• 한국산학기술학회:학술대회논문집
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• 한국산학기술학회 2012년도 춘계학술논문집 2부
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• pp.631-633
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• 2012

본 논문은 구조용 후판 강재로 절곡되었을 때, 절곡부재의 구조연성 변화에 대한 해석 방안과 이에 따른 해석적 평가 사례를 제시하고 있다. 절곡 방법에 의한 제작과정에서 재료는 변형경화 현상이 발생한다. 이로 인해 구조연성 저하가 불가피하기 때문에 절곡부재의 휨연성 검토가 필요하다. 해석 방안은 유한요소해석 프로그램인 ABAQUS를 이용하였다. Lanczos 알고리즘을 적용한 고유치해석과 재료 비탄성-기하비선형을 고려한 비선형 해석을 하였다. 비선형해석 절곡에 의한 재료특성을 고려하였다. 극한 하중과 파괴모드를 평가하기 위해 Newton-Raphson method, modified Riks method를 적용한 단계별 하중재하 해석을 실시하였다. 본 연구를 통해 휨연성을 평가하는데 활용 될 것으로 판단된다.

• 한국국방경영분석학회지
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• 제17권1호
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• pp.146-158
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• 1991

In this paper, we deal with the TSP (Traveling Salesperson Problem) which is well-known as NP-complete optimization problem. the TSP is applicable to network routing. task allocation or scheduling. and VLSI wiring. Well known numerical methods such as Newton's Metheod. Gradient Method, Simplex Method can not be applicable to find Global Solution but the just give Local Minimum. Exhaustive search over all cyclic paths requires 1/2 (n-1) ! paths, so there is no computer to solve more than 15-cities. Heuristic algorithm. Simulated Annealing, Artificial Neural Net method can be used to get reasonable near-optimum with polynomial execution time on problem size. Therefore, we are able to select the fittest one according to the environment of problem domain. Three methods are simulated about symmetric TSP with 30 and 50-city samples and are compared by means of the quality of solution and the running time.

• Journal of the Korean Data and Information Science Society
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• 제20권5호
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• pp.925-931
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• 2009

In this paper we propose a variance function estimation method for replicated data based on averages of squared residuals obtained from estimated mean function by the least squares support vector machine. Newton-Raphson method is used to obtain associated parameter vector for the variance function estimation. Furthermore, the cross validation functions are introduced to select the hyper-parameters which affect the performance of the proposed estimation method. Experimental results are then presented which illustrate the performance of the proposed procedure.

• Journal of Mechanical Science and Technology
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• 제18권2호
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• pp.193-202
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• 2004

This paper presents a computer method for the dynamic analysis of a system of rigid bodies in plane motion. The formulation rests upon the idea of replacing a rigid body by a dynamically equivalent constrained system of particles. Newton's second law is applied to study the motion of the resulting system of particles without introducing any rotational coordinates. A velocity transformation is used to transform the equations of motion to a reduced set. For an open-chain, this process automatically eliminates all of the non-working constraint forces and leads to an efficient integration of the equations of motion. For a closed-chain, suitable joints should be cut and few cut-joints constraint equations should be included. An example of a closed-chain is used to demonstrate the generality and efficiency of the proposed method.

• 대한수학회지
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• 제51권6호
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• pp.1155-1175
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• 2014

We present a unified local and semilocal convergence analysis for secant-type methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Our analysis includes the computation of the bounds on the limit points of the majorizing sequences involved. Under the same computational cost our semilocal convergence criteria can be weaker; the error bounds more precise and in the local case the convergence balls can be larger and the error bounds tighter than in earlier studies such as [1-3,7-14,16,20,21] at least for the cases of Newton's method and the secant method. Numerical examples are also presented to illustrate the theoretical results obtained in this study.

• 한국전산유체공학회:학술대회논문집
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• 한국전산유체공학회 1995년도 추계 학술대회논문집
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• pp.76-81
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• 1995

A numerical procedure for the analysis of transient behavior in a monolithic catalytic converter is presented. The thermal behavior of a monolithic catalytic converter is fully coupled with mass transfer and exothermic reaction between exhaust gases and the catalytic converter. In the present study, all these processes are solved simultaneously. The heat transfer process is approximated by combinging one dimensional convection and conduction and the chemical reaction is also simply modelled by using the concepts of reaction rate and reaction heat. All the partial diffenrential equations for the heat transfer, mass transfer and chemical reactions are appximated by using finite volume method. Resulting algebraic equations are solved using the Newton's method. To see the workability of present numerical method, two well known problems, say step increase and step decrease in the gas inlet temperature, have been calculated. Comparion of present solutions with previous solutions shows a good agreement.

