Abstract




 
   

IJE TRANSACTIONS B: Applications Vol. 28, No. 2 (February 2015) 243-250   

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  DYNAMIC BEHAVIOR ANALYSIS OF A PLANAR FOUR-BAR LINKAGE WITH MULTIPLE CLEARANCES JOINT
 
S. M. Varedi Koulaei, H. R. Mohammadi Daniyali, M. Dardel and A. R. Fathi
 
( Received: July 06, 2014 – Accepted: November 13, 2014 )
 
 

Abstract    In practice, clearances in the joints are inevitable due to tolerances, and defects arising from design and manufacturing. In the presence of clearance at a joint, a mechanism gains some additional, uncontrollable degrees of freedom which are the source of error. Moreover, joints undergo wear and backlashes and so cannot be used in precision mechanisms. In this study, the dynamic behaviour of a planar mechanism with revolute joints, in the presence of clearances is investigated. A continuous contact force model, based on the elastic Hertz theory together with a dissipative term, is used to evaluate the contact forces. Moreover, using a new contact model the dynamic characteristics of planar mechanical system with multiple revolute joints in the presence of clearance are analyzed. Numerical results for four-bar linkage with one, two and three revolute clearance joints are presented and compared.

 

Keywords    Dynamic, Four-bar linkage, Clearance, revolute joint

 

چکیده    در عمل، بواسطه وجود تلرانس­ها و معایب موجود در فرایند ساخت، وجود لقی در مفاصل امری اجتناب­ناپذیر است. باید توجه نمود که در صورت وجود لقی در مفصل، چند درجه آزادی غیرقابل کنترل که می­تواند منبع ایجاد خطا باشد، به مکانیزم افزوده خواهد شد. همچنین، وجود سایش و پس­زنی در مفصل، دقت مکانیزم را کاهش می­دهد. در این مقاله، رفتار دینامیکی یک مکانیزم صفحه­ای با در نظر گرفتن لقی در مفاصل لولایی آن مورد بررسی قرار می­گیرد. برای مدل­سازی نیروی تماسی، از تئوری جدیدی که ترکیبی از تئوری هرتز و جمله میرایی است، استفاده شده است. به عنوان مثال عددی، مشخصه­های دینامیکی مکانیزم چهارمیله­ای دارای یک، دو و سه مفصل لق مورد اریابی و مقایسه قرار می­گیرد. نتایج نشان می­دهند که با افزایش تعداد مفاصل لق، کارایی دینامیکی مکانیز کاهش و تولید شوک و ارتعاش درآن افزایش می­یابد.

References   

1.     Fattah, A. and Ogbaei, M., "Forward position kinematics of a parallel manipulator with new architecture", International Journal of Engineering, Transactions B: Applications, Vol. 14, No. 3, (2001), 239-246.

2.     Varedi, S., Daniali, H. and Ganji, D., "Kinematics of an offset 3-UPU translational parallel manipulator by the homotopy continuation method", Nonlinear Analysis: Real World Applications,  Vol. 10, No. 3, (2009), 1767-1774.

3.     Liang, Q. and Wang, Y., "Flexible ankle based on PKM with force/torque sensor for humanoid robot", International Journal of Engineering, Transactions B: Applications,  Vol. 24, No. 4, (2011), 377-385.

4.     Dasgupta, B. and Mruthyunjaya, T., "The stewart platform manipulator: A review", Mechanism and Machine Theory,  Vol. 35, No. 1, (2000), 15-40.

5.     Meng, J., Zhang, D. and Li, Z., "Accuracy analysis of parallel manipulators with joint clearance", Journal of Mechanical Design,  Vol. 131, No. 1, (2009), 11-13.

6.     Bai, Z.F. and Zhao, Y., "Dynamic behaviour analysis of planar mechanical systems with clearance in revolute joints using a new hybrid contact force model", International Journal of Mechanical Sciences,  Vol. 54, No. 1, (2012), 190-205.

7.     Azimi Olyaei, A. and Ghazavi, M.R., "Stabilizing slider-crank mechanism with clearance joints", Mechanism and Machine Theory,  Vol. 53, (2012), 17-29.

