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Oscillation Equations of a Rod with Rectilinear Axis

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Book cover Theory of Elastic Oscillations

Part of the book series: Foundations of Engineering Mechanics ((FOUNDATIONS))

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Abstract

Let us consider the longitudinal, torsional and transverse vibrations of a rod with a rectilinear axis of homogeneous material over its cross-section.

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References

  1. Mikhlin, S. G. (1950). Direct Methods in mathematical physics (p. 428). Moscow: State Technical Publishing. (in Russian).

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  2. Timoshenko S. P. (1956) Strength of materials, 3rd edn. Van Nostrand, NJ, Part 1, 1955, 442 p.; Part 2, 1956, 572 p.

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  3. Lusternik, L. A., & Sobolev, V. J. (1968). Elements of functional analysis (411 p.). Gordon and Breach.

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  4. Smirnov V. I. (1964). Course of higher mathematics (Vol. IV, 336 p.). Pergamon Press.

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Correspondence to Vladimir Fridman .

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© 2018 Springer Nature Singapore Pte Ltd.

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Fridman, V. (2018). Oscillation Equations of a Rod with Rectilinear Axis. In: Theory of Elastic Oscillations. Foundations of Engineering Mechanics. Springer, Singapore. https://doi.org/10.1007/978-981-10-4786-2_1

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  • DOI: https://doi.org/10.1007/978-981-10-4786-2_1

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-4785-5

  • Online ISBN: 978-981-10-4786-2

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