scholarly journals The Sound Power Radiated by Some Axisymmetric Vibration Modes of a Guided Annular Plate

2003 ◽  
Vol 8 (1) ◽  
Author(s):  
Wojciech P. Rdzanek Jr.
Keyword(s):  
Annular Plate ◽  
Sound Power ◽  
Axisymmetric Vibration ◽  
Vibration Modes

An Ultrasonic Motor Using Non-Axisymmetric Vibration Modes of a Piezo-Ceramic Annular Plate

1989 ◽  
Vol 28 (S1) ◽  
pp. 161 ◽  
Author(s):  
Yoshiro Tomikawa ◽  
Takehiro Takanon ◽  
Hiroshi Hirata ◽  
Toshiharu Ogasawara
Keyword(s):  
Annular Plate ◽  
Ultrasonic Motor ◽  
Axisymmetric Vibration ◽  
Vibration Modes

An Ultrasonic Motor Using Non-Axisymmetric Vibration Modes of a Piezo-Ceramic Annular Plate

1989 ◽  
Vol 28 (S2) ◽  
pp. 202 ◽  
Author(s):  
Takehiro Takano ◽  
Yoshiro Tomikawa ◽  
Toshiharu Ogasawara ◽  
Hiroshi Hirata
Keyword(s):  
Annular Plate ◽  
Ultrasonic Motor ◽  
Axisymmetric Vibration ◽  
Vibration Modes

Torsional Vibrations of Shells of Revolution

1961 ◽  
Vol 28 (4) ◽  
pp. 571-573 ◽  
Author(s):  
H. Garnet ◽  
M. A. Goldberg ◽  
V. L. Salerno
Keyword(s):  
Differential Equation ◽  
Governing Equation ◽  
Torsional Vibration ◽  
Conical Shell ◽  
Order Differential Equation ◽  
Annular Plate ◽  
Thin Shells ◽  
Torsional Vibrations ◽  
Vibration Modes ◽  
Shells Of Revolution

Torsional-vibration modes are uncoupled from the bending and extensional modes in thin shells of revolution. The solution for the uncoupled torsional modes then depends upon a linear second-order differential equation. The governing equation is subsequently solved for the frequencies of a conical shell. A tabulation of the first five frequencies for varying ratios of the terminal radii is presented. These frequencies are identical to those of an annular plate which has the same supports as the conical shell.

Axisymmetric Vibration of Rotating Annular Plate with Variable Thickness Subjected to Tensile Centrifugal Body Force

2017 ◽  
Vol 17 (09) ◽  
pp. 1750101 ◽  
Author(s):  
Jae-Hoon Kang
Keyword(s):  
Variable Thickness ◽  
Body Force ◽  
Annular Plate ◽  
Ritz Method ◽  
Free Vibration Analysis ◽  
Angular Speed ◽  
Plane Elasticity ◽  
Outer Radius ◽  
Axisymmetric Vibration ◽  
Rotating Annular Plate

This paper is concerned with the axisymmetric free vibration analysis of a rotating annular plate with variable thickness by using the Ritz method. The rotating plate has a constant angular speed and subjected to a tensile centrifugal body force. The annular plate is fixed at the inner edge and free at the outer edge. Exact stresses, strains, and radial displacement of the rotating annular plate are obtained via plane elasticity. Presented herein are the natural frequencies and modes shapes for the rotating, nonuniform annular plate with various angular speeds and different ratios of the inner radius to the outer radius.

Modal Analysis of Annular Plate with Crack and its Effect on Natural Frequency

2015 ◽  
Vol 813-814 ◽  
pp. 910-914 ◽  
Author(s):  
R. Pramod ◽  
M.E. Shashi Kumar ◽  
S. Mohan Kumar
Keyword(s):  
Natural Frequency ◽  
Dynamic Characteristics ◽  
Natural Frequencies ◽  
Annular Plate ◽  
Structural Member ◽  
Vibration Modes ◽  
Static And Dynamic Characteristics ◽  
Annular Plates ◽  
Theoretical Frequency ◽  
Theoretical Results

The study of the dynamic behavior of annular plates with circumferential cracks can find many applications in several machine components such as flywheels, clutch plates, compact discs etc. A crack on a structural member introduces a local increase of flexibility in that region then; this affects the static and dynamic characteristics. The effects of cracks on the dynamic characteristics of structures, especially on the natural frequencies and modes, were extensively studied. In this study, the natural frequencies of annular plates with circumferential cracks are investigated by using finite element method. The cracks were non-propagating and open. The annular plate with different cracks was subjected to different boundary conditions and final variation in the natural frequency was obtained, which was compared with the theoretical frequency and the change in the natural frequency was studied. The results of this study with improved elements are compared with the theoretical results in the literature. It is observed that the location and the number of cracks have various effects on the natural frequencies related to the vibration modes.

Free Vibration of Two-Directional Functionally Graded Annular Plates Using Chebyshev Collocation Technique and Differential Quadrature Method

2015 ◽  
Vol 15 (06) ◽  
pp. 1450086 ◽  
Author(s):  
Yajuvindra Kumar
Keyword(s):  
Annular Plate ◽  
Volume Fraction ◽  
Differential Quadrature Method ◽  
Functionally Graded ◽  
Differential Quadrature ◽  
Axisymmetric Vibration ◽  
Quadrature Method ◽  
Chebyshev Collocation ◽  
Annular Plates ◽  
Collocation Technique

This article deals with the free axisymmetric vibration of two-directional functionally graded annular plates. Ceramic and metal are considered two constituents of the functionally graded material (FGM), which are graded through thickness and radial directions of the plate. The Chebyshev collocation technique and differential quadrature method are employed to derive the frequency equations for an annular plate with both edges clamped and another one with both edges simply supported. The results for nonhomogeneous isotropic annular plates are also presented. The accuracy and efficiency of the present approach are confirmed through comparison of the frequencies obtained for homogeneous isotropic annular plates. Identical results are obtained for the two methods used. The effects of volume fraction index, coefficient of radial variation, exponent of power law, inner to outer radii ratio, and boundary conditions are discussed on the first three natural frequencies. It is found that the frequency of a functionally graded annular plate is greater than that of a homogeneous annular plate.

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