An investigation into the passive vibration reduction of the nonlinear spring pendulum system, simulating the ship roll motion is presented. This leads to a four-degree-of-freedom (4-DOF) system subjected to multiparametric excitation forces. The two absorbers in the longitudinal and transverse directions are usually designed to control the vibration near the simultaneous subharmonic and internal resonance where system damage is probable. The theoretical results are obtained by applying the multiple scale perturbation technique (MSPT). The stability of the obtained nonlinear solution is studied and solved numerically. The obtained results from the frequency response curves confirmed the numerical results which were obtained using time history. For validity, the numerical solution is compared with the analytical solution. Effectiveness of the absorbers () are about 13 000 for the first mode () and 10 000 for the second mode (). A threshold value of linear damping coefficient can be used directly for vibration suppression of both vibration modes. Comparison with the available published work is reported.
Skip Nav Destination
e-mail: meissa46@yahoo.com
e-mail: dr_magdi_kamel@yahoo.com
e-mail: ashraftaha211@yahoo.com
Article navigation
January 2012
Research Papers
Vibration Suppression of a Four-Degrees-of-Freedom Nonlinear Spring Pendulum via Longitudinal and Transverse Absorbers
M. Eissa,
M. Eissa
Department of Engineering Mathematics, Faculty of Electronic Engineering Menouf,
e-mail: meissa46@yahoo.com
Menoufia University
, Menouf 32952, Egypt
Search for other works by this author on:
M. Kamel,
M. Kamel
Department of Engineering Mathematics, Faculty of Electronic Engineering Menouf,
e-mail: dr_magdi_kamel@yahoo.com
Menoufia University
, Menouf 32952, Egypt
Search for other works by this author on:
A. T. El-Sayed
A. T. El-Sayed
Department of Basic Sciences,
e-mail: ashraftaha211@yahoo.com
Modern Academy for Engineering and Technology
, Mokatem 11585, Egypt
Search for other works by this author on:
M. Eissa
Department of Engineering Mathematics, Faculty of Electronic Engineering Menouf,
Menoufia University
, Menouf 32952, Egypt
e-mail: meissa46@yahoo.com
M. Kamel
Department of Engineering Mathematics, Faculty of Electronic Engineering Menouf,
Menoufia University
, Menouf 32952, Egypt
e-mail: dr_magdi_kamel@yahoo.com
A. T. El-Sayed
Department of Basic Sciences,
Modern Academy for Engineering and Technology
, Mokatem 11585, Egypt
e-mail: ashraftaha211@yahoo.com
J. Appl. Mech. Jan 2012, 79(1): 011007 (11 pages)
Published Online: December 8, 2011
Article history
Received:
October 27, 2009
Revised:
April 24, 2011
Online:
December 8, 2011
Published:
December 8, 2011
Citation
Eissa, M., Kamel, M., and El-Sayed, A. T. (December 8, 2011). "Vibration Suppression of a Four-Degrees-of-Freedom Nonlinear Spring Pendulum via Longitudinal and Transverse Absorbers." ASME. J. Appl. Mech. January 2012; 79(1): 011007. https://doi.org/10.1115/1.4004551
Download citation file:
Get Email Alerts
Cited By
Sound Mitigation by Metamaterials With Low-Transmission Flat Band
J. Appl. Mech (January 2025)
Deformation-Dependent Effective Vascular Permeability of a Biological Tissue Containing Parallel Microvessels
J. Appl. Mech (January 2025)
Mechanics of a Tunable Bistable Metamaterial With Shape Memory Polymer
J. Appl. Mech (January 2025)
Related Articles
Dynamics of the Head-Neck Complex in Response to the Trunk Horizontal Vibration: Modeling and Identification
J Biomech Eng (August,2003)
Nonlinear Transverse Vibrations and 3:1 Internal Resonances of a Beam With Multiple Supports
J. Vib. Acoust (April,2008)
Frequency Response of a Viscously Damped Flat Plate
J. Appl. Mech (July,2011)
Related Proceedings Papers
Related Chapters
Fundamentals of Structural Dynamics
Flow Induced Vibration of Power and Process Plant Components: A Practical Workbook
Research on Autobody Panels Developmental Technology Based on Reverse Engineering
Proceedings of the 2010 International Conference on Mechanical, Industrial, and Manufacturing Technologies (MIMT 2010)
Smart Semi-Active Control of Floor-Isolated Structures
Intelligent Engineering Systems Through Artificial Neural Networks, Volume 17