等腰三角形板的屈曲

IF 1.4 4区工程技术 Q2 ENGINEERING, AEROSPACE

Aeronautical Journal Pub Date : 1969-07-01 DOI:10.1017/S0001924000052167

J. Lockwood Taylor

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引用次数: 0

摘要

应用我的技术说明对等边三角形和半等边三角形提出的方法得到的等腰三角形的屈曲系数值在某些情况下与数据表02.04.06上给出的值明显不同。引用的技术说明以终止三角级数的形式给出了精确解。当三角形变成等腰时，级数不再终止，而是无穷级数解，在插入边界条件时，给出了屈曲载荷或特征值的无穷行列式。在Univac 1107上计算行列式或足够数量的项的值，得到以下结果，这些结果已转换为数据表02.04.06的表示法。

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Buckling of Isosceles Triangular Plates

Application of a method suggested by my technical note on equilateral and semi-equilateral triangles has yielded values for the buckling coefficients for isosceles triangles which in some cases differ appreciably from those given on Data Sheet 02.04.06. The technical note quoted gives exact solutions in the form of a terminating trigonometrical series. When the triangle becomes isosceles, the series no longer terminates, but the infinite series solution, on insertion of the boundary conditions, gives an infinite determinant for the buckling load or eigenvalue. Evaluation of the determinant, or of a sufficient number of terms, was computed on a Univac 1107, with the following results, which have been converted to the notation of Data Sheet 02.04.06.

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来源期刊

Aeronautical Journal 工程技术-工程：宇航

CiteScore

3.70

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： The Aeronautical Journal contains original papers on all aspects of research, design and development, construction and operation of aircraft and space vehicles. Papers are therefore solicited on all aspects of research, design and development, construction and operation of aircraft and space vehicles. Papers are also welcomed which review, comprehensively, the results of recent research developments in any of the above topics.