Improving the Dynamic Properties of the Crank-Slider Mechanism with Joint Clearance Using Optimal Flexure Joint

Authors

Shahrood University of Technology

Abstract

Traditional joints always have some clearance which increases accelerations and forces. Flexural joints are a new type of joints that the clearance is eliminated and can be built seamlessly. The presence of intrinsic stiffness in the flexural joints increases the stiffness of the joints, and it can reduce the difficulties caused by clearance in other joints. The purpose of this research is to decrease the effect of joint clearance using flexural joints. First, dynamic equations of the slider-crank mechanism are derived using the Lagrange equation, where the mechanism has both the clearance joint and the flexural joint. Moreover, the flexural joints are modeled based on a pseudo rigid body model in which the joint is modeled as a torsional spring. The design of two different types of flexural joints has been done based on defining the optimization problem and optimal design. Design variables of optimization problems include joint geometry and material properties. Minimizing the maximum values of the links' acceleration has been considered the objective function, and the optimization problems have been solved using the Genetic Algorithm. The results show that utilizing the flexural joints in the desired mechanism can reduce the maximum values of accelerations by approximately 90%.

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References

[1] Weisbord L, Paros JM (1965) How to design flexure hinges. Machine Design, 27(3), 151-157.
[2] Midha A, Howell L. L., & Norton, T. W. (2000). Limit positions of compliant mechanisms using the pseudo-rigid-body model concept. Mech. Mach. Theory, 35(1), 99-115.
[3] Howell LL (2013) Compliant mechanisms. In 21st century kinematics (pp. 189-216). Springer, London.
[4] Howell LL, Midha A (1996) A loop-closure theory for the analysis and synthesis of compliant mechanisms, ASME. J. Mech. Des., 118(1): 121–125.
[5] Farhadi Machekposhti, D., Tolou, N., & Herder, J. L. (2012). The scope for a compliant homokinetic coupling based on review of compliant joints and rigid-body constant velocity universal joints. In International Design Engineering Technical Conferences and Computers and Information in Engineering Conference (Vol. 45035, pp. 379-392). ASME.
[6] Lobontiu N (2002) Compliant mechanisms: design of flexure hinges. CRC press.
[7] Moon YM, Trease BP, Kota S (2002) Design of large-displacement compliant joints. In International Design Engineering Technical Conferences and Computers and Information in Engineering Conference (Vol. 36533, pp. 65-76). ASME.
 [8] Zhang ZJ, Yuan YB (2006) Research on a novel flexure hinge. In Journal of Physics: Conference Series (Vol. 48, No. 1, p. 053). IOP Publishing.
 [9] Tian Y, Shirinzadeh B, Zhang D (2010) Closed-form compliance equations of filleted V-shaped flexure hinges for compliant mechanism design. Precis. Eng., 34(3), 408-418.
[10] Pei X, Yu J (2011) ADLIF: a new large-displacement beam-based flexure joint. Mech. Sci., 2(2), 183-188.
[11] Rommers J, vanderWijk V, Herder JL (2021) A new type of spherical flexure joint based on tetrahedron elements. Precis. Eng., 71, 130-140.
[12] Naves M, Aarts RGKM, Brouwer, DM (2019) Large stroke high off-axis stiffness three degree of freedom spherical flexure joint. Precis. Eng., 56, 422-431.
[13] Gerez L, Gao G, Liarokapis M (2020) Laminar Jamming Flexure Joints for the Development of Variable Stiffness Robot Grippers and Hands. In 2020 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) (pp. 8709-8715). IEEE.
