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Image of Vibration Testing and System Dynamics
ISSN: 2475-4811 (print)
ISSN: 2475-482X (online)
Journal of Vibration Testing and System Dynamics

C. Steve Suh (editor), Pawel Olejnik (editor),

Xianguo Tuo (editor)

Pawel Olejnik (editor)

Lodz University of Technology, Poland

Email: pawel.olejnik@p.lodz.pl

C. Steve Suh (editor)

Texas A&M University, USA

Email: ssuh@tamu.edu

Xiangguo Tuo (editor)

Sichuan University of Science and Engineering, China

Email: tuoxianguo@suse.edu.cn

Comprehensive Modal Analysis for In-Plane Free Vibrations of High-Speed Annular Disks

Journal of Vibration Testing and System Dynamics 7(4) (2023) 471--507 | DOI:10.5890/JVTSD.2023.12.006

Ehsan Sarfaraz, Hamid R. Hamidzadeh

Department of Mechanical and Manufacturing Engineering, Tennessee State University, Nashville, TN 37209,

USA

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Abstract

In view of the vast potential applications of flexible thin rotating disks, the knowledge of their vibration characteristics has been considered by many investigators. Rotating disks are the main components in various machinery applications, such as space structures, flywheels, torsional disk dampers, grinding wheels, turbine rotors, circular saw blades, computer storage devices and brake systems. Dynamic response and stability of rotating disk depend on its rotational speed. The knowledge of the in-plane vibration of rotating disks is also essential for the design of spinning disks. In most cases, to rotating a disk at a certain speed, a knowledge of modal vibrations and critical speeds of the disks are essential. An analytical solution is investigated to determine in-plane modal vibration characteristics of high speed rotating annular disks. A systematic approach based on the established governing equation for the linear in-plane free vibrations of disks is developed, and the displacements and stresses compatibilities are considered. The disk material is elastic homogeneous, thin, and isotropic and is rotating at constant angular speed. The developed analytical solution is obtained by implementing the two-dimensional plane stress theory. In this research, several possible boundary conditions for the annular disks are investigated, and natural frequencies and mode shapes of rotating disks are computed. The mode shape functions for displacements and stresses in the radial and circumferential directions are determined. In addition, variations of nondimensional modal frequencies versus a wide range of dimensionless rotational speeds for several radius ratios are presented.

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