Apparently first closed-form solutions for inhomogeneous vibrating beams under axial loading (Q2748051)
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scientific article; zbMATH DE number 1658852
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Apparently first closed-form solutions for inhomogeneous vibrating beams under axial loading |
scientific article; zbMATH DE number 1658852 |
Statements
27 March 2003
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inhomogeneous vibrating beams
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closed-form solutions
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natural frequencies
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axially distributed loading
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mode shape
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static deflection
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polynomial functions
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inverse problem
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stiffness
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mass density
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Apparently first closed-form solutions for inhomogeneous vibrating beams under axial loading (English)
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The authors present closed-form solutions for natural frequencies of inhomogeneous beams vibrating under axially distributed loading. The mode shape is postulated to coincide with static deflection of an associated homogeneous beam without distributed axial loading. Then, using a family of polynomial functions, the authors solve the inverse problem of determining stiffness and mass density distributions which produce the above mode shape.
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