Applied Mathematics and Mechanics (English Edition) ›› 1982, Vol. 3 ›› Issue (3): 353-364.

• 论文 • 上一篇    下一篇

APPLICATIONS OF THE RECIPROCAL THEOREM TO SOLVING THE EQUATIONS OF THE DEFLECTION SURFACE OF THE RECTANGULAR PLATES WITH VARIOUS EDGE CONDITIONS

付宝连   

  1. Northeast Heavy Machinery Institute
  • 收稿日期:1981-11-10 出版日期:1982-05-18 发布日期:1982-05-18

APPLICATIONS OF THE RECIPROCAL THEOREM TO SOLVING THE EQUATIONS OF THE DEFLECTION SURFACE OF THE RECTANGULAR PLATES WITH VARIOUS EDGE CONDITIONS

Fu Bao-lian   

  1. Northeast Heavy Machinery Institute
  • Received:1981-11-10 Online:1982-05-18 Published:1982-05-18

摘要: This paper points out that on certain condition the reciprocal theorem is equivalent to the superposition principle of displacements. On the basis of [6], applications of the reciprocal theorem are further extended; a convenient, general and new method for solving the equations of deflection surface of the rectangular plates and the straight beams with various edge conditions under various loads is pie-sented.

关键词: mixing layers, coherent structures, FENE-P model, pseudo-spectral method

Abstract: This paper points out that on certain condition the reciprocal theorem is equivalent to the superposition principle of displacements. On the basis of [6], applications of the reciprocal theorem are further extended; a convenient, general and new method for solving the equations of deflection surface of the rectangular plates and the straight beams with various edge conditions under various loads is pie-sented.

Key words: mixing layers, coherent structures, FENE-P model, pseudo-spectral method

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