• Title/Summary/Keyword: Linear relation

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Stability Evaluation & Determination of Critical Buckling Load for Non-Linear Elastic Composite Column (비선형 탄성 복합재료 기둥의 임계 좌굴하중 계산 및 안정성 평가)

  • 주기호;정재호;강태진
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2003.04a
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    • pp.215-219
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    • 2003
  • Buckling and post-buckling Analysis of Ludwick type and modified Ludwick type elastic materials was carried out. Because the constitutive equation, or stress-strain relationship is different from that of linear elastic one, a new governing equation was derived and solved by $4^{th}$ order Runge-Kutta method. Considered as a special case of combined loading, the buckling under both point and distributed load was selected and researched. The final solution takes distinguished behavior whether the constitutive relation is chosen to be modified or non-modified Ludwick type as well as linear or non-linear. We also derived strain energy function for non-linear elastic constitutive relationship. By doing so, we calculated the criterion function which estimates the stability of the equilibrium solutions and determines critical buckling load for non-linear cases. We applied this theory to the constitutive relationship of fabric, which also is the non-linear equation between the applied moment and curvature. This results has both technical and mathematical significance.

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Prediction of Failure Time of Tunnel Applying the Curve Fitting Techniques (곡선적합기법을 이용한 터널의 파괴시간 예측)

  • Yoon, Yong-Kyun;Jo, Young-Do
    • Tunnel and Underground Space
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    • v.20 no.2
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    • pp.97-104
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    • 2010
  • The materials failure relation $\ddot{\Omega}=A{(\dot{\Omega})}^\alpha$ where $\Omega$ is a measurable quantity such as displacement and the dot superscript is the time derivative, may be used to analyze the accelerating creep of materials. Coefficients, A and $\alpha$, are determined by fitting given data sets. In this study, it is tried to predict the failure time of tunnel using the materials failure relation. Four fitting techniques of applying the materials failure relation are attempted to forecast a failure time. Log velocity versus log acceleration technique, log time versus log velocity technique, inverse velocity technique are based on the linear least squares fits and non-linear least squares technique utilizes the Levenberg-Marquardt algorithm. Since the log velocity versus log acceleration technique utilizes a logarithmic representation of the materials failure relation, it indicates the suitability of the materials failure relation applied to predict a failure time of tunnel. A linear correlation between log velocity and log acceleration appears satisfactory(R=0.84) and this represents that the materials failure relation is a suitable model for predicting a failure time of tunnel. Through comparing the real failure time of tunnel with the predicted failure times from four curve fittings, it is shown that the log time versus log velocity technique results in the best prediction.

Analysis of True Stress - True Strain Relations through the Modeling of Ball Indentation Test (압입시험 모델링을 통한 진응력-진변형율 관계 해석)

  • Lee, Ho-Jin;Kim, Ki-Baik;Lee, Bong-Sang;Lee, Byung-Sup
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.660-665
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    • 2003
  • The true stress - true strain relation of SA508 steel was evaluated with analytical and experimental equation on the base of the indentation load-depth curve obtained from the modeling of ball indentation test. The evaluated relation between true stress and true strain is agreed well with that of SA508 teel defined in the modeling. The distribution of effective stress along the center axis of indentation depth was calculated with Tresca criteria in the modeling. The representative strain, which are defined in this study as the corresponding strains obtained from the maximum effective stress, have a linear relation with the true strain. The true stress - true strain relation of austenitic stainless steel was evaluated by the modeling of ball indentation test to verify the case of A508 steel.

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A development of linear compressor for a cryogenic stirling cooler (극저온 스터링 냉동기용 선형 압축기 개발)

  • 지상우;임경화;강희석;강경태
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2001.04a
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    • pp.731-734
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    • 2001
  • A cryogenic stirling cooler is currently under development at Korea Institute of Industrial Technology(KITECH). Cryocooler has many kinds of types. The stirling cooler is the most appropriate one for under 80K with the trait of long life cycle and small size. The stirling cooler uses helium as a working fluid. Helium is pressurized by the linear compressor which is driver by linear motor. In this paper, the change of pressure and volume is studied by the isothermal analysis method. It is necessary to investigate the optimized pressure to meets the highest COP. The compressor's piston and expender's displacer interact according to the working fluid's pressure level and the phase difference. This paper presents the relation between the initial pressure and the work of cryocooler. By that results, we can predict the performance of linear compressor.

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Development of Iron Core type Linear Motor for Machine Tool (공작기계용 철심형 니니어모터 기술개발)

  • 정재한;박재완
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.10a
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    • pp.33-36
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    • 1997
  • The merits of linear motor are high speed, high acceleration and goad positioning accuracy. In addition, Linear motor for high quality machme tool call for high thrust, high stiffness. In using linear motor we also consider thrust ripple, detent force and thermal behavior. In this research, Iron core type single sided linear DC motor(LDM) is designed which thrust is 6,000 N. To accomplish this design, Various research is hlfilled l~ke the relation of thrust and permanent magnet position angle, the variation of detent force and thrust ripple, dynamic characteristics, and so on.

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Research on the Relation between Transformer Oil Flow Electrification and Electrostatic Current

  • Fu, Qiang;Wang, Rui;Zou, Pinguo;Li, Zhao;Yang, Yang;Xie, Xuejun
    • Journal of Electrical Engineering and Technology
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    • v.10 no.2
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    • pp.610-615
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    • 2015
  • In order to study and obtain the mathematical relation between the electrification degree of transformer oil flow and the electrostatic current, a small amount of data about the electrification degree of oil flow and the corresponding electrostatic current is studied by linear regression method and grey model method. The results show that the linear correlation between the electrification degree and the electrostatic current was not good, and the relation between the electrification degree of oil flow and electrostatic current (i) could be expressed as ${\rho}(0)=0.2049\;i^{(0)}+169.4419$ according to grey model GM (0, 2) when the electrification degree of oil flow is represented by the charge number generated from transformer oil per unit volume, namely the charge density (${\rho}$).

