Study on the bandwidth analysis of a tunable cantilever plate

In this study, the effect of crack on free vibration of a large deflected cantilever plate, which forms the case of a pre-stressed curved plate, is investigated. A distributed load is applied at the free edge of a thin cantilever plate. Then, the loading edge of the deflected plate is fixed to obtain a pre-stressed curved plate. The large deflection equation provides the non - linear deflection curve of the large deflected flexible plate. The thin curved plate is modeled by using the finite element method with a four-node quadrilateral element. Three different aspect ratios are used to examine the effect of crack. The effect of crack and its location on the natural frequency parameter is given in tables and graphs. Also, the natural frequency parameters of the present model are compared with the finite element software results to verify the reliability and validity of the present model. This study shows that the different mode shapes are occurred due to the change of load parameter, and these different mode shapes cause a change in the effect of crack.

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Analytical Solution for Rotational Rub-Impact Plate Under Thermal Shock

Journal of Mechanics ◽

10.1017/jmech.2016.19 ◽

2016 ◽

Vol 32 (3) ◽

pp. 297-311

Author(s):

T.-Y. Zhao ◽

H.-Q. Yuan ◽

B.-B. Li ◽

Z.-J. Li ◽

L.-M. Liu

Keyword(s):

Thermal Shock ◽

High Frequency ◽

Equations Of Motion ◽

Low Frequency ◽

Cantilever Plate ◽

Analysis Method ◽

Multiple Frequency ◽

Width Direction ◽

Blade Tip ◽

High Frequency Vibrations

AbstractThe analysis method is developed to obtain dynamic characteristics of the rotating cantilever plate with thermal shock and tip-rub. Based on the variational principle, equations of motion are derived considering the differences between rubbing forces in the width direction of the plate. The transverse deformation is decomposed into quasi-static deformation of the cantilever plate with thermal shock and dynamic deformation of the rubbing plate under thermal shock. Then deformations are obtained through the calculation of modal characteristics of rotating cantilever plate and temperature distribution function. Special attention is paid to the influence of tip-rub and thermal shock on the plate. The results show that tip-rub has the characteristics of multiple frequency vibrations, and high frequency vibrations are significant. On the contrary, thermal shock shows the low frequency vibrations. The thermal shock makes the rubbing plate gradually change into low frequency vibrations. Because rub-induced vibrations are more complicated than those caused by thermal shock, tip-rub is easier to result in the destruction of the blade. The increasing friction coefficient intensifies vibrations of the rubbing plate. Minimizing friction coefficients can be an effective way to reduce rub-induced damage through reducing the surface roughness between the blade tip and the inner surface of the casing.

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Effect of a tip mass on the natural frequencies of a rotating pre-twisted cantilever plate

Journal of Sound and Vibration ◽

10.1016/0022-460x(80)90329-6 ◽

1980 ◽

Vol 70 (4) ◽

pp. 598-601 ◽

Cited By ~ 4

Author(s):

S. Sreenivasamurthy ◽

V. Ramamurti

Keyword(s):

Natural Frequencies ◽

Cantilever Plate ◽

Tip Mass

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Deflection measurement of a cantilever plate by holographic interferometry

Strain ◽

10.1111/j.1475-1305.1979.tb00283.x ◽

1979 ◽

Vol 15 (2) ◽

pp. 63-65 ◽

Cited By ~ 1

Author(s):

A. G. KHADAKKAR ◽

R. NARAYANAN ◽

NAGESH R. IYER

Keyword(s):

Holographic Interferometry ◽

Cantilever Plate ◽

Deflection Measurement

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BENDING OF ORTHOTROPIC RECTANGULAR CANTILEVER PLATE

STRUCTURAL MECHANICS AND ANALYSIS OF CONSTRUCTIONS ◽

10.37538/0039-2383.2021.1.2.9 ◽

2021 ◽

pp. 2-9

Author(s):

M.V. Sukhoterin ◽

◽

A.M. Maslennikov ◽

T.P. Knysh ◽

I.V. Voytko ◽

...

Keyword(s):

Iterative Method ◽

Boundary Conditions ◽

Trigonometric Series ◽

Bending Moment ◽

Partial Solution ◽

Numerical Results ◽

Cantilever Plate ◽

Degree Polynomial ◽

Fourth Degree ◽

Beam Function

Abstract. An iterative method of superposition of correcting functions is proposed. The partial solution of the main differential bending equation is represented by a fourth-degree polynomial (the beam function), which gives a residual only with respect to the bending moment on parallel free faces. This discrepancy and the subsequent ones are mutually compensated by two types of correcting functions-hyperbolic-trigonometric series with indeterminate coefficients. Each function satisfies only a part of the boundary conditions. The solution of the problem is achieved by an infinite superposition of correcting functions. For the process to converge, all residuals must tend to zero. When the specified accuracy is reached, the process stops. Numerical results of the calculation of a square ribbed plate are presented.

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