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Seoudy, Tamer Mohamed Department of Mathematics 2018 Kyungpook mathematical journal Vol.58 No.2
We introduce several k-uniformly subclasses of p-valent functions defined by the generalized fractional differintegral operator and investigate various inclusion relationships for these subclasses. Some interesting applications involving certain classes of integral operators are also considered.
Numerical estimation of dynamic behavior of viscoelastic elastomer specimen
Basel M. Seoudi,김상현,H. H. Chun,Inwon Lee 대한기계학회 2008 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.22 No.6
Dynamic deformation behavior of a cylindrical specimen made of viscoelastic elastomers was investigated numerically by solving the two-dimensional elastic wave equations. In order to enhance the accuracy of the viscoelastic property calculations, a pseudospectral analysis of two-dimensional elastic wave equation was employed. This allowed us to exclude the use of the form factor derived from the conventional one-dimensional model. Using the present method, an assessment of the conventional form factor concept was attempted. The present two-dimensional method was then utilized to predict a forced vibration response of the elastomer samples under periodic excitation. Obtained numerical results were compared with those using the simplest one-dimensional model. Applicable range of the form factor was examined. Empirical formulas to correct static and dynamic form factors for elastic deformation mode, which are suitable for engineering applications, are suggested.
Aouf, Mohamed K.,Seoudy, Tamer M. Korean Mathematical Society 2011 대한수학회보 Vol.48 No.3
In this paper, we obtain some applications of first order differential subordination and superordination results for higher-order derivatives of p-valent functions involving certain linear operator. Some of our results improve and generalize previously known results.
M. K. Aouf,Tamer M. Seoudy 대한수학회 2011 대한수학회보 Vol.48 No.3
In this paper, we obtain some applications of first order differential subordination and superordination results for higher-order derivatives of p-valent functions involving certain linear operator. Some of our results improve and generalize previously known results.
I. Aldawish,M.K. Aouf,T.M. Seoudy,B.A. Frasin 한국전산응용수학회 2022 Journal of applied mathematics & informatics Vol.40 No.3
In this paper, we introduce and investigate two new subclasses of p-valent analytic functions of complex order defined by using q-p-valent Bernardi integral operator. Also we obtain coefficient estimates and consequent inclusion relationships involving the \left( q,m,\delta \right)-neighborhoods of these subclasses.
Measurement method of complex viscoelastic material properties
Boiko, A.V.,Kulik, V.M.,Seoudi, B.M.,Chun, H.H.,Lee, I. Pergamon Press ; Elsevier Science Ltd 2010 International journal of solids and structures Vol.47 No.3
A measurement technique of viscoelastic properties of polymers is proposed to investigate complex Poisson's ratio as a function of frequency. The forced vibration responses for the samples under normal and shear deformation are measured with varying load masses. To obtain modulus of elasticity and shear modulus, the present method requires only knowledge of the load mass, geometrical characteristics of a sample, as well as both the amplitude ratio and phase lag of the forcing and response oscillations. The measured data were used to obtain the viscoelastic properties of the material based on a 2D numerical deformation model of the sample. The 2D model enabled us to exclude data correction by the empirical form factor used in 1D model. Standard composition (90% PDMS polymer+10% catalyst) of silicone RTV rubber (Silastic<SUP>(</SUP>R) S2) were used for preparing three samples for axial stress deformation and three samples for shear deformation. Comprehensive measurements of modulus of elasticity, shear modulus, loss factor, and both real and imaginary parts of Poisson's ratio were determined for frequencies from 50 to 320Hz in the linear deformation regime (at relative deformations 10<SUP>-6</SUP> to 10<SUP>-4</SUP>) at temperature 25<SUP>o</SUP>C. In order to improve measurement accuracy, an extrapolation of the obtained results to zero load mass was suggested. For this purpose measurements with several masses need to be done. An empirical requirement for the sample height-to-radius ratio to be more than 4 was found for stress measurements. Different combinations of the samples with different sizes for the shear and stress measurements exhibited similar results. The proposed method allows one to measure imaginary part of the Poisson's ratio, which appeared to be about 0.04-0.06 for the material of the present study.
Time-Resolved PIV Investigation on the Unsteadiness of a Low Reynolds Number Confined Impinging Jet
Kim, K. C.,Min, Y. U.,Oh, S. J.,An, N. H.,Seoudi, B.,Chun, H. H.,Lee, I. Ohmsha 2007 JOURNAL OF VISUALIZATION Vol.10 No.4
<P>The flow characteristics in a confined slot jet impinging on a flat plate were investigated in low Reynolds number regime by using time-resolved Particle Image Velocimetry technique. The jet Reynolds number was varied from 404 to 1026, where it is presumed that the transient regime exists. We found that the vortical structures in the shear layer are developed with increase of Reynolds number and that the jet becomes remains steady at the Reynolds number of 404. Vortical structures and their temporal evolution are verified and the results were compared with previous numerical studies. </P>