• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 1997년도 추계학술대회논문집; 한국과학기술회관; 6 Nov. 1997
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• pp.145-153
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• 1997

Dynamic characteristics are investigated when a nonlinear system showing periodic and chaotic responses under harmonic excitation is exposed to random perturbation. About two well potential problem, probability of homoclinic bifurcation is estimated using stochastic generalized Meinikov process and quantitive characteristics are investigated by calculation of Lyapunov exponent. Critical excitaion is calculated by various assumptions about Gaussian Melnikov process. To verify the phenomenon graphically Fokker-Planck equation is solved numerically and the original nonlinear equation is numerically simulated. Numerical solution of Fokker-Planck equation is calculated on Poincare section and noise induced chaos is studied by solving the eigenvalue problem of discretized probability density function.

• Structural Engineering and Mechanics
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• 제18권2호
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• pp.195-209
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• 2004

By means of the two-dimensional basic equations of transversely isotropic magneto-electro-elastic media and the strict differential operator theorem, the general solution in the case of distinct eigenvalues is derived, in which all mechanical, electric and magnetic quantities are expressed in four harmonic displacement functions. Based on this general solution in the case of distinct eigenvalues, a series of problems is solved by the trial-and-error method, including magneto-electro-elastic rectangular beam under uniform tension, electric displacement and magnetic induction, pure shearing and pure bending, cantilever beam with point force, point charge or point current at free end, and cantilever beam subjected to uniformly distributed loads. Analytical solutions to various problems are obtained.

• Structural Engineering and Mechanics
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• 제59권1호
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• pp.1-14
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• 2016

In this paper, an alternative analytical method is presented to evaluate the nonlinear vibration behavior of single and double tapered cantilever beams. The admissible lateral displacement function satisfying the geometric boundary conditions of a single or double tapered cantilever beam is derived by using Rayleigh-Ritz method. Based on the Lagrange method and the Newton Harmonic Balance (NHB) method, analytical approximate solutions in closed and explicit form are obtained. These approximate solutions show excellent agreement with those of numeric method for small as well as large amplitude. Moreover, due to brevity of expressions, the present analytical approximate solutions are convenient to investigate effects of various parameters on the large amplitude vibration response of tapered beams.

• Kyungpook Mathematical Journal
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• 제61권3호
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• pp.645-660
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• 2021

This paper examines the behavior of a 3-dimensional trans-Sasakian manifold equipped with a gradient generalized quasi-Yamabe soliton. In particular, It is shown that α-Sasakian, β-Kenmotsu and cosymplectic manifolds satisfy the gradient generalized quasi-Yamabe soliton equation. Furthermore, in the particular case when the potential vector field ζ of the quasi-Yamabe soliton is of gradient type ζ = grad(ψ), we derive a Poisson's equation from the quasi-Yamabe soliton equation. Also, we study harmonic aspects of quasi-Yamabe solitons on 3-dimensional trans-Sasakian manifolds sharing a harmonic potential function ψ. Finally, we observe that 3-dimensional compact trans-Sasakian manifold admits the gradient generalized almost quasi-Yamabe soliton with Hodge-de Rham potential ψ. This research ends with few examples of quasi-Yamabe solitons on 3-dimensional trans-Sasakian manifolds.

• 천문학회보
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• 제44권2호
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• pp.70.1-70.1
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• 2019

Multiple-harmonic electron cyclotron emissions, often known in the literature as the (n + 1∕2)fce emissions, are a common occurrence in the magnetosphere. These emissions are often interpreted in terms of the Bernstein mode instability driven by the electron loss cone velocity distribution function. Alternatively, they can be interpreted as quasi-thermal emission of electrostatic fluctuations in magnetized plasmas. The present paper carries out a one-dimensional relativistic electromagnetic particle-in-cell simulation and also employs a reduced quasi-linear kinetic theoretical analysis in order to compare against the simulation. It is found that the Bernstein mode instability is indeed excited by the loss cone distribution of electrons, but the saturation level of the electrostatic mode is quite low, and that the effects of instability on the electrons is rather minimal. This supports the interpretation of multiple-harmonic emission in the context of the spontaneous emission and reabsorption in quasi-thermal magnetized plasma in the magnetosphere.

• 대한수학회지
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• 제61권1호
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• pp.183-205
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• 2024

In this paper, for an m-dimensional (m ≥ 5) complete non-compact submanifold M immersed in an n-dimensional (n ≥ 6) simply connected Riemannian manifold N with negative sectional curvature, under suitable constraints on the squared norm of the second fundamental form of M, the norm of its weighted mean curvature vector |H_f| and the weighted real-valued function f, we can obtain: • several one-end theorems for M; • two Liouville theorems for harmonic maps from M to complete Riemannian manifolds with nonpositive sectional curvature.

