• Journal of the Chungcheong Mathematical Society
• /
• v.26 no.1
• /
• pp.243-248
• /
• 2013

In this paper, we introduce the mathematical resistance and examine its properties and consider the applications of mathematical resistance to conformal mappings. We obtain the theorems in the connection with "the mathematical resistance zero" and "the fundamental sequences".

• Bulletin of the Society of Naval Architects of Korea
• /
• v.16 no.2
• /
• pp.9-14
• /
• 1979

Havelock was considered the wave resistance of a post extending vertically downwards through the water from the surface, its section by a horizontal plane being the same at all depths and having its breath small compared with its length. This enables us to elucidate certain points of interest in ship resistance. However, the ship has not infinte draft. So, the problem which is investigated in detail in this paper is the wave resistance of a mathematical quadratic model in a uniform stream. The author wishes to study the effect of viriation of draft. The form of the water-plane is varied while keeping in length and the cross sectional area constant. As a numerical example, we calculated the wave resistance for mathematical quadratic ship models. The results are compared with a post having infinite depth. The results are as follows; The models with finer ends have smaller wave resistance up to $V/\sqrt{L}=1.1{\sim}1.2$ than its mate with blunter ends, but above this speed the models with blunter ends have less wave resistance. According to the decrease of draft, the wave resistance gap between the models with blunter ends the models with finer ends decrease at high speed. In this case of T/L=0.025, the models with finer ends have less wave resistance than the models with blunter ends at high speed.

• Journal of the Korean Mathematical Society
• /
• v.44 no.3
• /
• pp.707-717
• /
• 2007

Arches are constrained with rotational resistance at both edges. An energy method is used to derive variational formulation which is used to prove the existence of equilibrium states of elastic circular arches for the torsional spring constants ${\rho}-\;{\geq}\;0,\;{\rho}+\;{\geq}\;0,\;and\;{\rho}-\;+\;{\rho}+\;>\;0$. The boundary conditions are searched using the existence of minimum potential energy.

• Proceedings of the Korean Society for Agricultural Machinery Conference
• /
• 1996.06c
• /
• pp.369-378
• /
• 1996

A Lugged steel wheel was operated with two kinds of travel reduction on a sandy clay. " Small -sized transucers of the three-surfaced lug type " were installed to the wheel for the measurement of normal and tangential forces acting on a trailing lug side, lug face and a leading lug side separately . The external results acting on each surface were calculated from those measured forces. This results proved qualitatively that the relationships between external forces and lug surfaces obtained from mathematical analyses were external forces and lug surfaces obtained from mathematical analyses were correct. The traction, the motion resistance and the dynamic load were changing at the three lug surface under various operating conditions . Therefore, total analyses of three surface were indispensable to discuss the performance of the wheel lug.

• International Journal of Naval Architecture and Ocean Engineering
• /
• v.7 no.5
• /
• pp.785-794
• /
• 2015

To obtain low resistance and high efficiency energy-saving ship, minimum total resistance hull form design method is studied based on potential flow theory of wave-making resistance and considering the effects of tail viscous separation. With the sum of wave resistance and viscous resistance as objective functions and the parameters of B-Spline function as design variables, mathematical models are built using Nonlinear Programming Method (NLP) ensuring the basic limit of displacement and considering rear viscous separation. We develop ship lines optimization procedures with intellectual property rights. Series60 is used as parent ship in optimization design to obtain improved ship (Series60-1) theoretically. Then drag tests for the improved ship (Series60-1) is made to get the actual minimum total resistance hull form.

• Journal of Magnetics
• /
• v.17 no.4
• /
• pp.280-284
• /
• 2012

This paper presents a method for evaluating interior permanent magnet synchronous motor (IPMSM) performance over the entire operation region. Using a d-q axis equivalent circuit model consisting of motor parameters such as the permanent magnetic flux, copper resistance, core loss resistance, and d-q axis inductance, a conventional mathematical model of an IPMSM has been developed. It is well understood that in IPMSMs, magnetic operating conditions cause cross saturation and that the iron loss resistance - upon which core losses depend - changes according to the motor speed; for the sake of convenience, however, d-q axis machine models usually neglect the influence of magnetic cross saturation and assume that the iron loss resistance is constant. This paper proposes an analysis method based on considering a magnetic cross saturation and estimating a core loss resistance that changes with the operating conditions and speed. The proposed method is then verified by means of a comparison between the computed and the experimental results.

• Journal of the Korea Society for Simulation
• /
• v.32 no.4
• /
• pp.1-10
• /
• 2023

This study examines the response when the shock by underwater explosion is transmitted to a vertical launch air-vehicle mounted on a ship using modeling and simulation, and is about a plan to increase method shock resistance to protect the air vehicle. In order to obtain an accurate mathematical model, a dynamic characteristic test was performed on similar equipment, and through this, the mathematical model could be supplemented. And, using the supplemented mathematical model, the air vehicle simulated the shock response by the underwater explosion specified in the BV043 standard. As a result of the first simulation, it was confirmed that air vehicle could not withstand shock, and air vehicle protection method using a ring spring type shock absorber was studied. In addition to the basic shape of abosber, it was confirmed that the ring spring absober can be used to increase the impact resistance of a shipborn vertical launch vehicle by performing simulations for each case by changing deseign varables.

• Journal of Power Electronics
• /
• v.9 no.3
• /
• pp.354-364
• /
• 2009

Rotor resistance variation due to changing rotor temperature is a significant issue in the design of induction motor controls. In this work, a new on-line rotor resistance estimator is proposed based on an alternate qd induction machine model which provides better mathematical representation of an induction machine than the classical qd model (which uses constant parameters). This is because the former simultaneously includes leakage saturation, magnetizing path saturation, and distributed circuit effects in the rotor conductors. The comparisons via computer simulation studies show the ability of the proposed estimator to accurately track rotor resistance variation. For the experimental studies, due to the difficulty in measuring the actual rotor resistance, comparison of the controller performance using the proposed estimator, the classical qd model based estimator, and no estimator is made.

• Bulletin of the Society of Naval Architects of Korea
• /
• v.13 no.4
• /
• pp.11-18
• /
• 1976

In 1925 Havelock compared theoretical wave resistance with experimental one varying draft, in which the two ship's forms were different from each other. So, in this paper theoretical wave resistance was compared with the experimental one on the ship of the same form. And, though Havelock calculated theoretical wave resistance by mathematical artifice, in this paper it was calculated by computer using the method of numerical integration. In Havelock's paper, the increment of wave resistance decreased when the draft increased. but in this paper the conclusion is changed: the increment of wave resistance increases when the draft increases. The reason is supposed by the effect of the displacement of the ship.

• International Journal of Contents
• /
• v.1 no.1
• /
• pp.1-5
• /
• 2005

This paper presents the development and application of electrical resistance imaging techniques for the visualization of two-phase flow fields. Two algorithms, the so-called the mesh grouping and the boundary estimation, are described for potential applications of electrical resistance tomography (ERT) and results from extensive numerical simulations are also presented. In the electrical resistance imaging for two-phase flows, numerical meshes fairly belonging to each phase can be grouped to improve the reconstruction performance. In many cases, the detection of phase boundary is a key subject and a mathematical model to estimate phase boundary can be formulated in a different manner. Our results indicated that the mesh grouping algorithm is effective to enhance computational performance and image quality, and boundary estimation algorithm to determine the phase boundary directly.