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Dynamic stiffness of parabolic cables
Author(s) -
Veletsos A. S.,
Darbre G. R.
Publication year - 1983
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.4290110306
Subject(s) - stiffness , salient , chord (peer to peer) , position (finance) , range (aeronautics) , mathematical analysis , harmonic , structural engineering , simple harmonic motion , control theory (sociology) , mathematics , engineering , physics , mechanics , classical mechanics , computer science , acoustics , control (management) , distributed computing , finance , artificial intelligence , economics , aerospace engineering
A closed‐form expression for the in‐plane horizontal stiffness of a viscously damped, uniform, inclined cable in harmonic motion is presented. The cable is presumed to be deflected in a parabolic profile at its position of static equilibrium, and all dynamic displacements are assumed to be small. The stiffness expression is valid for an arbitrary angle of inclination of the cable chord in the range between zero and 90 degrees. In addition, a simpler solution, valid over a narrower range of the parameters, is included and its accuracy examined. Comprehensive numerical data are presented and discussed, with particular emphasis on explaining the physical significance of the results and providing insight into the action of the cable and into the parameters that control it. Finally, a simple, single‐degree‐of‐freedom model is proposed which reproduces with good accuracy the salient features of the response of the prototype cable over a wide range of conditions.