• Journal of applied mathematics & informatics
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• 제42권3호
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• pp.647-661
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• 2024

This study aims to determine the optimal solution to transportation problems. We proposed a novel approach for tackling the initial basic feasible solution. This is a critical step toward achieving an optimal or near-optimal solution. The transportation issue is an issue of distributing goods from several sources to several destinations. The literature demonstrates many ways to improve IBFS. In this work, to solve the IBFS, we suggested a new method based on the statistical formula called cumulative distribution function (CDF) in exponential distribution, and inverse contra-harmonic mean (ICHM). The spreadsheet converts transportation cost values into exponential cost cell values. The stepping-stone method is used to identify an optimum solution. The results are compared with other existing methodologies, the suggested method incorporates balanced, and unbalanced, maximizing the profits, random values, and case studies which produce more effective outcomes.

• 한국전자파학회논문지
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• 제27권3호
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• pp.299-306
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• 2016

본 논문에서는 공진기와 인체와의 거리에 따른 근접 전자기장 변화에 의한 공진기 임피던스의 변화를 토대로 사람의 호흡 및 심박신호를 검출할 수 있는 센서를 제안한다. 제안된 생체신호 측정센서는 패치형 공진기가 결합된 발진기, 발진주파수의 2채배 주파수만 통과시키기 위한 다이플렉서, 증폭기, SAW 필터 및 RF 검출기로 구성되어 있다. 호흡과 심박신호와 같은 인체의 주기적인 움직임은 근접 전자기장 영역 안에서 공진기의 임피던스 변화를 야기하며, 발진기의 주파수를 변화시킨다. 감도를 향상시키기 위해 발진주파수의 2채배 주파수 천이를 SAW 필터의 저지대역에 위치시킴으로써, 제안된 센서의 검출 거리를 2배로 확장시킬 수 있다. 제안된 센서의 측정결과, 최대 40 mm까지 호흡 및 심박신호가 안정적으로 측정되는 것을 확인하였다.

• 한국항행학회논문지
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• 제14권1호
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• pp.66-73
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• 2010

본 논문에서는 CRLH 전송선로의 이중대역 특성을 이용한 다이플렉서를 기반으로 동작하는 주파수 체배기를 제안하였다. 이것은 비선형 소자로 만들어진 하모닉 발생기가 만들낸 체배 신호를 다이플렉서를 통과시켜 서로 다른 두 주파수 신호를 동시에 출력포트로 내보낸다. 다이플렉서는 동위상 전력 분배기, 0o/90o 위상 지연기 그리고 이중대역 쿼드러춰 하이브리드 결합기로 구성되어 있으며, 이것은 입력된 하모닉 신호중 원하는 한 신호만을 각각의 출력포트로 내보내며 그 밖의 신호는 모두 억압한다. 이와 같은 기능이 동작하는지 확인하기 위하여 하모닉 발생기와 2 GHz와 3 GHz에서 동작하는 다이플렉서를 제작하여 원하지 않은 성분들은 40dB 이상 억압된 체배 성분들이 분리되어 나오는 것을 확인하였다.

• 한국측량학회지
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• 제24권2호
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• pp.183-191
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• 2006

최대 차수 10800의 초 고차 구 조화함수를 전개하여 중력을 모델링 하고, 이를 이용하여 상향 연속의 정확도를 검증하였다. 초 고차 구조화 함수에 의한 중력 모델링에 있어 수치계산적 난점인 르장드르 함수의 언더플로와 오버플로를 128 비트 연산에 의하여 성공적으로 수행하였으며, 이를 이용하여 지오이드상의 중력이상값을 공간 상도 $1'{\times}1'$ 으로 계산하였다. 생성된 중력이상값에 다양한 크기의 잡음을 첨가하고 자료의 간격을 달리하여 상향연속을 수행하였으며, 이로부터 도출된 중력 섭동 벡터와 중력 모델로부터 직접 계산된 섭동 벡터와의 비교를 통하여 실제적인 상향연속의 정확도를 할당하였다. 상향연속 방법의 비교에 있어, 직접방법이 포아송 방법에 비해 월등히 좋은 정확도를 보였고, 지상 중력자료의 잡음이 적을수록 또한 자료의 간격이 작을수록 상향연속에 의한 중력 섭동벡터의 정확도가 높게 나타남을 확인하였다. 특히 차세대 관성항법장치의 정밀 항법을 위한 중력의 필요조건인 5mGal의 정확도를 위해선, 지상 중력의 잡음 정도가 5mGal 이하, 자료의 간격이 2arcmin 이하이어야 함을 도출하였다.