Numerical and Asymptotic Modeling of Annular Plate Vibrations

Filippov, S. B.; Kolyada, Mikhail

doi:10.1007/978-3-642-41515-9_32

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Cited by 3 publications

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“…b p ø 1. Replacing variable s = 1 + b p x in the equations (25) and neglecting small terms leads to the approximate equation (see [11])…”

mentioning

confidence: 99%

Low-Frequency Vibrations of Thin Cylindrical Shell Stiffened by Rings With T-Shaped Cross-Section

Filippov¹

2017

Proceedings of the 6th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Abstract. Small free low-frequency vibrations of a thin elastic cylindrical shell stiffened by the rings with T-shaped cross-section are analyzed. The narrow rings are considered as circular beams. The wide rings are treated as annular plates stiffened at one edge by a circular beam. In the both cases problem is reduced to solution of the eigenvalue problem for systems of linear differential equations containing a small parameter. By means of various asymptoticapproaches simple approximate formulas for the low frequencies are obtained. These formulas are used for the evaluation of optimal parameters corresponding to the maximal fundamental frequency of the ring-stiffened shell with a given mass.

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“…b p ø 1. Replacing variable s = 1 + b p x in the equations (25) and neglecting small terms leads to the approximate equation (see [11])…”

mentioning

confidence: 99%

Low-Frequency Vibrations of Thin Cylindrical Shell Stiffened by Rings With T-Shaped Cross-Section

Filippov¹

2017

Proceedings of the 6th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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show abstract

Asymptotic Approximations for Frequencies and Vibration Modes of Cylindrical Shell Stiffened by Annular Plates

Filippov

2020

Analysis of Shells, Plates, and Beams

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Asymptotic and numerical analysis of free low-frequency ring-stiffened shells vibrations

Filippov

2017

Procedia Engineering

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Numerical and Asymptotic Modeling of Annular Plate Vibrations

Cited by 3 publications

References 2 publications

Low-Frequency Vibrations of Thin Cylindrical Shell Stiffened by Rings With T-Shaped Cross-Section

Low-Frequency Vibrations of Thin Cylindrical Shell Stiffened by Rings With T-Shaped Cross-Section

Asymptotic Approximations for Frequencies and Vibration Modes of Cylindrical Shell Stiffened by Annular Plates

Asymptotic and numerical analysis of free low-frequency ring-stiffened shells vibrations

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