Skip to main content

Deformation of Thin-Walled Structures in Assemble Process with Absolute Nodal Coordinate Formulation

  • Conference paper
  • First Online:
Intelligent Robotics and Applications (ICIRA 2015)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9245))

Included in the following conference series:

  • 4145 Accesses

Abstract

The assemble precision of thin-walled structures are very important in engineering, which affects the performance of the mechanism. Large rotations are easy to occur in these structures during assembling process due to their geometric features. So it is necessary to establish a precise model of the thin-walled structure to predict its deformation. In this study, the absolute nodal coordinate formulation (ANCF) method is used to describe initial curved thin-walled structure and to study the compatibility of deformation of thin-walled structures during assembling process. A four-node shell element of ANCF with 48DOFs is employed to discrete the thin-walled structure. The vector of the element elastic forces and the stiffness matrix are derived based on continuum mechanics. Static deformation tests of a cantilever plate and the modal analysis of free square plate are used to validate the formulations for the plate element of ANCF. The statics equilibrium equations are deduced and the compatibility of deformation of two thin-walled structures is investigated.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Shabana, A.A.: An Absolute Nodal Coordinate Formulation for the Large Rotation and Deformation Analysis of Flexible Bodies. Technical Report #MBS96-1-UIC, Department of Mechanical Engineering, University of Illinois at Chicago (1996)

    Google Scholar 

  2. Shabana, A.A., Christensen, A.P.: Three-dimensional absolute nodal co-ordinate formulation: plate problem. International journal for numerical methods in engineering 40(15), 2775–2790 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  3. Mikkola, A.M., Shabana, A.A.: A non-incremental finite element procedure for the analysis of large deformation of plates and shells in mechanical system applications. Multibody System Dynamics 9(3), 283–309 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  4. Dmitrochenko, O.N., Pogorelov, D.Y.: Generalization of plate finite elements for absolute nodal coordinate formulation. Multibody System Dynamics 10(1), 17–43 (2003)

    Article  MATH  Google Scholar 

  5. Dufva, K., Shabana, A.A.: Analysis of thin plate structures using the absolute nodal coordinate formulation. Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics 219(4), 345–355 (2005)

    Article  Google Scholar 

  6. Matikainen, M.K., Schwab, A.L., Mikkola, A.M.: Comparison of two moderately thick plate elements based on the absolute nodal coordinate formulation. Multibody Dynamics (2009)

    Google Scholar 

  7. Mikkola, A.M., Matikainen, M.K.: Development of elastic forces for a large deformation plate element based on the absolute nodal coordinate formulation. Journal of computational and nonlinear dynamics 1(2), 103–108 (2006)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Haidong Yu .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Yu, H., Zhao, C., Zhao, Y., Wang, H., Lai, X. (2015). Deformation of Thin-Walled Structures in Assemble Process with Absolute Nodal Coordinate Formulation. In: Liu, H., Kubota, N., Zhu, X., Dillmann, R., Zhou, D. (eds) Intelligent Robotics and Applications. ICIRA 2015. Lecture Notes in Computer Science(), vol 9245. Springer, Cham. https://doi.org/10.1007/978-3-319-22876-1_54

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-22876-1_54

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-22875-4

  • Online ISBN: 978-3-319-22876-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics