Dynamic analysis of planar mechanical systems with clearance joints using a new nonlinear contact force model
Tóm tắt
We investigated the dynamic behavior of planar mechanical systems with clearance joints. First, the contact effect in clearance joint was studied using a new nonlinear contact force model, and the rationality of this model was verified by the results of numerical simulations, which are based on a journal and bearing contact model. Then, the dynamic characteristics of a planar slider-crank mechanism with clearance were analyzed based on the new nonlinear contact force model, and the friction effect of clearance joint was also considered using modified Coulomb friction model. Finally, the numerical results of the influence of clearance size on the acceleration of slider are presented, and compared with the published experimental results. The numerical and experimental results show that the new nonlinear contact force model presented in this paper is an effective method to predict the dynamic behavior of planar mechanical system with clearance joints, and appears to be suitable for a wide range of impact situations, especially with low coefficient of restitution.
Tài liệu tham khảo
S. Erkaya and I. Uzmay, Modeling and simulation of joint clearance effects on mechanisms having rigid and flexible links, JMST, 28 8 (2014) 2979–2986.
P. Flores and J. Ambrósio, Revolute joints with clearance in multibody systems, Computers and Structures, 82 (2004) 1359–1369.
Q. Tian, Y. Zhang, L. Chen and P. Flores, Dynamics of spatial flexible multibody systems with clearance and lubricated spherical joints, Computers and Structures, 87 (2009) 913–929.
T. K. Naskar and S. Acharyya, Measuring cam-follower performance, Mechanism and Machine Theory, 45 (2010) 678–691.
M. Machado, P. Moreira, P. Flores and H. M. Lankarani, Compliant contact force models in multibody dynamics: Evolution of the Hertz contact theory, Mechanism and Machine Theory, 53 (2012) 99–121.
W. Goldsmith, Impact-the theory and physical behaviour of colliding solids, Edward Arnold Ltd., London, England (1960).
C. S Liu, K. Zhang and L. Yang, The FEM analysis and approximate model for cylindrical joints with clearances, Mechanism and Machine Theory, 42 (2007) 183–197.
K. H. Hunt and F. R. E. Crossley, Coefficient of restitution interpreted as damping in vibroimpact, J. of Applied Mechanics, 7 (1975) 440–445.
H. M. Lankarani and P. E. Nikravesh, A contact force model with hysteresis damping for impact analysis of multi-body systems, J. of Mechanical Design, 112 (1990) 368–376.
Z. F. Bai and Y. Zhao, A hybrid contact force model of revolute joint with clearance for planar mechanical systems, International J. of Non-Linear Mechanics, 48 (2013) 15–36.
X. P. Wang and G. Liu, Modeling and simulation of revolute joint with clearance in planar multi-body systems, JMST, 29 10 (2015) 4113–4120.
X. P. Wang and G. Liu, Nonlinear behavior analysis of a flapping-wing mechanism with clearance joint, Applied Mechanics and Materials, 743 (2015) 107–114.
L. X. Xu and Y. G. Li, Investigation of clearance joints on the dynamic performance of a planar 2-DOF pick-and-place parallel manipulator, Robotics and Computer-Integrated Manufacturing, 30 (2014) 62–73.
Y. Zhao and Z. F. Bai, Dynamics analysis of space robot manipulator with joint clearance, Acta Astronautica, 68 (2010) 1147–1155.
P. Flores, A parametric study on the dynamic response of planar multibody systems with multiple clearance joints, Nonlinear Dynamics, 61 (2010) 633–653.
P. Flores, Modeling and simulation of wear in revolute clearance joints in multibody systems, Mechanism and Machine Theory, 44 (2009) 1211–1222.
C. S. Koshy, P. Flores and H. M. Lankarani, Study of the effect of contact force model on the dynamic response of mechanical systems with dry clearance joints: Computational and experimental approaches, Nonlinear Dynamics, 73 (2013) 325–338.
X. G. Yao et al., Dynamic analysis for planar beam with clearance joint, J. of Sound and Vibration, 03/2015; 339. DOI: 10.1016/j.jsv.2014.11.001.
H. Y. Zhao et al., A parameters optimization method for planar joint clearance model and its application for dynamics simulation of reciprocating compressor, J. of Sound and Vibration, 05/2015, 344, DOI: 10.1016/j.jsv.2015.01.044.
S. Erkaya, Prediction of vibration characteristics of a planar mechanism having imperfect joints using neural network, JMST, 26 5 (2012) 1419–1430.
J. S.-S. Wu et al., The effect of bending loads on the dynamic behaviors of a rolling guide, JMST, 26 3 (2012) 671–680.
J. A. C. Ambrósio, Impact of rigid and flexible multibody systems: Deformation Description and Contact Models, Virtual Nonlinear Multibody Systems, 2 (2002) 15–33.
P. Flores et al., Numerical and experimental investigation on Multibody systems with revolute clearance joints, Nonlinear Dynamics, 65 4 (2011) 383–398.
BS EN ISO 286-1:2010, Geometrical Product Specifications (GPS)-ISO code system for tolerance on linear sizes, Part 1: Basis of tolerances, deviations and fits (2010).
BS EN ISO 286-2:2010, Geometrical Product Specifications (GPS)-ISO code system for tolerance on linear sizes, Part 2: Tables of standard tolerance classes and limit deviations for holes and shafts (2010).