Asymptotic stability of a viscoelastic elliptic shaft |
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| Authors: | HL Arora |
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| Institution: | Department of Mathematics, College of Science, Mosul University, Mosul-Iraq |
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| Abstract: | A finite viscoelastic shaft whose model is based on the spring and dash-pot (Kelvin element) is asymptotically stable as long as its angular speed is less than or equal to the square root of the least eigenvalue of the system. We construct numerically the least eigenvalue by using an iteration method where a definite integral is evaluated by the GAUSQZ method. With this construction, we show that a viscoelastic elliptic shaped shaft with both ends pinned is more stable than the tapered shaft with both ends pinned, or with one end built in and the other end free. |
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