Stationary And Non-stationary Random Seismic Responses Analysis Of Maxwell Damper Energy Consumption Structure

Nowadays,the methods of computing structure seismic response is varied,modal strain energy method and using the first frequency as natural frequency of the fundamental vibration mode decomposition method is the most common method,because using the above two methods to establish the equivalent system for Maxwell viscoelastic dampers energy consumption structure, there are many assumptions of the equivalent system, the error of structural displacement response and the response variance is relatively large.Therefore, the engineering designers is easy to use the equivalent system which is highly accurate, it is a significant research topic.The stochastic averaging method is used to analyze the approximate analytic solution of random earthquake response for Maxwell viscoelastic dampers single degree freedom and multi-degree freedom dampers energy consumption structure.Then, it is based on the stochastic averaging method for Maxwell viscoelastic dampers energy consumption structure, the analysis of equivalent strong vibration and vibration is made, and the stationary random seismic zone Maxwell damper structure excitation energy structural response is analyzed.The extended complex modal method is applied for Maxwell viscoelastic dampers energy consumption structure,the damper constitutive equations is introduced to the motion equations,and the original equation and the damper structure the constitutive equation is used to establish a state vector, the equation is extended processed, the motion equations of the structure is converted to invariant first-order differential equations,and the exact solutions of stochastic seismic response for single degree of freedom and multi-degree of freedom Maxwell damper energy consumption structure is solved, and the structures of stationary and non-stationary random earthquake response is analyzed.For single degree of freedom and multi-degree of freedom Maxwell damper energy consumption structure, the accurate method and approximation method is compared analyzed,the approximation method including the stochastic averaging method and modal strain energy method,the accurate method is extended complex modal method.Through the three methods,the random seismic response analysis of Maxwell damper energy consumption structure is conducted, and by engineering examples, its smooth white noise excitation earthquake random earthquake response accuracy analysis is conducted.