• Title/Summary/Keyword: Integral calculation

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Response Characteristics of a Lumped Parameter Impact System under Random Excitation (집중질량 충격시스템의 불규칙가진에 대한 응답특성)

  • 이창희
    • Journal of KSNVE
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    • v.9 no.4
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    • pp.778-784
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    • 1999
  • A method for obtaining the motion of an impact system whose primary and secondary system are composed of lumped masses, springs and dampers, and all the contacts are made through spring and damping elements is presented. The frequency response functions derived from the equations of motion and the impulse response functions obtained from the inverse Fourier transform of the derived frequency response functions are used for the calculation of the system responses. The procedure developed for the calculation of displacements and force time-histories was based on the convolution integrals of impulse response functions and forces applied to the systems. Time histories of displacements and contact forces are obtained for the case where a random excitation is applied to a point in the system. Impact statistics such as contact forces and the time between impacts calculated from those time histories is presented.

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Flux Linkage Calculation for 3-D Finite Element Analysis

  • Im, Chang-Hwan;Jung, Hyun-Kyo;Kim, Hong-Kyu
    • KIEE International Transaction on Electrical Machinery and Energy Conversion Systems
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    • v.12B no.1
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    • pp.13-18
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    • 2002
  • Novel method to calculate flux linkage for 3-D finite element analysis is proposed. It does not require any integral path if the current direction in a coil is known. The flux linkage can be calculated very easily using simple volume based integration. The current direction is calculated based on the recently developed technique by the authors. The novel method for flux linkage calculation is verified by applying to a very complicated deflection yoke coil. The simulation result is compared to the experimental one. From the simulation, it is shown that the proposed method is very accurate and effective to calculate the flux linkage of a coil.

Moments calculation for truncated multivariate normal in nonlinear generalized mixed models

  • Lee, Seung-Chun
    • Communications for Statistical Applications and Methods
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    • v.27 no.3
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    • pp.377-383
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    • 2020
  • The likelihood-based inference in a nonlinear generalized mixed model often requires computing moments of truncated multivariate normal random variables. Many methods have been proposed for the computation using a recurrence relation or the moment generating function; however, these methods rely on high dimensional numerical integrations. The numerical method is known to be inefficient for high dimensional integral in accuracy. Besides the accuracy, the methods demand too much computing time to use them in practical analyses. In this note, a moment calculation method is proposed under an assumption of a certain covariance structure that occurred mostly in generalized mixed models. The method needs only low dimensional numerical integrations.

Stress Intensity Factor Calculation for the Semi-elliptical Surface Flaws on the Thin-Wall Cylinder using Influence Coefficients (영향계수를 이용한 원통용기 표면결함의 응력확대계수의 계산)

  • Jang, Chang-Heui;Moonn, Ho-Rim;Jeong, Ill-Seok
    • Proceedings of the KSME Conference
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    • 2001.06a
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    • pp.280-285
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    • 2001
  • As an integral part of the probabilistic fracture mechanics analysis, stress intensity factor calculation scheme for semi-elliptical surface flaws in thin-walled cylinder has been introduced. The approximation solution utilizes the influence coefficients to calculate the stress intensity factor at the crack tip. This method has been compared with other solution methods including 3-D finite element analysis for cooldown boundary condition. The analysis results confirmed that the simplified methods provided sufficiently accurate stress intensity factor values for axial semi-elliptcal flaws on the surface of the reactor pressure vessel.

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Analytical Analysis of Cogging Torque in Motors of Permanent MagneticType (영구자석을 사용한 모터의 코깅토크에 관한 이론적 해석)

  • Go, Hong-Seok;Kim, Gwang-Jun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.7 s.178
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    • pp.1795-1800
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    • 2000
  • One of the principal sources of vibration and noise in permanent magnetic machines is cogging torque, which is induced by interaction between the rotor poles and the stator teeth. For its analysis, using finite element analysis is very time consuming and the calculation of performance factors is extremely sensitive to the discretization. Especially, Maxwell stress tensor method is sensitive to the location of integral path. In this paper, a cogging permeance fuction is defined and replaced by the straight line. And it is assumed that the flux density acting on the stator's tooth side is the euqal to the flux density of the slot area. Using this definition and assumption, analytical calculation of cogging torque is presented and validated. And several reduction method is introduced.

