• Title/Summary/Keyword: Variation principle

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Limit speeds and stresses in power law functionally graded rotating disks

  • Madan, Royal;Saha, Kashinath;Bhowmick, Shubhankar
    • Advances in materials Research
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    • v.9 no.2
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    • pp.115-131
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    • 2020
  • Limit elastic speed analysis of Al/SiC-based functionally graded annular disk of uniform thickness has been carried out for two cases, namely: metal-rich and ceramic rich. In the present study, the unknown field variable for radial displacement is solved using variational method wherein the solution was obtained by Galerkin's error minimization principle. One of the objectives was to identify the variation of induced stress in a functionally graded disk of uniform thickness at limit elastic speed using modified rule of mixture by comparing the induced von-Mises stress with the yield stress along the disk radius, thereby locating the yield initiation. Furthermore, limit elastic speed has been reported for a combination of varying grading index (n) and aspect ratios (a/b).Results indicate, limit elastic speed increases with an increase in grading indices. In case of an increase in aspect ratio, limit elastic speed increases up to a critical value beyond which it recedes. Also, the objective was to look at the variation of yield stress corresponding to volume fraction variation within the disk which later helps in material tailoring. The study reveals the qualitative variation of yield stress for FG disk with volume fraction, resulting in the possibility of material tailoring from the processing standpoint, in practice.

Analysis of Color Combination with Value Variation on Signboards in Complex Commercial Facilities (복합상업시설 간판의 명도변화 색채구성 분석)

  • Chung, Jae-Hoon
    • Journal of the Architectural Institute of Korea Planning & Design
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    • v.35 no.1
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    • pp.83-92
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    • 2019
  • Advertising signboards are designed for the visibility to affects recall and recognition of costumers. It is well know that the visibility from images is created by the value difference among colors. The research defines whether the background color combination of outdoor signboards is configured to maximize visibility, by a series of color value variation in complex commercial facilities. The subject of study is to examine how the visibility is made by the color combination since visibility cannot be obtained independently. Two steps of analysis were performed to confirm that the color composition of signboards was based on the color value difference. The first is to analyze that the entire colors of signboards are clearly categorized as different value groups. All components of colors, hue, value and chroma had been analyzed by color aesthetic measures to prove that the value variation has the only regularity and the principle of composition. The second step is a further verification with an ample amount of samples to determine whether series of signboards create a value altering pattern. The data for analysis is gained by colorimetric survey and the color data are used for exponentializing the degree of combining, which shows selective affinity between each pair colors.

LAYERWISE FORMULATION OF PIEZOELECTRIC LAMINATED COMPOSITES

  • Lee, Jaehong-;Ham, Hee-Jung
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1994.10a
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    • pp.121-128
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    • 1994
  • A layerwise theory for the dynamic response of a laminated composite plate with integrated piezoelectric actuators and sensors subjected to both mechanical and electrical loadings is proposed. The formulation is derived form the variational principle with consideration for both total potential energy of the structures and the electrical potential energy of the piezoceramics. The governing equations of the present theory account for direct and converse effects of piezoelectrics, and layerwise variation of displacement field through the thickness of a laminate.

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An analysis on the Parametric Transformer (Parametric Transformer의 동작해석)

  • Hwang, Young-Moon;Jeong, Kee-Hwa;Park, Han-Woong
    • Proceedings of the KIEE Conference
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    • 1991.07a
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    • pp.31-33
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    • 1991
  • A passive power converter operating on the principle of parametric excitation, called Parametric transformer, is analyzed. The energy transfer from the input to the output is achieved through the double frequency variation of magnetic path reluctance to the input frequency without mutual flux coupling between two windings. Thus, output becomes available which is essentially independant of waveform of excitation. The mathmatical model of the device is developed and its solution is obtained. The outstanding characteristics of the device is explained from the analysis.

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On the Optimum Linear Voltage Regulator of a Self-excited DC Shunt Generator (직류자여자분권발전기의 최적선형전압조정기에 관한 연구)

  • Jong Swoo Won
    • 전기의세계
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    • v.22 no.4
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    • pp.11-16
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    • 1973
  • This paper presents an optimum control of the field resistance for the self-excited DC shunt generator to keep a constant terminal voltage in case of the load change or the torque variation in the system. The non-linearity of the system is linearized by applying the small signal technique and the linearized equation is solved by the maximum principle with the digital computer. The optimal control value of the field resistance for the step error of the generator output voltage is obtained and the transient voltage characteristics in the system are investigated.

