• Title/Summary/Keyword: linear elasticity

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Non-linear transverse vibrations of tensioned nanobeams using nonlocal beam theory

  • Bagdatli, Suleyman M.
    • Structural Engineering and Mechanics
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    • v.55 no.2
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    • pp.281-298
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    • 2015
  • In this study, nonlinear transverse vibrations of tensioned Euler-Bernoulli nanobeams are studied. The nonlinear equations of motion including stretching of the neutral axis and axial tension are derived using nonlocal beam theory. Forcing and damping effects are included in the equations. Equation of motion is made dimensionless via dimensionless parameters. A perturbation technique, the multiple scale methods is employed for solving the nonlinear problem. Approximate solutions are applied for the equations of motion. Natural frequencies of the nanobeams for the linear problem are found from the first equation of the perturbation series. From nonlinear term of the perturbation series appear as corrections to the linear problem. The effects of the various axial tension parameters and different nonlocal parameters as well as effects of different boundary conditions on the vibrations are determined. Nonlinear frequencies are estimated; amplitude-phase modulation figures are presented for simple-simple and clamped-clamped cases.

Linear BLDC motor design for a ultra-precision stage (초정밀 Stage용 선형 BLDC 전동기 설계)

  • Kang, Do-Hyun;Hong, Jung-Pyo;Chang, Ki-Chan;Jeon, Jung-Woo;Chun, Young-Hwan
    • Proceedings of the KIEE Conference
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    • 2000.11b
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    • pp.274-276
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    • 2000
  • Recently, the demands of the ultra-precision stage system, such as wafer stepper stages for photolithography, are increasing in the field of manufacturing and test equipment. Since the mechanical elements which convert rotational motion into translational introduce backlash and elasticity in the system, better performance of the drive could be achieved by the linear BLDC motor with appropriate servo control. The analytical design and the FEM analysis about linear BLDC motor is described in this paper. The performance of the servo-drive system will be evaluated through the comparison of results between the designed data and the measured data in the future.

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Impedance Modeling and Frequency Response of Moving-Magnet Linear Actuator Considering Mass/Spring System (질량/스프링계를 고려한 가동자석형 왕복 액추에이터의 등가임피던스 모델링 및 주파수 특성해석)

  • Jang, Seok-Myeong;Choi, Jang-Young;Cho, Han-Wook;You, Dae-Joon;Jeong, Sang-Sub
    • Proceedings of the KIEE Conference
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    • 2005.07b
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    • pp.1303-1305
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    • 2005
  • This paper deals with the impedance modeling and frequency response of moving-magnet linear actuator considering mass/spring system. By expressing mechanical components as electrical components such as impedance from the motion equation, this paper investigates not only the variation of system impedance according to system parameters such as moving mass, thrust constant, the coefficient of elasticity for spring and damping coefficient but also the variation of power vs. frequency for moving-magnet linear actuator with spring.

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Elasticity Analyses between Water Temperature and Water Quality considering Climate Change in Nak-dong River Basin (기후변화를 고려한 낙동강 유역의 수온과 수질 탄성도 분석)

  • Shon, Tae Seok;Lee, Kyu Yeol;Im, Tae Hyo;Shin, Hyun Suk
    • Journal of Korean Society on Water Environment
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    • v.27 no.6
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    • pp.830-840
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    • 2011
  • Climate change has been settled as pending issues to consider water resources and environment all over the world, however, scientific and quantitative assessment methods of climate change have never been standardized. When South Korea headed toward water deficiency nation, the study is not only required analysis of atmospheric or hydrologic factors, but also demanded analysis of correlation with water quality environment factors to gain management policies about climate change. Therefore, this study explored appropriate monthly rainfall elasticity in chosen 41 unit watersheds in Nak-dong river which is the biggest river in Korea and applied monitored discharge data in 2004 to 2009 with monthly rainfall using Thiessen method. Each unit watershed drew elasticity between water temperature and water quality factors such as BOD, COD, SS, T-N, and T-P. Moreover, this study performed non-linear correlation analysis with monitored discharge data. Based on results of analysis, this is first steps of climate change analysis using long-term monitoring to develop basic data by Nak-dong river Environmental Research Center (Ministry of Environment) and to draw quantitative results for reliable forecasting. Secondary, the results considered characteristic of air temperature and rainfall in each unit watershed so that the study has significance its various statistical applications. Finally, this study stands for developing comparable data through "The 4 major river restoration" project by Korea government before and after which cause water quality and water environment changes.

