• 한국콘크리트학회:학술대회논문집
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• 한국콘크리트학회 2006년도 춘계 학술발표회 논문집(II)
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• pp.189-192
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• 2006

This study was performed to suggest the mediocre prediction equation of chloride diffusion coefficient which is used to estimate the service life of marine concrete, in order to provide the useful data for concrete mix design of marine concrete. As a result, the mediocre prediction equation of chloride diffusion coefficient which set W/B and mineral admixture replacement ratio as parameters was presented by performing the multivariate non linear regression analysis.

• 대한수학회보
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• 제56권6호
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• pp.1447-1465
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• 2019

In this paper, the relativistic Vlasov-Klein-Gordon system in one dimension is investigated. This non-linear dynamics system consists of a transport equation for the distribution function combined with Klein-Gordon equation. Without any assumption of continuity or compact support of any initial particle density $f_0$, we prove the existence and uniqueness of the mild solution via the iteration method.

• 한국강구조학회 논문집
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• 제10권4호통권37호
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• pp.691-700
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• 1998

본 연구에서는 역대칭 또는 비대칭 적층쉘에 대한 Von Karman-Donnell 운동방정식을 기초로 한 다중 모드 접근법을 이용하여 양단이 단순지지 되고 다른 임의지지가 단순 또는 고정지지인 원통 쉘의 비선형 거동에 대해 연구하였다. 방정식은 모든 경계조건에 대해 만족하며, 변위함수는 최저 진동모드와 원주 방향의 변위의 연속성 조건을 만족하는 것으로 한다 비선형 진동 방정식은 Galerkin 법을 이용하여 유도하였고, 비선형 진동수는 조화평균법을 이용하여 적층 매개변수, 재료 상수, 종횡비 및 진동 진폭의 함수로서 표시하였다. 초기 진폭의 영향에 대해서는 4가지 형태의 경계조건에 대한 비선형 진동 결과를 비교 검토하였다.

• 한국지반공학회지:지반
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• 제4권3호
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• pp.27-34
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• 1988

고변형률을 받는 모래는 비선형 거동을 나타내게 된다. 본 연구에서는 석영질 모래의 공극비와 미세입자 (석영분말)함량을 변화시키면서 모래의 고변형률 진통특성을 공진주 실험을 이용하여 조사 하였다. 그 결과 석영분말을 취음에 따라 전단탄성계수와 감쇠비는 석영분말의 함량을 증가시킬수록 전단변형률에 대한 변화가 점점 더 완만하였고 공극비의 변화에 대해서는 그 변화가 두드러지지 못 하였다. 또한 Rainberg-Osgood방적식을 써서 흙의 진동특성과 전단변형률파의 관계를 고찰하였는 바 전 단탄성계수와 감쇠비 모두의 경우 R은 2.0정도이나 C는 시료상태 및 구속압력에 따라 200에서 3200까지의 큰 변화를 나타내었다.

• Korean Journal of Mathematics
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• 제25권1호
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• pp.45-60
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• 2017

This paper focuses on estimation of an non-integral quadratic function (NIQF) and integral quadratic function (IQF) of a random signal in dynamic system described by a linear stochastic differential equation. The quadratic form of an unobservable signal indicates useful information of a signal for control. The optimal (in mean square sense) and suboptimal estimates of NIQF and IQF represent a function of the Kalman estimate and its error covariance. The proposed estimation algorithms have a closed-form estimation procedure. The obtained estimates are studied in detail, including derivation of the exact formulas and differential equations for mean square errors. The results we demonstrate on practical example of a power of signal, and comparison analysis between optimal and suboptimal estimators is presented.

• 대한기계학회논문집A
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• 제30권8호
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• pp.949-956
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• 2006

The method of Greenwood and Williamson is extended to obtain a solution to the coupled non-linear problem of steady-state electrical and thermal conduction across a crack in a conductive layer, for which the electrical resistivity and thermal conductivity are functions of temperature. The problem can be decomposed into the solution of a pair of non-linear algebraic equations involving boundary values and material properties. The new mixed-boundary value problem given from the thermal and electrical boundary conditions for the crack in the conductive layer is reduced in order to solve a singular integral equation of the first kind, the solution of which can be expressed in terms of the product of a series of the Chebyshev polynomials and their weight function. The non-existence of the solution for an infinite conductor in electrical and thermal conduction is shown. Numerical results are given showing the temperature field around the crack.

• Steel and Composite Structures
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• 제27권6호
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• pp.761-775
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• 2018

In the present work, the recently developed non-polynomial shear deformation theories are assessed for thermo-mechanical response characteristics of laminated composite plates. The applicability and accuracy of these theories for static, buckling and free vibration responses were ascertained in the recent past by several authors. However, the assessment of these theories for thermo-mechanical analysis of the laminated composite structures is still to be ascertained. The response characteristics are investigated in linear and non-linear thermal gradient and also in the presence and absence of mechanical transverse loads. The laminated composite plates are modelled using recently developed six shear deformation theories involving different shear strain functions. The principle of virtual work is used to develop the governing system of equations. The Navier type closed form solution is adopted to yield the exact solution of the developed equation for simply supported cross ply laminated plates. The thermo-mechanical response characteristics due to these six different theories are obtained and compared with the existing results.

• Structural Engineering and Mechanics
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• 제22권1호
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• pp.107-130
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• 2006

The paper deals with the numerical solution of the dynamic problem of masonry structures. Masonry is modelled as a non-linear elastic material with zero tensile strength and infinite compressive strength. Due to the non-linearity of the adopted constitutive equation, the equations of the motion must be integrated directly. In particular, we apply the Newmark or the Hilber-Hughes-Taylor methods implemented in code NOSA to perform the time integration of the system of ordinary differential equations obtained from discretising the structure into finite elements. Moreover, with the aim of evaluating the effectiveness of these two methods, some dynamic problems, whose explicit solutions are known, have been solved numerically. Comparisons between the exact solutions and the corresponding approximate solutions obtained via the Newmark and Hilber-Hughes-Taylor methods show that in the cases under consideration both numerical methods yield satisfactory results.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제19권3호
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• pp.289-295
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• 2012

We research the properties of solutions of general higher order non-homogeneous linear differential equations and apply the hyper order to obtain more precise estimation for the growth of solutions of infinite order.

• 한국해양공학회지
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• 제14권1호
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• pp.1-5
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• 2000

A numerical analysis for wave motion in the shallow water is presented. The method is based on potential theory. The fully nonlinear free surface boundary condition is assumed in an inner domain and this solution is matched along an assumed common boundary to a linear solution in outer domain. In two-dimensional problem Cauchy's integral theorem is applied to calculate the complex potential and its time derivative along boundary.