Dynamic Analysis of an Internal Turning Tool with Elastic Foundation (Winkler Model) ECCOMAS Thematic Conference on Multibody Dynamics 2021
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Euler–Bernoulli beam
Winkler foundation
Eigenvalue
natural frequency
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- Cite this item
- https://doi.org/10.3311/ECCOMASMBD2021-222
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Abstract
This paper focuses on the clamping properties influence on the dynamic properties of clamped boring bars. The boring bar is modeled as a cantilever Euler–Bernoulli beam and a three span configuration in a Winkler foundation, in this way, this theory is applied to derive the transcendental equation for a general case applicable to the system with span beam at an arbitrary location. Eigenvalue plots of the first three modes are presented along with their respective mode shapes. The corresponding natural frequency equations are given and obtained by numerical calculation. The theoretical calculations are validated and discussed. These results confirm that within reason, the theory matches the literature and have relatively approach with the experimental values.