• 한국해안·해양공학회논문집
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• 제25권5호
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• pp.291-300
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• 2013

태풍시 발생하는 해상풍 산출을 위해서는 태풍 모의 기법을 이용하며, 이 경우 Holland 모델은 비교적 정확도 높은 태풍 모의가 가능하게 한다. 태풍 모의를 위한 가용 정보로는 JTWC(Joint Typhoon Warning Center, USA)와 RSMC(Regional Specialized Meteorological Center, Japan) 최적경로자료가 있으며, 두 자료는 매개변수 산정 방법과 제공하는 태풍인자가 약간 다르다. 본 연구에서는 RSMC 최적경로자료에서 제공하는 풍속 25 m/s와 15 m/s에 해당하는 반경을 Holland 모형에 각각 대입하여 구성되는 2개의 비선형 방정식을 구성하였으며, 구성된 방정식의 해에 해당하는 최대풍속반경은 Newton-Raphson 기법을 이용하여 산출하였다. 본 방법은 일본 기상청(JMA)에서 제공하는 태풍 풍속프로파일에 근거하여 산출된 결과로서 타 방법에 의하여 산출된 결과보다 태풍 매개변수의 공간적, 시간적 변화에 능동적으로 반응하여 태풍의 특성을 보다 잘 반영하는 것으로 나타났다. RSMC 최적경로 자료를 이용할 경우, 본 방법은 태풍모의 입력 자료의 일관성도 확보할 수 있기 때문에 최대풍속 반경 산출에 합리적일 것으로 판단된다.

• Advances in nano research
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• 제12권5호
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• pp.441-455
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• 2022

This study explores the linear and nonlinear solutions of sigmoid functionally graded material (S-FGM) nanoplate with porous effects. A size-dependent numerical solution is established using the strain gradient theory and isogeometric finite element formulation. The nonlinear nonlocal strain gradient is developed based on the Reissner-Mindlin plate theory and the Von-Karman strain assumption. The sigmoid function is utilized to modify the classical functionally graded material to ensure the constituent volume distribution. Two different patterns of porosity distribution are investigated, viz. pattern A and pattern B, in which the porosities are symmetric and asymmetric varied across the plate's thickness, respectively. The nonlinear finite element governing equations are established for bending analysis of S-FGM nanoplates, and the Newton-Raphson iteration technique is derived from the nonlinear responses. The isogeometric finite element method is the most suitable numerical method because it can satisfy a higher-order derivative requirement of the nonlocal strain gradient theory. Several numerical results are presented to investigate the influences of porosity distributions, power indexes, aspect ratios, nonlocal and strain gradient parameters on the porous S-FGM nanoplate's linear and nonlinear bending responses.

• Journal of applied mathematics & informatics
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• 제40권5_6호
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• pp.857-871
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• 2022

In this work, we formulated a mathematical model for divorce in marriage and extended in to an optimal control model. Firstly, we qualitatively established the model positivity and boundedness. Also we saw sensitivity analysis of the model and identified the positive and negative indices parameters. An optimal control model were developed by incorporating three time dependent control strategies (couple relationship education, reducing getting married too young & consulting separators to renew their marriage) on the deterministic model. The Pontryagin's maximum principle were used for the derivation of necessary conditions of the optimal control problem. Finally, with Newton's forward and backward sweep method numerical simulation were performed on optimality system by considering four integrated strategies. So that we reached to a result that using all three strategies simultaneously (the strategy D) is an optimal control in order to effectively control marriage divorce over a specified period of time. From this we conclude that, policymakers and stakeholders should use the indicated control strategy at a time in order to fight against Divorce in a population.

• Structural Engineering and Mechanics
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• 제70권6호
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• pp.737-750
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• 2019

This paper investigates the static and dynamic behaviors of imperfect single walled carbon nanotube (SWCNT) modeled as a beam structure by using energy-equivalent model (EEM), for the first time. Based on EEM Young's modulus and Poisson's ratio for zigzag (n, 0), and armchair (n, n) carbon nanotubes (CNTs) are presented as functions of orientation and force constants. Nonlinear Euler-Bernoulli assumptions are proposed considering mid-plane stretching to exhibit a large deformation and a small strain. To simulate the interaction of CNTs with the surrounding elastic medium, nonlinear elastic foundation with cubic nonlinearity and shearing layer are employed. The equation governed the motion of curved CNTs is a nonlinear integropartial-differential equation. It is derived in terms of only the lateral displacement. The nonlinear integro-differential equation that governs the buckling of CNT is numerically solved using the differential integral quadrature method (DIQM) and Newton's method. The linear vibration problem around the static configurations is discretized using DIQM and then is solved as a linear eigenvalue problem. Numerical results are depicted to illustrate the influence of chirality angle and imperfection amplitude on static response, buckling load and dynamic behaviors of armchair and zigzag CNTs. Both, clamped-clamped (C-C) and simply supported (SS-SS) boundary conditions are examined. This model is helpful especially in mechanical design of NEMS manufactured from CNTs.