The Calculation Method of the Breakdown Voltage for the Drain Region with the Cylindrical Structure in LDMOS (Cylindrical 구조를 갖는 LDMOS의 Drain 역방향 항복전압의 계산 방법)

  • Lee, Un Gu
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.61 no.12
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    • pp.1872-1876
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    • 2012
  • A calculation method of the breakdown voltage for the drain region with the cylindrical structure in LDMOS is proposed. The depletion region of the drain is divided into many smaller regions and the doping concentration of each split region is assumed to be uniformly distributed. The field and potential in each split region is calculated by the integration of the Poisson equation and the ionization integral method is used to compute the breakdown voltage. The breakdown voltage resulted from the proposed method shows the maximum relative error of 2.2% compared with the result of the 2-dimensional device simulation using BANDIS.

A Modified Calculation of Electromagnetic Shielding Effectiveness Considering Some electrical Parameters (발산가응계통에서의 뉴톤-랍슨 전력게통합)

  • Sang-Jin Lee;Myung-Hwan Oh
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.31 no.12
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    • pp.173-179
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    • 1982
  • This paper presents a modified quasi-static approximate solution derived from the Maxwell's equations of integral form for the calculation of magnetic shielding effectiveness in a non-uniform enclosure such as metal-clad high-voltage test laboratory. It also describes the simplified relationship between the electrical parameters applicable to the engineering calculations of electromagnetic absorption loss which comprise the resultant effects due to the welding seams and short-circuited slots as well as the shielding material properties. A numerical example shows the fairly good agreements with experimental results measured on the absorption loss vs. incident wave frequency without any unreasonable rapid increase.

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The Loss Calculation of Eddy Current of the Tank and Winding Supports in Transformers by the Leakage Flux (누설자속에 의한 대용량 변압기의 권선지지구조 및 외함의 와전류손실 계산에 관한 연구)

  • Heo, Woo-Heng;Lee, Dong-Yeup;Kim, Gyu-Tak
    • Proceedings of the KIEE Conference
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    • 2005.07b
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    • pp.948-950
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    • 2005
  • This paper compared the test data with the loss when a conductor is exposed to the magnetic fieldof reactors after generating external magnetic field in specimen by means of an air core reactor model and the calculation of loss came from a tying the combination of FEM and integral method. It was applied to the loss measurement of transformers due to leakage flux.

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Calculation Correctio Factor of Bridge Capacity using Fuzzy Sets Theory (퍼지를 이용한 교량 안전도평가의 보정계수 산정)

  • 조원신;박기태;김상효;황학주
    • Proceedings of the Korea Concrete Institute Conference
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    • 1992.10a
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    • pp.240-244
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    • 1992
  • The values of a linguistic variable are words, phrases, or sentences in a given language. For example, structural damage can be considered as linguistic variable with values such a 'severely damaged', 'moderately damaged', which are meaningful classifications but not clearly defined, This paper is to evaluate reasonably the correction factor of bridge capacity with the aid of fuzzy sets theory. By using the above mentioned fuzzy measure, the concept of fuzzy integral and linear membership function can be defined. It is concluded that the fuzzy sets theory cam be applied to determine reasonably the correction factor of bridge capacity.

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FMM for the electromagnetic analysis of PCB (PCB의 EM해석을 위한 FMM)

  • Oh, Se-Jun;Oh, Jae-Hyun;Ahn, Chang-Hoi
    • Proceedings of the KIEE Conference
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    • 2008.10a
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    • pp.111-112
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    • 2008
  • Induced electromagnetic fields of printed circuit board are computed using method of moment. In this calculation PEC and dielectric boards are considered when exposed to the external fields. The volume and surface integral equations are presented for the electromagnetic wave scattering from plate structures composed of dielectric and conducting objects. To reduce the computing time a fast multipole technique is applied.

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