Generalized Variational Principles for Solutions of Statically Indeterminate Trusses under Mechanical-Thermal-Assembly Loadings
Publication: Journal of Engineering Mechanics
Volume 144, Issue 1
Abstract
This paper presents an extension of an energy-based method for analysis of statically indeterminate trusses under mechanical-thermal-assembly loadings. Using the Lagrange multiplier method, internal forces of statically indeterminate trusses under the effect of mechanical-thermal-assembly loadings are investigated by generalized variational principles. Introducing the Lagrange multipliers and connecting with static equilibrium equations, a new functional from unconditional generalized variational principles is presented. By solving the extremal problem of the new functional, a matrix form of general solutions for internal forces of statically indeterminate trusses is obtained. Compared with the literature results, the accuracy and universality of the present method is confirmed. The results show that it cannot only overcome the defect of compatibility equations by traditional geometry method, but that it also has the advantages of simple process and good generality.
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Acknowledgments
The research was supported by the Natural Science Foundation of China (No. 11602036) and the Scientific Research Foundation of Changzhou University (No. ZMF14020058).
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Published In
Journal of Engineering Mechanics
Volume 144 • Issue 1 • January 2018
Copyright
©2017 American Society of Civil Engineers.
History
Received: Apr 6, 2017
Accepted: Jul 10, 2017
Published online: Oct 28, 2017
Published in print: Jan 1, 2018
Discussion open until: Mar 28, 2018
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