• Title/Summary/Keyword: Nonlinear material constant

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Structural nature of chemically inequivalent borons in the nonlinear optical material β-BaB2O4 studied using 11B MAS NMR and 11B single-crystal NMR

  • Kim, Woo Young;Lim, Ae Ran
    • Journal of the Korean Magnetic Resonance Society
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    • v.17 no.2
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    • pp.86-91
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    • 2013
  • Detailed information about the structural nature of three-coordinate borons in ${\beta}-BaB_2O_4$ is obtained through $^{11}B$ MAS NMR and $^{11}B$ single-crystal NMR. The three-coordinate $BO_3$ of the two borons B(1) and B(2) in ${\beta}-BaB_2O_4$ were distinguished. The spin-lattice relaxation time in the laboratory frame $T_1$ for B(1) and B(2) slowly decreases with increasing temperature, whereas the spin-lattice relaxation time in the rotating frame $T_{1{\rho}}$ for B(1) and B(2), which differs from $T_1$, is nearly constant. The B(1) and B(2) of the two types were distinguished by $^{11}B$ MAS NMR and $^{11}B$ single-crystal NMR.

A Study on the Synthesis of Dielectric Constant Potential for Arbitrary Inverse Scattering Pattern Using an Iterative Sampling Method (반복 샘플링법을 사용한 임의 역산란 패턴을 위한 유전율 포텐셜 합성에 관한 연구)

  • 남준석;박의준
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.40 no.10
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    • pp.150-158
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    • 2003
  • In the beam pattern synthesis problem using line source, the relationship between source distribution function and beam pattern may be represented by Fourier transform pair. In this paper, a general method to synthesize the line source distribution for a desired lobe-like beam pattern is presented by developing the nonlinear inversion method based on an iterative sampling technique. This method can be applied to the synthesis of continuously distributed dielectric constants satisfying the desired inverse scattering coefficient patterns when illuminating by TE-polarized and TM-polarized plane waves to arbitrary dielectric material. Furthermore this method can also be applied to the synthesis of transmission line with arbitrary reflection coefficient patterns. Some bandstop spatial filter and dispersive transmission line filter are illustrated for generality.

Application of Volterra Series to Modeling an Elastomer Force-Displacement Relation (고무의 힘-변위 관계를 나타내는 모델링에의 볼테라 급수의 응용)

  • Sung, Dan-Keun
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.6
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    • pp.71-78
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    • 1989
  • The imput-output relations for nonlinear systems can be explicitly represented by the Volterra series and they can be characterized by the Volterra kernels. This study is concerned with modeling an elastomer force-displacement relation due to step inputs by utilizing the truncated Volterra series. Since it is practically impossible to apply step inputs that have infinite slope at zero time, the loads due to constant penetration(displacement) rate followed by constant penetration inputs are measured as an alternative approach and estimated for step inputs and then utilized for the truncated Volterra series models. One second order and one third order truncated Volterra series models have been employed to model the force-displacement relation which is one of the prominent properties to characterize the viscoelastic material. The third order truncated Volterra series model has better results, compared with those of the second order truncated Volterra series model.

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An Experimental Equation on the Fatigue Crack Growth Rate Behavior (피로 균열 전파 거동에 대한 실험식)

  • Kim, Sang-Chul;Kang, Dong-Myeong;Woo, Chang-Gi
    • Journal of the Korean Society for Precision Engineering
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    • v.8 no.2
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    • pp.27-35
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    • 1991
  • We propose the crack growth rate equation which applied over three regions (threshold region, stable region, unstable region) of fatigue crack propagation. Constant stress amplitude fatigue tests are conducted for four materials under three stress ratios of R=0.05, R=0.2 and R=0.4. Materials which have different mechanical properties i.e. stainless steel, low carbon steel, medium carbon steel and aluminum alloy are used. The fatigue crack growth rate equation is given by $da/dN={\beta} (1-R)^{\delta}\({\DELTA}K-{\DELTA}K_t)^{\alpha} / (K_{cf}-K_{max})$${\alpha}, {\beta}$ , and ${\delta}$ are constants, and ${\Delta}K_t$ is stress intensity factor range at low ${\Delta}K$ region. The constants are obtained from nonlinear least square method. $K_{ef}$is critical fatigue stress intensity factor. The relation between half crack length and number of cycles obtained by integrating the crack growth rate equation is in agreement with the experimental data. It is also experimented with constant maximum stress and decreasing stress ratios, and the fatigue growth rate of each material is in accord with the proposed equation.

