• Title/Summary/Keyword: Dynamic Elasticity

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Nonlocal geometrically nonlinear dynamic analysis of nanobeam using a meshless method

  • Ghadiri Rad, Mohammad Hossein;Shahabian, Farzad;Hosseini, Seyed Mahmoud
    • Steel and Composite Structures
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    • v.32 no.3
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    • pp.293-304
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    • 2019
  • In the present paper, the element free Galerkin (EFG) method is developed for geometrically nonlinear analysis of deep beams considering small scale effect. To interpret the behavior of structure at the nano scale, the higher-order gradient elasticity nonlocal theory is taken into account. The radial point interpolation method with high order of continuity is used to construct the shape functions. The nonlinear equation of motion is derived using the principle of the minimization of total potential energy based on total Lagrangian approach. The Newmark method with the small time steps is used to solve the time dependent equations. At each time step, the iterative Newton-Raphson technique is applied to minimize the residential forces caused by the nonlinearity of the equations. The effects of nonlocal parameter and aspect ratio on stiffness and dynamic parameters are discussed by numerical examples. This paper furnishes a ground to develop the EFG method for large deformation analysis of structures considering small scale effects.

A numerical and computer simulation for dynamic stability analysis of 3-unknown graded porous nanoplates using a Chebyshev-Ritz-Bolotin method

  • Wei, Dong
    • Structural Engineering and Mechanics
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    • v.78 no.4
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    • pp.379-386
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    • 2021
  • A numerical and computer simulation for dynamic stability analysis of graded porous nanoplates has been provided using a Chebyshev-Ritz-Bolotin approach. The nanoplate has been formulated according to the nonlocal elasticity and a 3-unkown plate model capturing neutral surface location. All of material properties are assumed to be dependent of porosity factor which determines the amount or volume of pores. The nano-size plate has also been assumed to be under temperature and moisture variation. It will be shown that stability boundaries of the nanoplate are dependent on static and dynamical load factors, porosity factor, temperature variation and nonlocal parameter.

Numerical assessment of nonlocal dynamic stability of graded porous beams in thermal environment rested on elastic foundation

  • Al-Toki, Mouayed H.Z.;Ali, Hayder A.K.;Faleh, Nadhim M.;Fenjan, Raad M.
    • Geomechanics and Engineering
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    • v.28 no.5
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    • pp.455-461
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    • 2022
  • Numerical assessment of the dynamic stability behavior of nonlocal beams rested on elastic foundation has been provided in the present research. The beam is made of fucntional graded (FG) porous material and is exposed to thermal and humid environments. It is also consiered that the beam is subjected to axial periodic mechanical load which especific exitation frequency leading to its instability behavior. Beam modeling has been performed via a two-variable theory developed for thick beams. Then, nonlocal elasticity has been used to establish the governing equation which are solved via Chebyshev-Ritz-Bolotin method. Temperature and moisture variation showed notable effects on stability boundaries of the beam. Also, the stability boundaries are affected by the amount of porosities inside the material.

Evaluation of Modulus of Elasticity of Wood Exposed to Accelerated Weathering Test by Measuring Ultrasonic Transmission Time (촉진 열화 목재의 초음파 전달 시간 측정을 통한 탄성 계수의 평가)

  • Park, Chun-Young;Kim, Gwang-Chul
    • Journal of the Korean Wood Science and Technology
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    • v.42 no.3
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    • pp.275-281
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    • 2014
  • In this study, accelerated weathering test was performed with wood, a major material for wooden cultural building. In order to evaluate the deterioration of wood, ultrasonic transmission times were measured to evaluate dynamic modulus of elasticity (MOE), which was verified by determining static MOE using three-point bending test. Ultrasonic transmission time was decreased with an increase in the weathering time levels (0, 500, 1000 hours) while it increased in 1500 and 2000 hours. Distribution of dynamic and static MOE was similar to that of the ultrasonic transmission time measurements. The results mean that the measurement of ultrasonic transmission time was very effective to evaluate MOE of wooden cultural buildings for their preservation and management. This method could be utilized to assess wooden cultural buildings as a way of preserving them in a scientific manner.

