Research On The Time-domain Explicit Method In Stochastic Analysis And Parameter Optimization For Passive Energy Dissipation Structure

Since the relevant sections of the passive energy dissipation structure have been added into the country’s architectural design standards in 2001, the passive energy dissipation structure has been widely accepted and applied by engineers due to its good seismic performance. This paper adopts the recent development of this accurate and efficient time-domain explicit method into the restoring force model, which is designed on the basis of spring and clay pot covering different models such as the linear elastic model, the Kelvin model, the Maxwell model, the standard linear solid model and the wiechert model. By using this method, this paper aims to carry out a research on stochastic vibration and parameter optimization analysis under non-stationary random excitation. The following achievements are made in our study:(1). It summarized various restoring force models for vibration dampers, including the metal damper, the friction damper, the viscous damper as well as the viscoelastic damper. It also pointed out the problem of low computational efficiency of the conventional method under non-stationary random excitation, based on a comprehensive review of the present research situation in stochastic analysis and parameter optimization analysis of this widely adopted passive energy dissipation structure of spring and clay pot.(2). It proposed that under non-stationary random excitation the time-domain explicit method for calculating the random dynamic response can be directly applied to the Kelvin dissipation structure through the re-assembly of structural motion equations. As for the maxwell/wiechert/standard linear solid dissipation structure, when the restoring force is regarded as an independent variable both in the structure motion equation and the state space equation, two different stochastic methods have been proposed, one is the time-domain explicit method based on the structure motion equation and the conventional numerical integration method, the other is the time-domain explicit method based on the state space equation and the precise integration method. Furthermore, this paper presented an implementation of the engineering application method on the FEM software, which can take full advantages of the time-domain explicit method and the general FEM platform.(3). By applying the time-domain explicit method into the sensitivity analysis, this paper figured out the sensitivity analysis equation of stochastic response for Kelvin/Maxwell dissipation structure under non-stationary random excitation, and also proposed a parameter optimization model and a complete optimization process.