|
Online ISSN 1552-4485; Print ISSN 0033-569X
Eigenoscillations of an elastic cable
Author:
Pentti Laasonen
Journal:
Quart. Appl. Math. 17 (1959), 147-154
MSC:
Primary 73.00
DOI:
https://doi.org/10.1090/qam/107409
MathSciNet review:
107409
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
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.
- Gilbert Ames Bliss, A boundary value problem for a system of ordinary linear differential equations of the first order, Trans. Amer. Math. Soc. 28 (1926), no. 4, 561–584. MR 1501366, DOI https://doi.org/10.1090/S0002-9947-1926-1501366-0
- Gilbert A. Bliss, Definitely self-adjoint boundary value problems, Trans. Amer. Math. Soc. 44 (1938), no. 3, 413–428. MR 1501974, DOI https://doi.org/10.1090/S0002-9947-1938-1501974-5
- Pentti Laasonen, Bemerkung zur iterativen Lösung der Eigenwertaufgabe einer Vektordifferentialgleichung, Ann. Acad. Sci. Fenn. Ser. A. I. 230 (1956), 8 pp. (1957) (German). MR 94512
Retrieve articles in Quarterly of Applied Mathematics with MSC: 73.00
Retrieve articles in all journals with MSC: 73.00
Additional Information
Article copyright:
© Copyright 1959
American Mathematical Society