×

zbMATH — the first resource for mathematics

A neural-genetic (NN-GA) approach for optimising mechanisms having joints with clearance. (English) Zbl 1341.70003
Summary: In this paper, a dimensional synthesis method for a four-bar \((4R)\) path generator mechanism having revolute joints with clearance is presented. Joint clearances are considered as virtual massless links. The proposed method uses a neural network (NN) to define the characteristics of joints with clearance with respect to the position of the input link, and a genetic algorithm (GA) to implement the optimization of link parameters using an appropriate objective function based on path and transmission angle errors. Training and testing data sets for network weights are obtained from mechanism simulation, and Grashof’s rule is used during the optimization process as constraint. The results show that the proposed method is very efficient for the purpose of modeling the joint variables and also adjusting the link dimensions to optimize planar mechanisms with clearances.

MSC:
70B15 Kinematics of mechanisms and robots
70-08 Computational methods for problems pertaining to mechanics of particles and systems
74S30 Other numerical methods in solid mechanics (MSC2010)
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Sandor, G.N., Erdman, A.G.: Advanced Mechanism Design Analysis and Synthesis. Prentice-Hall, Englewood Cliffs (1984)
[2] Laribi, M.A., Mlika, A., Romdhane, L., Zeghloul, S.: A combined genetic algorithm–fuzzy logic method (GA–FL) in mechanisms synthesis. Mech. Mach. Theory 39, 717–735 (2004) · Zbl 1143.70325
[3] Sancibrian, R., Garcia, P., Viadero, F., Fernandez, A.: A general procedure based on exact gradient determination in dimensional synthesis of planar mechanisms. Mech. Mach. Theory 41, 212–229 (2006) · Zbl 1101.70006
[4] Zhou, H., Cheung, E.H.M.: Optimal synthesis of crank-rocker linkages for path generation using the orientation structural error of the fixed link. Mech. Mach. Theory 36, 973–982 (2001) · Zbl 1140.70375
[5] Kunjur, A., Krishnamurty, S.: Genetic algorithms in mechanism synthesis. J. Appl. Mech. Robot. 4, 18–24 (1997)
[6] Prebil, I., Krasna, S., Ciglaric, I.: Synthesis of four-bar mechanism in a hydraulic support using a global optimization algorithm. Struct. Multidiscipl. Optim. 24, 246–251 (2002) · Zbl 0981.70502
[7] Smaili, A., Diab, N.: Optimum synthesis of hybrid-task mechanism using ant gradient search method. Mech. Mach. Theory 42, 115–130 (2007) · Zbl 1329.70006
[8] Vasiliu, A., Yannou, B.: Dimensional synthesis of planar mechanisms using neural networks: application to path generator linkages. Mech. Mach. Theory 36, 299–310 (2001) · Zbl 1140.70366
[9] Yıldırım, Ş., Erkaya, S., Su, Ş., Uzmay, \.I.: Design of neural networks model for transmission angle of a modified mechanism. KSME Int. J. 19, 1875–1884 (2005)
[10] Shi, Z., Yang, X., Yang, W., Cheng, Q.: Robust synthesis of path generating linkages. Mech. Mach. Theory 40, 45–54 (2005) · Zbl 1060.70006
[11] Cabrera, J.A., Simon, A., Prado, M.: Optimal synthesis of mechanisms with genetic algorithms. Mech. Mach. Theory 37, 1165–1177 (2002) · Zbl 1062.70512
[12] Ting, K.W., Zhu, J., Watkins, D.: The effects of joint clearance on position and orientation deviation of linkages and manipulators. Mech. Mach. Theory 35, 391–401 (2000) · Zbl 1047.70545
[13] Tsai, M.J., Lai, T.H.: Kinematic sensitivity analysis of linkage with joint clearance based on transmission quality. Mech. Mach. Theory 39, 1189–1206 (2004) · Zbl 1161.70311
[14] Flores, P., Ambrosio, J., Claro, J.P.: Dynamic analysis for planar multibody mechanical systems with lubricated joints. Multibody Syst. Dyn. 12, 47–74 (2004) · Zbl 1174.70307
[15] Flores, P., Ambrosio, 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, 247–261 (2006) · Zbl 1143.70319
[16] Choi, J.H., Lee, S.J., Choi, D.H.: Tolerance optimization for mechanisms with lubricated joints. Multibody Syst. Dyn. 2, 145–168 (1998) · Zbl 0921.70002
[17] Ravn, P.: A continuous analysis method for planar multibody systems with joint clearance. Multibody Syst. Dyn. 2, 1–24 (1998) · Zbl 0953.70517
[18] Chiou, S.T., Bai, G.J., Chang, W.K.: Optimum balancing designs of the drag-link drive of mechanical presses for precision cutting. Int. J. Mach. Tools. Manuf. 38, 131–141 (1998)
[19] Martinez-Alfaro, H., Valdez, H., Ortega, J.: Linkage synthesis of a four-bar mechanism for n-precision points using simulated annealing, DETC98/ MECH-5942. In: Proc. of the 1998 ASME Design Engineering Technical Conferences, Atlanta, Georgia, USA (1998)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.