Stochastic Earthquake Response Of Maxwell Damper Energy Dissipation Structures Based On Extended Order Complex Modal Method

At present,The modal strain energy method and mode decomposition method are the most widely used of a variety of methods for the structural seismic response calculation.For Maxwell viscoelastic dampers energy structure,There are many assumptions and variance errors in the calculation of the variance of response and response of the equivalent system established by the above two methods. As a result, there is a significant research topic to obtain the equivalent system with high precision and easy to used by project planner.Appling extended complex modal method for structures installed in Maxwell damper dissipation structures will be introduced damper constitutive equations to the equations of motion in the structure,and then use the original equation with the damper structure the constitutive equation to establish a state vector of the equation extended processing,the structure of the equations of motion becomes invariant first-order differential equations,and then solved with a single degree of freedom and multi-degree of freedom Maxwell damper seismic energy dissipation exact analytical solutions stochastic seismic response and its structures were stable and non-stationary random earthquake response analyzes.Appling the averaging method to analyze the approximate analytic solution of random earthquake response with Maxwell viscoelastic dampers single degree of freedom and multi-degree of freedom damping structure,Then, based on the average for the random structure of Maxwell damper energy equivalent equivalent strong vibration and vibration analysis.And also for stationary random seismic zone Maxwell damper structure excitation energy structural response analyzes.Single and multi-degree of freedom with Maxwell damper energy dissipation structures,were used and accurate approximation method were compared and analyzed, Approximation including for the stochastic averaging method,modal strain energy method and complex modal law,the precise method is order complex modal expansion,through these four methods,namely the structure of energy consumption Maxwell damper installed conducted random seismic response analysis, and by engineering examples,but also for its smooth white noise excitation earthquake random earthquake response analysis accuracy.