Parametric Instability of a Beam Due to Axial Excitations and to Boundary Conditions-Reference-Cited by-同舟云学术

Parametric Instability of a Beam Due to Axial Excitations and to Boundary Conditions

Published:1998-04-01 Issue:2 Volume:120 Page:461-467
ISSN:1048-9002
Container-title:Journal of Vibration and Acoustics
language:en
Short-container-title:

Author:

Dufour R.¹,Berlioz A.¹

Affiliation:

1. Laboratoire de Me´canique des Structures, ESA CNRS UPR5006, INSA de Lyon, Baˆt, 113, 20, avenue Albert Einstein, 69621 Villeurbanne, France

Abstract

In this paper the stability of the lateral dynamic behavior of a pinned-pinned, clamped-pinned and clamped-clamped beam under axial periodic force or torque is studied. The time-varying parameter equations are derived using the Rayleigh-Ritz method. The stability analysis of the solution is based on Floquet’s theory and investigated in detail. The Rayleigh-Ritz results are compared to those of a finite element modal reduction. It is shown that the lateral instabilities of the beam depend on the forcing frequency, the type of excitation and the boundary conditions. Several experimental tests enable the validation of the numerical results.

Publisher

ASME International

Subject

General Engineering

Link

http://asmedigitalcollection.asme.org/vibrationacoustics/article-pdf/120/2/461/5593197/461_1.pdf

Reference17 articles.

1. Berlioz A. , Der HagopianJ., DufourR., and DraouiE., 1996, “Dynamic Behavior of a Drill-String: Experimental Investigation of Lateral Instabilities,” ASME JOURNAL OF VIBRATION AND ACOUSTICS, Vol. 118, pp. 292–298.

2. Bolotin, V. V., 1964, The Dynamic Stability of Elastic Systems, Holden-Day, Inc.

3. Dunayevski, V. A., and Judnis, A., 1985, “Dynamic Stability of Drillstrings under Fluctuating Weight-On-Bit,” SPE 14329, 60th Annual Technical Conference and Exhibition of the Society of Petroleum, San Francisco.

4. Evan-Iwanowski, R. M., 1976, Resonance Oscillations in Mechanical Systems, Elsevier, New York.

5. Friedmann P. P. , 1990, “Numerical Methods for the Treatment of Periodic Systems with Applications to Structural Dynamics and Helicopter Rotor Dynamics,” Computer & Structures, Vol. 35, No. 4, pp. 329–347.

Cited by 28 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. Detailed Dynamics Modeling Helps to Assess the Effect of Stabilizer Design on Drill String Vibrations;Day 1 Tue, March 07, 2023;2023-03-07

2. Dynamic Behavior of a Brushless in Runner Motor;World Journal of Mechanics;2023

3. Direct FE numerical simulation for dynamic instability of frame structures;International Journal of Mechanical Sciences;2022-12

4. Exploiting Bifurcation Behaviors in Parametrically Excited Mode-Localized Resonators for Mass Sensing;Journal of Applied Mechanics;2022-09-27

5. Application of a Forced Vibration Modeling Approach to Better Quantify the Role of Downhole Vibrations and Excitation Tools;Day 1 Tue, March 08, 2022;2022-03-01