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Applied Mathematics and Mechanics (English Edition) ›› 1985, Vol. 6 ›› Issue (9): 879-885.

• 论文 • 上一篇    下一篇

ON EQUIVALENTS OF THE RECIPROCAL THEOREM TO SUPERPOSITION PRINCIPLES

付宝连   

  1. Northeast Heavy Machinary Institute, Heilongjiang
  • 收稿日期:1982-08-21 出版日期:1985-09-18 发布日期:1985-09-18

ON EQUIVALENTS OF THE RECIPROCAL THEOREM TO SUPERPOSITION PRINCIPLES

Fu Bao-lian   

  1. Northeast Heavy Machinary Institute, Heilongjiang
  • Received:1982-08-21 Online:1985-09-18 Published:1985-09-18

摘要： In this paper in the terms of theory we have proved that the reciprocal theorem is equivalent to the superposition principle of displacements and is equivalent to the superposition principle of reactive forces. These equivalents have important theoretical values and practical values. At the same time we also point out that Castigliano's displacement equation can be applied to solve the interior displacement of the region of the deformable body too.

关键词: corrugated diaphragm, large boundary corrugation, nonlinear bending, elastic characteristic, annular plate

Abstract: In this paper in the terms of theory we have proved that the reciprocal theorem is equivalent to the superposition principle of displacements and is equivalent to the superposition principle of reactive forces. These equivalents have important theoretical values and practical values. At the same time we also point out that Castigliano's displacement equation can be applied to solve the interior displacement of the region of the deformable body too.

Key words: corrugated diaphragm, large boundary corrugation, nonlinear bending, elastic characteristic, annular plate

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