ON THE RESTRICTED TORSION OF NARROW RECTANGULAR CROSS SECTION BY KIRCHHOFF’S THIN PLATE THEORY

Applied Mathematics and Mechanics (English Edition) ›› 1982, Vol. 3 ›› Issue (4): 507-520.

ON THE RESTRICTED TORSION OF NARROW RECTANGULAR CROSS SECTION BY KIRCHHOFF’S THIN PLATE THEORY

张福范

Qinghua University, Beijing

收稿日期:1982-01-06 出版日期:1982-07-18 发布日期:1982-07-18

ON THE RESTRICTED TORSION OF NARROW RECTANGULAR CROSS SECTION BY KIRCHHOFF’S THIN PLATE THEORY

Chang Fo-van

Qinghua University, Beijing

Received:1982-01-06 Online:1982-07-18 Published:1982-07-18

摘要/Abstract

摘要： Kirchhoff’s thin plate theory is used to solve the restricted torsion of narrow rectangular cross section as this problem is equivalent to the bending of a rectangular cantilever plate by a twisting moment at the free end. The results obtained not only prove the angle of twist obtained by Prof. Timoshenko using the energy method put give us stresses.

关键词: variational inclusion, accretive mapping, Mann(Ishikawa) iterative sequence with errors

Abstract: Kirchhoff’s thin plate theory is used to solve the restricted torsion of narrow rectangular cross section as this problem is equivalent to the bending of a rectangular cantilever plate by a twisting moment at the free end. The results obtained not only prove the angle of twist obtained by Prof. Timoshenko using the energy method put give us stresses.

Key words: variational inclusion, accretive mapping, Mann(Ishikawa) iterative sequence with errors

张福范. ON THE RESTRICTED TORSION OF NARROW RECTANGULAR CROSS SECTION BY KIRCHHOFF’S THIN PLATE THEORY[J]. Applied Mathematics and Mechanics (English Edition), 1982, 3(4): 507-520.

Chang Fo-van. ON THE RESTRICTED TORSION OF NARROW RECTANGULAR CROSS SECTION BY KIRCHHOFF’S THIN PLATE THEORY[J]. Applied Mathematics and Mechanics (English Edition), 1982, 3(4): 507-520.

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ON THE RESTRICTED TORSION OF NARROW RECTANGULAR CROSS SECTION BY KIRCHHOFF’S THIN PLATE THEORY

ON THE RESTRICTED TORSION OF NARROW RECTANGULAR CROSS SECTION BY KIRCHHOFF’S THIN PLATE THEORY

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