• Wind and Structures
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• 제7권4호
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• pp.251-264
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• 2004

The effects of a class of nonlinear Tuned Mass Dampers on the aeroelastic behavior of SDOF systems are investigated. Unlike classical linear TMDs, nonlinear constitutive laws of the internal damping acting between the primary oscillator and the TMD are considered, while the elastic properties are keept linear. The perturbative Multiple Scale Method is applied to derive a set of bifurcation equations in the amplitude and phase and a parametric analysis is performed to describe the postcritical scenario of the system. Both cubic- and van der Pol-type dampings are considered and the dependence of the limit-cycle amplitudes on the system parameters is studied. These new results, compared with the previously obtained bifurcation scenario of a SDOF aeroelastic oscillator equipped with a linear TMD, show a detrimental effect on the maximum limit-cycle amplitude reduction of the nonlinear TMD. However, the analyses evidence that in the parameter region away from the perfect tuning condition the nonlinear connection can be used to tune the system with an enhancement of the limit-cycle amplitude reduction.

• 한국지능시스템학회논문지
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• 제14권3호
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• pp.316-323
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• 2004

이 논문에서는 특이섭동 T-S 퍼지시스템의 $H_{\infty}$ 출력 궤환 제어기의 설계를 취급한다. 특이섭동 시스템에서 저속 부시스템과 고속 부시스템의 $H_{\infty}$ 노옴이 각각 ${\gamma}$ 보다 적다면 충분히 적은 ${\varepsilon}$>0에 대해서 특이섭동 퍼지시스템의 $H_{\infty}$ 노옴이 ${\gamma}$보다 적음을 증명한다. 이러한 사실을 이용하여 특이섭동 파라메터 ${\varepsilon}$과 무관한 선형 행렬부등식을 기반으로하는 제어기 설계법을 제시한다. 제시된 설계법의 효용성을 입증하기 위하여 수치예를 보여준다.

• 대한기계학회논문집
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• 제7권1호
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• pp.52-63
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• 1983

The purpose of the study is to find development of contact area, contact pressure and friction forces occurring at joints or connection areas inbetween structural members or mechanical parts. The problem has a pair of difficulties intrinsically; a constraint of displacement due to contact, and presence of work term by nonconservative friction force in the variational principle of the problem. Because of these difficulties, the variational principle remains in the form of inequality. It is resolved by penalty method and perturbation method making the inequality to an equality which is proper for computational purposes. A contact problem without friction is solved to find contact area and contact pressure, which are to be used as data for the analysis of the friction problem using perturbed variational principle. For numerical experiments, a Hertz problem, a rigid punch problem, and the latter one with friction effects are solved using $Q_2$-finite elements.

• Journal of Advanced Research in Ocean Engineering
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• 제2권1호
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• pp.12-21
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• 2016

In this paper, the $2^{nd}$ order hydrodynamic force effect of heaving submerged circular cylinder is considered, with the linear potential theory. Boundary value problem (BVP) is expanded up to the $2^{nd}$ order by using of the perturbation method and the $2^{nd}$ order velocity potential is calculated by means of integral equation technique using the classical Green's function expressed in cylindrical coordinates. The method of solving BVP is based on eigenfunction expansions. With different cylinder heights and heaving frequencies, graphical results are presented. As a result of the study, the cause of oscillatory force pattern is analyzed with the occurrence of negative added mass when a top of the cylinder gets closer to the free surface.

• Journal of applied mathematics & informatics
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• 제29권3_4호
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• pp.813-829
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• 2011

In this article, we present a numerical scheme for solving singularly perturbed (i.e. highest -order derivative term multiplied by small parameter) Burgers-Huxley equation with appropriate initial and boundary conditions. Most of the traditional methods fail to capture the effect of layer behavior when small parameter tends to zero. The presence of perturbation parameter and nonlinearity in the problem leads to severe difficulties in the solution approximation. To overcome such difficulties the present numerical scheme is constructed. In construction of the numerical scheme, the first step is the dicretization of the time variable using forward difference formula with constant step length. Then, the resulting non linear singularly perturbed semidiscrete problem is linearized using quasi-linearization process. Finally, differential quadrature method is used for space discretization. The error estimate and convergence of the numerical scheme is discussed. A set of numerical experiment is carried out in support of the developed scheme.

