Skip to main content
SpringerLink
Log in

On principle of stationary mutual complementary energy and its application to optimal structural design

  • Original Papers
  • Published:
Zeitschrift für angewandte Mathematik und Physik ZAMP Aims and scope Submit manuscript

Résumé

Un principe d'énergie mutuelle, complémentaire et stationnaire est établi pour une poutre élastique sous l'influence de deux systèmes de charge. Grâce à ce principe d'énergie stationnaire, la condition nécessarire et suffisante pour une optimisation locale peut être dérivée pour les problèmes de construction de poutres statiquement indéterminées avec une flèche minimale, le poids total et les contraintes étant prescrits. La condition d'optimisation ainsi dérivée est appliquée au problème de flèche centrale minimale pour une poutre ≪sandwich≫ encastrée aux deux extrémités et soumise à l'action d'une charge uniformément répartie.

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

References

  1. R. L. Barnett,Minimum-Weight Design of Beams for Given Deflection., Transaction ASCE128/1, 221 (1963).

    Google Scholar 

  2. E. J. Haug, Jr. andP. G. Kirmser,Minimum-Weight Design of Beams with Inequality Constraints on Stress and Deflection, J. appl. Mech.34, 999 (1967).

    Google Scholar 

  3. N. C. Huang andH. T. Tang,Minimum-Weight Design of Elastic Sandwich Beams with Deflection Constraints, J. optim. Theory and Applicat.4, 277 (1969).

    Google Scholar 

  4. R. T. Shield andW. Prager,Optimal Structural Design for Given Deflection, ZAMP21, 513 (1970).

    Google Scholar 

  5. H. C. Hu,On Some Variational Principle in the Theory of Elasticity and the Theory of Plasticity, Scientia Sinica4, 33 (1955).

    Google Scholar 

  6. N. C. Huang andC. Y. Sheu,Optimal Design of Elastic Circular Sandwich Beams for Minimum Compliance, J. appl. Mech.37, 569 (1970).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept. of Aerospace and Mechanical Engineering, University of Notre Dame, 46556, Notre Dame, Indiana, USA

    Nai-Chien Huang

Authors
  1. Nai-Chien Huang
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This research was supported by the University of Notre Dame.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Huang, NC. On principle of stationary mutual complementary energy and its application to optimal structural design. Journal of Applied Mathematics and Physics (ZAMP) 22, 608–620 (1971). https://doi.org/10.1007/BF01614003

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01614003

Keywords

Search

Navigation