Details
| Original language | English |
|---|---|
| Pages (from-to) | 115-122 |
| Number of pages | 8 |
| Journal | Journal of sound and vibration |
| Volume | 168 |
| Issue number | 1 |
| Publication status | Published - 22 Nov 1993 |
| Externally published | Yes |
Abstract
A finite difference scheme is used to calculate the forced transverse vibrations of thin annular plates with radially varying thickness. Under the assumption of harmonic motion, the governing partial differential equation reduces to a system of ordinary differential equations with variable coefficients. The numerical scheme that solves this system for various boundary conditions is successfully tested vs. known analytical solutions, and it is subsequently used to compute the forced vibrations of plates with more complicated thickness variations. The numerical results for these plates are compared to experimental results and found to be in good agreement. The effects of the rotatory inertias are studied and found to be important at high frequencies.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Condensed Matter Physics
- Engineering(all)
- Mechanics of Materials
- Physics and Astronomy(all)
- Acoustics and Ultrasonics
- Engineering(all)
- Mechanical Engineering
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In: Journal of sound and vibration, Vol. 168, No. 1, 22.11.1993, p. 115-122.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Travelling wave ultrasonic motors, Part II:
T2 - A numerical method for the flexural vibrations of the stator
AU - Hagedorn, P.
AU - Wallaschek, J.
AU - Konrad, W.
N1 - Copyright: Copyright 2017 Elsevier B.V., All rights reserved.
PY - 1993/11/22
Y1 - 1993/11/22
N2 - A finite difference scheme is used to calculate the forced transverse vibrations of thin annular plates with radially varying thickness. Under the assumption of harmonic motion, the governing partial differential equation reduces to a system of ordinary differential equations with variable coefficients. The numerical scheme that solves this system for various boundary conditions is successfully tested vs. known analytical solutions, and it is subsequently used to compute the forced vibrations of plates with more complicated thickness variations. The numerical results for these plates are compared to experimental results and found to be in good agreement. The effects of the rotatory inertias are studied and found to be important at high frequencies.
AB - A finite difference scheme is used to calculate the forced transverse vibrations of thin annular plates with radially varying thickness. Under the assumption of harmonic motion, the governing partial differential equation reduces to a system of ordinary differential equations with variable coefficients. The numerical scheme that solves this system for various boundary conditions is successfully tested vs. known analytical solutions, and it is subsequently used to compute the forced vibrations of plates with more complicated thickness variations. The numerical results for these plates are compared to experimental results and found to be in good agreement. The effects of the rotatory inertias are studied and found to be important at high frequencies.
UR - http://www.scopus.com/inward/record.url?scp=0027700935&partnerID=8YFLogxK
U2 - 10.1006/jsvi.1993.1364
DO - 10.1006/jsvi.1993.1364
M3 - Article
AN - SCOPUS:0027700935
VL - 168
SP - 115
EP - 122
JO - Journal of sound and vibration
JF - Journal of sound and vibration
SN - 0022-460X
IS - 1
ER -