• Structural Engineering and Mechanics
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• 제31권5호
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• pp.481-506
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• 2009

The present study is concerned with the stochastic linear free vibration study of laminated composite plate embedded with piezoelectric layers with random material properties. The system equations are derived using higher order shear deformation theory. The lamina material properties of the laminate are modeled as basic random variables for accurate prediction of the system behavior. A $C^0$ finite element is used for spatial descretization of the laminate. First order Taylor series based mean centered perturbation technique in conjunction with finite element method is outlined for the problem. The outlined probabilistic approach is used to obtain typical numerical results, i.e., the mean and standard deviation of natural frequency. Different combinations of simply supported, clamped and free boundary conditions are considered. The effect of side to thickness ratio, aspect ratio, lamination scheme on scattering of natural frequency is studied. The results are compared with those available in literature and an independent Monte Carlo simulation.

• Structural Engineering and Mechanics
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• 제53권2호
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• pp.297-309
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• 2015

The purpose of this work is to analyze the effect of structure parameter disturbance on the dynamic characteristics of a hydropower station powerhouse. A vibration model with a head-cover system is established, and then the general disturbance problem analysis methods are discussed. Two new formulae based on two types of disturbances are developed from existing methods. The correctness and feasibility of these two formulae are validated by analyzing the hydropower station powerhouse vibration model. The appropriate calculation method for disturbance of the hydropower station powerhouse vibration dynamic characteristics is derived.

• Computers and Concrete
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• 제16권4호
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• pp.531-544
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• 2015

The objective of this study was to examine the effect of repair mortar on the dynamic properties such as natural frequencies, mode shape and damping ratios of two story single span scale reinforced concrete building. To this end, two story single span scale reinforced concrete building having dimensions of 150 cm (width), 150 cm (length) and 135 cm (height) was constructed. Workmanship defects such as separation of material, faulty vibration application and bad gradation of the structure were properly evaluated. Dynamic properties of damaged structure were experimentally determined using Operational Modal Analysis (OMA). Detected defects in the structure were fixed by plastering with repair mortar. Dynamic properties of repaired structure were reevaluated by using the OMA method. Finite element software called Abaqus was used to numerically determine dynamic properties of the structure. Structure modeled as solid was subjected to Linear Perturbation Frequency Method. The changes in dynamic properties of structure after the repair process were comparatively studied by evaluating experimental and numerical results.

• 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.

• 정보보호학회논문지
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• 제31권6호
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• pp.1215-1225
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• 2021

인공지능 기술은 우수한 성능을 기반으로 다양한 분야에 적용되고 있지만 입력 데이터에 인간이 감지할 수 없는 적대적 섭동을 추가하여 인공지능 모델의 오작동을 유도하는 적대적 예제에 취약하다. 현재까지 적대적 예제에 대응하기 위한 방법은 세 가지 범주로 분류할 수 있다. (1) 모델 재학습 방법; (2) 입력 변환 방법; (3) 적대적 예제 탐지 방법. 이러한 적대적 예제에 대응하기 위한 방법은 끊임없이 등장하고 있지만 각 적대적 공격 유형을 분류하는 연구는 미비한 실정이다. 따라서, 본 논문에서는 차원 축소와 군집화 알고리즘을 활용한 적대적 공격 유형 분류 방법을 제안한다. 구체적으로, 제안하는 방법은 적대적 예시로부터 적대적 섭동을 추출하고 선형 판별 분석(LDA)를 통해 적대적 섭동의 차원을 축소한 후에 k-means 알고리즘으로 적대적 공격 유형 분류를 수행한다. MNIST 데이터셋과 CIFAR-10 데이터셋을 대상으로 한 실험을 통해, 제안하는 기법은 5개의 적대적 공격(FGSM, BIM, PGD, DeepFool, C&W)을 효율적으로 분류할 수 있으며, 적대적 예제에 대한 정상 입력을 알 수 없는 제한적인 상황에서도 우수한 분류 성능을 나타내는 것을 확인하였다.