A two-stage dimension-reduced dynamic reliability evaluation (TD-DRE) method for vibration control structures based on interval collocation and narrow bounds theories

被引：59

作者：

Wang, Lei ^{[1
,2
]}

Liu, Jiaxiang ^{[1
]}

Zhou, Zheng ^{[1
]}

Li, Yunlong ^{[1
]}

机构：

[1] Beihang Univ, Inst Solid Mech, Beijing 100191, Peoples R China

[2] Beihang Univ, Ningbo Inst Technol, Aircraft & Prop Lab, Ningbo 315100, Peoples R China

来源：

ISA TRANSACTIONS | 2023年 / 136卷

基金：

欧盟地平线“2020”;

关键词：

Vibration active control; Two-stage dimension-reduced dynamic; reliability evaluation; Taylor series expansion; The interval collocation method; The narrow bounds theorem; Interval uncertainties; ROBUST-CONTROL; MODEL; SIMULATION; FATIGUE; SYSTEMS;

D O I：

10.1016/j.isatra.2022.10.033

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Due to the uncertainties from modeling, manufacturing, and working environments, many vibration active control systems usually show dynamic uncertain properties. Hence structural reliability esti-mation benchmarking to full-cycle vibratory responses is vitally important. In this study, a novel two-stage dimension-reduced dynamic reliability evaluation (TD-DRE) method for linear quadratic regulator (LQR) controlled structures is developed. This method combines interval uncertainties and the time-variant reliability (TVR) concept. In the first stage, the Taylor series expansion is employed to analyze several typical limit states for definition of the time-discretized dynamic reliability. Then the interval collocation method tackles the solution. In the second stage, the TVR problem is indeed transformed to a time-invariant reliability (TIR) problem. Furthermore, the narrow bounds theorem deduces the presented TD-DRE index. Eventually, two application examples are utilized to verify the effectiveness and accuracy of the proposed method. The proposed TD-DRE is more accurate than the traditional first-order Taylor expansion and more effective than the first-passage reliability evaluation method. This method can provide a reference and an initial value for further design, and improve the efficiency of LQR controller design in practical engineering.(c) 2022 ISA. Published by Elsevier Ltd. All rights reserved.

引用

页码：622 / 639

页数：18