Approximate Formulas for Sagging Deflection of an Elastic Rod under Transverse Loading

被引：4

作者：

Yu. V. Zakharov

K. G. Okhotkin

A. Yu. Vlasov

机构：

[1] Kirenskii Institute of Physics,

[2] Siberian Division,undefined

[3] Russian Academy of Sciences,undefined

[4] Siberian State Technology University,undefined

来源：

Journal of Applied Mechanics and Technical Physics | 2002年 / 43卷 / 5期

关键词：

Mathematical Modeling; Mechanical Engineer; Industrial Mathematic; Series Expansion; Elementary Function;

D O I：

10.1023/A:1019852222357

中图分类号：

学科分类号：

摘要：

Sagging deflection of a thin elastic rod under transverse loading is expressed approximately in terms of elementary functions. Series expansions of the complete and incomplete elliptic integrals of the first and second kind in the neighborhood of k2 = 1/2 are obtained.

引用

页码：745 / 747

页数：2

共 5 条

[1] Astapov N. S.(1996)Approximate formulas for defections of compressed flexible bars J. Appl. Mech. Tech. Phys. 37 573-576
[2] Astapov N. S.(1999)An approximation of the form of a compressed flexible rod J. Appl. Mech. Tech. Phys. 40 535-538
[3] Anfilof'ev A. V.(2001)Mid-span defection and end shortening of a rod after buckling J. Appl. Mech. Tech. Phys. 42 352-357
[4] Zakharov Y. V.(1999)Dynamic instability in the nonlinear problem of a cantilever Vychisl. Tekh. 4 48-54
[5] Zakharenko A. A.(undefined)undefined undefined undefined undefined-undefined

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