• Title/Summary/Keyword: linearity analysis

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Dynamic Modeling and Analysis for an Axially moving String (축방향 이송속도를 갖는 현의 모델링 및 진동해석)

  • 신창호;정진태;한창수
    • Journal of KSNVE
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    • v.10 no.5
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    • pp.838-842
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    • 2000
  • The vibration of an axially moving string is studied when the string has geometric non-linearity and translating acceleration. Based upon the von karman strain theory, the equations of motion are derived considering the longitudinal and transverse deflection. The equation for the longitudinal vibration is linear and uncoupled, while the equation for the transverse vibration is non-linear and coupled between the longitudinal and transverse deflections. These equations are discretized by using the Galerkin approximation after they are transformed into the variational equations, i.e. the weak forms so that the admissible and comparison functions can be used for the bases of the longitudinal and transverse deflections respectively. With the discretized nonlinear equations, the time responses are investigated by using the generalized-$\alpha$ method.

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Development of a Chloroform Reference Material for the Proficiency Testing of Hazardous Compounds in Commercial Consumer Chemical Products Under the Consumer Chemical Products and Biocide Safety Management Act (K-BPR)

  • Lee, Sang Tak;Lee, Jae-ung;Kim, Joo-Hyon;Oh, Han Bin
    • Mass Spectrometry Letters
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    • v.10 no.4
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    • pp.112-116
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    • 2019
  • In this study, a chloroform consumer chemical product (CCP) reference material (RM) is successfully developed, with potential to be used in the proficiency testing of hazardous compounds in CCPs for analysis and testing agencies. Validation experiments are rigorously conducted to evaluate whether the RM meets the requirements set by the ISO 13528 and ISO Guide 35, using a reliable GC/MS method for the analysis of chloroform. The obtained calibration plot linearity, limit of detection (LOD), and limit of quantitation (LOQ) are excellent. The developed RM meets the homogeneity and stability requirements; the between-unit (sbb) and within-unit (swb) standard deviations are less than 2.5%, and the stability is found to be guaranteed for 50 days.

Evaluation of Traffic Load and Moisture-Induced Nonlinear In-Situ Stress on Pavement Foundation Layers (도로기초에서 교통 및 환경하중에 의한 비선형 현장 응력 거동 평가)

  • Park, Seong-Wan;Hwang, Kyu-Young;An, Dong-Seok;Jeong, Mun-Kyoung;Seo, Young-Guk
    • Proceedings of the Korean Geotechical Society Conference
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    • 2009.03a
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    • pp.11-16
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    • 2009
  • Better understanding of in-situ mechanical behavior of pavement foundations is very important to predict long-term effects on the system performance of transport infrastructure. In order to do that, resilient stiffness characterization of geomaterals is needed to properly adopt such mechanistic analysis under both traffic and environmental loadings. In this paper, in situ monitoring data from KHC test road was used to analyze the non-linearity of stress conditions under traffic and moisture loadings. Then, the predicted non-linear response using finite element method with a selected constitutive model of foundation geomaterials are verified with the field data.

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Nonlinear Random Vibration Analysis of Thin Laminated Plates (얇은 적층 평판의 비선형 불규칙 진동해석)

  • Kang, Joo-Won
    • Journal of Korean Association for Spatial Structures
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    • v.1 no.1 s.1
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    • pp.109-115
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    • 2001
  • Composite materials also known as fiber reinforced plastics have been developed and used in many engineering applications due to their outstanding mechanical properties. Laminated plates as structural components that are made of in composite material are widely used. Therefore, nonlinear response of laminated composite plates modeled with finite elements and excited by stochastic loading is studied. The classical laminated plate theory is used to account for the variation of strains through the thickness for modeling laminated thin plates. Approximate nonlinear random vibration analysis is performed using the method of equivalent linearization to account for material non-linearity.

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Determining the effective width of composite beams with precast hollowcore slabs

  • El-Lobody, Ehab;Lam, Dennis
    • Structural Engineering and Mechanics
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    • v.21 no.3
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    • pp.295-313
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    • 2005
  • This paper evaluates the effective width of composite steel beams with precast hollowcore slabs numerically using the finite element method. A parametric study, carried out on 27 beams with different steel cross sections, hollowcore unit depths and spans, is presented. The effective width of the slab is predicted for both the elastic and plastic ranges. 8-node three-dimensional solid elements are used to model the composite beam components. The material non-linearity of all the components is taken into consideration. The non-linear load-slip characteristics of the headed shear stud connectors are included in the analysis. The moment-deflection behaviour of the composite beams, the ultimate moment capacity and the modes of failure are also presented. Finally, the ultimate moment capacity of the beams evaluated using the present FE analysis was compared with the results calculated using the rigid - plastic method.

