THE DYNAMIC STUDY AND MODELING OF IMPACT DAMPER

Iuliana Fabiola MOHOLEA, Ioan RADU, Nicolae URSU-FISCHER

Abstract


The paper presents numerical simulation and graphical analysis of a mechanical vibro-impact system actuated by a harmonic force. The analytical study shows chaotic behavior of the mechanical system with two degrees of freedom and also the influence of initial conditions. Numerical results obtained using Runge-Kutta numerical method for solving differential equations were programmed in C, for different values of mechanical system parameters and initial conditions.

Key words:  vibro-impact systems, nonlinear differential equations, Runge-Kutta method, chaos.

Full Text:

Untitled

References


Blazejczyk-Okolewska, Barbara, Peterka, F., An investigation of the dynamic system with impacts, Chaos, Solitons & Fractals, 1998, Vol. 9, No. 8, pp. 1321-1338

Brândeu, L., Vibraţii şi vibropercuţii. Metode şi dezvoltări analitice, Editura Politehnică, Timişoara, 2005, 161 pp., ISBN 973-625-221-3

Egle, D. M., An investigation of an impact vibration absorber, Transactions of the ASME, Journal of Engineering for Industry, 1967, pp. 653-661.

Farshi, B., Assadi, A., Development of a chaotic nonlinear tuned mass damper for optimal vibration response, Commun. Nonlinear Sci Numer Simulat, 2011, pp. 4514 – 4523

Korenev, B. G., Reznikov, L. M., Dynamic Vibration Absorbers. Theory and Technical Applications, New York, John Willey, 1993, 312 pp., ISBN 0 471 92850 X

Luo, G.W., Lv, X.H., Controlling bifurcation and chaos of a plastic impact oscillator, Nonlinear Analysis: Real World Applications, 2009, pp. 2047 – 2061

Peterka, F., Dynamics of double impact oscillators, FACTA UNIVERSITATIS, Series: Mechanics, Automatic Control and Robotics, 2000, Vol. 2, No. 10, pp. 1177 – 1190

Peterka, F., More detail view on the dynamics of the impact damper, FACTA UNIVERSITATIS, Series: Mechanics, Automatic Control and Robotics, 2003, Vol. 3, No. 14, pp. 907 – 920

Radu, I., Dinamica, Editura Mirton, Timiṣoara, 2001, 210 pp.

Silas, G., Brândeu, L., The vibro-impact systems (in Romanian), Bucureşti, Editura Tehnică, 1986, 456 pp.

Ursu-Fischer, N., Vibrations of Mechanical Systems. Theory and Applications (in Romanian), Casa Cărţii de Ştiinţă, Cluj-Napoca, 1998, 452 pp., ISBN 973-9404-05-7

Ursu-Fischer, N., Ursu, M., Programming with C in Engineering (in Romanian), Casa Cărţii de Ştiinţă, Cluj-Napoca, 2001, 405 pp., ISBN 973-686-227-5

Ursu-Fischer, N., Ursu, M., Complements of Mathematics with Engineering Applications (in Romanian), Casa Cărţii de Ştiinţă, Cluj-Napoca, 2010, 373 pp., ISBN 978-973-133-728-9

Ursu-Fischer, N., Numerical Methods in Engineering and Programs in C. Differential Equations and Systems with Initial and Boundary Conditions (in Romanian), Casa Cărţii de Ştiinţă, Cluj-Napoca, 2013, 454 pp., ISBN 978-606-17-0306-7

Vinayaravi, R., Kumaresan, D., Jayaraj, K., Asraff, A.K., Muthukumar, R., Experimental investigation and theoretical modeling of an impact damper, Journal of Sound and Vibration, 2013, pp.1324–1334

Vâlcovici, V., Bălan, Şt., Voinea, R., Theoretical Mechanics (in Romanian), ed. II, Editura Tehnică, Bucureşti, 1963, 1007 pp.

Wiercigroch, M., Chaotic vibration of a simple model of the machine tool-cutting process system, Transaction of ASME, Journal of Vibration and Acoustics, 1997, Vol. 119, pp. 468-475


Refbacks

  • There are currently no refbacks.


JOURNAL INDEXED IN :