Transverse Vibration of a Simply Supported Frustum of a Right Circular Cone

2000 ◽  
Vol 28 (5) ◽  
pp. 415 ◽  
Author(s):  
DR Petersen ◽  
RE Link ◽  
JF Murphy
Keyword(s):  
Transverse Vibration ◽  
Circular Cone ◽  
Simply Supported

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.

A semi-analytical method for transverse vibration of sector-like thin plate with simply supported radial edges

2018 ◽  
Vol 60 ◽  
pp. 48-63 ◽  
Author(s):  
Xianlei Guan ◽  
Jinyuan Tang ◽  
Dongyan Shi ◽  
Cijun shuai ◽  
Qingshan Wang
Keyword(s):  
Thin Plate ◽  
Analytical Method ◽  
Transverse Vibration ◽  
Simply Supported

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.

Vibration and Buckling of Cross-Ply Laminated Circular Cylindrical Panels

1975 ◽  
Vol 26 (3) ◽  
pp. 211-218 ◽  
Author(s):  
P K Sinha ◽  
A K Rath
Keyword(s):  
Stability Analysis ◽  
Aspect Ratio ◽  
Shear Deformation ◽  
Transverse Vibration ◽  
Arbitrary Sequence ◽  
Composite Panels ◽  
Simply Supported ◽  
Cylindrical Panels ◽  
Free Transverse Vibration

SummaryThe paper deals with the free transverse vibration and stability analysis of circular cylindrical composite panels. The panels are assumed to be composed of an arbitrary sequence of 0° and 90° layers. The non-dimensional vibration and buckling parameters are computed for simply-supported panels consisting of antisymmetric crossply graphite-epoxy laminates. The influence of the coupling between bending and extension, shear deformation, the panel curvature, and the aspect ratio are then discussed.

Research on Numerical Computation of Natural Frequency of Transverse Vibration for Simply Supported Beam of Non-Uniform

2011 ◽  
Vol 71-78 ◽  
pp. 3316-3319 ◽  
Author(s):  
Bo Qian
Keyword(s):  
Differential Equation ◽  
Numerical Computation ◽  
Natural Frequency ◽  
Transverse Vibration ◽  
Vertical Direction ◽  
Bending Moment ◽  
Variable Coefficients ◽  
Simply Supported Beam ◽  
Simply Supported ◽  
Computation Step

Recursive and inexplicit differential equation of the second order with variable coefficients is derived from the fourth order linear homogeneous differential equation with variable coefficients of transverse vibration of non-uniform beam, which is about deflection and bending moment according to boundary conditions and order reduction. By finite difference method, numerical computation and accuracy are studied for natural frequency of transverse vibration for simply supported beam of non-uniform. Theoretical analysis and orthogonal computation examples show that numerical computation algorithm is very simple, and accuracy of computation depends on variety rate of gradually changed cross section in vertical direction and numbers of computation step, which is independent of width and length of beam; numerical accuracy of computation is estimable for given length or numbers of computation step; and reasonable length or numbers of computation step is determinable for given accuracy demand.

Transverse Vibration Characteristics of Simply Supported Moving FGM Rectangular Plate

2011 ◽  
Vol 243-249 ◽  
pp. 5374-5380 ◽  
Author(s):  
Ruan Miao ◽  
Zhong Min Wang ◽  
Jing Hu Feng
Keyword(s):  
Rectangular Plate ◽  
Transverse Vibration ◽  
Differential Quadrature Method ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Mode Shapes ◽  
Mapping Technique ◽  
Power Law Distribution ◽  
Simply Supported ◽  
Moving Speed

The present paper investigates the dynamic characteristics and stability of moving functionally graded material rectangular thin plate. Based on Voigt model, the material properties are assumed to vary continuously through their thickness according to a power-law distribution of the volume fractions of the plate constituents. By the first order shear deformation theory, the differential equations of motion of the moving FGM rectangular plate are derived. The vibration frequencies are obtained from the solution of a generalized eigenvalue problem. Entire computational work is carried out in a normalized square domain obtained through an appropriate domain mapping technique. Results of the reduced problem revealed excellent agreement with other studies. The dimensionless complex frequencies of the moving FGM rectangular plate with four edges simply supported are calculated by the differential quadrature method. The effects of gradient index, aspect ratio, and dimensionless moving speed on the transverse vibration and stability of the moving FGM rectangular plate are analyzed. Results are furnished in dimensionless amplitude–frequency vs. dimensionless moving speed in the form of curves and pictorial representations of some vibration mode shapes are made.

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