• Steel and Composite Structures
• /
• 제26권5호
• /
• pp.649-662
• /
• 2018

In this study, based on the three-dimensional theory of elasticity, free vibration characteristics of sandwich sectorial plates with multiwalled carbon nanotube-(MWCNT)-reinforced composite core are considered. Modified Halpin-Tsai equation is used to evaluate the Young's modulus of the MWCNT/epoxy composite samples by the incorporation of an orientation as well as an exponential shape factor in the equation. The exponential shape factor modifies the Halpin-Tsai equation from expressing a straight line to a nonlinear one in the MWCNTs wt% range considered. In this paper, free vibration of thick functionally graded sandwich annular sectorial plates with simply supported radial edges and different circular edge conditions including simply supported-clamped, clamped-clamped, and free-clamped is investigated. A semi-analytical approach composed of two-dimensional differential quadrature method and series solution are adopted to solve the equations of motion. The material properties change continuously through the core thickness of the plate, which can vary according to a power-law, exponentially, or any other formulations in this direction. This study serves as a benchmark for assessing the validity of numerical methods or two-dimensional theories used to analysis of laminated sectorial plates.

• 한국윤활학회:학술대회논문집
• /
• 한국윤활학회 1999년도 제30회 추계학술대회
• /
• pp.146-153
• /
• 1999

A numerical dynamic simulation is necessary to investigate the capacity of the HDD. The slider surface become more and more complicated to make the magnetized area smaller and readback signal stronger. So a numerical dynamic simulation must be preceded to develop a new slider in HDD. The dynamic simulations of air-lubricated slider bearing have been peformed using FIFD(Factored Implicit Finite Difference) method. The governing equation, Reynolds equation Is modified with Fukui and Kaneko model(FK model) which includes the first and the second-order slip. The equations of motion for the slider bearing are solved simultaneously with the modified Reynolds equation for the case of three degrees of freedom. The slider transient response for disk step bump and slider impulse force is given for various case and for iteration algorithm and new algorithm.

• Journal of applied mathematics & informatics
• /
• 제8권2호
• /
• pp.581-590
• /
• 2001

In this paper we prove a local stability of Gavruta’s theorem for the generalized Hyers-Ulam-Rassias Stability of Cauchy functional equation.

• 대한수학회보
• /
• 제34권3호
• /
• pp.437-446
• /
• 1997

In this paper, the Hyers-Ulam stability and the general Hyers-Ulam stability (more precisely, modified Hyers-Ulam-Rassias stability) of the gamma functional equation (3) in the following setings $$ \left$\mid$ f(x + 1) - xf(x) \right$\mid$ \leq \delta and \left$\mid$ \frac{xf(x)}{f(x + 1)} - 1 \right$\mid$ \leq \frac{x^{1+\varepsilon}{\delta} $$ shall be proved.

• Journal of the Korean Statistical Society
• /
• 제26권1호
• /
• pp.23-30
• /
• 1997

We show that the Maximum Penalized Likelihood Estimate uniquely exits in a Sobolve spece which consists of bivariate density functions. The Maximum Penalized Likehood Estimate is represented as the square of the sum of the solutions of the Modified Helmholtz's equation on the compact subset of R$^{2}$.

• 대한수학회논문집
• /
• 제15권1호
• /
• pp.173-181
• /
• 2000

The objective of this paper is to study two dimensional steady gravitational waves on the interface between two immiscible, inviscid and incompressible fluids bounded above by a horizontal rigid boundary and below by a rigid step. A KdV equation for the first order perturbation in an asymptotic expansion can appear. However the coefficient of the KdV theory fails in that case. By a unified asymptotic method, we overcome this difficulty and derive a modified KdV equation with forcing. We find homogeneous steady solutions and present numerical solutions.

• Kyungpook Mathematical Journal
• /
• 제49권1호
• /
• pp.81-93
• /
• 2009

Bifurcation method of dynamical systems is employed to investigate exact solitary wave solutions and kink wave solutions in the generalized modified Boussinesq equation. Under some parameter conditions, their explicit expressions are obtained. Some previous results are extended.

• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제14권4호
• /
• pp.279-282
• /
• 2007

Using the center instead of the Lipschitz condition we show how to provide weaker sufficient convergence conditions of the modified Newton Kantorovich method for the solution of nonlinear singular integral equations with Curleman shift (NLSIES). Finer error bounds on the distances involved and a more precise information on the location of the solution are also obtained and under the same computational cost than in [1].

• East Asian mathematical journal
• /
• 제23권2호
• /
• pp.257-260
• /
• 2007

Using the center instead of the Lipschitz condition we show how to provide weaker sufficient convergence conditions of the modified Newton Kantorovich method for the solution of nonlinear singular integral equations with Curleman shift (NLSIES). Finer error bounds on the distances involved and a more precise information on the location of the solution are also obtained and under the same computational cost than in [1].

• 한국농림기상학회지
• /
• 제21권4호
• /
• pp.238-249
• /
• 2019

기준증발산량은 기온, 풍속, 습도 등 기상요소를 바탕으로 추정하는 방법을 이용하고 있으며, Hargreaves 공식은 기온자료를 이용하여 기준증발산량을 산정할 수 있는 간단한 경험식이라 할 수 있다. 그러나 Hargreaves 공식은 풍속이 3 m s^-1 이상인 지역에서는 과소평가 되고, 상대습도가 높은 지역은 과대평가 되는 경향이 있다. 본 연구에서는 Hargreaves 공식을 우리나라에 적용하기 위해 보다 정확한 기준증발산량 추정이 가능하도록 계수 산정 연구를 수행하였다. 우리나라 종관기상관측지점(ASOS, Automated Synoptic Observing System)의 최근 11 년(2008-2018) 동안의 기상자료를 이용하여 Panman-Monteith 공식으로 기준증발산량을 추정하였고, 이 값을 기준으로 하여 각 지점별로 Hargreaves 공식의 계수를 보정하였다. 우리나라 82 개 지점에 대하여 지역별로 보정된 계수는 내륙지역이 50 개 지점이며, 0.00173~0.00232(평균0.00196)로 기본값인 0.0023 과 비슷하거나 낮게 산정되었다. 반면, 해안지역은 32 개 지점이며 지역별로 보정된 계수의 범위는 0.00185~0.00303(평균 0.00234)으로 동해안지역은 기본값과 비슷하거나 높게 산정된 반면, 서해안과 남해안지역은 지역별로 편차가 크게 나타났다. Hargreaves 공식의 계수를 보정하여 기준증발산량을 추정한 결과 RMSE(Root Mean Square Error)는 계수 보정 전 0.634~1.394(평균 0.857)에서 계수 보정 후 0.466~1.328(평균 0.701)로 낮아지고, NSC(Nash-Sutcliffe Coefficient)는 계수 보정 전 -0.159~0.837(평균 0.647)에서 계수 보정 후 -0.053~0.910(평균 0.755)로 높아짐에 따라 기준증발산량의 추정효율이 크게 향상되는 것으로 나타났다. 연구 결과, Hargreaves 공식을 그대로 이용할 경우 Penman-Monteith 공식에 비해 과대 또는 과소 산정될 수 있음을 확인하였으며, 계수를 보정하여 이용할 경우 정확도가 높은 기준증발산량을 추정할 수 있을 것으로 판단된다.