A METHOD TO PREDICT THE VIBRATION CHARACTERISTICS OF THIN WALLED CIRCULAR CYLINDER

DOI: https://doie.org/10.0215/Jbse.2025871763

G. Tarakrishnamanohar , Dr.M.Chandra Sekhar Reddy

Keywords:

Circular Cylindrical Shell, Virtual work principle, Natural Frequency, Eigenvalue Problem

Abstract:

This work presents an approximate way to determining the natural frequencies of thin-walled cylinders. Nonetheless, a unique, simple device based on the virtual work concept has been developed to estimate the intrinsic frequencies and vibration amplitudes without the need for complex numerical resolution. Furthermore, the model's applicability is broadened to encompass all common constraint scenarios. Finding the natural frequencies of a continuous cylinder may be reduced to an eigenvalue problem using a matrix whose components are determined solely by the cylinder's geometrical characteristics, the material's mechanical properties, and known numerical parameters. These are pre-estimated for specific boundary circumstances, such pinned or clamped end limits. The proposed formulation may handle any combination of constraints, but is restricted to the analysis of a pinned-pinned cylinder for the purpose of conciseness. The results of the FEM study were used to assess the reliability of the model. According to these assessments, the maximum inaccuracy in relation to the precise solutions for the lowest natural frequency for all mode forms of the pinned-pinned case is around 3%, offering a superb trade-off between accuracy and usability.

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