Nonlinear Dynamic Behaviour of The Mechanisms Having Clearance and Compliant Joints
Subject Areas :
dynamics
Amirhosein
Javanfar
1
(Department of Mechanical Engineering,
Shahrood University of Technology, Iran)
Received: 2022-03-30
Accepted : 2022-08-20
Published : 2022-12-01
Keywords:
clearance,
Vibration,
Nonlinear dynamics of rigid four-bar mechanism,
compliant,
Abstract :
In this paper, the rigid four-bar linkage with clearance joint has been examined. The effects of design parameters have been analyzed separately. Considering chaotic behaviour and undesirable vibrations of the system induced by joint clearance, it has been suggested to use compliant joints for improving these undesirable behaviours. Therefore, rigid four-bar linkage with clearance joint and compliant joint is investigated by pseudo-rigid-body model. Subsequently, the nonlinear behaviour of the compliant mechanism is examined, using fast Fourier transform analysis, Poincare sections, and bifurcation diagram. Comparative analysis of results clearly shows that using appropriate compliant joints causes notable improvements in the behaviour of the system, reduction of sudden impacts, and lower accelerations. 6 cycles simulations of mechanisms demonstrate the decreasing 207 impacts to 33 impacts using compliant joint. Moreover, the results report 87% decrease in follower top acceleration and 64% in clearance joint top contact force. Although using the compliant joint makes limitations in the workspace, but the appropriate and optimized design of the compliant joint results in good improvement in the performance of the system.
References:
Seneviratne, L. D., Earles S. W., and Fenner D. N., Analysis of a Four-Bar Mechanism with a Radially Compliant Clearance Joint, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science. Vol. 210, No. 3, 1996, pp. 215-223, DOI: 10.1243%2FPIME_PROC_1996_210_191_02.
Chen, Y., Feng J., Peng, X., Sun, Y., He, Q., and Yu, C., An Approach for Dynamic Analysis of Planar Multibody Systems with Revolute Clearance Joints, Engineering with Computers, Vol. 37, No. 3, 2021, pp. 2159-2172, DOI: 10.1007/s00366-020-00935-x.
Lankarani, H. M., Nikravesh, P. E., A Contact Force Model with Hysteresis Damping for Impact Analysis of Multibody Systems, In International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Vol. 3691, pp. 45-51. American Society of Mechanical Engineers, DOI: 10.1115/1.2912617.
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, 2011, pp. 681-697, DOI: 10.1007/s11071-010-9830-3.
Flores, P., Ambrósio, J., Claro, J. C. P., Lankarani, H. M., and Koshy, C. S, A Mechanism and Machine Theory, Vol. 41, No. 3, 2006, pp. 247-261, DOI: 10.1016/j.mechmachtheory.2005.10.002.
Koshy, C. S., Sony, Ch., Flores, P., and Lankarani, H. M., 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, Vol. 73, No. 1, 2013, pp. 325-338, DOI: 10.1007/s11071-013-0787-x.
Varedi, S. M., Bamdad, M., The Effects of Joint Clearance on the Dynamics of the 3-RPR Planar Parallel Manipulator, Advance Design and manufacturing Technology, Vol. 11, No. 2, 2018, pp. 120-113, DOI: 10.1017/S0263574715001095.
Ebrahimi, S., Salahshoor, E., and Nouri, S., Sensitivity Analysis for Optimal Design of Multibody Systems with Clearance Joint, Advance Design and Manufacturing Technology, Vol. 11, No. 3, 2018, pp. 35-44, ISSN: 2252-0406.
Flores, P., Koshy, C. S., Lankarani, H. M., Ambrósio, J., and Koshy, C. S., Numerical and Experimental Investigation on Multibody Systems with Revolute Clearance Joints, Nonlinear Dynamics, Vol. 65, No. 4, 2011, pp. 383-398, DOI: 10.1007/s11071-010-9899-8.
Javanfar, A., Daniali, H. M., Dardel, M., and Ghasemi, M. H., Dynamic Behaviour Analysis of Four-Bar Linkage Mechanisms with Joints' Clearance, In 2015 3rd RSI International Conference on Robotics and Mechatronics (ICROM), pp. 383-388, IEEE, 2015, DOI: 10.1109/ICRoM.2015.7367815.
Javanfar, A., Bamdad, M., Effect of Novel Continuous Friction Model on Nonlinear Dynamics of The Mechanisms with Clearance Joint, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science (2021), Vol. 236, No. 11, 2022, pp. 6040-6052, DOI: 10.1177%2F09544062211063432.
Marques, F., Flores, P., Pimenta, C., and Lankarani, H. M., A Survey and Comparison of Several Friction Force Models for Dynamic Analysis of Multibody Mechanical Systems, Nonlinear Dynamics, Vol. 86, No. 3, 2016, pp. 1407-1443, DOI: 10.1007/s11071-016-2999-3.
Azimi-Olyaei, A., Ghazavi, M. R, Stabilizing Slider-Crank Mechanism with Clearance Joints, Mechanism and Machine Theory, Vol. 53, 2012, pp. 17-29, DOI: 10.1016/j.mechmachtheory.2012.02.006.