8.     Behzad, M. and Asayesh, M., "Vibration analysis of rotating shaft with loose disk", International Journal of Engineering Transaction B: Applications,  Vol. 15, No. 4, (2002), 385-393.

9.     Flores, P., "A parametric study on the dynamic response of planar multibody systems with multiple clearance joints", Nonlinear Dynamics,  Vol. 61, No. 4, (2010), 633-653.

10.   Sardashti, A., Daniali, H. and Varedi, S., "Optimal free-defect synthesis of four-bar linkage with joint clearance using PSO algorithm", Meccanica,  Vol. 48, No. 7, (2013), 1681-1693.

11.   Korrani, M.A. and Mahani, M.F., "Dynamic analysis of a three-rotor flexible coupling with angular misalignment", International Journal of Engineering-Transactions B: Applications,  Vol. 24, No. 2, (2011), 155-164.

  12.   Dubowsky, S. and Freudenstein, F., "Dynamic analysis of mechanical systems with clearances—part 1: Formation of dynamic model", Journal of Manufacturing Science and Engineering,  Vol. 93, No. 1, (1971), 305-309.

13.   Dubowsky, S. and Freudenstein, F., "Dynamic analysis of mechanical systems with clearances—part 2: Dynamic response", Journal of Manufacturing Science and Engineering,  Vol. 93, No. 1, (1971), 310-316.

14.   Earles, S. and Wu, C., "Motion analysis of a rigid link mechanism with clearance at a bearing using lagrangian mechanics and digital computation", Journal of Mechanisms,  (1973), 83-89.

15.   Grant, S. and Fawcett, J., "Effects of clearance at the coupler-rocker bearing of a 4-bar linkage", Mechanism and Machine Theory,  Vol. 14, No. 2, (1979), 99-110.

16.   Bengisu, M., Hidayetoglu, T. and Akay, A., "A theoretical and experimental investigation of contact loss in the clearances of a four-bar mechanism", Journal of Mechanical Design,  Vol. 108, No. 2, (1986), 237-244.

17.   Lankarani, H. and Nikravesh, P., "A contact force model with hysteresis damping for impact analysis of multibody systems", Journal of Mechanical Design,  Vol. 112, No. 3, (1990), 369-376.

18.   Flores, P. and Ambrósio, J., "Revolute joints with clearance in multibody systems", Computers & Structures,  Vol. 82, No. 17, (2004), 1359-1369.

19.   Flores, P., Ambrosio, J., Claro, J.C.P., Lankarani, H. and Koshy, C., "A study on dynamics of mechanical systems including joints with clearance and lubrication", Mechanism and Machine Theory,  Vol. 41, No. 3, (2006), 247-261.

20.   Schwab, A., Meijaard, J. and Meijers, P., "A comparison of revolute joint clearance models in the dynamic analysis of rigid and elastic mechanical systems", Mechanism and Machine Theory,  Vol. 37, No. 9, (2002), 895-913.

21.   Ting, K.-L., Zhu, J. and Watkins, D., "The effects of joint clearance on position and orientation deviation of linkages and manipulators", Mechanism and Machine Theory,  Vol. 35, No. 3, (2000), 391-401.

22.   Zhu, J. and Ting, K.-L., "Uncertainty analysis of planar and spatial robots with joint clearances", Mechanism and Machine Theory,  Vol. 35, No. 9, (2000), 1239-1256.

23.   Feng, B., Morita, N. and Torii, T., "A new optimization method for dynamic design of planar linkage with clearances at joints—optimizing the mass distribution of links to reduce the change of joint forces", Journal of Mechanical Design,  Vol. 124, No. 1, (2002), 68-73.

24.   Erkaya, S. and Uzmay, I., "Determining link parameters using genetic algorithm in mechanisms with joint clearance", Mechanism and Machine Theory,  Vol. 44, No. 1, (2009), 222-234.

25.   Huang, X. and Zhang, Y., "Robust tolerance design for function generation mechanisms with joint clearances", Mechanism and Machine Theory,  Vol. 45, No. 9, (2010), 1286-1297.

26.   Ambrosio, J., Impact of rigid and flexible multibody systems: Deformation description and contact models, in Virtual nonlinear multibody systems, (2003), Springer, 57-81.





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