基于非线性随机最优控制的大跨度斜拉桥地震响应Benchmark问题研究  

Benchmark-problem investigation for seismic response of a large-span cable-stayed bridge based on nonlinear stochastic optimal control

作　　者：余友熙[1,2] 刘中华[2] 余香林[3,4] 王守强[3] 

机构地区：[1]悉地国际设计顾问(深圳)有限公司,深圳518057 [2]厦门大学建筑与土木工程学院,厦门361005 [3]同济大学土木工程学院,上海200092 [4]华盛顿大学土木与环境工程系,西雅图98195

出　　处：《振动与冲击》2016年第8期41-47,共7页Journal of Vibration and Shock

基　　金：福建省青年人才项目(2008F3100)

摘　　要：大跨度斜拉桥Benchmark问题的振动控制研究是当前国际结构控制研讨会的重要议题之一。以美国Bill Emerson Memorial斜拉桥第二阶段Benchmark模型为研究对象,在非线性随机动力学与控制的拟哈密顿理论体系框架下,运用基于随机平均法和随机动态规划原理的非线性随机最优(NSO)控制策略,对地震作用下的Benchmark模型进行MATLAB仿真分析。将最优控制力和性能评价指标与线性二次型Gauss(LQG)控制的计算结果进行对比,得出非线性随机最优控制策略能够更加有效地抑制斜拉桥的地震响应,提高结构的动力稳定性和抗震能力,具有更好的控制效果,对实际桥梁工程的振动控制具有较强的指导意义和适用价值。Investigation of vibration control for benchmark problems on large-span, cable-stayed bridge is one of the most important research topics in the current International Symposium on Structural Control. This paper studied second- stage benchmark problems on the Bill Emerson Memorial cable-stayed bridge. In terms of Hamihonian theory for nonlinear stochastic dynamics and control, the benchmark model under seismic excitations was investigated using MATLAB simulation analysis, based on the stochastic averaging method and stochastic dynamic-programming principle. Comparison of analysis results for optimal forces and performance-evaluation indices between the nonlinear stochastic optimal （NSO） control strategy and the linear quadratic Gaussian （LQG） control strategy revealed that the former control strategy mitigates the seismic response of the cable-stayed bridge more effectively than the latter, thereby enhancing structural dynamic stability and earthquake resistance. In conclusion, the NSO control strategy demonstrates better control effect and presents instructive references and oractical significance for vibration control of bridge-engineering applications.

关 键 词：非线性随机最优控制 地震响应 斜拉桥 BENCHMARK模型 LQG控制 

分 类 号：O328[理学—一般力学与力学基础] U448.27[理学—力学]