FUNDAMENTAL FREQUENCY OF TRANSVERSE VIBRATION OF SIMPLY SUPPORTED AND CLAMPED PLATES OF REGULAR POLYGONAL SHAPE WITH A CONCENTRIC CIRCULAR SUPPORT

1998 ◽  
Vol 217 (5) ◽  
pp. 945-949 ◽  
Author(s):  
R.H. Gutierrez ◽  
P.A.A. Laura ◽  
R.E. Rossi
Keyword(s):  
Fundamental Frequency ◽  
Transverse Vibration ◽  
Simply Supported ◽  
Polygonal Shape

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.

Free Vibration of Thin-Walled Open Section Beams With Unconstrained Damping Treatment

1981 ◽  
Vol 48 (1) ◽  
pp. 169-173 ◽  
Author(s):  
S. Narayanan ◽  
J. P. Verma ◽  
A. K. Mallik
Keyword(s):  
Free Vibration ◽  
Cross Section ◽  
Transverse Vibration ◽  
Natural Frequencies ◽  
Vibration Characteristics ◽  
Numerical Results ◽  
Simply Supported ◽  
Clamped Beams ◽  
Thin Walled ◽  
Open Cross Section

Free-vibration characteristics of a thin-walled, open cross-section beam, with unconstrained damping layers at the flanges, are investigated. Both uncoupled transverse vibration and the coupled bending-torsion oscillations, of a beam of a top-hat section, are considered. Numerical results are presented for natural frequencies and modal loss factors of simply supported and clamped-clamped beams.

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