• Bulletin of the Korean Chemical Society
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• 제35권9호
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• pp.2774-2780
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• 2014

A dynamics study of relaxation and fragmentation of icosahedral argon cluster with a vibrationally excited $Ar_2^+$ (${\nu}$) is presented. Local translation is shown to be responsible for inducing energy flow from the embedded ion to host atoms and fragmentation of the cluster consisting of various low frequency modes. The total potential energy of $(Ar_2^+)Ar_{12}$ is formulated using a building-up procedure of host-guest and host-host interactions. The time dependence of ion-to-host energy transfer is found to be tri-exponential, with the short-time process of ~100 ps contributing most to the overall relaxation process. Relaxation timescales are weakly dependent on both temperature (50-300 K) and initial vibrational excitation (${\nu}$ = 1-4). Nearly 27% of host atoms in the cluster with $Ar_2^+$ (${\nu}$ = 1) fragment immediately after energy flow, the extent increasing to ~43% for ${\nu}$ = 4. The distribution of fragmentation products of $(Ar_2^+)Ar_{12}{\rightarrow}(Ar_2^+)Ar_n+(12-n)Ar$ are peaked around $(Ar_2^+)Ar_8$. The distribution of dissociation times reveals fragmentation from one hemisphere dominates that from the other. This effect is attributed to the initial fragmentation causing a sequential perturbation of adjacent atoms on the same icosahedral five-atom layer.

• Structural Engineering and Mechanics
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• 제44권5호
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• pp.681-704
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• 2012

The dynamic response of Euler-Bernoulli beams to resonant harmonic moving loads is analysed. The non-dimensional form of the motion equation of a beam crossed by a moving harmonic load is solved through a perturbation technique based on a two-scale temporal expansion, which permits a straightforward interpretation of the analytical solution. The dynamic response is expressed through a harmonic function slowly modulated in time, and the maximum dynamic response is identified with the maximum of the slow-varying amplitude. In case of ideal Euler-Bernoulli beams with elastic rotational springs at the support points, starting from analytical expressions for eigenfunctions, closed form solutions for the time-history of the dynamic response and for its maximum value are provided. Two dynamic factors are discussed: the Dynamic Amplification Factor, function of the non-dimensional speed parameter and of the structural damping ratio, and the Transition Deamplification Factor, function of the sole ratio between the two non-dimensional parameters. The influence of the involved parameters on the dynamic amplification is discussed within a general framework. The proposed procedure appears effective also in assessing the maximum response of real bridges characterized by numerically-estimated mode shapes, without requiring burdensome step-by-step dynamic analyses.

• Structural Engineering and Mechanics
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• 제46권1호
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• pp.19-37
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• 2013

The optimum design of base isolation system considering model parameter uncertainty is usually performed by using the unconditional response of structure obtained by the total probability theory, as the performance index. Though, the probabilistic approach is powerful, it cannot be applied when the maximum possible ranges of variations are known and can be only modelled as uncertain but bounded type. In such cases, the interval analysis method is a viable alternative. The present study focuses on the bounded optimization of base isolation system to mitigate the seismic vibration effect of structures characterized by bounded type system parameters. With this intention in view, the conditional stochastic response quantities are obtained in random vibration framework using the state space formulation. Subsequently, with the aid of matrix perturbation theory using first order Taylor series expansion of dynamic response function and its interval extension, the vibration control problem is transformed to appropriate deterministic optimization problems correspond to a lower bound and upper bound optimum solutions. A lead rubber bearing isolating a multi-storeyed building frame is considered for numerical study to elucidate the proposed bounded optimization procedure and the optimum performance of the isolation system.

