In this paper, we explore the use of end forces for vibration control in structural elements. The process involves vibration measurement and observer-based estimation of modal amplitudes, which are used to determine when to apply an end load such that it will remove vibration energy from the structure. For this study, we consider transverse vibration of a cantilever beam with a buckling-type end load that can be switched between two values, both of which are below the buckling load. The stability of the control system is proven using Lyapunov stability theory and its effectiveness is demonstrated using simulations and physical experiments. It is shown that the effectiveness of the approach is affected by the bandwidth of the actuator and the attendant characteristics of the filter, the level of the control force, and the level of bias in the end force. The experiments employ a beam fitted with a cable mechanism and motor for applying the end force, and a piezoelectric patch for taking vibration measurements. It is shown that the first two modes of the beam, whose natural frequencies are less than the bandwidth of the motor, are very effectively controlled by the proposed scheme.
Skip Nav Destination
e-mail: mukherji@egr.msu.edu
Article navigation
June 2006
Technical Papers
Active Vibration Control of a Flexible Beam Using a Buckling-Type End Force
Shahin Nudehi,
Shahin Nudehi
Graduate Student
Department of Mechanical Engineering,
Michigan State University
, East Lansing, MI 48824-1226
Search for other works by this author on:
Ranjan Mukherjee,
Ranjan Mukherjee
Associate Professor
Department of Mechanical Engineering,
e-mail: mukherji@egr.msu.edu
Michigan State University
, East Lansing, MI 48824-1226
Search for other works by this author on:
Steven W. Shaw
Steven W. Shaw
Professor
Department of Mechanical Engineering,
Michigan State University
, East Lansing, MI 48824-1226
Search for other works by this author on:
Shahin Nudehi
Graduate Student
Department of Mechanical Engineering,
Michigan State University
, East Lansing, MI 48824-1226
Ranjan Mukherjee
Associate Professor
Department of Mechanical Engineering,
Michigan State University
, East Lansing, MI 48824-1226e-mail: mukherji@egr.msu.edu
Steven W. Shaw
Professor
Department of Mechanical Engineering,
Michigan State University
, East Lansing, MI 48824-1226J. Dyn. Sys., Meas., Control. Jun 2006, 128(2): 278-286 (9 pages)
Published Online: March 25, 2005
Article history
Received:
May 12, 2004
Revised:
March 25, 2005
Citation
Nudehi, S., Mukherjee, R., and Shaw, S. W. (March 25, 2005). "Active Vibration Control of a Flexible Beam Using a Buckling-Type End Force." ASME. J. Dyn. Sys., Meas., Control. June 2006; 128(2): 278–286. https://doi.org/10.1115/1.2192836
Download citation file:
Get Email Alerts
Multi Combustor Turbine Engine Acceleration Process Control Law Design
J. Dyn. Sys., Meas., Control
A Distributed Layered Planning and Control Algorithm for Teams of Quadrupedal Robots: An Obstacle-Aware Nonlinear Model Predictive Control Approach
J. Dyn. Sys., Meas., Control (May 2025)
Active Data-Enabled Robot Learning of Elastic Workpiece Interactions
J. Dyn. Sys., Meas., Control (May 2025)
Innovative Pressure Control With ANFIS-Enhanced Mode Switching for High-Speed Pneumatic Systems
J. Dyn. Sys., Meas., Control (May 2025)
Related Articles
A Switching Scheme for Mixed PZT-Based/Jet Thrusters Control of a Large Flexible Structure
J. Dyn. Sys., Meas., Control (December,2001)
Combined Torsional-Bending-Axial Dynamics of a Twisted Rotating Cantilever Timoshenko Beam With Contact-Impact Loads at the Free End
J. Appl. Mech (May,2007)
Experiments on Active Vibration Control of a Flexible Four-Bar Linkage Mechanism
J. Vib. Acoust (January,2000)
Related Proceedings Papers
Related Chapters
Mechanics of Long Beam Columns
Mechanics of Drillstrings and Marine Risers
Vibration Control of the Turbine Blade Using Quantitative Feedback Theory
International Conference on Mechanical and Electrical Technology, 3rd, (ICMET-China 2011), Volumes 1–3
Use of Continuum Buckling Theory for Evaluation of Buried Plastic Pipe Stability
Buried Plastic Pipe Technology