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Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (9): 815-829.

• 论文 • 上一篇    下一篇

ON THE INVERSE PROBLEM IN CALCULUS OF VARIATIONS

梁立孚, 石志飞   

  1. Hurbin Shiphuilding Enginieering Institule, Harbin
  • 收稿日期:1994-04-01 出版日期:1994-09-18 发布日期:1994-09-18

ON THE INVERSE PROBLEM IN CALCULUS OF VARIATIONS

Liang Li-fu, shi zhi-fei   

  1. Hurbin Shiphuilding Enginieering Institule, Harbin
  • Received:1994-04-01 Online:1994-09-18 Published:1994-09-18

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摘要： The inverse problem in calculus of variation is studied. By introducing a newconcept called Varialional Integral, a new method to systematically study the inverseproblem in calculus of rariations is given. Using this new method to the elastodynamicsand hydrodynamics of viscous fhuids some kinds of variaiional principles andgeneralized variational prineiples are obtained respectively.

关键词: uncertain structures, response, reliability, generalizedprobabilistic perturbation method, variational princple, variational integral, inverse problem

Abstract: The inverse problem in calculus of variation is studied. By introducing a newconcept called Varialional Integral, a new method to systematically study the inverseproblem in calculus of rariations is given. Using this new method to the elastodynamicsand hydrodynamics of viscous fhuids some kinds of variaiional principles andgeneralized variational prineiples are obtained respectively.

Key words: uncertain structures, response, reliability, generalizedprobabilistic perturbation method, variational princple, variational integral, inverse problem

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