THE CATENARY IN SPACE. FREE MOTIONS OF FLEXIBLE LINES.

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Abstract:

The nature and importance of the catenary in space flexible systems in one dimension are discussed. Equations of motion are developed in more complete and universal form than in the literature. The catenary is described by means of a system of four, first-order, quasilinear, hyperbolic, partial differential equations. The special circumstances are treated where the first order system reduces to a standard second order wave equation familiar in the literature. The four characteristics of the hyperbolic system are found and also the vectors which help formulate combination variables suitable for the catenary problem. Some special solutions are presented for interesting catenary motions. A general treatment is formulated in terms of integral equations for the full catenary problem of planar motion with two independent variables and four dependent catenary parameters. Extensions to other novel problems are indicated. Author

Author(s):
Langer, R. M.
Author Organization(s):
BEGE (J R M) CO ARLINGTON MASS
Descriptive Note:
Final scientific rept.,
Supplementary Note:
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Annotation:
The catenary in space. Free motions of flexible lines.
Pagination:
0091

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
6454, AFOSR-64-2517
Contract/Grant Number(s):
AF49 638 1327
Monitor Series:
64-2517
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
(*FLEXIBLE STRUCTURES, MOTION), (*MOTION, FLEXIBLE STRUCTURES), (*FILAMENTS, DEFORMATION), MECHANICAL PROPERTIES, GRAVITY, VELOCITY, PARTIAL DIFFERENTIAL EQUATIONS, INTEGRAL EQUATIONS, VECTOR ANALYSIS, MATRICES(MATHEMATICS)
Report Date:
1964 Dec 01