• International Journal of Control, Automation, and Systems
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• 제5권5호
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• pp.547-558
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• 2007

This paper proposes a simpler solution to the stabilization problem of a special class of nonlinear underactuated mechanical systems which includes widely studied benchmark systems like Inertia Wheel Pendulum, TORA and Acrobot. Complex internal dynamics and lack of exact feedback linearizibility of these systems makes design of control law a challenging task. Stabilization of these systems has been achieved using Energy Shaping and damping injection and Backstepping technique. Former results in hybrid or switching architectures that make stability analysis complicated whereas use of backstepping some times requires closed form explicit solutions of highly nonlinear equations resulting from partial feedback linearization. It also exhibits the phenomenon of explosions of terms resulting in a highly complicated control law. Exploiting recently introduced Dynamic Surface Control technique and using control Lyapunov function method, a novel nonlinear controller design is presented as a solution to these problems. The stability of the closed loop system is analyzed by exploiting its two-time scale nature and applying concepts from Singular Perturbation Theory. The design procedure is shown to be simpler and more intuitive than existing designs. Design has been applied to important benchmark systems belonging to the class demonstrating controller design simplicity. Advantages over conventional Energy Shaping and Backstepping controllers are analyzed theoretically and performance is verified using numerical simulations.

• ETRI Journal
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• 제21권4호
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• pp.65-82
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• 1999

We present a calculation model for an improved quantitative theoretical analysis of electronic and optical properties of strained-piezoelectric[111] InGaAs/GaAs superlattices (SLs). The model includes a full band-coupling between the four important energy bands: conduction, heavy, light, and spin split-off valence bands. The interactions between these and higher lying bands are treated by the k ${\cdot}$ p perturbation method. The model takes into account the differences in the band and strain parameters of constituent materials of the heterostructures by transforming it into an SL potential in the larger band-gap material region. It self-consistently solves an $8{\times}8$ effective-mass $Schr{\ddot{o}}dinger$ equation and the Hartree and exchange-correlation potential equations through the variational procedure proposed recently by the present first author and applied to calculate optical matrix elements and spontaneous emission rates. The model can be used to further elucidate the recent theoretical results and experimental observations of interesting properties of this type of quantum well and SL structures, including screening of piezoelectric field and its resultant optical nonlinearities for use in optoelectronic devices.

• 한국전산구조공학회논문집
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• 제15권4호
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• pp.727-739
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• 2002

강자성 판의 자기-열-탄성 상호작용을 고찰하기 위하여 자기-열-탄성에 관한 일반화된 변분원리에 기초한 이론적인 모델이 제안되었다. 자탄성 선형화이론과 섭동법을 사용하여, 온도장과 자기장으로 재하된 단순지지 강자성 평판의자-탄성 좌굴과 자기-열-탄성 좌굴거동을 해석하였다. 또한 해석적인 고찰이 어려운 보다 복잡한 강자성 판의 자기-열-탄성 거동을 모사하기 위하여 비선형 유한요소 모형을 개발하였다. 이 유한요소모형을 이용하여 유한한 강자성 판의 자기-열-탄성 ？과 좌굴거동 그리고, 이에대한 온도장과 자기장의 영향에 대하여 고찰하였다.

• Nuclear Engineering and Technology
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• 제54권5호
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• pp.1804-1812
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• 2022

The aim of this paper is to assess the reliability and accuracy of the PSI standard method, used in many previous works, for the quantification of ND uncertainties in the SPERT-III RIA transient, by quantifying the discrepancy between the actual inserted reactivity and the original static reactivity worth and their associated uncertainties. The assessment has shown that the inherent S3K neutron source renormalization scheme, introduced before starting the transient, alters the original static reactivity worth of the transient CR and reduces the associated uncertainty due to the ND perturbation. In order to overcome these limitations, two additional methods have been developed based on CR adjustment. The comparative study performed between the three methods has showed clearly the high sensitivity of the obtained results to the selected approach and pointed out the importance of using the right procedure in order to simulate correctly the effect of ND uncertainties on the overall parameters in a RIA transient. This study has proven that the approach that allows matching the original static reactivity worth and starting the transient from criticality is the most reliable method since it conservatively preserves the effect of the ND uncertainties on the inserted reactivity during a RIA transient.

