Numerical study of nonlinear vibrations of plates and shells with two-frequency excitation

1991 ◽  
Vol 27 (8) ◽  
pp. 793-798
Author(s):  
V. A. Bazhenov ◽  
E. S. Dekhtyaryuk ◽  
Yu. S. Petrina ◽  
K. O. �neremadu
Keyword(s):  
Nonlinear Vibrations ◽  
Numerical Study ◽  
Plates And Shells ◽  
Frequency Excitation

Stability and bifurcations of the steady-state modes in nonlinear vibrations of plates and shells

1989 ◽  
Vol 21 (12) ◽  
pp. 1740-1747 ◽  
Author(s):  
G. V. Isakhanov ◽  
E. S. Dekhtyaryuk ◽  
V. B. Kovtunov ◽  
E. D. Lumel'skii
Keyword(s):  
Steady State ◽  
Nonlinear Vibrations ◽  
Plates And Shells ◽  
Stability And Bifurcations

Methods of numerical investigation of nonlinear vibrations of flexible plates and shells

1985 ◽  
Vol 17 (11) ◽  
pp. 1570-1575
Author(s):  
G. V. Isakhanov ◽  
E. S. Dekhtyaryuk ◽  
E. D. Lumel'skii
Keyword(s):  
Numerical Investigation ◽  
Nonlinear Vibrations ◽  
Flexible Plates ◽  
Plates And Shells

Application of Variational Equation of Motion to the Nonlinear Vibration Analysis of Homogeneous and Layered Plates and Shells

1963 ◽  
Vol 30 (1) ◽  
pp. 79-86 ◽  
Author(s):  
Yi-Yuan Yu
Keyword(s):  
Nonlinear Vibration ◽  
Nonlinear Vibrations ◽  
Variational Equation ◽  
Equations Of Motion ◽  
Equation Of Motion ◽  
Free Vibrations ◽  
Layered Plates ◽  
Variational Approximations ◽  
Elastic Systems ◽  
Plates And Shells

An integrated procedure is presented for applying the variational equation of motion to the approximate analysis of nonlinear vibrations of homogeneous and layered plates and shells involving large deflections. The procedure consists of a sequence of variational approximations. The first of these involves an approximation in the thickness direction and yields a system of equations of motion and boundary conditions for the plate or shell. Subsequent variational approximations with respect to the remaining space coordinates and time, wherever needed, lead to a solution to the nonlinear vibration problem. The procedure is illustrated by a study of the nonlinear free vibrations of homogeneous and sandwich cylindrical shells, and it appears to be applicable to still many other homogeneous and composite elastic systems.

Passive Control of a Rectangular Plate Using Strategic Cut-Outs

2005 ◽  
Author(s):  
Manfred H. Ulz ◽  
S. Eren Semercigil
Keyword(s):  
Heat Dissipation ◽  
Passive Control ◽  
Numerical Study ◽  
Classical Case ◽  
External Excitation ◽  
Dynamic Vibration Absorber ◽  
Numerical Predictions ◽  
Design Charts ◽  
Modes Of Vibration ◽  
Plates And Shells

Perforations and cut-outs are widely used in plates and shells to facilitate heat dissipation, and to provide access to different components. It is generally expected that the dynamic behavior will deteriorate because of the presence of the cut-out. As a result, vibrations due to an external excitation will be larger than those of the case without a cut-out. Summary of a numerical study is presented in this paper to investigate the possibility of making a rectangular cut-out for the purposes of employing this cut-out as a Dynamic Vibration Absorber. The concept is similar to that of the classical case. However, instead of adding an auxiliary structure, the part of the plate is suggested to act as an absorber in the form of a “designed” cut-out. The process involves numerical modeling using standard finite elements. The plate is excited with an impact force to insure the participation of the multiple modes of vibration. The numerical predictions are presented in the form of design charts to indicate the conditions under which vibration control may be possible.

scholarly journals Research and Simulation on Solids-Conveyance Law of the Shale Shaker

2016 ◽  
Vol 9 (1) ◽  
pp. 33-43 ◽  
Author(s):  
S.Z. Zhou ◽  
S. Zhang ◽  
Z.P. Lv ◽  
L. Qin
Keyword(s):  
Vibration Frequency ◽  
Structural Strength ◽  
Numerical Study ◽  
Great Influence ◽  
Solid Particles ◽  
Movement Speed ◽  
Soft Sphere ◽  
Frequency Excitation ◽  
Working Performance ◽  
Working Parameters

This work presents a numerical study on the solid particles conveyance behavior of a shale shaker used in oil production. The particle flow is simulated by discrete element method based on Soft-Sphere model and Hertz-Mindlin contact model. Two important factors, conveyance velocity and filter ratio, are selected to describe the working performance of shale shaker. The influences on that of three important working parameters, vibration frequency, excitation directions, screen slope, are studied. The results show that conveyance velocity is approximately linearly related to the three factors. In addition, particle size has a great influence on conveyance velocity as well. Filter ratio decreases with the increase in vibration frequency, while the two other factors have little influence on it. So appropriately increasing vibration frequency on the premise of satisfying the structural strength of shale shaker can not only increase movement speed, but also reduce the filtering ratio.

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