• Journal of the Korean Society for Aeronautical & Space Sciences
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• v.43 no.11
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• pp.998-1007
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• 2015

The $H_{\infty}$ control theory using LMI method is applied to design an attitude controller of radial type satellite that has strongly coupled channels due to the large product of inertia. It is observed that the cross-over frequency of open-loop with $H_{\infty}$ controller is lower than that of open-loop without controller, which is not typical phenomenon in an optimal control design result: it is interpreted that due to a large product of inertia, there is certain limit in increasing agility of satellite by just tuning weighting function. ${\mu}$-analysis is performed to verify the stability and performance robustness with the assumption of +/-5% MOI variation. ${\mu}$-analysis result shows that the variation of principal MOI degrades the stability and performance robustness more than the variation of POI does.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.29 no.3
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• pp.237-244
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• 2016

This paper presents a nonlinear Moving Least Squares(MLS) difference method for material nonlinearity problem. The MLS difference method, which employs strong formulation involving the fast derivative approximation, discretizes governing partial differential equation based on a node model. However, the conventional MLS difference method cannot explicitly handle constitutive equation since it solves solid mechanics problems by using the Navier's equation that unifies unknowns into one variable, displacement. In this study, a double derivative approximation is devised to treat the constitutive equation of inelastic material in the framework of strong formulation; in fact, it manipulates the first order derivative approximation two times. The equilibrium equation described by the divergence of stress tensor is directly discretized and is linearized by the Newton method; as a result, an iterative procedure is developed to find convergent solution. Stresses and internal variables are calculated and updated by the return mapping algorithm. Effectiveness and stability of the iterative procedure is improved by using algorithmic tangent modulus. The consistency of the double derivative approximation was shown by the reproducing property test. Also, accuracy and stability of the procedure were verified by analyzing inelastic beam under incremental tensile loading.

• Journal of KSNVE
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• v.9 no.1
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• pp.196-205
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• 1999

The existence. bifurcation. and the orbital stability of periodic motions, which is called nonlinear normal mode, in a nonlinear dual mass Hamiltonian system. which has 6th order homogeneous polynomial as a nonlinear term. are studied in this paper. By direct integration of the equations of motion. Poincare Map. which is a mapping of a phase trajectory onto 2 dimensional surface in 4 dimensional phase space. is obtained. And via the Birkhoff-Gustavson canonical transformation, the analytic expression of the invariant curves in the Poincare Map is derived for small value of energy. It is found that the nonlinear system. which is considered in this paper. has 2 or 4 nonlinear normal modes depending on the value of nonlinear parameter. The Poincare Map clearly shows that the bifurcation modes are stable while the mode from which they bifurcated out changes from stable to unstable.

• Journal of Korean Association for Spatial Structures
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• v.10 no.4
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• pp.133-140
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• 2010

This paper studies on the instability behaviour of the Seoul southwest baseball dome. The nonlinear Snapping phenomenon of the structure is investigated about the load mode by the design load of analysis structure and these combined loads. The initial imperfection obtains the buckling mode through the eigenvalue analysis of the tangential stiffness matrix and uses this for the nonlinear analysis. However, the buckling of members or the local buckling, and etc don't consider in the research range of this research task. Also it is limited the overall buckling phenomenon.

• Proceedings of the Korean Society of Propulsion Engineers Conference
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• 1995.11a
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• pp.171-177
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• 1995

추진기관 연소관 제작시 발생하는 결함등에는 주로 표면결함의 형태의 것이 많은데 연소관 설계시 이러한 결함들의 영향을 고려하는 것이 구조물의 안정성에 있어 중요한 요소가 된다. 따라서 본 논문에서는 연소관에 발생할수 있는 결함들에 대한 파단하중 및 파단압력에 대한 탄성 및 탄소성해석을 통하여 파괴 매개변수인 J적분을 유한요소 프로그램인 ABAQUS를 이용하여 3차원 비선형해석을 수행하여 5가지의 균열모델을 사용하여 평판, 양단개방 압력용기(open tube) 및 양단막힘 압력용기 (closed tube)의 파단하중하에서의 J적분의 영향을 분석하였다. 평판 결함시편의 J적분으로부터 압력용기의 손상허용설계를 할 수 있는 방안을 조사 하였으며 추진기관 연소관에 적용하여 발생가능한 크기의 결함에 대한 안정성을 조사한결과 충분한 안정성을 확보하고 있음을 알수 있었다.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.12 no.3
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• pp.319-329
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• 1999

