• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제24권3호
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• pp.293-303
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• 2020

The present work aims to analyzed the transient thermoelastic stress analysis of a thin circular plate with uniform internal heat generation. Initially, the plate is characterized by a parabolic temperature distribution along the z-direction given by T = T₀(r, z) and perfectly insulated at the ends z = 0 and z = h. For times t > 0, the surface r = a is subjected to convection heat transfer with convection coefficient h_c and fluid temperature T_∞. The integral transform method used to obtain the analytical solution for temperature, displacement, and thermal stresses. The associated thermoelastic field is analyzed by making use of the temperature and thermoelastic displacement potential function. Numerical results are carried out with the help of computational software PTC Mathcad Prime-3.1 and shown in figures.

• Korean Journal of Mathematics
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• 제31권2호
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• pp.153-160
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• 2023

In this paper, we study the growth of polynomials P(z) of degree n defined by $P(z)=z^s(a_0+\sum\limits_{j=t}^{n-s}a_jz^j)$, t ≥ 1, 0 ≤ s ≤ n-1 which do not vanish in the disk |z| ≤ k, k ≥ 1 except for the s-fold zeros at origin. Our result generalises and refines many results known in the literature.

• 한국미생물·생명공학회지
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• 제18권3호
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• pp.268-272
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• 1990

Zymomonas mobilis의 알코올 탈수소 효소 유전자가 클로닝된 대장균 형질전환체의 세포 추출물로부터 알코올 탈수소 효소를 분리정제하였다. 형질전환된 Escherichia coli(pADS93)가 생산하는 Z.mobilis 유전자 유래의 알코올 탈수소 효소는 분자량이 40,000인 동일한 4개의 subunits로 구성된 tetramer임이 밝혀졌으며 이것은 Z.mobilis의 세포 추출물로부터 분리한 알코올 탈수소 효소와 동일하였다. 이 효소의 정반응(ethanol 산화)은 pH의 영향을 많이 받으며 pH는 10.0이었고 역반응(acetaldehyde 환원)에서는 최적의 pH가 7.5-8.5 이었지만 pH에 따라 크게 영향을 받지는 않았다.

• 한국자기학회지
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• 제7권1호
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• pp.1-6
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• 1997

비정질 Fe$_{78}$B$_{13}$Si$_{9}$의 자기 임피던스 효과를 측정하였다. 자기 임피던스 효과는 자성체 시료의 임피던스가 시료에 걸어준 자기장에 따라서 달라지는 현상이다. MIR(Magneto-Impedance Ratios)은 .DELTA. .ZETA. / .ZETA. .iden. [ .ZETA. (0) / .ZETA. ( $H_{s}$ )]-1로 정의되며, $H_{s}$ 는 시료 방향으로 자기장을 가하여 임피던스가 포화될 때의 자기장의 세기이다. 본 시료의 MIR값은 진공중에서 열처리하였을 때 일반적으로 감소하였으며, 5 MHz를 걸어준 상태에서 열처리를 할 때 58% 이상 증가하였다.

• 대한수학회논문집
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• 제18권4호
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• pp.653-659
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• 2003

Let $1{\;}\leq{\;}p{\;}\infty{\;}and{\;}{\alpha}{\;}>{\;}-1$. If f is a holomorphic self-map of the open unit disc U of C with f(0) = 0, then the quantity $\int_U\;\{\frac{$\mid$f'(z)$\mid$}{1\;-\;$\mid$f(z)$\mid$^2}\}^p\;(1\;-\;$\mid$z$\mid$)^{\alpha+p}dxdy$ is equivalent to the operator norm of the composition operator $C_f{\;}:{\;}B{\;}\rightarrow{\;}A^{p,{\alpha}$ defined by $C_fh{\;}={\;}h{\;}\circ{\;}f{\;}-{\;}h(0)$, where B and $A^{p,{\alpha}$ are the Bloch space and the weighted Bergman space on U respectively.

