This article is cited in 2 papers

An approximation of the form of a compressed flexible rod

N. S. Astapov

Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090

Abstract: A compact algorithm is proposed for exact calculation of the coordinates of the plane elastic line of an axially compressed flexible rod under any loads. Refined approximate formulas are obtained for calculation of the coordinates of the elastic line with an error not greater than 1% of the rod length even for loads which exceed the critical Euler load by 30%.

UDC: 539.3

Received: 23.06.1997

 English version: Journal of Applied Mechanics and Technical Physics, 1999, 40:3, 535–538

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