Analysis of a cable-like system suddenly stopped at one end

✍ Scribed by P.A.A. Laura; J.A. Reyes; R.E. Rossi

• Book ID: 104153693
• Publisher: Elsevier Science
• Year: 1974
• Tongue: English
• Weight: 419 KB
• Volume: 37
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(74)80328-7

✦ Synopsis

The problem investigated is that of a spring and Hookean bar system, with a mass attached at the other end, moving axially with a constant velocity, Iio. A dynamic stress field results if the free end of the spring is suddenly stopped. Determination of these dynamic stresses has been accomplished by following a one dimensional wave approach. The model adopted constitutes a first order approximation to a type of cable system commonly used in ocean engineering applications. A severe sudden loading condition results when the situation previously described arises. The problem is also interesting from an applied mathematics viewpoint since it requires expansion of the displacement function in a series of non-orthogonal functions.