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The generalized variational principles with their applications in structural analysis

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Abstract

This paper will discuss the generalized variational principles, which are established by the method of undetermined multipliers in structures, and analyze the statically indeterminate truss, in which these principles will be used. At the same time we bring a symmetrical matrix and give specific solution, thus all the internal forces of structures may be found.

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References

  1. Cheng Xian-sheng, The method of undetermined multipliers applied to finding problems of statically indeterminate structures of rod systems, Articles of Society of Mechanics in Kiangsu Province (1964). (in Chinese)

    Google Scholar 

  2. Cheng Xian-sheng, Mechanics and Practice, 1, 1 (1979). 46–47. (in Chinese)

    Google Scholar 

  3. Chien Wei-zang, On generalized variational principles in elasticity with applications in problems of plates and shells (1964). (in Chinese)

    Google Scholar 

  4. Chien Wei-zang, Mechanics and Practice, 1, 1 (1979), 16–24; 1, 2 (1979), 18–27. (in Chinese)

    Google Scholar 

  5. Washizu. K., Variational Methods in Elasticity and Plasticity, Pergamon, London (1968).

    MATH  Google Scholar 

  6. Washizu, K., Introduction of the Theory of Energy, Pei Feng Publ. House (1970), (in Japanese)

    Google Scholar 

  7. Pian, T. H., Tong, Pin., Finite element method in continuum mechanics, Adv. in App. Mec., 12 (1972), 1–53.

    Article  Google Scholar 

  8. Hsuch Dah-wei, Scientific Information, 20, 4 (1975), 81.

    Google Scholar 

  9. Przemieniecki, J. S., Theory of Matrix Structural Analysis, McGraw-Hill Book Com. (1968).

    MATH  Google Scholar 

  10. Fikhtengolets, G. M., Course of Differential and Integral Calculus, Vol. I, National technical publishing house, Moscow-Leningrad, (1949). (in Russian)

    Google Scholar 

  11. Chien Wei-zang, Calculus of Variation and the Finite Element Method, Vol. 1, Science Publishing House (1980). (in Chinese)

    Google Scholar 

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Communicated by Chien Wei-zang.

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Xiang-sheng, C. The generalized variational principles with their applications in structural analysis. Applied Mathematics and Mechanics 6, 681–690 (1985). https://doi.org/10.1007/BF03250489

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  • DOI: https://doi.org/10.1007/BF03250489

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