• 대한전자공학회논문지TC
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• 제38권3호
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• pp.35-43
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• 2001

반사형(혹은 역방향) 결합선로에서 원하는 결합도를 가질 수 있도록 모드 특성임피던스를 합성하는 방법을 새로이 제안하였다. 결합도를 나타내는 일차 비선형 미분방정식의 해 혹은 Riccati 해가 갖는 반복되는 lobe들의 최소점, 즉 null점들을 최적 섭동시키므로서 최적 합성이 이루어진다. 이 과정을 위해 일차원 배열 안테나의 공간인자 패턴 제어를 통한 일차원 비선형 소스 분포함수 합성법을 근간으로 하였으며, 기존의 우함수형 분포함수 합성을 기함수형까지 확장 적용할 수 있는 방법을 제시하였다. 그 결과로서 도출된 모드 특성임피던스들은 연속적이고 비선형적인 프로필을 가지게 된다. 합성된 우함수형 및 기함수형 분포함수에 대응되는, 비대칭형 및 대칭형 결합기들을 비교 분석하였으며, 기존의 설계방법에 비해 일반적이고 간단함을 보였다.

• 한국항공우주학회지
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• 제31권9호
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• pp.88-93
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• 2003

본 논문은 헬리콥터용 시뮬레이션 프로그램 개발에 관한 연구이다. 일반적으로 헬리콥터 비행시뮬레이션에 사용되는 수학모델은 고 충실도를 가져야 한다. 그러므로 시뮬레이션을 실행할 때 보다 정교하 공력 모델이 필요하게 되며, 계산시간이 많이 걸린다. 어떠한 특수 목적을 수행하는 UAV 비행제어시스템에서는 제어기를 설계할 때 사용되는 선형모델을 비선형모델로부터 얻는 시간을 최소화 하는 것이 중요하다. 이와 같은 목적을 달성하기 위한 첫 번째 단계는 실제로 헬리콥터 동특성을 잘 나타내는 비선형 모델을 완성하는 일이다. 두 번째 단계는 비선형방정식으로부터 특정 비행조건에 맞는 트림값을 계산하는 것이다. 그리고 나서 수치적인 방법으로 안정미계수와 조종미계수를 계산하여 특정 비행 상태 조건에 부합하는 선형모델을 구한다. 이러한 과정을 편리하게 처리하는 프로그램을 MATLAB GUI를 사용해서 개발하였다. 이 논문에서 제안된 방법은 기존의 실물크기 모델헬리콥터 시뮬레이션 방법에 비해 간략화된 것이다. 따라서 선형모델을 얻기까지의 연산시간이 짧아서 무인헬리콥터의 비행제어시스템을 설계하는데 유용할 것이다.

• 대한용접접합학회:학술대회논문집
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• 대한용접접합학회 2002년도 Proceedings of the International Welding/Joining Conference-Korea
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• pp.661-667
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• 2002

Welding-induced buckling distortion is one of the most problematic concerns in both design and fabrication of welded thin-plate structures. This paper deals with experimental and numerical results of the welding-induced longitudinal and/or buckling distortion occurring in welding of 6mm-thick AH36 high strength steel plates. Effects of the heat input and the plate size on the distortion were experimentally evaluated for square plates. Bead-on-plate welding was performed with the submerged arc welding process along the middle line of plate specimens. Experimental results showed that the longitudinal distortion made a single curvature in the plate, and the distortion magnitude along the weld centerline was proportional to the heat input and the plate size. The experimental results were used to examine the validity of the numerical simulation procedure for welding-induced distortion where the longitudinal distortion mode and magnitude were numerically quantified. Three-dimensional, large deformation, welding simulations were performed for selected weld models. Numerical results of the distortion mode and magnitude were in a good agreement with experimental ones. Depending on the presence of halting the distortion growth during the cooling cycle of welding, the condition discriminating buckling distortion from longitudinal distortion was established. Eigenvalue analyses were performed to check the buckling instability of tested plates with different sizes subjected to different heat inputs. The perturbation load pattern for the analysis was extracted from longitudinal inherent strain distributions. Critical buckling curve from the eigenvalue analyses revealed that the buckling instability is manifested when plate size or heat input increases.