Numerical Analysis Of Random Seismic Response Of Maxwell Damping Energy Dissipation Structure

In order to establish the seismic analysis and numerical solution of the energy dissipation structure with Maxwell damper based on response spectrum,the non-stationary random transient response of the energy-damping structural system and the response of the Maxwell damper under arbitrary random excitation are analyzed in detail.1.Firstly,several commonly used viscoelastic damper models are introduced.Secondly,The transient response of Maxwell damper multi-layer energy absorbing structure with each layer is analyzed by reduced-order complex mode method,and obtained the displacement,velocity and damping Force response expression.2.In the linear dynamic system,the energy input and output are linear.Based on this linear relationship,the time-domain solution of the random vibration of the structure under non-stationary random excitation is solved.Firstly,the structural dynamic equation of Maxwell damper is written into the equation of state,and the non-stationary random excitation vector is discretized into a series of random vectors with time nodes.Secondly,the rewritten state equation is used by explicit time-integration method.By performing a numerical solution,an explicit expression of the arbitrary discrete-time structural response to the random vector of the time interval can be established.3.The virtual excitation method used in this paper is an exact algorithm,which can be directly modally superimposed,thus fundamentally solving the error problem caused by the approximate neglect in the calculation process.Firstly,the structural dynamics equation of the Maxwell damper is written into the equation of state.Secondly,the rewritten state equation is numerically solved by the precise integration method,and the analytic formula of the response variance under the excitation of the stationary and non-stationary seismic models is further obtained.4.It mainly introduces the basic principles of Monte Carlo method,the simulation steps and the advantages and disadvantages of using Monte Carlo method for analysis in actual engineering analysis.According to the principle of simulating stationary Gaussian process and non-stationary Gaussian process excitation,based on the generation of a large number of random numbers satisfying statistical characteristics,the constraints are used to filter the random numbers,and the time-history integration results under each random number(The corresponding response value is statistically calculated,and the response value under each random number is calculated;and the response characteristics of the structural system are determined according to a large number of response values.