SpringerLink
Log in

Calculation of elastic error of planar mechanism-an equivalent method

  • Published:
Journal of Central South University of Technology Aims and scope Submit manuscript

Abstract

In rigid mechanism dynamic analysis, the equivalence theorem is often used due to its simplicity and perceivability. Based on conjugation and duality between inertia energy-storing element and elastic energy-storing element, the equivalence theorem is used in elastic error analysis of planar mechanism. A set of calculation formula of elastic error is introduced, and these equations are similar in expression form to the rigid dynamic equation. To demonstrate the method developed, a computation example is given.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Shi Zechang, Liu Shenhou. Mechanism accuracy (in Chinese). Bei**g: High Education Publishing House, 1995. 7

    Google Scholar 

  2. Ye Qigen, Zhu Fengshi, Huang Jiaxian. Mechanism accuracy. **’an: Northwest College of Telecommunication Engineering Press, 1983

    Google Scholar 

  3. Zhang Ce. Optimum design of flexible mechanisms. Trans ASME J Mech Transmis Automat Des, 1983, 105(2):267–272

    Google Scholar 

  4. Cleghorn W L, Fenton R G. Optimum design of high-speed flexible mechanisms. Mech Mach Theory, 1981, 16(4):399–406

    Article  Google Scholar 

  5. Dubowsky S, Frudenstain F. The dynamic modeling of flexible spacial machine system with clearance connection. Trans ASME J Mech Transmis Automat Des, 1987, 109: 87–94

    Google Scholar 

  6. Tan **kuan, ** Dewen. Dynamics of machinery (in Chinese). Bei**g: Higher Education Publishing House, 1983

    Google Scholar 

  7. Rosenberg R C, Karnopp D C. Introduction to physical system dynamics. McGraw-Hill Book Company, 1983

  8. Lin Psang Dain, Chen Jenfu. Accuracy analysis of planar linkages by the matrix method. Mech Mach Theory, 1992, 5(27):507–516

    Article  Google Scholar 

  9. Chatterjee G B, Mallik A K. Mechanical error of a four-bar linkage coupler curve. Mech Mach Theory, 1987, 1(2):85–88

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. College of Mechanical and Electrical Engineering, Central South University of Technology, 410083, Changsha, China

    Wang Ailun, Zhong Jue & Chang Tiegang

Authors
  1. Wang Ailun
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zhong Jue
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Chang Tiegang
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Project supported by the National Natural Science Foundation of China

Synopsis of the first author Wang Ailun, associate professor, born in Dec. 1959, majoring in dynamics of machinery and mechanism theory.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wang, A., Zhong, J. & Chang, T. Calculation of elastic error of planar mechanism-an equivalent method. J Cent. South Univ. Technol. 6, 56–58 (1999). https://doi.org/10.1007/s11771-999-0034-2

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11771-999-0034-2

Key words

Search

Navigation