For Libraries For Publication Open Access Downloads About Us Contact Us
Paper Titles
Research on Accessibility of Integral Sliding Mode Contorl of Missile System
p.212
Stabilization of Chaotic System with Uncertain Parameters
p.217
Research on the Tracking Problem of Chaotic Systems with Static Uncertain Function and Unknown Parameters
p.220
Zinc-Doping in TiO2 Films to Enhance Photovoltaic Performance of Dye-Sensitized Solar Cells
p.224
Symmetry Breaking and Symmetry Increasing in a Vibro-Impact with Symmetric Two-Sided Constraints
p.229
On-Machine Measurement of Metal Parts Based on Machine Vision
p.235
Mechanical Behavior of the Amorphous/Nanocrystal Ni-Mo23.56 Alloy Coatings by Electrodeposition
p.240
Combined Shock Response Spectrum of Cubic Nonlinear Stacking Packaging System
p.245
The Research on Assembly Angle Measurement of Cylinder Rod Located at ICF Target
p.250

Symmetry Breaking and Symmetry Increasing in a Vibro-Impact with Symmetric Two-Sided Constraints

Article Preview

Abstract:

A three-degree-of-freedom vibro-impact system with symmetric two-sided constraints is considered. Existence conditions of the symmetric period -2 motion are given, and the symmetric period n-2 motion of the system is deduced analytically. The six dimensional Poincaré map is established, and the Jacobi matrix of the symmetrixc fixed point is obtained. By the numerical simulations, we show that symmetry breaking and symmetry increasing exists in the vibro-impact system with symmetric two-sided constraints.

You might also be interested in these eBooks
Mechanical, Materials and Manufacturing Engineering View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volumes 66-68)

Pages:

229-234

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.66-68.229

Citation:

Cite this paper

Online since:

July 2011

Authors:

Yuan Yue, Jian Huab Xie

Keywords:

3DOF Vibro-Impact System, Poincaré Map, Symmetric Fixed Point, Symmetry Breaking, Symmetry Increasing

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

© 2011 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

References

[1] P.J. Holmes: Journal of Sound and Vibration, Vol. 84 (1982), pp.173-89.

Google Scholar

[2] G.S. Whiston: Journal of Sound and Vibration, Vol. 152 (1992), pp.427-60.

Google Scholar

[3] G.W. Luo: Nonlinear Analysis: Real World Applications, Vol. 7 (2006), pp.1029-41.

Google Scholar

[4] J.H. Xie, W.C. Ding: International Journal of Non-Linear Mechanics, Vol. 40(2005), pp.531-43.

Google Scholar

[5] G.L. Wen: Journal of Sound and Vibration, Vol. 242 (2001), pp.475-85.

Google Scholar

[6] W.C. Ding, J.H. Xie: Physics Letters A, Vol. 349 (2006), p.324–30.

Google Scholar

[7] A. Stefanski: Chaos, Solitons and Fractals, Vol. 11 (2000), pp.2443-51.

Google Scholar

[8] S.L.T. de Souza, I.L. Caldas: Chaos, Solitons and Fractals, Vol. 19 (2004), p.569–79.

Google Scholar

[9] L. Jin, Q.S. Lu, E. H: Journal of Sound and Vibration, Vol. 298 (2006), pp.1019-33.

Google Scholar

[10] J. Awrejcewicz, G. Kudra: Nonlinear Analysis, Vol. 63 (2005), pp.909-18.

Google Scholar

[11] S.W. Shaw: Journal of Applied Mechanics, Vol. 52 (1985), pp.459-64.

Google Scholar

[12] S.W. Shaw, R.H. Rand: International Journal of Non-linear Mechanics, Vol. 24 (1989), pp.41-56.

Google Scholar

[13] Y. Yue, J.H. Xie: Journal of Sound and Vibration, Vol. 314 (2008), pp.228-45.

Google Scholar

[14] Y. Yue, J.H. Xie, H.D. Xu: Journal of Sound and Vibration, Vol. 323(2009), pp.292-312.

Google Scholar

[15] Y. Yue, J.H. Xie: Physics Letters A, Vol. 373 (2009), pp.2041-46.

Google Scholar

© 2025 Trans Tech Publications Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies. For open access content, terms of the Creative Commons licensing CC-BY are applied.
Scientific.Net is a registered trademark of Trans Tech Publications Ltd.