• Advances in Computational Design
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• 제9권2호
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• pp.97-113
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• 2024

In this paper, we proposed a new class of stochastic neutral neural networks with uncertain and deterministic coefficients. Made the Sigmund activation and Lipschitz activation functions less conditional. The Lyapnov-Krasovskii functional is constructed. The linear matrix inequality (LMI) is constructed using Schur's lemma, and new criteria for the global asymptotic stability and global asymptotic robust stability of neural networks are obtained. Furthermore, we have verified that the method is effective and feasible through numerical examples.

• 한국구조물진단유지관리공학회 논문집
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• 제11권4호
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• pp.138-146
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• 2007

연약지반에 시공된 지반구조물의 거동은 구조물 하부의 연약지반이나 인접 지반의 특성에 크게 영향을 받는다. 지반 구조물 설계시 사용되는 지반 특성치는 결정론적인 모델이나 확률론적인 모델을 이용하여 나타낼 수 있다. 일반적인 지반구조물 설계시 사용되는 결정론적인 모델은 설계 파라메타로 단 하나의 대표값을 사용하는 반면, 확률론적인 모델은 이산통계나 확률 밀도함수를 이용한다. 연약지반의 압밀도나 침하량등의 산정 결과는 간극비, 압밀계수, 연직 및 수평방향 투수계수등의 불확실성 요소에 영향을 받는다. 본 연구에서는 연직 드레인을 이용한 개량지반에 대한 침하해석시 사용되는 불확실성 인자들에 대한 영향을 분석하여 보았다. 또한, 변동계수가 침하량에 미치는 영향을 분석하였으며 이들 파라메타들이 압밀도나 침하계산시 미치는 영향에 대한 민감도 분석을 실시하였다.

• Structural Engineering and Mechanics
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• 제50권5호
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• pp.697-708
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• 2014

The intentional buckling design of micro-films has various potential applications in engineering. The buckling amplitude and critical strain of micro-films are the crucial parameters for the buckling design. In the reported studies, the film parameters were regarded as deterministic. However, the geometrical and physical parameters uncertainty of micro-films due to manufacturing becomes prominent and needs to be considered. In the present paper, the probabilistic nonlinear buckling analysis of micro-films with uncertain parameters is proposed for design accuracy and reliability. The nonlinear differential equation and its asymptotic solution for the buckling micro-film with nominal parameters are firstly established. The mean values, standard deviations and variation coefficients of the buckling amplitude and critical strain are calculated by using the probability densities of uncertain parameters such as the film span length, thickness, elastic modulus and compressive force, to reveal the effects of the film parameter uncertainty on the buckling deformation. The results obtained illustrate the probabilistic relation between buckling deformation and uncertain parameters, and are useful for accurate and reliable buckling design in terms of probability.

• Journal of Advanced Marine Engineering and Technology
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• 제18권4호
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• pp.102-111
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• 1994

This article deals with the problem of designing a robust algorithm for the motion control of robot manipulator whose nonlinear dynamics contain various uncertainties. To ensure high performance of control system, a model-based feedforward compensation with continuous robust control has been developed. The control structure based on the deterministic approach consists of two parts : the nominal control law is first introduced to stabilize the system without uncertainties, then a robust nonlinear control law is adopted to compensate for both the resulting errors(or structured uncertainties) and unstructured uncertainties. The uncertainties assumed in this study are bounded by polynomials in the Euclidean norms of system states with known bounding coefficients. The presented control scheme is relatively simple as well as computationally efficient. With a feasible class of desired trajectories, the proposed control law provides sufficient criteria which guarantee that all possible responses of the closed-loop system are uniformly ultimately bounded in the presence of uncertainties. Therefore, the control algorithm proposed is shown to be robust with respect to the involved uncertainties.

• Structural Engineering and Mechanics
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• 제31권6호
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• pp.737-749
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• 2009

The problem of estimating the dynamic response of a distributed parameter system excited by a moving vehicle with random initial velocity and random vehicle body mass is investigated. By adopting the Galerkin's method and modal analysis, a set of approximate governing equations of motion possessing time-dependent uncertain coefficients and forcing function is obtained, and then the dynamic response of the coupled system can be calculated in deterministic sense. The statistical characteristics of the responses of the system are computed by using improved perturbation approach with respect to mean value. This method is simple and useful to gather the stochastic structural response due to the vehicle-passenger-bridge interaction. Furthermore, some of the statistical numerical results calculated from the perturbation technique are checked by Monte Carlo simulation.