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Optimization for Workspace Volume of 3R Robot Manipulator Using Modified Differential Evolution

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6466))

Abstract

Robotic manipulators with three-revolute (3R) family of positional configurations are very common in the industrial robots (IRs). The manipulator capability of a robot largely depends on the workspace (WS) of the manipulator apart from other parameters. With the constraints in mind, the optimization of the workspace is of prime importance in designing the manipulator. The workspace of manipulator is formulated as a constrained optimization problem with workspace volume as objective function. It is observed that the previous literature is confined to use of conventional soft computing algorithms only, while a new search modified algorithm is conceptualized and proposed here to improve the computational time. The proposed algorithm gives a good set of geometric parameters of manipulator within the applied constrained limits. The availability of such an algorithm for optimizing the workspace is important, especially for highly constrained environments. The efficiency of the proposed approach to optimize the workspace of 3R manipulators is exhibited through two cases.

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References

  1. Gupta, K.C., Roth, B.: Design considerations for manipulator workspace. Journal of Mechanical Design 104, 704–711 (1982)

    Article  Google Scholar 

  2. Bergamaschi, P.R., Nogueira, A.C., Saramago, S.F.P.: Design and optimization of 3R manipulators using the workspace features. Applied Mathematics and Computation 172(1), 439–463 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  3. Ceccarelli, M.: A formulation for the workspace boundary of general Nrevolute manipulators. Mechanism and Machine Theory 31(5), 637–646 (1996)

    Article  Google Scholar 

  4. Lanni, C., Saramago, S.F.P., Ceccarelli, M.: Optimal design of 3R manipulators using classical techniques and simulated annealing. Revista Brasileira de Ciências Mecânicas 24(4), 293–301 (2002)

    Google Scholar 

  5. Wenger: Some guidelines for the kinematic design of new manipulators. Mechanism and Machine Theory 35, 437–449 (2000)

    Article  MATH  Google Scholar 

  6. Ceccarelli, M., Lanni, C.: A multi-objective optimum design of general 3R manipulators for prescribed workspace limits. Mechanism and Machine Theory 39, 119–132 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  7. Bergamaschi, P.R., Nogueira, A.C., Saramago, S.F.P.: Design and optimization of 3R manipulators using the workspace features. Applied Mathematics and Computation 172(1), 439–463 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  8. Beer, F.P., Johnston Jr., E.R.: Vector Mechanics for Engineers: Statics and Dynamics, 3rd edn. Mc Graw Hill, New York (1977)

    Google Scholar 

  9. Price, K., Storn, R.: Differential Evolution – A simple evolution strategy for fast optimization. Bob’s Journal 22(4), 18–24 (1997)

    MATH  Google Scholar 

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© 2010 Springer-Verlag Berlin Heidelberg

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Biswal, B.B., Panda, S., Mishra, D. (2010). Optimization for Workspace Volume of 3R Robot Manipulator Using Modified Differential Evolution. In: Panigrahi, B.K., Das, S., Suganthan, P.N., Dash, S.S. (eds) Swarm, Evolutionary, and Memetic Computing. SEMCCO 2010. Lecture Notes in Computer Science, vol 6466. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17563-3_14

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  • DOI: https://doi.org/10.1007/978-3-642-17563-3_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-17562-6

  • Online ISBN: 978-3-642-17563-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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