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Analysis of Plastic Hinge of Pile-Bent Structure with Varying Pile Diameters (단일형 현장타설말뚝의 소성힌지를 고려한 최적설계법 제안)

  • Ahn, Sang-Yong;Jeong, Sang-Seom;Kim, Jae-Young
    • Proceedings of the Korean Geotechical Society Conference
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    • 2010.09a
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    • pp.349-356
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    • 2010
  • In this study, a new design method of pile bent structure considering plastic hinge was proposed on the basis of the beam-column model. Based on the analysis results, it is found that the positioning of plastic hinge on the pile bent structure was influenced by nonlinear behavior of material and p-$\Delta$ effect. Moreover, concrete cracking began to occur at the joint section between the pile and column in case of pile bent structure with different cross-sections. The plastic hinge can be developed on the pile bent structure when large displacement was occurred, and pile bent structures can be maintained well only if it is developed on the column part. Therefore, in this study, the optimized cross-section ratio between column and pile was analyzed to induce the plastic hinge at the joint section between the pile and column. Based on this, the optimized diameter ratio of pile and column can be obtained below the inflection point of the bi-linear curve depending on the relations between column-pile diameter ratio($D_c/D_p$) and normalized lateral cracking load ratio($F/F_{Dc=Dp}$). And through this study, it is founded that in-depth limit($L_{As}$=0.4%) normalized by the pile length($L_P$) are proportionally decreased as the pile length($L_P/D_P$) increases up to $L_P/D_P$=17.5, and beyond that in-depth limit converges to a constant value. Finally, it is found that the proposed limit depth by taking into account the minimum concrete-steel ratio would be more economical design of the pile bent structure.

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The Electrical Properties and Stability of $Pr_6$$O_{11}$-Based ZnO Varistors Doped with $Dy_2$$O_3$ ($Dy_2$$O_3$가 첨가된 $Pr_6$$O_{11}$계 ZnO 바리스터의 전기적 성질 및 안정성)

  • 남춘우;윤한수
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.13 no.5
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    • pp.402-410
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    • 2000
  • The electrical properties and stability of Pr$_{6}$/O$_{11}$-based ZnO wvaristors consisting of ZnO-Pr$_{6}$/O$_{11}$-CoO-Dy$_{2}$/O$_{3}$ based ceramics were investigated in the Dy$_{2}$/O$_{3}$ additive content range o 0.0 to 2.0 mol%. The density was nearly constant 5.62 g/cm$^3$corresponding to 97% of theoretical density as Dy$_{2}$/O$_{3}$ additive content increases up to 0.5 mol%. However the density decreased as Dy$_{2}$/O sub 3/ additive content is further additive content. Pr$_{6}$/O$_{11}$-based ZnO varistors doped with 0.5mol% Dy$_{2}$/O$_{3}$ exhibited a good nonlinearity, which is 37.76 in the nonlinear exponent and 5.36 $mutextrm{A}$ in the leakage current. And they exhibited very stress (0.80 V$_{1mA}$/9$0^{\circ}C$/12h)+(0.85 V$_{1mA}$/115$^{\circ}C$/12h)+(0.95 V$_{1mA}$/1$25^{\circ}C$/12h). Consequently it was estimated that ZnO-0.5 mol% Pr$_{6}$/O$_{11}$-1.0 mol% CoO-0.5 mol% Dy$_{2}$/O$_{3}$ based ceramics will be sufficiently used as a basic composition to develop the advanced Pr$_{6}$/O$_{11}$-based ZnO varistors in the future.he future.uture.he future.

