Abstract
In this study the vibration characteristics and dynamical behavior of a general planar mechanism with a flexible link that contain cracks and a revolute joint with clearance at the slider is analyzed. The link flexibility is modelled using the finite element method, and the local flexibilities representing cracks are modelled using massless rotational springs. The equations of motion are developed for the non impacting case. The equations of motion in integrated form (called the impact equations) are used to model impact at the joint. The influence of the angular velocity, number of cracks, and clearance of the slider revolute joint on the flexural response of the flexible rod is investigated.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Dupac, M., Beale, D.G.: Dynamic analysis of a flexible linkage mechanism with cracks and clearance. Mech. Mach. Theory 45(12), 1909–1923 (2010)
Dupac, M., Marghitu, D.B.: Nonlinear dynamics of a flexible mechanism with impact. J. Sound Vib. 289(4–5), 952–966 (2006)
Marghitu, D.B., Sinha, S.C., Diaconescu, C.: Control of a parametrically excited flexible beam undergoing rotations and impacts. Multibody Syst. Dyn. 3, 47–63 (1999)
Rubinstein, D.: Dynamics of a flexible rod and a system of rigid rods, fully inverse boundary conditions. Comput. Methods Appl. Mech. Eng. 175, 87–97 (1999)
Skrinar, M., Plibersek, T.: New finite element for transversely cracked slender beams subjected to transverse loads. Comput. Mater. Sci. 39, 250–260 (2007)
Skrinar, M.: Elastic beam finite element with an arbitrary number of cracks. Finite Elem. Anal. Des. 45, 181–189 (2009)
Skrinar, M., Umek, A.: Plane line finite element of beam with crack. Gradbeni Vestnik 1/2, 2–7 (1996)
El-Dannanh, E.H.: Flexural vibrational behaviour of an elastic linkage containing a transverse crack. Mech. Mach. Theory 30(2), 285–297 (1995)
Flores, P.: Modeling and simulation of wear in revolute clearance joints in multibody systems. Mech. Mach. Theory 44, 1211–1222 (2009)
Flores, P., Ambrósio, J., Claro, J.P.: Dynamic analysis for planar multibody mechanical systems with lubricated joints. Multibody Syst. Dyn. 12, 47–74 (2004)
Flores, P., Ambrósio, J., Claro, J.C.P., Lankarani, H.M., Koshy, C.S.: A study on dynamics of mechanical systems including joints with clearance and lubrication. Mech. Mach. Theory 41(3), 247–261 (2006)
Flores, P., Leine, R., Glocker, C.: Modeling and analysis of planar rigid multibody systems with translational clearance joints based on the non-smooth dynamics approach. Multibody Syst. Dyn. 23, 165–190 (2010)
Glocker, C.: On frictionless impact models in rigid-body systems. Philos. Trans. Math. Phys. Eng. Sci. 359(1789), 2385–2404 (2001)
Schwab, A.L., Meijaard, J.P., Meijers, P.: A comparison of revolute joint clearance models in the dynamic analysis of rigid and elastic mechanical systems. Mech. Mach. Theory 37, 895–913 (2002)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer Science+Business Media B.V.
About this paper
Cite this paper
Dupac, M., Noorozi, S. (2011). FEM Modeling and Dynamical Behavior of a Flexible Cracked Linkage Mechanism with Clearance. In: Náprstek, J., Horáček, J., Okrouhlík, M., Marvalová, B., Verhulst, F., Sawicki, J. (eds) Vibration Problems ICOVP 2011. Springer Proceedings in Physics, vol 139. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2069-5_38
Download citation
DOI: https://doi.org/10.1007/978-94-007-2069-5_38
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-2068-8
Online ISBN: 978-94-007-2069-5
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)