On the vibrational dynamics of rotating thin-walled cylinders: A theoretical and experimental study utilizing active magnetic bearings

Fakkaew, Wichaphon; Cole, Matthew O. T.; Chamroon, Chakkapong

doi:10.1016/j.ijmecsci.2019.105101

Cited by 13 publications

(1 citation statement)

References 25 publications

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“…Xing et al [33] presented an exact solution for different constraints from Donnell-Mushtari's equations using variables separation and Newton's iterative method. A similar approach was used by Fakkaew et al [34]. Lastly, the latest contributions focus on the finite element method (FEM) using the block Lanczos iteration method [35], the reverberation-ray matrix approach [36], Galerkin projections of the partial differential equations governing the shell equations of motion [37], the symplectic approach [38,39], and the isogeometric analysis [40] to extend the theory of natural vibrations to various thin-walled structures, also in composite materials [41].…”

Section: Introductionmentioning

confidence: 99%

A Dynamic Matrix for the Study of Free Vibrations of Thin Circular Cylindrical Shells under Different Boundary Conditions

Cammalleri,

Castellano

2023

Designs

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Although free vibrations of thin-walled cylinders have been extensively addressed in the relevant literature, finding a good balance between accuracy and simplicity of the procedures used for natural frequency assessment is still an open issue. This paper proposes a novel approach with a high potential for practical application for rapid esteem of natural frequencies of thin-walled cylinders under different boundary conditions. Starting from Donnell–Mushtari’s shell theory, the differential problem is simplified by using the principle of virtual work and introducing the flexural waveforms of a beam as constrained as the cylinder. Hence, the formulation is reduced to the eigenvalue problem of an equivalent 3 × 3 dynamic matrix, which depends on the cylinder geometry, material, and boundary conditions. Several comparisons with experimental, numerical, and analytical approaches are presented to prove model reliability and practical interest. An excellent balance between fast usability and accuracy is achieved. The user-friendliness of the model makes it suitable to be implemented during the design stage without requiring any deep knowledge of the topic.

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