Vibrations of suspended cables Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/p5547t73s

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  • The equations of motion of an elastic cable suspended in a viscous medium from two arbitrary points are derived. These are then linearized for the undamped, inextensible case, and it is found that the equations describing the in-plane motion of the cable are then independent of the equation describing the out-of-plane motion of the cable. The linearized differential equations of motion of the cable contain coefficients which are irrational functions of the independent variable. A change of independent variable is made that transforms the equations of motion to a form with polynomial coefficients. Solution of these equations, using the method of Frobenius, yields both the in-plane and out-of-plane natural frequency ratios of the cable. The first six natural frequency ratios for both in-plane and out-of-plane motion are presented for a variety of cable geometries. Using the equations developed for the normal mode motion, a technique is presented for determination of the displacements and tensions throughout a cable when one end is subjected to a prescribed tangential displacement of known frequency. Maximum cable tensions are presented as a function of the forcing frequency for a variety of cable geometries.
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  • File scanned at 300 ppi (Monochrome) using ScandAll PRO 1.8.1 on a Fi-6770A in PDF format. CVista PdfCompressor 5.0 was used for pdf compression and textual OCR.
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  • description.provenance : Made available in DSpace on 2013-11-12T20:27:27Z (GMT). No. of bitstreams: 1 GaleJohnGregg1976.pdf: 815601 bytes, checksum: 1d4a9ef47808b54cf04f1406c97bebff (MD5) Previous issue date: 1976-03-16
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