Determination of the position and volume of a cavity in an elastic rod from its two vibration eigenfrequencies
Source abstract
Abstract
The direct and inverse problems of the longitudinal vibrations of a cylindrical rod with a flaw in the form of a cavity with a small characteristic size are considered. An approach to the determination of the location and volume of a small cavity of an arbitrary shape, which is based on the representation of the cavity by a negative mass, is proposed. The results of numerical experiments and their analysis are presented.
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Research context
OpenAlex topics: Numerical methods in inverse problems · Elasticity and Wave Propagation · Engineering Diagnostics and Reliability
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References (14)
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