• 대한수학회보
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• 제41권3호
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• pp.457-464
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• 2004

Let X be a Banach space and Z a closed subspace of a Banach space Y. Denote by Ｌ(X, Y) the space of all bounded linear operators from X to Y and by Ｋ(X, Y) its subspace of compact linear operators. Using Hahn-Banach extension operators corresponding to ideal projections, we prove that if either $X^{**}$ or $Y^{*}$ has the Radon-Nikodym property and Ｋ(X, Y) is an M-ideal (resp. an HB-subspace) in Ｌ(X, Y), then Ｋ(X, Z) is also an M-ideal (resp. HB-subspace) in Ｌ(X, Z). If Ｌ(X, Y) has property SU instead of being an M-ideal in Ｌ(X, Y) in the above, then Ｋ(X, Z) also has property SU in Ｌ(X, Z). If X is a Banach space such that $X^{*}$ has the metric compact approximation property with adjoint operators, then M-ideal (resp. HB-subspace) property of Ｋ(X, Y) in Ｌ(X, Y) is inherited to Ｋ(X, Z) in Ｌ(X, Z).

• 대한수학회보
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• 제55권6호
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• pp.1859-1868
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• 2018

In the present paper, we have proved the sharp inequality ${\mid}H_{3,1}(f){\mid}{\leq}4$ and ${\mid}H_{3,1}(f){\mid}{\leq}1$ for analytic functions f with $a_n:=f^{(n)}(0)/n!$, $n{\in}{\mathbb{N}},$, such that $$Re\frac{f(z)}{z}>{\alpha},\;z{\in}{\mathbb{D}}:=\{z{\in}{\mathbb{C}}:{\mid}z{\mid}<1\}$$ for ${\alpha}=0$ and ${\alpha}=1/2$, respectively, where $$H_{3,1}(f):=\left|{\array{{\alpha}_1&{\alpha}_2&{\alpha}_3\\{\alpha}_2&{\alpha}_3&{\alpha}_4\\{\alpha}_3&{\alpha}_4&{\alpha}_5}}\right|$$ is the third Hankel determinant.

• Steel and Composite Structures
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• 제39권1호
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• pp.1-20
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• 2021

An exact solution based on refined third-order theory (TOT) has been presented for functionally graded porous curved beams having deep curvature. The displacement field of the refined TOT is derived by imposing the shear free conditions at the outer and inner surfaces of curved beams. The properties of the two phase composite are tailored according the power law rule and the effective properties are computed using Mori-Tanaka homogenization scheme. The equations of motion as well as consistent boundary conditions are derived using the Hamilton's principle. The curved beam stiffness coefficients (A, B, D) are obtained numerically using six-point Gauss integration scheme without compromising the accuracy due to deepness (1 + z/R) terms. The porosity has been modeled assuming symmetric (even) as well as asymmetric (uneven) distributions across the cross section of curved beam. The programming has been performed in MATLAB and is validated with the results available in the literature as well as 2D finite element model developed in ABAQUS. The effect of inclusion of 1 + z/R terms is studied for deflection, stresses and natural frequencies for FG curved beams of different radii of curvature. Results presented in this work will be useful for comparison of future studies.

• 대한수학회지
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• 제52권6호
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• pp.1139-1148
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• 2015

The estimate of third Hankel determinant $$H_{3,1}(f)=\left|a_1\;a_2\;a_3\\a_2\;a_3\;a_4\\a_3\;a_4\;a_5\right|$$ of the analytic function $f(z)=z+a2z^2+a3z^3+{\cdots}$, for which ${\Re}(1+zf^{{\prime}{\prime}}(z)/f^{\prime}(z))>-1/2$ are investigated. The corrected version of a known results [2, Theorem 3.1 and Theorem 3.3] are also obtained.

• 전력전자학회:학술대회논문집
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• 전력전자학회 2006년도 전력전자학술대회 논문집
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• pp.545-548
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• 2006

This paper presents control method of a Z-source inverter and their relationships of voltage boost versus modulation index. A maximum boost control is presented to produce the maximum voltage boost(or voltage gain)under a given modulation index. The control method, relationships of voltage gain versus modulation index, and voltage stress versus voltage gain are analyzed in detail and verified by experiment.