• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2007년도 추계학술대회논문집
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• pp.853-861
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• 2007

To understand the concept of dynamic motion in two degree nonlinear coupled system, free vibration not including damping and excitation is investigated with the concept of nonlinear normal mode. Stability analysis of a coupled system is conducted, and the theoretical analysis performed for the bifurcation phenomenon in the system. Bifurcation point is estimated using harmonic balance method. When the bifurcation occurs, the saddle point is always found on Poincare's map. Nonlinear phenomenon result in amplitude modulation near the saddle point and the internal resonance in the system making continuous interchange of energy. If the bifurcation in the normal mode is local, the motion remains stable for a long time even when the total energy is increased in the system. On the other hand, if the bifurcation is global, the motion in the normal mode disappears into the chaos range as the range becomes gradually large.

• 한국통신학회:학술대회논문집
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• 한국통신학회 1986년도 춘계학술발표회 논문집
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• pp.194-197
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• 1986

The normal mode parameters of microstrip coupled lines are datermined from the self and mutual capacitance and inductance of microstrip lines. In this paper, these capacitance are computed by using the relaxation method based on Quas1-TEM model for shoelded structure. Using these results, the normal mode parameters of two and three microstrip coupled lines are obtained.

• 한국음향학회지
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• 제35권4호
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• pp.243-252
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• 2016

본 논문에서는 연성 모드 기반의 양상태 비상관 잔향음 모델을 제안한다. 거리종속 환경에서 단방향 연성모드 기반의 음파전달모델을 사용하여 음원에서의 산란체에 도달하는 음압과 산란체에서 수신원에 도달하는 음압을 계산한다. 계산의 편의 상 각 산란체와 음원 또는 수신기 사이의 음파전달은 산란체와 음원 또는 수신기를 잇는 2차원 평면에서만 일어난다고 가정한다. 모델의 타당성을 검증하기 위해, 미 해군 잔향음 모델링 워크숍 I, II에 제시된 문제에 대해 계산하고, 그 결과를 음선 이론 기반의 비상관 잔향음 결과와 비교했다.

• 한국통신학회논문지
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• 제16권9호
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• pp.862-876
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• 1991

본 논문에서는 N-선로 결합 구조의 등가 이미턴스 산출식을 N-선로 결합시스템의 normal mode 정수로 표현하였다 제안한 산출식은 다양한 결합 구조 즉 방향성 결합기, DC 블럭, 대역통과/대역소거 여파기 및 기타 균일하게 결합된 형태인 여파기 등에 이용될 수 있도록 일반화 되었으며 이들 계산식은 준-TEM 모드로 가정한 결과이다. 이를 이용하여 임의의 임피던스로 종단한 일반적인 4-포트 결합 선로에서 정의된 산란정수를 구하여 입, 출력 포트에 접속된 임피던스에 정합시키는 최척 선로 규격을 구하는 과정을 제시하였다. 제시된 방법을 적용하여 복수 마이크로스트립 결합 선로인 3-선 2-포트 대역소거 여파기의 주파수 특성을 기존의 방법과 비교하여 일치함을 확인하고 5-선 4-포트 구조를 테프론(비유전율 $e$r=2.55) 기판(두께 h=1.588mm) 에 중심 주파수 4 GHz로 설계하였다. 설계 수치에 따른 회로를 제작하여 측정한 실험 결과는 설계시 얻어진 주파수 특성 이론치에 근접하였다.

• Journal of Theoretical and Applied Mechanics
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• 제1권1호
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• pp.29-67
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• 1995

A procedure is formulated, in this paper, to compute the bifurcation modes born by the stability change of normal modes, and to compute the forced responses associated with bifurcation modes in inertially and elastically coupled nonlinear oscillators. It is assumed that a saddle-loop is formed in Poincare map at the stability chage of normal modes. In order to test the validity of procedure, it is applied to one-to-one internal resonant systems in which the solutions are guaranteed within the order of a small perturbation parameter. The procedure is also applied to the exact system in which normal modes are written in exact form and the stability of normal modes can be exactly determined. In this system the stability change of normal modes occurs several times so that various types of bifurcation modes are created. A method is described to identify a fixed point on Poincare map as one of bifurcation modes. The limitations and advantage of proposed procedure are discussed.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2011년도 추계학술대회 논문집
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• pp.130-135
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• 2011

A study of the bending-extension-transverse shear coupled random response of the composite beams with thin-walled open sections subjected to various types of concentrated and distributed random excitations is dealt with in this paper. First of all, equations of motion of thin-walled composite H-type cross-section beams incorporating a number of nonclassical effects of transverse shear and primary and secondary warping, and anisotropy of constituent materials are derived. On the basis of derived equations of motion, analytical expressions for the displacement response of the composite beams are derived by using normal mode method combined with frequency response function method.