본 연구에서는 골조의 안정과 구조적인 거동에 영향을 미치는 2차 효과에 의한 기하학적 비선형 문제, 세장비가 작은 부재 단면의 소성, 보-기둥 접합부의 상태, 그리고 부재 내부에 발생되어 있는 기하학적 초기결함을 고려한 복합적인 비선형 해석프로그램을 개발하여, 철골조 구조물의 거동을 근사적으로 예측하고자 한다. 그리고, 각 비선형 해석의 신뢰성을 검증하고, 상호관계를 파악되기 위해서 각 해석에 따른 좌굴하중과 거동을 비교 검토한다.

• Journal of Korean Society of Coastal and Ocean Engineers
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• v.35 no.2
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• pp.41-48
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• 2023

In this study, simplified linear numerical method that can simulate wave generation and transformation by a moving bottom is introduced. Numerical analysis is conducted in wave number domain after continuity equation, linear dynamic and kinematic free surface boundary conditions and linear kinematic bottom boundary condition are Fourier transformed, and the results are expressed in space domain by an inverse Fourier transform. In the wavenumber domain, the dynamic free water surface boundary condition and the kinematic free water surface boundary condition are numerically calculated, and the velocity potential in the mean water level (z = 0) satisfies the continuity equation and the kinematic bottom boundary condition. Wave generation and transformation are investigated when the triangular and rectangular shape of bottoms move periodically. The results of the simplified numerical method are compared with the results of previous analytical solutions and agree well with them. Stability of numerical results according to the calculation time interval (Δt) and the calculation wave number interval (Δk) was also investigated. It was found that the numerical results were appropriate when Δt ≤ T(period)/1000 and Δk ≤ π/100.

• Journal of the Korean Geotechnical Society
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• v.18 no.6
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• pp.117-127
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• 2002

A deterministic approach of slope stability, which is generally corresponding to the model of a simple non-linear function for slopes, is problematic in that it does not account the versatile characteristics of ground layers in an effective way. To resolve this problem, this study proposes a new way of analyzing slope stability, so-called “genetic algorithm method, ” so as to reflect some particular conditions pertaining to the grounds under concern. Similarities and differences in slope stability that may exist between homogeneous and multiple ground layers are examined in a competitive manner, Overall, though similarities deemed a little bit salient, the algorithm method turned out to be very applicable to estimating the validity of slope stability. Furthermore, an additional effort to consider long-standing sequential and dynamic changes in both the amount of rainfall and the underground water level is made in order to improve the results.

• Journal of the Society of Naval Architects of Korea
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• v.36 no.3
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• pp.71-82
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• 1999

Irregular motions of nonlinear dynamic system are the result of an intrinsic characteristics that the system have, and sometimes occur unpredictable large motion. For a ship in a regular seaway, the capsizing occur because of this unexpectable motion. So, from the safety's point of view, nonlinear ship motions should be treated carefully. In this study, stable and unstable regions are investigated firstly under the variation of a control external force. Secondly, we consider the attractors to know how ship motions of the stable region that does not undergo capsizing change. Thirdly, bifurcation diagram is considered to study the range in detail where nonlinear chaotic motions are occurred.

• Proceedings of the KIEE Conference
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• 2011.07a
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• pp.1758-1759
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• 2011

본 논문은 비선형 시스템의 소속함수 의존성을 이용한 관측기 기반 퍼지 제어기 설계 기법을 제시한다. Takage-Sugeno (T-S)퍼지 모델링을 이용해 비선형 시스템을 퍼지 모델로 표현한다. 시스템의 안정화 조건은 소속함수의 의존성을 이용한 리아푸노프 안정도 해석 방법을 이용해 유도된다. 안정화 조건은 선형 행렬 부등식으로 표현되며, 부등식의 해를 이용해 제어기의 이득값을 구한다. 모의실험을 통해 설계된 제어기의 타당성을 검증한다.