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Role of Compactness on Hardness and Reduced Modulus of Vaterite Determined with Nanoindentation Read chapter Read first chapter

2019 | OriginalPaper | Chapter

The Wave Field of a Twice-Truncated Elastic Cone Under Torsion Moment Impact

Authors : K. Mysov, N. Vaysfel’d

Published in: Proceedings of the Second International Conference on Theoretical, Applied and Experimental Mechanics

Publisher: Springer International Publishing

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Abstract

The problem of an elastic twice-truncated cone wave field estimation is considered for a steady state torsional oscillations. The G. Ya. Popov integral transformation with regard to an angular coordinate is applied. It allows the reduction of the original problem to a one-dimensional boundary value problem in the transformation’s domain. The solution of this boundary value problem is derived in an explicit form. The dependence of the eigenfrequencies on the cone’s geometric parameters is investigated.

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previous chapter Stress State of a Hollow Cylindrical Body with a System of Cracks Under Oscillations of Longitudinal Shear
next chapter To the Solving of the Nonstationary Spatial Lamb—Cerutti Problem
Literature
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Vaisfel’d, N.D., Popov, G.Y., Reut, A.V.: Axisymmetric problem of stressed state for a twice truncated cone. J. Math. Sci. 201(2), 229–244 (2014)CrossRef
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Mysov, K., Vaysfeld, N.: Steady state torsion of twice truncated elastic cone. Young Scientist 10(62), 118–121 (2018)
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Popov, G.Y.: New transforms for the resolving equations in elastic theory and new integral transforms, with applications to boundary-value problems of mechanics. Int. Appl. Mech. 39(12), 1400–1424 (2003)CrossRef
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Metadata
Title
The Wave Field of a Twice-Truncated Elastic Cone Under Torsion Moment Impact
Authors
K. Mysov
N. Vaysfel’d
Copyright Year
2019
Book
Proceedings of the Second International Conference on Theoretical, Applied and Experimental Mechanics

Print ISBN: 978-3-030-21893-5

Electronic ISBN: 978-3-030-21894-2

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-030-21894-2_45

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