changed into the differential equations of the equivalent system by theexpansion of order method、modal strain energy method、stochastic averagingmethod、the mode decomposition method, and they are decoupled by the complexmode method and Obtain a first-order differential equations, so the analytical solutionsof the isplacement response of Random Earthquake can be obtained, lastly, theComparison and analysis of the accuracy of the structural displacement response on allof the equivalent system through examples, And the conclusions are present in thepaper。3. The displacement response of the equivalent constant system of damping structurewith the standard solid damper based on the stochastic averaging method isrepresented as a linear combination of the displacement and velocity response of aseries of standard vibrator, the analytical expressions of the displacement responsebetween the layers and all types of related coefficient of combination can be obtained,according to The corresponding relation of the maximum of series standard vibratordisplacement response variance and seismic response spectrum, according to a newdefinition of engineering structure seismic action, the Calculation of the Structuralseismic action can be abtained, so a set of complete analytical method which is usedto obtain the Seismic action value of the approximate equivalent system based on thestochastic averaging method is established。... |
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