Breadcrumb

 
 

Optimal vibration control of beams with total and partial MR-fluid treatments

Title:

Optimal vibration control of beams with total and partial MR-fluid treatments

Rajamohan, Vasudevan and Sedaghati, Ramin and Rakheja, Subhash (2011) Optimal vibration control of beams with total and partial MR-fluid treatments. Smart Materials and Structures, 20 (11). p. 115016. ISSN 0964-1726

[img]
Preview
PDF - Accepted Version
912Kb

Official URL: http://dx.doi.org/10.1088/0964-1726/20/11/115016

Abstract

This paper presents the synthesis of full state and limited state flexible mode shape (FMS) based controllers for the suppression of transient and forced vibration of a cantilever beam with full and partial magnetorheological (MR) fluid treatments. The governing equations of motion of the three layer MR sandwich beam are expressed in the state variable form comprising a function of the control magnetic field. An optimal control strategy based on the linear quadratic regulator (LQR) and a full state dynamic observer is formulated to suppress the vibration of the beam under limited magnetic field intensity. The lower flexural mode shapes of the passive beam are used to obtain estimates of the deflection states so as to formulate a limited state LQR control synthesis. The transient and forced vibration control performances of both the full state observer-based and the limited state FMS-based LQR control strategies are evaluated for the fully as well as partially treated MR-fluid sandwich beams. The results show that the full state observer-based LQR control can substantially reduce the tip deflection responses and the settling time of free vibration oscillations. The limited state LQR control based on the mode shapes effectively adapts to the deflections of the closed loop beam and thus yields vibration attenuation performance comparable to that of the full state LQR controller. The partially treated beam with MR-fluid concentration near the free end also yields vibration responses comparable to the fully treated beam, while the natural frequencies of the partially treated beams are considerably higher.

Divisions:Concordia University > Faculty of Engineering and Computer Science > Mechanical and Industrial Engineering
Item Type:Article
Refereed:Yes
Authors:Rajamohan, Vasudevan and Sedaghati, Ramin and Rakheja, Subhash
Journal or Publication:Smart Materials and Structures
Date:2011
ID Code:36225
Deposited By:ANDREA MURRAY
Deposited On:20 Dec 2011 14:35
Last Modified:20 Dec 2011 14:35
All items in Spectrum are protected by copyright, with all rights reserved. The use of items is governed by Spectrum's terms of access.

Repository Staff Only: item control page

Document Downloads

More statistics for this item...

Concordia University - Footer