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Free in-plane vibration of thin-walled rings with elastic supports

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Abstract

The free in-plane vibration of a thin-walled ring with elastic supports is investigated in this work. These supports are represented as linear springs in radial, tangential, and torsional directions to mimic bolt supports in the real world. With the Euler-Bernoulli theory and the assumption of inextensibility, the natural frequency and mode shape are obtained. Finally, the effects of model parameters such as radius-to-thickness ratio and support stiffness are studied. The model is verified by comparing results against available publications on simpler boundary conditions.

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Abbreviations

ρ :

Density

E :

Young’s modulus

R :

Ring radius

A :

Cross-sectional area

I :

Moment of inertia

t :

Ring thickness

k t :

Tangential spring constant

k r :

Radial spring constant

k s :

Rotational spring constant

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Authors and Affiliations

  1. Faculty of Engineering and Applied Science, Memorial University of Newfoundland, St. John’s, NL, Canada

    Mohammadjavad Abedinilaksar & Jianming Yang

Authors
  1. Mohammadjavad Abedinilaksar
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  2. Jianming Yang
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Corresponding author

Correspondence to Jianming Yang.

Additional information

M. Javad Abedinilaksar is a Ph.D. student at the School of Engineering and Applied Science, Memorial University of Newfoundland (MUN), Canada. He received his M.Eng. in Mechanical Engineering from MUN. His research interests include dynamics, solid mechanics, vibrations, and design.

Jianming (James) Yang is an Associate Professor at the School of Engineering and Applied Science, Memorial University of Newfoundland (MUN), Canada. He received his Ph.D. in Mechanical Engineering from Tianjin University, followed by a post-doctoral at Shanghai Jiao Tong University. His research mainly deals with mechanical vibration/dynamics, particularly nonlinear random vibration/dynamics, and fatigue prediction of mechanical parts or structural members under random loading.

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Abedinilaksar, M., Yang, J. Free in-plane vibration of thin-walled rings with elastic supports. J Mech Sci Technol 37, 17–23 (2023). https://doi.org/10.1007/s12206-022-1203-6

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  • DOI: https://doi.org/10.1007/s12206-022-1203-6

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