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.
Similar content being viewed by others
References
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)
Cheng Xian-sheng, Mechanics and Practice, 1, 1 (1979). 46–47. (in Chinese)
Chien Wei-zang, On generalized variational principles in elasticity with applications in problems of plates and shells (1964). (in Chinese)
Chien Wei-zang, Mechanics and Practice, 1, 1 (1979), 16–24; 1, 2 (1979), 18–27. (in Chinese)
Washizu. K., Variational Methods in Elasticity and Plasticity, Pergamon, London (1968).
Washizu, K., Introduction of the Theory of Energy, Pei Feng Publ. House (1970), (in Japanese)
Pian, T. H., Tong, Pin., Finite element method in continuum mechanics, Adv. in App. Mec., 12 (1972), 1–53.
Hsuch Dah-wei, Scientific Information, 20, 4 (1975), 81.
Przemieniecki, J. S., Theory of Matrix Structural Analysis, McGraw-Hill Book Com. (1968).
Fikhtengolets, G. M., Course of Differential and Integral Calculus, Vol. I, National technical publishing house, Moscow-Leningrad, (1949). (in Russian)
Chien Wei-zang, Calculus of Variation and the Finite Element Method, Vol. 1, Science Publishing House (1980). (in Chinese)
Author information
Authors and Affiliations
Additional information
Communicated by Chien Wei-zang.
Rights and permissions
About this article
Cite this article
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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF03250489