Analysis of The Generating Torque Characteristics of 2-Phase lnduction Motor in Phase Control. (이상유도전동기의 립상제어시 발생토오크에 대한 해석)

  • 원종수;장도현
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.37 no.5
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    • pp.289-297
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    • 1988
  • In this paper, the analysis of a generating torque characteristics of 2-phase induction motor driven with the phase control method is presented. The generating torque equations which represent average torque and pulsating torque are derived from the elementary machine model. The calculating equations which can get the values of average torque and pulsating torque is expressed by the parameters of the equivalent circuit of 2-phase induction motor. According to the calculating equations, these performance characteristics are investigated under various conditions. Finally, a strategy to eliminate non-linearity and pulsating torque generated in driving 2-phase induction motor with the phase control method is presented.

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The Elasto-Plastic Buckling Analysis of Ball-jointed Sing1e Layer Latticed Domes Considering the Connection Characteristics (접합부의 성질을 고려한 볼 접합 단층 래티스 돔의 탄소성 좌굴해석)

  • 한상을;권현재;신용환;배상달;이진섭
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2000.10a
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    • pp.90-100
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    • 2000
  • The present paper investigates the elasto-plastic buckling of ball-jointed single layer latticed domes considering the connection characteristics. The domes are composed of tubular member elements, ball joints and connectors. To judge yielding of the member, the ends and central part of tubular member elements are assumed as five elasto-plastic springs. Elasto-plastic buckling load can be identified the yielding load of estimated member As a numerical analysis technique, loading incremental method based on the Newton-Raphson method is used. The effects of connection characteristics are investigated by the following points; (1) the length of rigid zone, (2) looseness of screw, (3) diameter of connector Finally, it is emphasized that the connection characteristics as well as the material non-linearity have significant effects upon the buckling toad of domes.

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Dynamic Analysis of Engine Response to Throttle Tip-in/Tip-out (Tip-in/Tip-out 시의 엔진의 동적 거동 해석)

  • Ko, Kang-Ho;Kook, Hyung-Seok
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.540-545
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    • 2001
  • In this paper dynamic responses of an engine, which is supported by hydraulic mount, to throttle tip-in/tip out are analyzed. Because the hydraulic mounts have non-linearity which the characteristics of stiffness and damping vary with frequencies, it is difficult to analyze the dynamic behavior of an engine using general integral algorithms. Convolution integrals and relationships between unit impulse response functions and frequency response functions are therefore used to simulate the transient behavior of an engine indirectly. In time domain, impulse response functions are calculated by two-side discrete inverse Fourier transform of frequency response function achieved by Laplace transform of equations of motion. Considering the fact that the shapes of behavior of an engine simulated by the proposed method are in good agreement with test results, it is confirmed that the proposed method is very effective for the analysis of transient response to throttle tip-in/out of an engine with hydraulic mounts.

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Deformation analysis of Tool and Tool holder for Micromachining by FEM (FEM을 이용한 Micromachining용 Tool 및 Tool holder의 변형해석)

  • Min, Kyung-Tak;Jang, Ho-Su
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.9 no.1
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    • pp.87-92
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    • 2010
  • Micromachining technology using a ultra-precision micromachining system is widely applied in the fields of optics, biotechnology and analytical chemistry, etc. specially in microfabrication of fresnel lens, light guide panels of TFT-LED and PDP ribs with micro-patterns, machining errors have an effect on the performance of those products. The deflection of tool and tool holder is known to be one of the very important factors that is due to machining errors in micromachining. The deflections of diamond tool and tool holder used in micro-grooving are analysed by FEM. We analysed by FEM. With an linearity valuation of FEM, deflection of tool and tool holder is calculated by using the data of cutting force which is acquired from micro-V groove machining experiments in micromachining system.

Behavior of wall panels in industrial buildings caused by differential settlements

  • Fernandez, Suyai;Jaca, Rossana C.;Godoy, Luis A.
    • Structural Engineering and Mechanics
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    • v.56 no.3
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    • pp.443-460
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    • 2015
  • This paper presents the analysis of mechanical behavior of metal wall panels of storehouses and industrial buildings subjected to differential settlements. The storehouses considered are representative of those used in the agricultural activity. A small-scale model was built and tested in order to have evidence of the behavior and to validate computational models. The numerical investigation is carried out through finite element analysis using a general-purpose software, by modeling buildings with different geometries and evaluating different settlements of the ground. To obtain an adequate model, geometric non-linearity has to be taken into account. Models that represent the most usual geometric typologies were investigated under support settlements. The deflected shape of the wall panel and the relationship between the horizontal displacements and the settlement of the foundations are evaluated. The results show that there are large out-of-plane displacements caused by settlements that would be admitted by design recommendations.