Eigenoscillations of an elastic cable-Reference-Cited by-同舟云学术

Eigenoscillations of an elastic cable

Published:1959 Issue:2 Volume:17 Page:147-154
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Laasonen Pentti

Abstract

The eigenoscillations of a cable, supported at its end points, in a homogeneous gravitational field is investigated under the assumption that the bending stiffness is negligible but the behavior with respect to tension stresses is perfectly elastic. The problem involves two coupled second order equations and one independent second order equation; it is shown to be definitely self-adjoint and an iterative method for its solution is suggested.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1959-17-02/S0033-569X-1959-0107409-5/S0033-569X-1959-0107409-5.pdf

Reference3 articles.

1. A boundary value problem for a system of ordinary linear differential equations of the first order;Bliss, Gilbert Ames;Trans. Amer. Math. Soc.,1926

2. Definitely self-adjoint boundary value problems;Bliss, Gilbert A.;Trans. Amer. Math. Soc.,1938

3. Bemerkung zur iterativen Lösung der Eigenwertaufgabe einer Vektordifferentialgleichung;Laasonen, Pentti;Ann. Acad. Sci. Fenn. Ser. A. I.,1956

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The elastic frequencies of cables;Journal of Sound and Vibration;1988-01

2. The Hybrid Dissolution of a Double Eigenvalue;Numerical Treatment of Eigenvalue Problems Vol.4 / Numerische Behandlung von Eigenwertaufgaben Band 4;1987