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Archive of Applied Mechanics

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26-05-2020 | Original

Dynamic response and chaos in planar multi-link mechanism considering revolute clearances

Authors: Xiulong Chen, Shouyuan Jiang

Published in: Archive of Applied Mechanics | Issue 9/2020

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Abstract

During actual motion, there are inevitably clearances between the motion pairs of the mechanism, and the clearances will have a large impact on stability of the mechanism. Previous studies mainly focused on the dynamic response of simple mechanisms with single clearance and less on chaos. Even if chaos is studied, it mainly focused on the chaos of mechanisms and less on the chaos of clearance joints; however, it is well known that the analysis of chaotic characteristics of clearance is the key to fault diagnosis of kinematic pairs. In order to give a computational methodology for dynamic analysis of planar multi-link mechanism considering multi-clearances and master the dynamic response of planar multi-link mechanism, the dynamic response and chaos of a planar six-bar mechanism are researched. A multiple clearances dynamic model of planar six-bar mechanism is built by Lagrange multiplier method, and the dynamic model is solved by Runge–Kutta method. The influence of different clearance positions, clearance numbers and clearance sizes on dynamic response of mechanism is analyzed. The nonlinear characteristic analysis of six-bar mechanism is conducted, and chaotic phenomena of the clearance joint are explained by Poincaré maps and phase diagrams. The bifurcation diagram at clearance of the revolute joint changes with different clearance values, friction coefficients and driving speeds is given. Those above results provide an important theoretical basis for the study of influence of multi-clearance on dynamic responses and chaotic phenomena of planar multi-link mechanism.

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Tian, Q., Flores, P., Lankarani, H.M.: A comprehensive survey of the analytical, numerical and experimental methodologies for dynamics of multibody mechanical systems with clearance or imperfect joints. Mech. Mach. Theory 122, 1–57 (2018)

Flores, P.: A parametric study on the dynamic response of planar multibody systems with multiple clearance joints. Nonlinear Dyn. 61(4), 633–653 (2010)MATH

Chen, X.L., Jiang, S., Deng, Y., Wang, Q.: Dynamics analysis of 2-DOF complex planar mechanical system with joint clearance and flexible links. Nonlinear Dyn. 93(3), 1009–1034 (2018)

Qi, G.Y., Chen, G.R.: A spherical chaotic system. Nonlinear Dyn. 81(3), 1381–1392 (2015)MathSciNet

Zhang, W., Ye, M.: Local and global bifurcations of valve mechanism. Nonlinear Dyn. 6(3), 301–316 (1994)

Tan, H.Y., Hu, Y.J., Li, L.: Effect of friction on the dynamic analysis of slider-crank mechanism with clearance joint. Int. J. Nonlinear Mech. 115, 20–40 (2019)

Bai, Z.F., Jiang, X., Li, F., Zhao, J.J., Zhao, Y.: Reducing undesirable vibrations of planar linkage mechanism with joint clearance. J. Mech. Sci. Technol. 32(2), 559–565 (2018)

Wang, T.C., Chen, G.P., Ma, F., Sun, D.Y.: Dynamic analysis of multibody systems with mixed clearance. J. Vib. Shock. 35(9), 178–183 (2016)

Ben Abdallah, M.A., Khemili, I., Aifaoui, N.: Numerical investigation of a flexible slider-crank mechanism with multijoints with clearance. Multibody Syst. Dyn. 38(2), 173–199 (2016)

10.

Li, Y.Y., Chen, G.P., Sun, D.Y., Gao, Y., Wang, K.: Dynamic analysis and optimization design of a planar slider-crank mechanism with flexible components and two clearance joints. Mech. Mach. Theory 99, 37–57 (2016)

11.

Salahshoor, E., Ebrahimi, S., Zhang, Y.Q.: Frequency analysis of a typical planar flexible multibody system with joint clearances. Mech. Mach. Theory 126, 429–456 (2018)

12.

Wang, X.P., Liu, G., Ma, S.J., Tong, R.T., Xue, Y.M.: Effects of clearance joint on impact dynamic characteristics of planar mechanisms. J. Vib. Shock. 36(17), 74–78 (2017)

13.

Marques, F., Isaac, F., Dourado, N., Flores, P.: An enhanced formulation to model spatial revolute joints with radial and axial clearances. Mech. Mach. Theory 116, 123–144 (2017)

14.

Tan, H.Y., Hu, Y.J., Li, L.: A continuous analysis method of planar rigid-body mechanical systems with two revolute clearance joints. Multibody Syst. Dyn. 40(4), 347–373 (2017)MathSciNetMATH

15.

Rahmanian, S., Ghazavi, M.R.: Bifurcation in Planar Slider-crank Mechanism with Revolute Clearance Joint. Mech. Mach. Theory 91(4), 86–101 (2015)

16.

Wang, X.P., Liu, G., Ma, S.J.: Dynamic analysis of planar mechanical systems with clearance joints using a new nonlinear contact force model. J. Mech. Sci. Technol. 30(4), 1537–1545 (2016)

17.