[14] Pavlović NT, Pavlović ND (2005) Mobility of the compliant joints and compliant mechanisms. Theor. Appl. Mech., 32(4), 341-357.
[15] Parlaktaş V, Tanık E (2014) Single piece compliant spatial slider–crank mechanism. Mech. Mach. Theory, 81, 1-10.
[16] Linß S, Gräser P, Henning S, Harfensteller F, Theska R, Zentner L (2019) Synthesis method for compliant mechanisms of high-precision and large-stroke by use of individually shaped power function flexure hinges. In IFToMM World Congress on Mechanism and Machine Science (pp. 1569-1578). Springer, Cham.
 [17] Hu J, Wen T, He J (2020) Dynamics of compliant mechanisms using transfer matrix method. Int. J. Precis. Eng. Manuf., 21(11), 2173-2189.
[18] Lankarani HM, Nikravesh PE (1989) 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). ASME.
[19] Flores P (2010) A parametric study on the dynamic response of planar multibody systems with multiple clearance joints. Nonlinear Dyn., 61(4), 633-653.
[20] Bai ZF, Zhao Y (2012) Dynamic behaviour analysis of planar mechanical systems with clearance in revolute joints using a new hybrid contact force model. Int. J. Mech. Sci., 54(1), 190-205.
[21] Farajtabar M, Daniali HM, Varedi SM (2017) Pick and place trajectory planning of planar 3-RRR parallel manipulator in the presence of joint clearance. Robotica, 35(2), 241-253.
[22] Parenti-Castelli V, Venanzi S (2005) Clearance influence analysis on mechanisms. Mech. Mach. Theory, 40(12), 1316-1329.
[23] Sardashti A, Daniali HM, Varedi SM (2013) Optimal free-defect function generation synthesis of four-bar linkage with joint clearance using PSO algorithm. J. Sci. Eng., 1(1), 67-78.
[24] Varedi SM, Daniali HM, Dardel M, Fathi A (2015) Optimal dynamic design of a planar slider-crank mechanism with a joint clearance. Mech. Mach. Theory, 86, 191-200.
[25] Varedi SM, Daniali HM, Dardel M (2015) Dynamic synthesis of a planar slider–crank mechanism with clearances. Nonlinear Dyn., 79(2), 1587-1600.
 [26] Varedi-Koulaei SM, Daniali HM, Farajtabar M, Fathi B, Shafiee-Ashtiani M (2016) Reducing the undesirable effects of joints clearance on the behavior of the planar 3-RRR parallel manipulators. Nonlinear Dyn., 86(2), 1007-1022.
 [27] Yaqubi S, Dardel M, Daniali HM, Ghasemi MH (2016) Modeling and control of crank–slider mechanism with multiple clearance joints. Multibody Syst. Dyn., 36(2), 143-167.
 [28] Koulaei SMV, Moahmmadi HR, Dardel M, Fathi A (2014) Optimal Compliant Design of a Planar Linkage for Decreasing the Undesirable Effects of Joint Clearance. Modares Mech. Eng., 14(5), 55-62.
[29] Erkaya S, Doğan S (2015) A comparative analysis of joint clearance effects on articulated and partly compliant mechanisms. Nonlinear Dyn., 81(1), 323-341.
[30] Erkaya S, Doğan S, Ulus Ş (2015) Effects of joint clearance on the dynamics of a partly compliant mechanism: numerical and experimental studies. Mech. Mach. Theory, 88, 125-140.
[31] Erkaya S, Doğan S, Şefkatlıoğlu E (2016) Analysis of the joint clearance effects on a compliant spatial mechanism. Mech. Mach. Theory, 104, 255-273.
]32[ حیدری ح و مالمیرنسب ع (1396)، کاهش ارتعاشات ربات دو لینکی انعطاف­پذیز با استفاده از مبدل پیزوالکتریک در طی مسیر مشخص، مکانیک سازه­ها و شاره­ها، دوره 7،  شماره 3، صفحه 185-197.
]33[ غلامی ا و تورجی­زاده ح (1398)، مدل­سازی و کنترل ربات 3PRS با استفاده از روش لاگرانژ، مکانیک سازه­ها و شاره­ها، دوره 9،  شماره 3، صفحه 25-38.
Journal of Solid and Fluid Mechanics
Volume 12, Issue 3
September and October 2022
Pages 1-12

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