Effect of gravity on the vibration of vertical cantilevers |
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Authors: | LN Virgin ST Santillan DB Holland |
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Institution: | aDepartment of Mechanical Engineering and Materials Science, Duke University, Durham, NC 27708-0300, USA |
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Abstract: | The free vibration of a vertically-oriented, thin, prismatic cantilever is influenced by weight. That is, the natural frequencies (and to a lesser extent, mode shapes) are affected by the application of a linearly varying axial load. A beam with an “upward” orientation, i.e., with the free end above the clamped end, will experience a de-stiffening effect, up to the point of self-weight buckling (at zero effective stiffness). A beam in a “downward” orientation will be stiffened by the weight of the beam. This technical note describes some simple experiments on very slender strips and their (vertical) orientation and shows a close correlation with theory. |
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Keywords: | Vibration Stability Gravity |
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