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Nonlinear Dynamic Analysis of Fiber Movement

  • Shen Danfeng;Ye Guoming
    • Fibers and Polymers
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    • v.7 no.2
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    • pp.191-194
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    • 2006
  • This paper adopts nonlinear vibration method to analyze the fluctuation process of fiber movement. Based on Hamilton Principle, this paper establishes differential equation of fiber axial direction movement. Using variable-separating method, this paper separates time variable from space variable. By using the disperse movement equation of Galerkin method, this paper also discusses stable region of transition curve and points out those influencing factor and variation trend of fiber vibration.

Embodiment of all-optical switching phenomena on a GaAs waveguide

  • Lee, Sang-Jae
    • Journal of Sensor Science and Technology
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    • v.5 no.5
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    • pp.85-95
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    • 1996
  • Based on the transmission of coupled gap solitons in nonlinear periodic media, we present an all-optical switching scheme which has a novel architecture and principle. The proposed switch with an extremely small switching element can be realized on a semiconductor waveguide. We here investigate the switching performance with a GaAs waveguide in order to give criteria for the experimental realization of the all-optical switching phenomena. We also suggest a variation of an index-matching scheme to solve the technical problem such as the input-energy coupling into a periodic waveguide.

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An Improved Grid Impedance Estimation using PQ Variations (PQ변동을 이용한 개선된 계통 임피던스 추정기법)

  • Cho, Je-Hee;Kim, Yong-Wook;Kim, Rae-Young
    • The Transactions of the Korean Institute of Power Electronics
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    • v.20 no.2
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    • pp.152-159
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    • 2015
  • In a weak grid condition, the precise grid impedance estimation is essential to guaranteeing the high performance current control and power transfer for a grid-connected inverter. This study proposes a precise estimation method for grid impedance by PQ variations by employing the variation method of reference currents. The operation principle of grid impedance estimation is fully presented, and the negative impact of the phase locked loop is analyzed. Estimation error by a synchronization angle in the park's transformation using the phase locked loop is derived. As a result, the variation method of reference currents for accurate estimation is introduced. The validation of the proposed method is verified through several simulation results and experiments based on a 2-kW voltage source inverter prototype.

Constrained Dynamic Responses of Structures Subjected to Earthquake

  • Eun, Hee Chang;Lee, Min Su
    • Architectural research
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    • v.8 no.2
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    • pp.37-42
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    • 2006
  • Starting from the quadratic optimal control algorithm, this study obtains the relation of the performance index for constrained systems and Gauss's principle. And minimizing a function of the variation in kinetic energy at constrained and unconstrained states with respect to the velocity variation, the dynamic equation is derived and it is shown that the result compares with the generalized inverse method proposed by Udwadia and Kalaba. It is investigated that the responses of a 10-story building are constrained by the installation of a two-bar structure as an application to utilize the derived equations. The structural responses are affected by various factors like the length of each bar, damping, stiffness of the bar structure, and the junction positions of two structures. Under an assumption that the bars have the same mass density, this study determines the junction positions to minimize the total dynamic responses of the structure.

A Finite Element Analysis for a Rotating Cantilever Beam (회전 외팔보에서의 유한요소 연구)

  • Chung, Jin-Tai;Yoo, Hong-Hee;Kim, Gang-Seong
    • Proceedings of the KSME Conference
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    • 2000.11a
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    • pp.529-534
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    • 2000
  • A finite element analysis for a rotating cantilever beam is presented in this study. Based on a dynamic modelling method using the stretch deformation instead of the conventional axial deformation, three linear partial differential equations are derived from Hamilton's principle. Two of the linear differential equations show the coupling effect between stretch and chordwise deformations. The other equation is an uncoupled one for the flapwise deformation. From these partial differential equations and the associated boundary conditions, are derived two weak forms: one is for the chordwise motion and the other is for the flapwise motion. The weak forms are spatially discretized with newly defined two-node beam elements. With the discretized equations or the matrix-vector equations, the behaviours of the natural frequencies are investigated for the variation of the rotating speed.

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