Stochastic Earthquake Response Analysis Of The Damper Energy Dissipation Structures

In order to study the viscoelastic energy dissipation random response analysis of structures under earthquake excitation this paper adopts the general integral constitutive model of viscoelastic material and also adopts integral differential hybrid unsteady equations of motion to model a general viscoelastic damping structure accurately.1. The most general and the use of integral type generalized Maxwell model for simulation of viscoelastic damper, this paper expounds the characteristics and advantages of integral type generalized Maxwell model.2. Using a precise method, the transfer matrix method of decoupling type integral differential equation of motion; Based on the Laplace transform, this paper adopts transfer matrix method to achieve accurate decomposition of dissipative structure equation of motion in the non-expanding order space, and attributes the complex solution problem of unsteady structure transient response to the analysis of the structure eigenvalue and eigenvector, thus the analytical expressions of the transient response of displacement and the transient response of speed under a non-zero initial structure conditions are obtained.3. The traditional expanded-order complex modal method for energy dissipation structure with general Maxwell viscoelastic damper is improved in this paper, and the reduced-order complex modal method is presented. Relationship between the primitive equation eigenvalues including eigenvectors and the expanded-order motion equation around complex model vector is also established. This method simplifies the calculation process, giving the modal vectors a clear physical meaning.4. Based on the energy dissipation structure with general Maxwell viscoelastic dampers,analytic expression of the structural transient responses is obtained which is entirely consistent with the transfer matrix method, verifying the correctness and applicability of the transfer matrix method. And the analytical formula of damper transient response is obtained.5. In order to study the random response of energy structure, this paper derives thestructure's analytical expressions of random response variance under stationary and non-stationary seismic model activities based on energy dissipation structure with general Maxwell viscoelastic dampers.