Skip to main content
SpringerLink
Log in

Numerical method in dynamic response of nonlinear systems

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

A kind of modal synthesis techniques, which is applicable to vibration analysis for linear substructures with nonlinear coupling attachments, has been extended to nonlinear dynamic analysis of large complex structural systems[9]. In this paper, a process is suggested to dynamic analysis of large complex structural systems with nonlinear characteristics of each substructure. At the end of this paper, an example shows the defendable accuracy of the results and high efficiency of this process.

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

Access this article

Log in via an institution

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. Hurty, W. C., Vibration of structural systems by component mode synthesis,Journal of the Engineering Mechanics Division, ASCE,86, (Aug. 1960, 51–669.

    Google Scholar 

  2. Hurty, W. C., Dynamic analysis of structural systems using component modes.AIAA J. 3, (April 1965), 678–685.

    Google Scholar 

  3. Craig R. R. and Ching-Jone Chang, Free-interface methods of substructure coupling for dynamic analysis.AIAA. J. 14, 11, (1976), 1633.

    Google Scholar 

  4. Wang Wen-liang, Du Zuo-run and Cheng Kang-yuan, Review of modal synthesis methods and a new improvement,Acta Aeronautica Et Astronautica Sinica, 3, (1979) (in Chinese)

  5. Hu Hai-chang, Natural vibrations of a large number of degrees of freedom system (Constraint Mode Method),Acta Aeronautica Et Astronautica Sinica, 2, (1980) (in Chinese)

  6. Zhu. D, Improved substructure method for structural dynamic analysis, AIAA paper 81-0622, Presented atAIAA Dynamics Specialists' Conference, Atlanta, GA (1981).

  7. Zheng Zhao-chang, The study on vibration of complex structure systems by Component Mode Synthesis Techniques,Journal of Vibration and Shock 1, 1 (1982) (in Chinese)

    Google Scholar 

  8. Xing Jing-tang and Zheng Zhao-chang, A study of mode synthesis methods based on variational principles for dynamic elasticity,Acta Mechanica Solida Simca 2 (1983) (in Chinese)

  9. Zheng Zhao-chang, Dynamic analysis of nonlinear systems by modal synthesis techniques,Applied Mathematics and Mechanics 4, 4 (Aug (1983) Presented at Symposium on Modal Analysis and Signal Processing (Vibration) Held at Shanghai, China (May 1982)

    Google Scholar 

  10. Bathe K. J. and E. L. Wilson,Numerical Methods in Finite Element Analysis, Prentice-Hall, Inc.

  11. Argyris, J. N., et al., Numerical solution of transient nonlinear problems,Computer Methods in Applied Mechanics and Engineering,17/18, part II/Feb, (1979).

Download references

Author information

Authors and Affiliations

  1. Tsinghua University, Beijing

    Zheng Zhao-chang & Tan Ming-yi

Authors
  1. Zheng Zhao-chang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Tan Ming-yi
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by Chien Wei-zang.

This paper was collected in Proceedings of Symposium on Nonlinear Mechanics, Vol. IV, 1982, Wuxi, China (in Chinese).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhao-chang, Z., Ming-yi, T. Numerical method in dynamic response of nonlinear systems. Appl Math Mech 6, 93–101 (1985). https://doi.org/10.1007/BF01895687

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01895687

Keywords

Search

Navigation