Ahmedalbashir, M., Romdhane, L., Lee, J.: Dynamics of a four-bar mechanism with clearance and springs—modeling and experimental analysis. J. Mech. Sci. Technol. 31(3), 1023–1033 (2017)

18.

Erkaya, S., Doğan, S.: A comparative analysis of joint clearance effects on articulated and partly compliant mechanisms. Nonlinear Dyn. 81(1–2), 323–341 (2015)

19.

Flores, P., Ambrósio, J., Claro, J.C.P., Lankarani, H.M.: Dynamic behaviour of planar rigid multi-body systems including revolute joints with clearance. Proc. Inst. Mech. Eng. Pt. K-J Multi-Body 221(2), 161–174 (2007)

20.

Farahan, S.B., Ghazavi, M.R., Rahmanian, S.: Bifurcation in a planar four-bar mechanism with revolute clearance joint. Nonlinear Dyn. 87(2), 955–973 (2017)

21.

Hou, Y.L., Wang, Y., Jing, G.N., Zeng, D.X., Qiu, X.S., Li, H.J.: Chaos and impact phenomena of a RU-RPR decoupled parallel mechanism concerning clearance. J. Vib. Shock. 36(1), 215–222 (2017)

22.

Ma, J., Qian, L.F.: Modeling and simulation of planar multibody systems considering multiple revolute clearance joints. Nonlinear Dyn. 90(3), 1907–1940 (2017)MathSciNet

23.

Yao, M.H., Zhang, W., Zu, J.W.: Multi-pulse chaotic dynamics in non-planar motion of parametrically excited viscoelastic moving belt. J. Sound Vib. 331(11), 2624–2653 (2012)

24.

Tang, Y.G., Chang, Z.Y., Dong, X.G., Hu, Y.F., Yu, Z.J.: Nonlinear dynamics and analysis of a four-bar linkage with clearance. Front. Mech. Eng. 8(2), 160–168 (2013)

25.

Wang, Z., Tian, Q., Hu, H.Y., Flores, P.: Nonlinear dynamics and chaotic control of a flexible multibody system with uncertain joint clearance. Nonlinear Dyn. 86(3), 1571–1597 (2016)

26.

Wei, D.G., Wang, Y., Jiang, T., Zheng, S.F., Zhao, W.J., Pan, Z.J.: Chaos vibration of pinion and rack steering trapezoidal mechanism containing two clearances. Mech. Syst. Signal Proc. 92, 146–155 (2017)

27.

Yang, F.H., Zhang, W., Wang, J.: Sliding bifurcations and chaos induced by dry friction in a braking system. Chaos Soliton Frac. 40(3), 1060–1075 (2009)MathSciNetMATH

28.

Xu, Q.M., Jing, Z.L., Hu, S.Q.: Stability analysis of nonlinear dynamic system with linear observer for a multilink flexible manipulator. Int. J. Non-Linear Mech. 103, 27–36 (2018)

29.

Xiang, L., Gao, N., Tang, L., Guo, P.F.: Nonlinear dynamic features of wind turbine’s gear sytems subjected to internal and external excitations. J. Vib. Shock. 37(5), 126–132 (2018)

30.

Chen, X.L., Gao, W.H., Jiang, S., Song, H., Gou, Y.Y.: Static and dynamic analysis of a novel single-DOF six bar mechanical press mechanism. J. Shandong Univ. Sci. Technol. 36(5), 80–90 (2017)

31.

Flores, P., Koshy, C.S., Lankarani, H.M., Ambrósio, J., Claro, J.C.P.: Numerical and experimental investigation on multibody systems with revolute clearance joints. Nonlinear Dyn. 65(4), 383–398 (2011)

32.

Marques, F., Flores, P., Pimenta Claro, J.C., Lankarani, H.M.: A survey and comparison of several friction force models for dynamic analysis of multibody mechanical systems. Nonlinear Dyn. 86(3), 1407–1443 (2016)MathSciNet

33.

Yang, Y.P., Betsch, P., Zhang, W.: Numerical integration for the inverse dynamics of a large class of cranes. Multibody Syst. Dyn. 48(1), 1–40 (2020)MathSciNetMATH

34.

Ding, J.Y., Pan, Z.K., Zhang, W.: The constraint-stabilized implicit methods on Lie group for differential-algebraic equations of multibody system dynamics. Adv. Mech. Eng. 11(4), 1–12 (2019)

35.

Zhuang, F.F., Wang, Q.: Modeling and analysis of rigid multibody systems with driving constraints and frictional translation joints. Acta Mech. Sin. 30(3), 437–446 (2014)MathSciNetMATH

Title: Dynamic response and chaos in planar multi-link mechanism considering revolute clearances
Authors: Xiulong Chen
Shouyuan Jiang
Publication date: 26-05-2020
Publisher: Springer Berlin Heidelberg
Published in: Archive of Applied Mechanics / Issue 9/2020
Print ISSN: 0939-1533
Electronic ISSN: 1432-0681
DOI: https://doi.org/10.1007/s00419-020-01704-4

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