Journal
APPLIED MATHEMATICS LETTERS
Volume 72, Issue -, Pages 65-69Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2017.04.008
Keywords
Hamilton principle; Variational principle; Initial-value problem; Lagrange multiplier; The semi-inverse method
Categories
Funding
- PAPD (Priority Academic Program Development of Jiangsu Higher Education Institutions)
- National Natural Science Foundation of China [10972053]
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There exists NO classical variational principle for continuum dynamics so far. The well-known Hamilton's principle is valid only for the conditions prescribed at the beginning and at the end of the motion and is therefore useless to deal with the usual initial-boundary condition problems. In this paper an exact classical variational theory is established, all initial conditions are converted into natural ones, furthermore, all natural final conditions automatically meet the physical requirements, leading to a vital innovation of Hamilton's principle. (C) 2017 Elsevier Ltd. All rights reserved.
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