Abstract
The topic discussed here goes well beyond those normally addressed in courses on mechanical design. However, it is advisable to provide complete coverage of the mathematical basics of the method for integrating the differential equations that govern the displacement field of rotating disks whose thickness varies according to a two-parameter linear function, and thus make it possible to determine their stress and strain states. With this approach, which is a generalization of the conical disk problem covered in the preceding Chapter (the conical disk can be obtained as a particular case of this non-linear variable thickness disk), we can analyse disk profile configurations of undoubted design interest.
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References
Eraslan, A.N., Argeşo, H.: Limit angular velocities of variable thickness rotating disks. Int. J. Solids. Struct. 39(12), 3109–3130 (2002)
Güven, U.: Tresca’s yield condition and the linear hardening rotating solid disk of variable thickness. Zeitschrift fur Angewandte Mathematik und Mechanik 75(10), 805–807 (1995)
Manna, F.: Rotating discs of unconventional profile. Meccanica 3(4), 1–9 (1968)
Vullo, V., Vivio, F.: Elastic stress analysis of non-linear variable thickness rotating disks subjected to thermal load and having variable density along the radius. Int. J. Solids. Struct. 45(20), 5337–5355 (2008)
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Vullo, V., Vivio, F. (2013). Non-Linearly Variable Thickness Disks. In: Rotors: Stress Analysis and Design. Mechanical Engineering Series. Springer, Milano. https://doi.org/10.1007/978-88-470-2562-2_7
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DOI: https://doi.org/10.1007/978-88-470-2562-2_7
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