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FEA Simulations and Tests of Rubber Insulator for Truck Suspension

  • Hur, Shin;Woo, Chang Su
    • Elastomers and Composites
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    • v.52 no.4
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    • pp.303-308
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    • 2017
  • In this study, finite element modeling and material property tests are performed for the finite element analysis of rubber isolator parts which support the engine and isolate the vibration. As a result of the P direction analysis of the rubber isolator parts, the static stiffness in the P direction was 44.2 kg/mm, which is well within the error of 5% as compared with the test result of 46.1 kg/mm. The static stiffness of the rubber isolator parts in the Q direction was calculated to be 7.9 kg/mm, which is comparable to the test result of 8.6 kg/mm, with an error of less than 8%. As a result of the analysis on the Z direction, the static stiffness was calculated as 57.7 kg/mm, and the test results were not available. Through this study, it is expected that the time and cost for prototype development can be reduced through nonlinear finite element analysis for rubber isolator parts.

A Nonlinear Finite Element Analysis to Study the Flexural Behavior of Reinforced Concrete Walls (철근콘크리트 벽체의 휨거동에 관한 비선형 유한요소해석)

  • Han Min Ki;Park Wan Shin;Han Byung Chan;Hwang Sun Kyoung;Choi Chang Sik;Yun Hyun Do
    • Proceedings of the Korea Concrete Institute Conference
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    • 2004.05a
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    • pp.520-523
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    • 2004
  • The finite element method(FEM) models were developed for the reinforced concrete flexural walls and analysed under constant axial and monotonic lateral load using ABAQUS. The major objective of the present study is to determine if the ABAQUS finite element program can be used to accurately model the post-cracked mode of failure in plastic regions of walls, and, if so, to develop practical failure criteria in the plastic range of the material response. The research comprises constitutive models to represent behavior of the materials that compose a wall on the basis of experimental data, development of techniques that are appropriate for analysis of reinforced concrete structures, verification, and calibration of the global model for reinforced concrete walls of increasing complexity. Results from the analyses of these FEM models offers significant insight into the flexural behavior of benchmark data.

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A Nonlinear Finite Element Analysis to Reinforced Concrete Frame Retrofitted with Cast-In Plate Infilled Shear Wall (현장끼움벽으로 보강된 철근콘크리트 골조의 비선형 유한요소해석)

  • Han Min Ki;Lee Hye Yeon;Kim Hyo Jin;Lee Kab Weon;Choi Chang Sik;Yun Hyun Do
    • Proceedings of the Korea Concrete Institute Conference
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    • 2005.11a
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    • pp.73-76
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    • 2005
  • This paper discussed finite element method(FEM) models of the reinforced concrete frame retrofitted with cast-in plate infilled shear wall and analysed under constant axial and monotonic lateral load using ABAQUS. Detailed finite element models are created by studying the monotonic load response of the designed connection of reinforced concrete frame and cast-in plate infilled shear wall. The developed models account for the effect of material inelasticity, concrete cracking, geometric nonlinearity and bond-slip of steel, frame and infilled shear wall. In order to verify the proposed FEM, this study behaved analysis considered a diagonal reinforced steel. The analytical results compared with the experimental results.

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Design Optimization of Superconducting Magnet for Maximum Energy Storage (초전도 전자석의 저장에너지 최대화를 위한 최적설계)

  • Kim, Chang-Wook;Lee, Hyang-Beom;Park, Il-Han
    • Proceedings of the KIEE Conference
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    • 1999.07a
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    • pp.253-255
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    • 1999
  • In this paper, a shape optimization algorithm of superconducting magnet using finite element method is presented. Since the superconductor loses its superconductivity over the critical magnetic field and critical current density, this material property should be taken into account in the design process. Trial and error approach of repeating the change of the design variables costs much time and it sometimes does not guarantee an optimal design. This paper presents a systematic and efficient design algorithm for the superconducting magnet. We employ the sensitivity analysis based on finite element formulation. As for optimization algorithm, the inequality constraint for the superconducting state is removed by modifying the objective function and the nonlinear equality constraint of constant volume is satisfied by the gradient projection method. This design algorithm is applied to an optimal design problem of a solenoid air-cored superconducting magnet that has a design objective of the maximum energy storage.

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