Evaluation of Mechanical Property and Microstructure of Forged and T6-treated 6061 Aluminum Alloy Wheel (자동차 휠용 6061 Al합금의 단조 및 T6 열처리 전후의 미세조직과 기계적 특성 평가)

  • Lee, J.H.;Jeong, H.S.;Yeom, J.T.;Kim, J.H.;Park, N.K.;Lee, Y.T.;Lee, D.G.
    • Transactions of Materials Processing
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    • v.16 no.5 s.95
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    • pp.354-359
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    • 2007
  • Effects of forging and mechanical properties of 6061 aluminum alloy wheel for automobiles were investigated in the present study. Microstructural and tensile characteristics of automobile wheel after hot forging process using dynamic screw press were analyzed to evaluate effect of metal flow on mechanical properties. The results showed advanced mechanical properties of 6061 alloy wheel because of $Mg_2Si$ precipitation by T6, elongated grain by forging, and work hardening by dense metal flow, etc. Hot compression tests were conducted in order to characterize high temperature compression deformation behaviors and microstructural variation in the range of $300{\sim}450^{\circ}C$, in the strain rate range of $10^{-3}{\sim}10^1\;sec^{-1}$. As strain rate increased, maximum compression stress increased but it was shown the reverse linear relation between temperature and maximum stress irrelevant to strain rate variation. On the other hand, temperature and yield stress didn't have any linear relation and its relation showed big deviation by a function of strain rate and test temperature.

The Relation of Crystallite Size and Ni2+ Content to Ferromagnetic Resonance Properties of Nano Nickel Ferrites

  • Lafta, Sadeq H.
    • Journal of Magnetics
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    • v.22 no.2
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    • pp.188-195
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    • 2017
  • The ferromagnetic resonance and other magnetic properties dependence on $Ni^{2+}/Fe^{3+}$ ratio and crystallite size were investigated for nano nickel ferrite ($NiFe_2O_4$). The crystallite size was controlled by controlling the nickel content in the starting material solution. The XRD and TEM were utilized to measure the crystallite size through Scherrer formula and particle size respectively. The most frequent particle sizes were lower than crystallite size, which ranged from 16.5 to 44.65 nm. The general behavior of M-H loop shapes and parameters showed superparamagnetic one. The saturation magnetization had a maximum value at $Ni^{2+}/Fe^{3+}$ molar ratio equal to 0.186. The FMR signals showed, generally, broad linewidths, where the maximum width and minimum resonance field were for the sample of the lowest crystalline size. Furthermore, FMR resonance field shows linear dependence on crystalline size. The fitting relation was estimated to express this linear dependency on the base of behavior coincidence between particle size and the inverse of saturation magnetization. The given interpretations to understand the intercept and the slope meanings of the fitted relation were based on Larmor equation, and inhomogeneous in the anisotropy constant.

Evaluation of required seismic gap between adjacent buildings in relation to the Egyptian Code

  • Hussein, Manar M.;Mostafa, Ahmed A.;Attia, Walid A.
    • Structural Engineering and Mechanics
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    • v.78 no.2
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    • pp.219-230
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    • 2021
  • International seismic codes stipulate that adjacent buildings should be separated by a specified minimum distance, otherwise the pounding effect should be considered in the design. Recent researches proposed an alternative method (Double Difference Combination Rule) to estimate seismic gap between structures, as this method considers the cross relation of adjacent buildings behavior during earthquakes. Four different criteria were used to calculate the minimum separation distance using this method and results are compared to the international codes for five separation cases. These cases used four case study buildings classified by different heights, lateral load resisting systems and fundamental periods of vibrations to assess the consistency in results for the alternative methods. Non-linear analysis was performed to calculate the inelastic displacements of the four buildings, and the results were used to evaluate the relation between elastic and inelastic displacements due to the ductility of structural elements resisting seismic loads. A verification analysis was conducted to guarantee that the separation distance calculated is sufficient to avoid pounding. Results shows that the use of two out of the four studied methods yields separation distances smaller than that calculated by the code specified equations without under-estimating the minimum separation distance required to avoid pounding.

GENERAL PROPERTIES OF CONTACT BINARY SYSTEM FOR MASS RATIO DISTRIBUTION (접촉식쌍성의 질량비 분포에 따른 일반적 특성)

  • 오규동
    • Journal of Astronomy and Space Sciences
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    • v.16 no.1
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    • pp.31-40
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    • 1999
  • With a total 761 contact binary systems in Svechnikov & Kuznetsova(1990)'s catalogue, their physical properties by the mass ratio are investigated - for the early CE type with a common radiative envelope and the late CW type with a common convective envelope. It is found that the early CE type shows a higher temperature difference($\mid$$DeltaT$$\mid$) between the primary and secondary components, and also longer period, than the late CW type. The mass ratio of the CW type are distributed in period, than the late CW type. The mass ratio of the CW type are distributed in smaller ranges, from 0.3 to 0.7, than the CE type. Further, the relation between mass ratio and luminosity for the CW type shows a well-defined linear relation, such as ratio and luminosity for the CW type shows a well-defined linear relation, such as $L_2/L_1$ = 0.01 = 0.89q. In the mass ratio-radii relation, it is confirmed that the physical difference of the CE and CW types is a result of the secondary radius. A new mass ratio-radii relation for the CW type is suggested for both the total radius $({gamma}_1/{gamma}_2$ and the radius ratio $({gamma}_2/{gamma}_1$, respectively.

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