Two-dimensional problem concerning the impact of a rigid body onto a thin elastic plate lying on the surface of a compressible fluid

1991 ◽  
Vol 27 (9) ◽  
pp. 875-881
Author(s):  
V. D. Kubenko ◽  
V. V. Gavrilenko
Keyword(s):  
Rigid Body ◽  
Elastic Plate ◽  
Compressible Fluid ◽  
Thin Elastic Plate ◽  
Two Dimensional ◽  
Dimensional Problem ◽  
The Impact

Simulation of a Cantilevered Thin-Elastic Plate with Large Deformation Subjected to Axial Flow

2014 ◽  
Vol 1065-1069 ◽  
pp. 2069-2075
Author(s):  
Wei Bin Hong ◽  
Chang Qing Guo ◽  
Ye Zhou Sheng
Keyword(s):  
Flow Velocity ◽  
Large Deformation ◽  
Elastic Plate ◽  
Stokes Equations ◽  
Axial Flow ◽  
Navier Stokes ◽  
Thin Elastic Plate ◽  
Two Dimensional ◽  
Vibration Responses ◽  
Displacement Based

The instability and dynamics behavior of a cantilevered thin-elastic plate with large deformation subjected to axial flow is studied numerically. The structural dynamics equation is discretized by isoparametric displacement-based finite, and the motion of a continuous fluid domain is governed by two-dimensional incompressible viscous Navier-Stokes equations, which discretized by finite volume method. The two-dimensional numerical model of two-way fluid-structure coupling is established combined with moving mesh technology, realizing the interaction of thin-elastic plate and axial fluid. Firstly, under given different flow velocity, the stability of limit-cycle oscillations has been studied through Hopf bifurcation, time trace, vibration responses. Secondly, the fluid domain features are analyzed qualitatively by separately comparing with vorticity under given different flow velocity, and cloud diagram of pressure and velocity are also analyzed at U=3.6m/s.

scholarly journals The Response of a Poroelastic Ice Plate to an External Pressure

2021 ◽  
pp. 87-97
Author(s):  
Kristina N. Zavyalova ◽  
Konstantin A. Shishmarev ◽  
Alexander A. Korobkin
Keyword(s):  
Linear Theory ◽  
Elastic Plate ◽  
External Load ◽  
Oscillation Frequency ◽  
Hydrodynamic Pressure ◽  
Ice Cover ◽  
External Pressure ◽  
Two Dimensional ◽  
Liquid Penetration ◽  
Dimensional Problem

The response of a poroelastic ice cover to an external load is considered. The ice cover is modeled by a thin poroelastic floating plate within the linear theory of hydroelasticity. The porosity parameter is defined as the coefficient of proportionality of the velocity of liquid penetration into the plate and hydrodynamic pressure. The fluid under the plate is inviscid and incompressible. The flow caused by the ice deflection is potential. The external load is modeled by a localized smooth pressure. The two-dimensional problem of waves caused by a periodic external pressure on a floating porous-elastic plate is considered. The profiles of the generated waves are calculated for a given oscillation frequency of the amplitude of the external pressure. It was found that taking porosity into account leads to damping of oscillations in a distance from the external load

Dynamics of a Plate in Large Overall Motion

1989 ◽  
Vol 56 (4) ◽  
pp. 887-892 ◽  
Author(s):  
A. K. Banerjee ◽  
T. R. Kane
Keyword(s):  
Rigid Body ◽  
Reference Frame ◽  
Elastic Plate ◽  
Equations Of Motion ◽  
Three Dimensional ◽  
Present Theory ◽  
Thin Elastic Plate ◽  
Vibration Modes ◽  
Simply Supported ◽  
Rigid Body Motions

Equations of motion are formulated for a thin elastic plate that is executing small motions relative to a reference frame undergoing large rigid body motions (three-dimensional rotation and translation) in a Newtonian reference frame. As an illustrative example, a spin-up maneuver for a simply-supported rectangular plate is examined, and the vibration modes of such a plate are used to show that the present theory captures the phenomenon of dynamic stiffening.

scholarly journals On waves in an elastic plate

1917 ◽  
Vol 93 (648) ◽  
pp. 114-128 ◽  
Keyword(s):  
Elastic Plate ◽  
Wave Length ◽  
Present Writer ◽  
Elastic Theory ◽  
Simple Problem ◽  
Two Dimensional ◽  
Dimensional Problem ◽  
Practical Solution ◽  
The Subject ◽  
Mathematical Difficulties