Yaqubi, S., Dardel, M., Daniali, H. M., and Ghasemi, M. H., Modeling and Control of Crank–Slider Mechanism with Multiple Clearance Joints, Multibody System Dynamics, Vol. 36, No. 2, 2016, pp. 143-167, DOI: 10.1007/s11044-015-9486-3.
Erkaya, S., Uzmay I., Investigation on Effect of Joint Clearance on Dynamics of Four-Bar Mechanism, Nonlinear Dynamics, Vol. 58, No. 1, 2009, pp. 179-198, DOI: 10.1007/s11071-009-9470-7.
Sardashti, A., Daniali H. M., and Varedi S. M., Optimal Free-Defect Synthesis of Four-Bar Linkage with Joint Clearance Using PSO Algorithm, Meccanica, Vol. 48, No. 7, 2013, pp. 1681-1693, DOI: 10.1007/s11012-013-9699-6.
Varedi, S. M., Daniali, H. M., Dardel, M., and Fathi, A., Optimal Dynamic Design of a Planar Slider-Crank Mechanism with a Joint Clearance, Mechanism and Machine Theory, Vol. 86, 2015, pp. 191-200, DOI: 10.1007/s11012-013-9699-6.
Bai, Z. F., Zhao, Y., A Hybrid Contact Force Model of Revolute Joint with Clearance for Planar Mechanical Systems, International Journal of Non-Linear Mechanics, Vol. 48, 2013, pp. 15-36, DOI: 10.1016/j.ijnonlinmec.2012.07.00.
Liu, X., Ding, J., and Wang, C., Design Framework for Motion Generation of Planar Four-Bar Linkage Considering Clearance Joints and Dynamics Performance, Machines, Vol. 10, No. 2, 2022, pp. 136, DOI: 10.3390/machines10020136.
Hua, G., Jingyu, Z., Hao, Z., Qingkai, H., and Jinguo, L., Dynamic Investigation of a Spatial Multi-Body Mechanism Considering Joint Clearance and Friction Based on Coordinate Partitioning Method, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, Vol. 235, No. 24, 2021, pp. 7569-7587, DOI: 10.1177%2F09544062211025566.
Yaqubi, S, Dardel, M, and Daniali, H. M., Nonlinear Dynamics and Control of Crank–Slider Mechanism with Link Flexibility and Joint Clearance, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, vol. 230, no. 5, 2016, pp. 737-755, DOI: 10.1177%2F0954406215593773.
Erkaya, S., Doğan, S., and Şefkatlıoğlu, E., Analysis of the Joint Clearance Effects on a Compliant Spatial Mechanism, Mechanism and Machine Theory, Vol. 104, 2016, pp. 255-273, DOI: 10.1016/j.mechmachtheory.2016.06.009.
Oh, Y. S., Kota, S., Synthesis of Multistable Equilibrium Compliant Mechanisms Using Combinations of Bistable Mechanisms, Journal of Mechanical Design, Vol. 131, No. 2, 2009, DOI: 10.1115/1.3013316.
Erkaya, S., Effects of Joint Clearance on the Motion Accuracy of Robotic Manipulators, Strojniski Vestnik/Journal of Mechanical Engineering, Vol. 64, No. 2, 2018, DOI: 10.5545/sv-jme.2017.4534.
Amiri, A., Dardel, M., and Daniali, H. M., Effects of Passive Vibration Absorbers on The Mechanisms Having Clearance Joints, Multibody System Dynamics, Vol. 47, No. 4, 2019, pp. 363-395, DOI: 10.1007/s11044-019-09684-2.
Moon, Y. M., Trease, B. P., and Kota, S., Design of Large-Displacement Compliant Joints, InInternational Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Vol. 36533, 2002, pp. 65-76, American Society of Mechanical Engineers, DOI: 10.1115/DETC2002/MECH-34207" \t.
Fowler, R. M., Maselli, A., Pluimers, P, Spencer P. M., and Howell, L. L., Flex-16: A Large-Displacement Monolithic Compliant Rotational Hinge, Mechanism and Machine Theory, Vol. 82, 2014, pp. 203-217, DOI: 10.1016/j.mechmachtheory.2014.08.008.
Wang, N., Xiaohe, L., and Xianmin, Z., Pseudo-Rigid-Body Model for Corrugated Cantilever Beam Used in Compliant Mechanisms, Chinese Journal of Mechanical Engineering, Vol. 27, No. 1, 2014, pp. 122-129, DOI: 10.3901/CJME.2014.01.122.
Li, Z., Tsagarakis, N. G., and Caldwell, D. G., Walking Pattern Generation for a Humanoid Robot with Compliant Joints, Autonomous Robots, Vol. 35, No. 1, 2013, pp. 1-14, DOI: 10.1007/s10514-013-9330-7.
Timoshenko, S., History of Strength of Materials: with a Brief Account of The History of Theory of Elasticity and Theory of Structures, Courier Corporation, 1983, ISBN: 0486611876.
Ugwuoke, I. C., Abolarin, M. S., and Ogwuagwu, O. V., Dynamic Behaviour of Compliant Slider Mechanism using the Pseudo-Rigid-Body Modeling Technique, AU JT, Vol. 12, No. 4, 2009, pp. 227-234.
