You are here

Home » Content

Linear Damping Vibrations of Two Binding Pendulums

Journal Name:

  • İstanbul Üniversitesi Fen Fakültesi Matematik, Fizik ve Astronomi Dergisi

Publication Year:

  • 2006-2007
Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
The statement of fundamental problems and solution methods in a class of linear dynamic systems are studied in the present paper. Theorical results are applied to the vibrations of two binding pendulums with viscoelastic spring. The effect of viscosity coefficients on the character of the solution is investigated. The conditions of stability, asymptotic stability and instability of the solutions are obtained and the orbits of the motion for the different values of parameters are driven by using Maple 10 program.
Bookmark/Search this post with
FULL TEXT (PDF): 
PDF icon arastrmx_190866_2_pp_5-12.pdf
5-12
  • English

REFERENCES

References: 

1. WTRSCHfNG, P.H., PAEZ, T.L., ORTIZ, K„ 1995, Random Vibrations; Theory and Practice; John Willey & Sons Inc.
2. BOLOTiN, V.V. 1995, Nonlinear Stability of Structures ; Theory and Computational Techniques, Dynamic Stability of Structures, Springer-Verlag, N.Y., 3-211-82651-3.
3. SEYRANlAN, AP, MAILYBAEV, A.A., 2004, Multiparameter Stability Theory with Mechanical Applications, World Scientific Pub. Co.
4. BUTENiN, N.V., NEIMARK, Yu.L, FUFAEV, N.A., 1987, Introduction to Nonlinear Vibrations Theory, Nauka, Moskova.
5. HIRSCH, M.W., SMALE, S., DEVANEY, R.L., 2004, Differential Equations, Dynamical Systems and an introduction Chaos, Elsevier Acad. Press, 0-12-349703-5.
6. KUZNETSOV, Y.A., 2004, Elements of Applied Bifurcation Tlieoty, Sphiger
Verlag, 0-387-21906-4.
7. BOLOTIN, V.V., 1964, The Dynamic Stability of Elastic Systems, Holden-Day, Inc,
San Francicsco, London.
8. CICEK, C, 2007, Quasilinear Dynamic Systems and Their Applications to Viscoelastic Vibrations, PhD. Thesis, I.U. Institute of Science, Istanbul.

Thank you for copying data from http://www.arastirmax.com