Vibrational characteristics of a long and very flexible rotating fixed-free beam /
The differential eigenvalue problem of a long and very flexible rotating fixed-free beam is studied. This kind of system produces a singular perturbation equation with a turning point. The perturbation factor arises because of the division of the small bending stiffness value by the large value of t...
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| Format: | Thesis eBook |
| Language: | English |
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[Place of publication not identified] :
[publisher not identified] ;
2003.
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| Subjects: | |
| Online Access: | Link to OAKTrust copy |
| Summary: | The differential eigenvalue problem of a long and very flexible rotating fixed-free beam is studied. This kind of system produces a singular perturbation equation with a turning point. The perturbation factor arises because of the division of the small bending stiffness value by the large value of the length to the power of four. A translation of the beam along one of the rotating axis was required in order to solve the reduced problem, in which the perturbing factor is set to zero. A formal composite solution is proposed and the eigenvalue problem is solved complementing the asymptotic method with a numerical method. The eigenfunctions are found to depend upon even integer Legendre polynomials and the Airy functions. The assumed modes method is used in order to compare the approximate solutions. |
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| Item Description: | "Major subject: Aerospace Engineering". Vita. |
| Physical Description: | vii, 39 leaves : illustrations ; 28 cm. Also available online. Issued also on microfiche from Lange Micrographics. |
| Bibliography: | Includes bibliographical references (leaves 37-38). |