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عدد المساهمات : 18928 التقييم : 35294 تاريخ التسجيل : 01/07/2009 الدولة : مصر العمل : مدير منتدى هندسة الإنتاج والتصميم الميكانيكى
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أخواني في الله أحضرت لكم كتاب بحث بعنوان Analytical and Graphical Optimal Synthesis of Crank-Rocker Four Bar Mechanisms for Achieving Targeted Transmission Angle Deviations Sabry El-Shakery, Rokaya Ramadan, Khaled Khader Production Engineering and Mechanical Design Department, Faculty of Engineering, Menoufia University, Egypt
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Abstract This paper presents a detailed methodology to optimally synthesize links' lengths of planar Crank-Rocker (C-R) mechanism to achieve a targeted design with definite transmission angle deviation. Analytical and graphical proposed methodologies are applied to three different case studies; each satisfies a definite case (task). The analytical methodology is based on deducing six design equations with equality constraints, which represent relations between the desired case conditions and the mechanism's lengths. Meanwhile, deflection and transmission angles; the time ratio limits or output angular stroke can be easily obtained. Furthermore, optimal synthesized results can fulfil any definite case requirements which can be represented using the corresponding six deduced equations. The optimal charts are presented to quickly obtain the optimal (C-R) mechanism's lengths, which are achieving the targeted transmission angles deviations. Consequently, the designers can easily select optimal synthesized crank-rocker mechanisms' lengths, instead of time consuming of optimization calculations. Also, this paper presented a fast-graphical methodology to directly obtain an optimal synthesized (C-R) mechanism's lengths. This methodology requires only identifying the design case related to the chosen mechanism class and the desired transmission angle deviations through giving the minimum and maximum transmission angles (γmin and γmax). Moreover, a direct relation between the mini-max transmission angle deviations, the (C-R) mechanisms classes and the performance parameters can be presented. Hence, this facilitates the specialists' mission in designing (C-R) mechanisms for special uses as driving conveying, screening and shaking mechanisms. Conclusion This work proposed a detailed analytical methodology in addition to a fast-graphical methodology to optimally synthesize lengths' proportions of planar crank-rocker mechanism in order to accomplish targeted design with a definite transmission angle deviation. The analytical methodology deals with deducing six design equality constraint equations that satisfy three case studies. The discussion of the presented results reveals that the optimal synthesized (C-R) mechanisms are classified into three classes according to the three case studies for achieving targeted definite transmission angle deviations. The direct relation between the mini-max transmission angle deviations and the (C-R) mechanisms classes in addition to their six performance parameters are be presented. If and only if the (C-R) mechanism's lengths verify the desired case conditions, the six deduced design constraint equality equations can be verified. The obtained optimal results using the presented methodology are concurring with those introduced in the previous literature using different approaches. On the other hand, the suggested graphical synthesis methodology can be carried out to directly construct such optimal (C-R) mechanism's lengths. This graphical method is based on only choosing the design case related to the selected class of (C-R) mechanism beside the desired transmission angle deviations through giving the minimum and the maximum transmission angles in order to achieve an optimal synthesized crank-rocker mechanism's lengths. The optimal charts are introduced to directly obtain the optimal (C-R) mechanism's lengths, which are achieving the targeted transmission angles deviations. Therefore, the designer can easily select optimal synthesized crank-rocker mechanisms' lengths which can be employed in several industrial applications. These applications may include using (C-R) mechanisms associated with a desired equal deviation of mini-max transmission angle for achieving vibrating motions in sieve conveyors. Also, these kinds of mechanisms with time ratio greater than one can be used for generating a required quick-return motion for shaper machines and the mechanisms with time ratio less than one can be used for generating a positive sliding stage of a conveyed mechanism and increasing the conveying capacity.
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