• 대한전자공학회논문지
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• 제23권1호
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• pp.27-35
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• 1986

The optical wave interactions in a sinusoidally corrugated dielectric waveguide are analyzed for the oblique incidence case. The coupled mode equations which govern the interactions are derived by the singular perturbation method for the TE-TE mode coupling. The results are compared with those of normal mode analysis by Wagatsuma et al. and total field analysis by Stegeman et al. Phase mismatching effects on the diffraction efficiency are also investigated.

• The Journal of the Acoustical Society of Korea
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• 제15권2E호
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• pp.63-75
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• 1996

The squeal vibration of a drum is the major source of brake noise. In this system the binary flutter model of squeal vibration was employed for the drum brake of a passenger car. The vibration analysis of a drum brake was performed by using normal modes, which are obtained by variational method. An improved method for the estimation of shoe modes is proposed and the results are compared with the exact solutions. Numerical results for the coupled system of drum and shoes good agreement with the results of experimental model analysis and those obtained by FE analysis.

• 전자공학회논문지
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• 제50권3호
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• pp.16-22
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• 2013

n 개의 균일한 결합선로를 해석하기 위하여 2n-port 어드미턴스 매트릭스의 추출에 기초한 일반적인 특성화 절차가 제시된다. 본 논문에서는 비대칭 다중 결합선로를 해석하기 위하여 시간영역의 유한차분법을 사용하여 정규화 모드 파라미터 접근법의 적용을 제안한다. 주파수 의존적인 정규화 모드 파라미터는 2n-port 어드미턴스 매트릭스로부터 얻어지고, 이로부터 주파수 의존적인 전파상수와 유효 유전율 및 결합선로의 특성임피던스를 계산할 수 있다. 이 기법을 설명하기 위해 몇몇의 실질적인 다중 유전체상의 결합선로 구조들이 모의 실험되었으며, 특히 전도체가 유전체 사이에 내재된 형태의 선로가 해석되었다. 시간영역 유한 차분법을 활용한 결과는 Spectral Domain Method의 모의실험 결과와 비교하였고, 잘 일치함을 보였다. 시간영역의 특성화 절차에 기인한 유한차분법은 얇거나 두꺼운 혼성 구조 뿐 아니라 다층 PCB상의 다중의 전도체 결합 선로 설계를 위한 훌륭한 광대역 모의실험 도구가 됨을 볼 수 있다.

• Structural Engineering and Mechanics
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• 제39권1호
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• pp.47-75
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• 2011

An accurate substructural synthesis method including random responses synthesis, frequency-response functions synthesis and mid-order modes synthesis is developed based on rigorous substructure description, dynamic condensation and coupling. An entire structure can firstly be divided into several substructures according to different functions, geometric and dynamic characteristics. Substructural displacements are expressed exactly by retained mid-order fixed-interfacial normal modes and residual constraint modes. Substructural interfacial degree-of-freedoms are eliminated by interfacial displacements compatibility and forces equilibrium between adjacent substructures. Then substructural mode vibration equations are coupled to form an exact-condensed synthesized structure equation, from which structural mid-order modes are calculated accurately. Furthermore, substructural frequency-response function equations are coupled to yield an exact-condensed synthesized structure vibration equation in frequency domain, from which the generalized structural frequency-response functions are obtained. Substructural frequency-response functions are calculated separately by using the generalized frequency-response functions, which can be assembled into an entire-structural frequency-response function matrix. Substructural power spectral density functions are expressed by the exact-synthesized substructural frequency-response functions, and substructural random responses such as correlation functions and mean-square responses can be calculated separately. The accuracy and capacity of the proposed substructure synthesis method is verified by numerical examples.