• Structural Engineering and Mechanics
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• 제5권3호
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• pp.329-338
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• 1997

In this paper a general analytical approach is proposed to analyse the nonlinear response of elastic cable under complex loads. The effect of temperature change on the cable is also considered. From the vertical equilibrium equations of cable, the general analytical formula of vertical displacement is derived. Based on the vertical displacement formula and on the compatibility condition of the cable, the dimensionless equation with respect to cable tension is established. By means of such analytical procedures, the exact solutions of various cable problems can be obtained quickly. The example given in this paper shows that the new procedure is efficient for practical analysis and can be easily implemented by a general computer program without the superposition problem which there has always been in traditional analytical methods.

• 전기학회논문지
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• 제63권10호
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• pp.1377-1383
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• 2014

This paper deals with eddy current loss of magnetic coupling with radial permanent magnet (PM) using analytical method such as a space harmonic method. Superposition of two kinds analysis model is used to analyze eddy current loss induced in inner PM and outer PM of magnetic coupling. When the eddy current is induced, the environmental temperature increases, and the permanent magnet(PM) characteristics are degraded because the performance of PM is greatly influenced by temperature rise. Hence, the calculation of eddy current loss becomes an important factor in the magnetic coupling. In order to analyze eddy current loss, first, on the basis of the magnetic vector potential and two-dimensional(2-D) polar-coordinate system, the magnetic field solutions of the radial magnetized PM are obtained. And we obtain the analytical solutions for the eddy current density produced by permanent magnet. Lastly, analytical solutions for eddy current loss are derived by using equivalent, electrical resistance calculated from magnet volume and analytical solution for eddy current density. This analytical results are validated by comparing with the 2-D finite element analysis (FEA).

• 대한조선학회지
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• 제13권1호
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• pp.25-34
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• 1976

Analytical solutions for the transient temperature and quasi-static thermal stresses which arise in thin plates subjected to an instantaneous point source of heat have been investigated. And the solutions have been extended to the case of a moving source of heat with the aid of the Duhamel's superposition integral. For finite disk an experiment was conducted, the measured temperature histories show a good agreement with the theoretical temperature histories, And the histories of thermal stresses show a good qualitative agreement with the physical phenomena. And also we can find out that the maximum temperature and thermal stresses and their location can be estimated by using the solutions for infinite plates instead of the solutions for a finite plate. The solutions can be used for the problems such as a welding or line heating in a hull construction.

• 대한조선학회지
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• 제12권2호
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• pp.13-34
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• 1975

Analytical solutions for the transient temperature distribution and quasi-static thermal stresses which arise in a thin circular disk of finite radius subjected to an instantaneous point source acting in its interior have been obtained. And the solutions have been extended to the case of a moving heat source with the aid of the Duhamel's superposition integral. The solutions given are in the form of double infinite serieses, and their numerical results have been compared with the experimental temperature histories. It can be found out that the theoretical histories of thermal stresses show a good agreement with the experimental results and the theoretical histories of thermal stresses show a good qualitative agreement with a physical phenomena. The solutions can be applied to the problems such as a flame hardening of the cylindrical machine elements and a circular patch welding or a circular cutting of the structural member.

• 한국해안해양공학회지
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• 제17권4호
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• pp.232-242
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• 2005

본 연구에서 Penney and Price(1952)의 해석 해를 사용하여 반무한방파제, 양익방파제 등에서 발생하는 파랑의 회절 및 다중반사 현상에 대한 해석 해를 구하였다. 구조물에서의 반사 현상을 양익방파제를 지나는 회절 현상으로 간주하여 방파제에서 발생하는 단일반사 및 다중반사 현상을 규명하였다. 이를 바탕으로 방파제의 위치와 입사파랑의 각도에 따라 다른 경우에도 해석해를 구할 수 있다. 이러한 해석해는 국내의 항만 실무자들에게 회절 및 다중반사 현상에 대한 이해를 도울 수 있을 것이며, 실무의 해안 및 항만 구조물 설계 시에 사용되는 수치프로그램들의 정확도를 판단할 수 있는 비교 대상으로 사용될 수 있으리라 판단된다.

• Journal of Mechanical Science and Technology
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• 제20권6호
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• pp.882-895
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• 2006

Surface and interfacial waves in two superposed horizontal inviscid fluids of finite depths are studied. The flow is induced by translating a vertical rigid plate with a prescribed velocity. Analytical solutions that accurately predict the motion of the free surface and the interface are obtained by using a small-Froude-number approximation. Three different velocities of the plate are considered, while flows induced by any arbitrary motion of the plate can be easily analyzed by a linear superposition of the solutions obtained. It is shown that pinching of the upper layer can occur for a sufficiently thin upper layer, which leads to its rupture into small segments. Other interesting phenomena, such as primary and secondary wiggles generated on the interface near the wavemaker, are discussed.

• 설비공학논문집
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• 제9권1호
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• pp.43-54
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• 1997

This paper presents an approximate analytical solution to a two-region one-dimensional model for the charging process of stratified thermal storage tanks with variable inlet temperature in the presence of momentum-induced mixing. Based on the superposition principle, an arbitrary-varying inlet temperature is decomposed into inherent discontinuous steps and continuous intervals approximated as a finite number of piecewise linear functions. This approximation allows the temperature of the upper perfectly-mixed layer to be expressed in terms of constant, linear and exponential functions with respect to time. Applying the Laplace transform technique to the model equation for the lower thermocline layer subject to each of three representative interfacial conditions yields compact-form solutions, a linear combination of which constitutes the final temperature profile. A systematic method for deriving solutions to the plug-flow problem having polynomial-type boundary conditions is also established. The effect of adiabatic exit boundary on solution behaviors proves to be negligible under the actual working conditions, which justifies the assumption of semi-infinite domain introduced in the solution procedure. Finally, the approximate solution is validated by comparing it with an exact solution obtained for a specific variation of inlet temperature. Excellent agreements between them suffice to show the necessity and utility of this work.

• 대한기계학회논문집
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• 제9권1호
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• pp.10-17
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• 1985

본 논문의 목적은 앞서의 크랙대신 2차원 탄성문제의 경계를 따라 절편적인 전위(discrete edge dislocation)를 분포시켜 경계응력과 평형을 이루는 전위벡타의 크기를 얻고 이들로 부터 영역내 임의의 점에서 응력을 얻는데 있다. 크랙에 대한 전위이론의 적용에서와는 달리 여기서는 경계가 폐곡선을 이루므로 이에따른 전위분 포 방법이 논의 되었다. 또한 이 방법의 실용성을 알기위해 4가지 경우에 적용되 어 얻어진 수치해의 특성이 개별적으로 검토 되었다. 이들 경우에 대해서는 전위 분포법이 유한요소법에 비해 효율적이었다. 이 방법의 확장, 개선점, 일반적인 평 가 특히 계산능률면에서 다른 수치적 방법과의 광범위한 비교평가등이 앞으로 연구될 수 있는 과제라고 판단된다.