Closed-Form Analysis for Elastic Deformations of Multilayered Strands

1987 ◽  
Vol 54 (4) ◽  
pp. 898-903 ◽  
Author(s):  
K. Kumar ◽  
J. E. Cochran
Keyword(s):  
Closed Form ◽  
Elastic Deformation ◽  
Design Criterion ◽  
Deformation Characteristics ◽  
Simple Design ◽  
Elastic Deformations ◽  
Form Analysis ◽  
Closed Form Solutions ◽  
Analytical Results ◽  
Torsional Loads

Closed-form solutions are developed for elastic deformation characteristics of multilayered strands under tensile and torsional loads. These analytical results are successfully applied to obtain expressions for the effective extensional and torsional moduli of rigidity for the strands. Finally, a simple design criterion is established for “nonrotating” cables.

Closed-Form Vibration Analysis of Sagged Cable/Mass Suspensions

1992 ◽  
Vol 59 (4) ◽  
pp. 923-928 ◽  
Author(s):  
S.-P. Cheng ◽  
N. C. Perkins
Keyword(s):  
Free Vibration ◽  
Closed Form ◽  
Vibration Analysis ◽  
Asymptotic Form ◽  
Three Dimensional ◽  
Free Vibration Analysis ◽  
Asymptotic Model ◽  
Form Analysis ◽  
Closed Form Solutions ◽  
Nonlinear Motion

A theoretical model is presented which describes the three-dimensional nonlinear motion of a sagged cable that supports an array of discrete masses. An asymptotic form of this general model is derived for the linear response of a cable/mass suspension having small equilibrium curvature and horizontal supports. While the asymptotic model remains rich enough to capture dominant sagged cable effects, it is simple enough to permit closed-form analysis. A free vibration analysis is pursued that leads to closed-form solutions for problems which, heretofore, were analyzed using purely numerical methods. Among the advantages of the present method is its ability to pro vide results for: (1) complex mass arrays, (2) high-order modes, and (3) dynamic cable tension. Examples highlight the key role played by mass array symmetry and lead to new conclusions regarding free vibration.

Closed Form Solutions of Joint Water-Filling for Coordinated Transmission

2010 ◽  
Vol E93-B (12) ◽  
pp. 3461-3468 ◽  
Author(s):  
Bing LUO ◽  
Qimei CUI ◽  
Hui WANG ◽  
Xiaofeng TAO ◽  
Ping ZHANG
Keyword(s):  
Closed Form ◽  
Closed Form Solutions ◽  
Water Filling
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