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Geometric, Kinematic and Dynamic Analysis of Four Degrees of Freedom Manipulating Robot, Using Methods of Nonlinear Programming

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New Advances in Mechanisms, Transmissions and Applications

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 17))

Abstract

This article considers the five-link spatial mechanism of manipulating robot with revolute and prismatic kinematic pairs. It is shown that making geometric analysis using classical methods is not rational. This article presents a numerical method of geometric analysis, kinematic and dynamic calculations of a mechanism.

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References

  1. Ceccarelli, M.: The Challenges for Machine and Mechanism Design at the Beginning of the Third Millennium as Viewed from the Past. In: Proceedings of Brazilian Congress on Mechanical Engineering COBEM 2001, Uberlandia, Invited Lecture, pp. 132–151 (2001)

    Google Scholar 

  2. Deakin, I.: The method of interior points in the linear and nonlinear programming, 120 p. KRASAND, Moscow (2010) (in Russian)

    Google Scholar 

  3. Evgrafov, A., Kolovsky, M., Petrov, G.: Theory of Mechanisms and Machines, 248 p. Publishing House of SPbSPU, St. Petersburg (2009) (in Russian)

    Google Scholar 

  4. Hartenberg, R.S., Denavit, J.: Kinematic synthesis of linkages. McGraw-Hill series in mechanical engineering, 435 p. McGraw-Hill, New York (1965)

    Google Scholar 

  5. Recktenwald, G.W.: Introduction to Numerical Methods and MATLAB: Implementations and Applications. Prentice Hall (2001) ISBN: 0201308606

    Google Scholar 

  6. Kolovsky, M.Z., Evgrafov, A.N., Semenov, Y.A., Slousch, A.V.: Advanced Theory of Mechanisms and Machines, 396 p. Springer (2000)

    Google Scholar 

  7. Chapman, S.J.: MATLAB (r) Programming for Engineers. Brooks / Cole Pub. Co. (1999) ISBN: 0534951511

    Google Scholar 

  8. Petuya, V., Alonso, A., Pinto, C., Altuzarra, O., Hernandez, A.: A new general-purpose method to solve the forward position problem in parallel manipulators. Advances Robotics 22, 395–409 (2008)

    Article  Google Scholar 

  9. Solomentsev, Y., Zhukov, K., Pavlov, Y., et al.: Industrial robots in machine engineering: Album of plans and designs, Moscow, 140 p. (1986) (in Russian), Edited by Solomentsev, Y.

    Google Scholar 

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Correspondence to A. Evgrafov .

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Evgrafov, A., Kornishov, A. (2014). Geometric, Kinematic and Dynamic Analysis of Four Degrees of Freedom Manipulating Robot, Using Methods of Nonlinear Programming. In: Petuya, V., Pinto, C., Lovasz, EC. (eds) New Advances in Mechanisms, Transmissions and Applications. Mechanisms and Machine Science, vol 17. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-7485-8_41

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  • DOI: https://doi.org/10.1007/978-94-007-7485-8_41

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-7484-1

  • Online ISBN: 978-94-007-7485-8

  • eBook Packages: EngineeringEngineering (R0)

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