Calculation of Longitudinal Oscillations in a Cylinder of Finite Dimensions
Source abstract
Abstract
Longitudinal (symmetrical) oscillations of a thin disk and a cylinder of infinite length have been analyzed using the linear elasticity theory. Dispersion equations have been obtained under the simplifying assumption that the normal stress component averaged over the cylindrical surface of a disk of finite dimensions turns to zero. Solutions obtained using iterative techniques have shown that the parameters calculated by both models can be matched to one another at a critical value of the height-to-diameter ratio (h/d) of 0.85. Calculations of the dispersion coefficient at different values of the Poisson ratio with an accuracy sufficient for practical applications have been tabulated for h/d ranging between 0.05 and 10.0.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Structural mechanics and materials · Composite Material Mechanics · Material Properties and Failure Mechanisms
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References (8)
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