Effect of aspect ratio and end plates on rotational oscillations of thick plates in air flow

Author(s):  
R V Shmigirilov ◽  
A N Ryabinin
2018 ◽  
Vol 4 (2) ◽  
pp. 61
Author(s):  
Yaprak Itır Özdemir

The purpose of this paper is to study free vibration analysis of thick plates resting on Winkler foundation using Mindlin’s theory with first order finite element, to determine the effects of the thickness/span ratio, the aspect ratio, subgrade reaction modulus and the boundary conditions on the frequency parameters of thick plates subjected to free vibration. In the analysis, finite element method is used for spatial integration. Finite element formulation of the equations of the thick plate theory is derived by using first order displacement shape functions. A computer program using finite element method is coded in C++ to analyze the plates free, clamped or simply supported along all four edges. In the analysis, 4-noded finite element is used. Graphs are presented that should help engineers in the design of thick plates subjected to earthquake excitations. It is concluded that 4-noded finite element can be effectively used in the free vibration analysis of thick plates. It is also concluded that, in general, the changes in the thickness/span ratio are more effective on the maximum responses considered in this study than the changes in the aspect ratio.


The scope of the present paper is concerned with the numerical prediction of the confined air flow characteristics and thermal convection patterns in sealed attic spaces in roofs with upper inverted V-shapes and horizontal suspended ceilings of conventional houses and buildings. For these isosceles triangular cavities, two relevant cases involve prescribed wall temperatures wherein the bottom base wall is cooled/heated and the upper two inclined walls are symmetrically heated/cooled during the summer and winter seasons. Based on finite element analysis, the COMSOL code is implemented to perform numerical solutions of the two-dimensional system of coupled NavierStokesBoussinesq and energy equations. The computational domain is made coincident with the physical domain to handle potential non-symmetric velocities and non-symmetric temperatures that may occur when exposed to vigorous air flows. The numerical solution via finite elements provides the two velocity fields u (x, y), v (x, y) and the temperature field T (x, y) for the confined air flows. Overall, the target design quantity is the mean wall heat fluxes w q varying with the attic aspect ratio and the temperature difference at two opposing walls. The predicted w q values match the experimental measurements for the two distinct cases related to summer and winter seasons. At the end, comprehensive correlation equations are constructed for the quantification of the mean Nusselt number in terms of the Grashof number and the attic aspect ratio, which could be used in building science research.


2020 ◽  
Vol 42 ◽  
pp. 33
Author(s):  
Felipe Augusto Lustosa Meireles Freitas ◽  
Ronaldo Barcelos e Silva ◽  
Leonardo Da Rosa Schmidt ◽  
Silvana Maldaner ◽  
Lucinéia Fabris

 An experimental performance study of Savonius small rotors is performed in this work. Two Savonius prototypes, two blades and the same aspect ratio, were constructed from vinyl polychloride and use different air flow. Experimental tests allowed the rotation speed of each rotor to be determined for different air flows. It is important to note that the average angular velocity of the smaller rotor is approximately fifty percent higher than the larger rotor. At the same time, the absorption torque on the rotor shaft was measured and the mechanical power of each Savonius wind turbine prototype was estimated. The main result was that wind turbines of the same aspect ratio have different performances.


2010 ◽  
Vol 17 (6) ◽  
pp. 771-785
Author(s):  
Y.I. Özdemir ◽  
Y. Ayvaz

The purpose of this paper is to study parametric earthquake analysis of thick plates using Mindlin's theory, to determine the effects of the thickness/span ratio, the aspect ratio and the boundary conditions on the linear responses of thick plates subjected to earthquake excitations and to present the frequency parameters and the mode shapes of the same plates. In the analysis, finite element method is used for spatial integration and the Newmark-βmethod is used for time integration. A computer program using finite element method is coded in C++ to analyze the plates clamped or simply supported along all four edges. In the analysis, 8-noded finite element is used. Graphs and tables are presented that should help engineers in the design of thick plates subjected to earthquake excitations. It is concluded that, in general, the changes in the thickness/span ratio are more effective on the maximum responses considered in this study than the changes in the aspect ratio. It is also concluded that the effects of the change in the thickness/span ratio on the frequency parameter of the thick plates are always larger than those of the change in the aspect ratio.


Author(s):  
А.В. Воеводин ◽  
Д.А. Петров ◽  
А.С. Петров ◽  
В.Г. Судаков ◽  
Г.Г. Судаков

The numerical method validation using the Reynolds equations and calculations were made for the case of infinite aspect ratio rectangular wing, which is streamed by a transonic unbounded air flow in buffet regime. It is shown, that instead of 2D flow, a periodical flow along the lateral direction is realized. Furthermore, the oscillations in time along the longitudinal direction (buffet) take place. The presence of the side wind tunnel walls deforms this periodical structure and changes the buffet frequency. Calculations of the wing-body combination flow show that the oscillations take place inside the restricted wing area both along longitudinal and lateral directions.


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