NON-LINEAR RANDOM RESPONSE ANALYSIS OF EARTHQUAKE-EXCITED STRUCTURES
The recently developed probability density evolution method (PDEM) is introduced to study non-linear random response of earthquake-excited structures. In the method, a completely uncoupled one-dimensional governing partial differential equation is derived first with regard to evolutionary probability density function of the stochastic response of non-linear structures. Utilizing the orthogonal expansion method, the stochastic process for earthquake ground motion is carried out based on the Hartley orthogonal expansion bases. In order to capture the main probabilistic characteristics of seismic ground motion, we carry out the orthogonal expansion directly on the seismic displacement process. Further by using the principle of energy equivalence, the expanding expressions of seismic acceleration process is achieved with 10 random variables. Therefore, it is natural to combine the PDEM and the orthogonal expansion model of ground motion to study the non- linear random earthquake response. An example, of which deals with a non-linear frame structure subjected to ground motions, is illustrated to validate the above approach.
Probability density evolution method earthquake ground motion stochastic processes orthogonal expansion method random response analysis non-linear structures
Z. J. Liu J. Li
College of Civil and Hydroelectric Engineering, China Three Gorges University, Yichang, China School School of Civil Engineering, Tongji University, Shanghai, China
国际会议
上海
英文
205-212
2007-11-28（万方平台首次上网日期，不代表论文的发表时间）