Axial Force Stabilization of Transverse Vibration in Pinned and Clamped Beams-Reference-Cited by-同舟云学术

Axial Force Stabilization of Transverse Vibration in Pinned and Clamped Beams

Published:1996-06-01 Issue:2 Volume:118 Page:379-380
ISSN:0022-0434
Container-title:Journal of Dynamic Systems, Measurement, and Control
language:en
Short-container-title:

Author:

Rahn C. D.¹,Mote C. D.²

Affiliation:

1. Department of Mechanical Engineering, Clemson University, Clemson

2. Department of Mechanical Engineering, University of California, Berkeley, Berkeley, CA 94720

Abstract

An axial force stabilizes the transverse vibration of a beam with pinned and/or clamped boundary conditions. The nonlinearly coupled, longitudinal and transverse equations of motion of the beam with axial force control are simplified using a quasistatic assumption for longitudinal motion. It is shown that axial damping can ensure weak asymptotic stability of transverse vibration.

Publisher

ASME International

Subject

Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/dynamicsystems/article-pdf/118/2/379/5539809/379_1.pdf

Reference7 articles.

1. Ball J. M. , and SlemrodM., 1979a, “Feedback Stabilization of Distributed Semilinear Control Systems,” Applied Mathematics and Optimization, Vol. 5, pp. 169–179.

2. Ball J. M. , and SlemrodM., 1979b, “Nonharmonic Fourier Series and the Stabilization of Distributed Semi-Linear Control Systems,” Communications on Pure and Applied Mathematics, Vol. 32, pp. 555–587.

3. Habib M. S. , and RadcliffeC. J., 1991, “Active Parametric Damping of Distributed Parameter Beam Transverse Vibration,” ASME JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL, Vol. 113, June, pp. 295–299.

4. Mu¨ller S. , 1989, “Strong Convergence and Arbitrarily Slow Decay of Energy for a Class of Bilinear Control Problems,” Journal of Differential Equations, Vol. 81, pp. 50–67.

5. Rahn C. D. , and MoteC. D., 1994, “Parametric Control of Flexible Systems,” ASME Journal of Vibration and Acoustics, Vol. 116, July, pp. 379–385.

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Variable mass modeling and velocity stability analysis of axially moving tether;Ocean Engineering;2023-11

2. Influence of Transverse Vibration of Axially Moving Electrode Wire on Machining Precision in Wire-Cut EDM;Applied Mechanics and Materials;2011-07

3. Enhanced damping of a cantilever beam by axial parametric excitation;Archive of Applied Mechanics;2008-02-05

4. Analysis and Control of Transverse Vibrations of Axially Moving Strings;Applied Mechanics Reviews;2005-03-01

5. Relevant topics in wire electrical discharge machining control;Journal of Materials Processing Technology;2004-06