Abstract
Abstract A non-uniformly tensioned circular string on a damped elastic foundation is acted upon by a moving concentrated load. This configuration can be viewed as a very simplified representation of a spinning rectangularly orthotropic disk acted upon by a spatially fixed force, or of a stationary orthotropic disk subjected to a circumferentially moving load. The natural frequencies and normal modes of vibration of the string on elastic foundation are determined for a range of values of the tension inhomogeneity. The response of the string to a moving load is then determined. The results indicate that there are many speeds, below the critical speed of the uniformly tensioned string, for which the forced response is large. It is anticipated that the response of this simple model to a moving load can provide insight into the behavior of the mathematically more complicated rectangularly orthotropic circular disk.
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