Iranian Journal of Mechanical Engineering Transactions of ISME

Iranian Journal of Mechanical Engineering Transactions of ISME

Energy analysis of flexible multibody systems with internal damping under impact condition

Authors
Department of Mechanical Engineering, Yazd University
Abstract
Analysis of multibody mechanical systems using computational dynamics has been greatly developed recently. When these systems operate at higher speeds and under impact conditions, the assumption that the links behave as rigid bodies does not lead to exact analysis and the energy dissipation due to the internal damping of flexible bodies can make considerable effect on the behavior of the system. This issue becomes more important under impact conditions. In this paper, considering the internal damping of the flexible coupler of a high-speed crank-slider mechanism under impact conditions, the effect of different parameters on the reduction of vibration – which is due to contact forces - is investigated using multibody system dynamics.
The internal damping of the coupler is described by Rayleigh’s proportional damping model. Having derived the constrained equations of motion by Euler-Lagrange augmented method, the effect of flexibility and internal damping is presented for the crank-slider mechanism with the flexible coupler under impact conditions. In addition, the effect of the material type on the internal damping and vibration reduction is carefully investigated.
Keywords

 
[1] Shabana, A.A., "Computational Dynamics", John Wiley & Sons, (2009).
 
 [2] متقیان شویعی، ع.، حیدری شیرازی، ک.، "اثر انعطاف­پذیری اعضاء بر حرکت مکانیزم­های صفحه­ای"، کنفرانس ملی مهندسی مکانیک ایران، دانشگاه شیراز، 8 اسفند، (1392).
 
[3] Badlani, M., and Midha, A., "Effect of Internal Material Damping on the Dynamics of a Slider-crank Mechanism", Journal of Mechanisms, Transmissions and Automation in Design, Vol. 105, No. 3, pp. 452-459, (1983).
 
[4] Khulief, Y.A., and Shabana, A.A., "Dynamic Analysis of Constrained System of Rigid and Flexible Bodies with Intermittent Motion", Journal of Mechanisms, Transmissions and Automation in Design, Vol. 108, No. 1, pp. 38-45, (1986).
 
[5] Bakr, E.M., and Shabana, A.A., "Effect of Geometric Elastic Non-linearities on the Impact Response of Flexible Multibody Systems", Journal of Sound and Vibration, Vol. 112, No. 3, pp. 415-432, (1987).
 
[6] Cuadrado, J., Escalona, J., Schiehlen, W., and Seifried, R., "Role of MMS and IFToMM in Multibody Dynamics, in: Technology Developments: the Role of Mechanism and Machine Science and IFToMM, Ceccarelli, M. (Ed.), Vol. 2011, pp. 161-172, (2011).
 
[7] Shabana, A.A., "Dynamics of Multibody Systems", Cambridge University Press, (2013).
 
[8] De Silva, C.W., "Vibration: Fundamentals and Practice", CRC press, (2006).
 
[9] Bathe, K. J., "Finite Element Procedures", Prentice-Hall, Englewood Cliffs, NJ, (1996).
 
[10] Ebrahimi, S., "A Contribution to Computational Contact Procedures in Flexible Multibody Systems", PhD Thesis, Stuttgart University, (2007).
 
[11] Gilardi, G., and Sharf, I., "Literature Survey of Contact Dynamics Modelling", Mechanism and Machine Theory, Vol. 37, No.10, pp. 1213-1239, (2002).
 
[12] Khulief, Y.A., and Shabana, A.A., "A Continuous Force Model for the Impact Analysis of Flexible Multibody Systems", Mechanism and Machine Theory, Vol. 22, No. 3, pp. 213-224, (1987).
 [13] Lankarani, H.M., and Nikravesh, P., "A Contact Force Model with Hysteresis Damping for Impact Analysis of Multibody Systems", Journal of Mechanical Design, Vol. 112, No. 3, pp. 369-376, (1990).
 
[14] Pereira, C.M., Ramalho, A.L., and Ambrósio, J.A., "A Critical Overview of Internal and External Cylinder Contact Force Models", Nonlinear Dynamics, Vol. 63, No. 4, pp. 681-697, (2011).
 
[15] Simeon, B., "Numerical Analysis of Flexible Multibody Systems", Multibody System Dynamics, Vol. 6, No. 4, pp. 305-325, (2001).
 
[16] Shabana, A.A., and Bassam, A.H., "A Two-loop Sparse Matrix Numerical Integration Procedure for the Solution of Differential-algebraic Equations: Application to Multibody Systems", Journal of Sound and Vibration, Vol. 327, No. 3, pp. 557-563, (2009).
Volume 19, Issue 1 - Serial Number 46
System Dyanamics and Solid Mechanics
Spring 2016
Pages 101-117

  • Receive Date 24 March 2017