• International Journal of Aeronautical and Space Sciences
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• 제18권4호
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• pp.729-739
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• 2017

The objective of this study was to optimize minimum-energy impulsive spacecraft intercept using genetic algorithms. A mathematical model was established on two-body system based on f and g solution and universal variable to address spacecraft intercept problem for non-coplanar elliptical orbits. This nonlinear problem includes many local optima due to discontinuity and strong nonlinearity. In addition, since it does not provide a closed-form solution, it must be solved using a numerical method. Therefore, the initial guess is that a very sensitive factor is needed to obtain globally optimal values. Genetic algorithms are effective for solving these kinds of optimization problems due to inherent properties of random search algorithms. The main goal of this paper was to find minimum energy solution for orbit transfer problem. The numerical solution using initial values evaluated by the genetic algorithm matched with results of Hohmann transfer. Such optimal solution for unrestricted arbitrary elliptic orbits using universal variables provides flexibility to solve orbit transfer problems.

• Earthquakes and Structures
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• 제7권1호
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• pp.1-15
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• 2014

In this paper we consider three different cases and we apply Variational Approach (VA) to solve the non-natural vibrations and oscillations. The method variational approach does not demand small perturbation and with only one iteration can lead to high accurate solution of the problem. Some patterns are presented for these three different cease to show the accuracy and effectiveness of the method. The results are compared with numerical solution using Runge-kutta's algorithm and another approximate method using energy balance method. It has been established that the variational approach can be an effective mathematical tool for solving conservative nonlinear dynamical equations.

• Journal of applied mathematics & informatics
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• 제13권1_2호
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• pp.11-27
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• 2003

A fourth order in time and second order in space scheme using a finite-difference method is developed for the non-linear Boussinesq equation. For the solution of the resulting non-linear system a predictor-corrector pair is proposed. The method is analyzed for local truncation error and stability. The results of a number of numerical experiments for both the single and the double-soliton waves are given.

• Journal of Platform Technology
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• 제10권3호
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• pp.3-10
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• 2022

The effectiveness of an innovative skin treatment system that delivers an anti-aging solution deep into the skin without invasiveness and pain using a non-invasive air technology was investigated. In addition, an effective change using a non-invasive technique for delivering a solution for skin improvement was confirmed. The equipment named Cellre Jet is an effective skin care and drug delivery equipment that instantly opens the skin epidermis by using a maximum output pressure of 6 bars and high-pressure purified oxygen of 75-90% purity to deliver various nano-sized vital substances deep into the skin, and it uses the method of precisely controlling the equipment through an 8-inch digital touch display to accurately dispense the prescribed dosage. In this study, changes in skin condition were analyzed using this equipment and nano ampoules on subjects with actual skin problems through a related comparison and effectiveness judgment program. Through this study, skin care and drug delivery are possible, which will contribute to verifying the effectiveness of this non-invasive drug delivery equipment in the future, and is expected to establish the systematic effect in observing and studying changes in the skin.

• 대한기계학회논문집A
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• 제28권4호
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• pp.467-474
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• 2004

A numerical method and algorithms is proposed to perform optimization of non-linear response structures. An analytical and numerical method based finite element method is also proposed for the transformation of non-linear response into linear response. Loads transformed from this method are defined as the equivalent linear loads. With the loads and the transformed response, linear static optimization is performed for nonlinear response structure with geometric and/or material non-linearity. The results of the optimization are compared with them of typical non-linear response optimization using finite difference method. The proposed method is very efficient and derives good solution.

• 한국인터넷방송통신학회논문지
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• 제10권5호
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• pp.245-249
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• 2010

현재 차량에서 일반적으로 많이 쓰이고 있는 변속 스위치의 방법은 전위차를 신호로하는 접촉식이다. 접촉식은 신호전달에 있어서 정확한 방식의 하나이지만 장시간 사용 시 접촉면의 노후화로 인하여 수명이 짧아진다. 비 접촉 방식으로 사용될 수 있는 자기센서를 사용 한다면 접촉면의 노후화를 해결 할 수 있다. 본 논문에서는 자기센서의 특징을 살려서 비 접촉식 방법으로 차량용 변속스위치에 적용 하여 기존 접촉식 방법의 문제를 해결하였다. 센서 출력 전압은 가변적인 전위차를 가지는데 스위치의 각동에 따라 통상 0mV에서 150mV의 값을 가진다. 본 연구에서는 5개의 상태 신호에 대한 두 개의 사인 신호를 사용 하였다.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2004년도 춘계학술대회
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• pp.999-1004
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• 2004

A numerical method and algorithms is proposed to perform optimization of non-linear response structures. An analytical and numerical method based finite element method is also proposed for the transformation of non-linear response into linear response. Loads transformed from this method are defined as the equivalent linear loads. With the loads and the transformed response, linear static optimization is performed for nonlinear response structure with geometric and/or material non-linearity. The results of the optimization are compared with them of typical non-linear response optimization using finite difference method. The proposed method is very efficient and derives good solution.

• 한국원자력학회:학술대회논문집
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• 한국원자력학회 2004년도 추계학술발표회 발표논문집
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• pp.151-152
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• 2004

An acceleration technique combined with the discrete ordinates method which has been widely used in the solution of neutron transport phenomena is applied to the solution of radiative transfer equation. The self-adjoint form of the second order radiation intensity equation is used to enhance the stability of the solution, and a new linearization method is developed to avoid the nonlinearity of the material temperature equation. This new acceleration method is applied to the well known Marshak wave problem, and the numerical result is compared with that of a non-accelerated calculation

• Structural Engineering and Mechanics
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• 제16권6호
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• pp.731-748
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• 2003

In this paper a thick cylindrical shell with varying thickness which is subjected to static non-uniform internal pressure is analyzed. At first, equilibrium equations of the shell have been derived by the energy principle and by considering the first order theory of Mirsky-Herrmann which includes transverse shear deformation. Then the governing equations which are, a system of differential equations with varying coefficients have been solved analytically with the boundary layer technique of the perturbation theory. In spite of complexity of modeling the conditions near the boundaries, the method of this paper is very capable of providing a closed form solution even near the boundaries. Displacement predictions are in a good agreement with the calculated finite elements and other analytical results. The convergence of solution is very fast and the amount of calculations is less than the Frobenius method.

• 전기의세계
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• 제22권1호
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• pp.28-34
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• 1973

This paper treats with the sub-optimal control problem of noninear systems by approximation method. This method involves the approximation by linearization which provides the sub-optimal solution of non-linear control problems. The result of this work shows that, in the problem in which the controlled plant is characterized by an ordinary differential equation of first order, the solution obtained by this method coincides with the exact solution of problem. In of case of the second or higher order systems, it is proved analytically that this method of linearization produces the sub-optimal solution of the given problem. It is also shown that the sub-optimality of solution by the method can be evaluated by introducing the upper and lower bounded performance indices. Discussion is made on the procedure with some illustrative examples whose performance indices are given in the quadratic forms.