Preparation of Elastic Branched Copolyester for Toner Binder: Effects of Branching Agents (토너 바인더용 분지화된 탄성 폴리에스테르 공중합체의 합성: 분지제의 영향)

  • Roh, Hyung-Jin;Lim, Jong-Kwan;Lee, Dong-Ho;Yoon, Keun-Byoung
    • Polymer(Korea)
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    • v.36 no.4
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    • pp.440-447
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    • 2012
  • The branched copolyester was synthesized and its molecular weight, $T_g$, 1/2 method temperature ($T_{1/2}$) and rheological properties were characterized for the application of toner binder. The linear copolyester had low molecular weight and melt elasticity obtained by dimethylterephthalate (DMT), ethylene glycol (EG) and 2,2-bis(4-(2-hydroxypropoxy) phenyl)propane (HPP). The branched copolyesters prepared with various branching agents such as 2-(hydroxymethyl)-2-ethylpropane-1,3-diol (trimethylol propane, TMP), 2,2-bi(hydroxymethyl)-1,3-propanediol (pentaerythritol, PER), 1,2,4-benzenetricarboxylic anhydride (trimellitic anhydride, TMA) and glycerol to improve the physical properties of the linear copolyester. The effect of branching agents on the molecular weight and melt elasticity of the branched copolyester was examined. The branched copolyesters prepared by adding over 15 mol% of branching agent showed relatively high molecular weight and melt elasticity, and $T_{1/2}$ value of $140^{\circ}C$. Therefore, the highly branched copolyesters were deemed suitable as a hot-melt toner of laser print process.

Relation between Highway Improvement and Induced Travel Demand, and Estimate the Demand Elasticity (A Seoul Metropolitan Area Case) (도로환경개선과 집합적 개념의 유발통행수요와의 관련성 규명 및 수요탄력성 추정(수도권을 중심으로))

  • Lee, Gyu-Jin;Choe, Gi-Ju;Sim, Sang-U;Kim, Sang-Su
    • Journal of Korean Society of Transportation
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    • v.24 no.4 s.90
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    • pp.7-17
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    • 2006
  • The purpose or this paper is to investigate the relationship between highway improvement and Induced Travel Demand(ITD) focusing on the Seoul metropolitan area data. In addition, authors tried to estimate basic unit of demand elasticity focusing on zone and trip purpose which can be applied for the ITD forecasting. The results are based on the 2002 Metropolitan Household Transportation Survey Data, where the demand elasticity (DE) is -0.582 in Seoul, -0.597 in Incheon and -0.559 in Gyounggi province, respectively. This study revealed part of the relationship between highway improvement and ITD for metropolitan region and provided the framework for yielding real estimated values by applying the concept of demand elasticity in terms of the relationship by using regional and long-term data. We expect that the basic unit of demand elasticity focusing on zone and trip purpose can be applied for the ITD forecasting to analyze the whole demand exactly The estimated DE's for age group and day of week can also be used for Proper transportation management and transport Policy making. Some limitations have also been discussed.

Solids 3-D with bounded tensile strength under the action of thermal strains. Theoretical aspects and numerical procedures

  • Pimpinelli, Giovanni
    • Structural Engineering and Mechanics
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    • v.18 no.1
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    • pp.59-78
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    • 2004
  • This paper is devoted to illustrate some numerical procedures to solve the boundary equilibrium problems of three-dimensional solids that are subjected to thermal strains. The constitutive equations take into account the bounded tensile strength of the material and they are presented in the framework of non-linear elasticity and small strains. The associated equilibrium problem is solved numerically by means of the finite element method and the numerical techniques, i.e. the Newton-Raphson method and the secant method, are revised in order to assure the solution convergence of the discretized problem. Some numerical examples are illustrated.

Biaxial Deformation Behavior of Polymer Networks

  • Takigawa, Toshikazu
    • Proceedings of the Polymer Society of Korea Conference
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    • 2006.10a
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    • pp.130-131
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    • 2006
  • Real elastomers show the anomalous behavior in the Ii dependence curves of the derivatives of W with respect to Ii at small strains. The limiting values of the derivatives were evaluated by a simple model based on the assumption that W in the large deformations should coincide with that in the linear elasticity theory. The calculated values were in good agreement with the experimental ones for real elastomers.

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General nonlocal solution of the elastic half space loaded by a concentrated force P perpendicular to the boundary

  • Artan, R.
    • Structural Engineering and Mechanics
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    • v.9 no.2
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    • pp.209-214
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    • 2000
  • The main purpose of this paper is to develop the results introduced in Artan (1996) and to find a general nonlocal linear elastic solution for Boussinesq problem. The general nonlocal solution given Artan (1996) is valid only when the distance to the boundary is greater than one atomic measure. The nonlocal stress field presented in this paper is valid for the whole half plane.

An Experimental study on the Viscoelastic Coefficient of Polystyrene (폴리스티렌의 점탄성 계수에 관한 실험적 연구)

  • Yoon, Kyung-Hwan;Yu, Bong-Kun
    • Proceedings of the KSME Conference
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    • 2000.04a
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    • pp.751-754
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    • 2000
  • Stress relaxation experiments were performed to obtain the material properties to be used in the linear viscoelastic study. Master curve of the modulus of polystyrene were obtained by using the time-temperature superposition principle. Because Shyu and Tobolsky's tensile relaxation modulus master curve or Polystyrene material showed very large difference, in-house data were required to calculate the residual stresses in injection-molded products more accurately. Our own experimental data showed that the master curve Shyu's data should be shifted about two orders in material time coordinate.

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