瞬态(计算机编程)
伽辽金法
振幅
数学
瞬态响应
概率密度函数
有界函数
控制理论(社会学)
随机振动
数学分析
应用数学
振动
物理
工程类
控制(管理)
计算机科学
结构工程
有限元法
统计
电气工程
操作系统
人工智能
量子力学
作者
Xiaoling Jin,Y. Wang,Z.L. Huang
标识
DOI:10.1016/j.soildyn.2015.02.015
摘要
The semi-analytical solution of transient responses and the bounded control strategy to minimize the transient responses for seismic-excited hysteretic structures are investigated in this manuscript, the hysteretic behavior is described by Duhem model while the seismic excitations by random processes with Kanai–Tajimi spectrum. The averaged Fokker–Planck–Kolmogorov equation with respect to the probability density of amplitude response is firstly derived by utilizing the stochastic averaging technique based on the generalized harmonic functions. The probability density is approximately expressed as a series expansion in terms of a set of specified basis functions with time-dependent coefficients which are determined through the Galerkin procedure. The quasi-optimal bounded control strategy to minimize the transient response is proposed based on the averaged system with respect to amplitude response and an appropriate performance index. The quasi-optimal control is derived from the minimum condition in the dynamic programming equation. The application and effectiveness of the proposed analytical procedure and control strategy are illustrated through one representative example.
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