FUNDAMENTAL FREQUENCY OF TRANSVERSE VIBRATION OF A RECTANGULAR, ANISOTROPIC PLATE OF DISCONTINUOUSLY VARYING THICKNESS

2001 ◽  
Vol 248 (3) ◽  
pp. 573-577 ◽  
Author(s):  
R.H. GUTIÉRREZ ◽  
P.A.A. LAURA
Keyword(s):  
Fundamental Frequency ◽  
Transverse Vibration ◽  
Anisotropic Plate ◽  
Varying Thickness

Mobility power flows of thin circular plate carrying concentrated masses based on structural circumferential periodicity

2016 ◽  
Vol 230 (17) ◽  
pp. 2996-3011
Author(s):  
Jun-hong Zhang ◽  
De-sheng Li
Keyword(s):  
Circular Plate ◽  
Fundamental Frequency ◽  
Transverse Vibration ◽  
New Method ◽  
Concentrate Mass ◽  
Simply Supported ◽  
Thin Circular Plate ◽  
Parametric Effect ◽  
Analytical Results ◽  
Concentrated Masses

A new method was presented by utilizing the structural circumferential periodicity of the inertia excitation due to the concentrated masses to compute the transverse vibration for thin circular plate carrying concentrated masses. Comparison between the calculated fundamental frequency coefficients and those from other approaches validates the method. And then, the point mobility matrices and the power flows were solved on the basis of modal function solutions and the analytical results of simply supported case were presented. Finally, the parametric effect of the single concentrate mass on the power flows was investigated.

Fundamental Frequency of Simply Supported Rectangular Plates With Linearly Varying Thickness

1965 ◽  
Vol 32 (1) ◽  
pp. 163-168 ◽  
Author(s):  
F. C. Appl ◽  
N. R. Byers
Keyword(s):  
Rectangular Plate ◽  
Fundamental Frequency ◽  
Lower Bounds ◽  
Upper And Lower Bounds ◽  
Rectangular Plates ◽  
Simply Supported ◽  
Varying Thickness

Upper and lower bounds for the fundamental eigenvalue (frequency) of a simply supported rectangular plate with linearly varying thickness are given for several taper ratios and plan geometries. These bounds were determined using a previously published method which yields convergent bounds. In the present study, all results have been obtained to within 0.5 percent maximum possible error.

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