The theory of waves in an infinitely long cylindrical rod was discussed by Pochhammer in 1876 in a well-known paper. The somewhat simpler problem of two-dimensional waves in a solid bounded by parallel planes was considered by Lord Rayleigh and by the present writer‡ in 1889. The main object in these various investigations was to verify, or to ascertain small corrections to, the ordinary theory of the vibrations of thin rods or plates, and the wave-length was accordingly assumed in the end to be great in comparison with the thickness. It occurred to me some time ago that a further examination of the two-dimensional problem was desirable for more than one reason. In the first place, the number of cases in which the various types of vibration of a solid, none of whose dimensions is regarded as small, have been studied is so restricted that any addition to it would have some degree of interest, if merely as a contribution to elastic theory. Again, modern seismology has suggested various questions relating to waves and vibrations in an elastic stratum imagined as resting on matter of a different elasticity and density. These questions naturally present great mathematical difficulties, and it seemed unpromising to attempt any further discussion of them unless the comparatively simple problem which forms the subject of this paper should be found to admit of a practical solution. In itself it has, of course, no bearing on the questions referred to.

scholarly journals Assessment of radiation heat transfer influence on parameters of temperature fields of various design fuel rods

Vestnik IGEU ◽  
2021 ◽  
pp. 23-31
Author(s):  
V.A. Gorbynov ◽  
S.G. Andrianov ◽  
S.S. Konovaltseva
Keyword(s):  
Heat Transfer ◽  
Radiation Heat Transfer ◽  
Temperature Fields ◽  
Two Dimensional ◽  
Dimensional Problem ◽  
Radiation Heat ◽  
Problem Statement ◽  
Fuel Rods ◽  
Fuel Rod ◽  
The Impact

VVER-1000 reactors use cylindrical smooth-core fuel rods. Previously, a model to determe the fuel rod temperature field in a two-dimensional problem statement has been developed and verified. However, modelling assumptions do not consider the influence of variable thermophysical properties, radiation heat transfer, and the opening in the fuel rod on the final parameters of the temperature fields. The impact assessment is an urgent task to improve the economic efficiency of the fuel cycle and the capacity of power units. To develop models and study the features of energy release in nuclear reactors, a numerical package of thermophysical modeling COMSOL Multiphysics software is used. The simulation of temperature fields is performed based on the heat equation with an internal heat source, under the boundary conditions of the second kind at the ends of the fuel rod and the boundary conditions of the third kind on the side surface of the rod. Аn axisymmetric model in two-dimensional problem statement and a three-dimensional model of the fuel rod are developed. The temperature distribution fields are determined by the finite element method. The results of calculations of various design fuel rods are presented. The results have showen that the radiation heat transfer significantly affects the maximum fuel temperature (UO2). The impact degree of variability of thermophysical properties and radiation heat transfer is determined. It was found that the temperature characteristics under different specified conditions have a difference in the range of 15,5–282,0 K (0,8–14,4 %). The developed models are reliable and confirmed by the previously verified model, the characteristics of the fuel assembly used on the VVER-1000 units. The results presented can be used for mathematical modeling of heat transfer processes, both during the modernization of the equipment in operation, and during the development, design, and operation, which will increase the efficiency of electric energy generation at the power unit of a nuclear power plant.

Modifications of the Godunov method for computing disturbance propagation in an elastic body

2016 ◽  
Vol 11 (1) ◽  
pp. 119-126 ◽  
Author(s):  
A.A. Aganin ◽  
N.A. Khismatullina
Keyword(s):  
Elastic Body ◽  
Godunov Method ◽  
Two Dimensional ◽  
Dimensional Problem ◽  
Order Accuracy ◽  
One Dimensional ◽  
Disturbance Propagation ◽  
Linear Waves ◽  
Longitudinal And Shear Waves ◽  
Contact Discontinuities

Numerical investigation of efficiency of UNO- and TVD-modifications of the Godunov method of the second order accuracy for computation of linear waves in an elastic body in comparison with the classical Godunov method is carried out. To this end, one-dimensional cylindrical Riemann problems are considered. It is shown that the both modifications are considerably more accurate in describing radially converging as well as diverging longitudinal and shear waves and contact discontinuities both in one- and two-dimensional problem statements. At that the UNO-modification is more preferable than the TVD-modification because exact implementation of the TVD property in the TVD-modification is reached at the expense of “cutting” solution extrema.

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