Lyapunov-Based Boundary Control of Strain Gradient Microscale Beams With Exponential Decay Rate

被引：18

作者：

Vatankhah, Ramin ^{[1
]}

Najafi, Ali ^{[2
]}

Salarieh, Hassan ^{[2
]}

Alasty, Aria ^{[2
]}

机构：

[1] Shiraz Univ, Sch Mech Engn, Shiraz, Iran

[2] Sharif Univ Technol, Sch Mech Engn, CEDRA, Tehran, Iran

来源：

JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME | 2015年 / 137卷 / 03期

基金：

美国国家科学基金会;

关键词：

vibration control; nonclassical microbeam; boundary control; exponential stabilization; finite element method; COUPLE STRESS THEORY; VIBRATION CONTROL; CANTILEVER BEAM; MODEL; ELASTICITY; STABILIZATION; PLASTICITY; FEEDBACK; ACTUATOR;

D O I：

10.1115/1.4028964

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

In nonclassical microbeams, the governing partial differential equation (PDE) of the system and corresponding boundary conditions are obtained based on the nonclassical continuum mechanics. In this study, exponential decay rate of a vibrating nonclassical microscale Euler-Bernoulli beam is investigated using a linear boundary control law and by implementing a proper Lyapunov functional. To illustrate the performance of the designed controllers, the closed-loop PDE model of the system is simulated via finite element method (FEM). To this end, new nonclassical beam element stiffness and mass matrices are developed based on the strain gradient theory and verification of this new beam element is accomplished in this work.

引用

页数：12

共 37 条

[21] A microstructure-dependent Timoshenko beam model based on a modified couple stress theory [J].