Nondestructive Bending Strength Evaluation of Woodceramics Made from Woody Part of Broussonetia kazinoki Sieb. -Effect of Carbonization Temperature- (닥나무의 목질부로 만든 우드세라믹의 비파괴휨강도평가 -소성온도의 영향-)

  • Byeon, Hee-Seop;Won, Kyung-Rok;Lee, Ho-Young;Oh, Seung-Won
    • Journal of agriculture & life science
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    • v.46 no.1
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    • pp.35-41
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    • 2012
  • Nondestructive evaluation (NDE) technique method using a resonance frequency mode was carried out for woodceramics made by different carbonizing temperature (600, 800, 1000, $1200^{\circ}C$) for Broussonetia kazinoki Sieb. Dynamic modulus of elasticity increased with increasing carbonizing temperature. There was a close relationship of dynamic modulus of elasticity and static bending modulus of elasticity to MOR. Therefore, the dynamic modulus of elasticity using resonance frequency mode is useful as a nondestructive evaluation method for predicting the MOR of woodceramics made by different carbonizing temperature for B. kazinoki Sieb.

Labor Union and Labor Demand Elasticity: An Empirical Study on Unionized and Nonunionized Firms (노동조합과 노동수요탄력성: 노조기업과 비노조기업에 대한 실증분석)

  • Nam, Sung Il
    • Journal of Labour Economics
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    • v.34 no.3
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    • pp.1-28
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    • 2011
  • This paper empirically tests the theory that labor demand elasticity of unionized firms would be smaller than that of nonunionized firms, using the Korean firms' panel data for 1990-2009. The major findings are the following: First, the estimates of labor demand elasticity of unionized firms are in the range of 0.34-0.49, less than a half of those of nonunionized firms, hence supporting the theory. Second, the unionized firms are more rigid in dynamic adjustment of employment than nonunionized firms. Finally, there are no significant differences between unionized and nonunionized firms in the elasticity of substitution.

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Changes in Flexibility and Muscle Elasticity according to the Self-Stretching Method of the Hamstring Muscle (뒤넙다리근의 자가 신장운동 방법에 따른 유연성과 근탄성의 변화)

  • So-Ra Park;Hyo-Lyun Roh
    • Journal of the Korean Society of Physical Medicine
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    • v.18 no.4
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    • pp.77-87
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    • 2023
  • PURPOSE: The purpose of this study was to investigate the changes in the flexibility and elasticity of the muscles when the hamstrings were stretched in one direction and when they were stretched in three directions. METHODS: In this study the subjects were divided into two groups, namely the 'one-direction stretching exercise of the hamstring muscle in the neutral position' group (female: 14 people, male: 14 people) and the 'three-way stretching exercise' group (female: 12 people, male: 14 people) considering the positions of the three hamstring muscles. The elasticity and flexibility of the hamstring muscles were measured before and after the self-extension exercise, and the average value of two measurements was noted. To evaluate the flexibility of the hamstring muscle, a 'sit and reach' test was performed, and muscle elasticity was measured using the MyotonPRO® device. RESULTS: After the stretching exercise, flexibility increased in both groups. In terms of muscle elasticity, the body dynamic strength and resonance frequency of the stretching one-direction stretching group decreased after the stretching exercise. CONCLUSION: To alter the muscle characteristics and increase the flexibility when performing a stretching exercise, selecting and stretching only one muscle with the lowest range of motion yields effective results. The ideal technique to be employed appears to be to stretch the entire hamstring muscle in one direction from the neutral position.

Relationship between Compressive Strength and Dynamic Modulus of Elasticity in the Cement Based Solid Product for Consolidating Disposal of Medium-Low Level Radioactive Waste (중·저준위 방사성 폐기물 처리용 시멘트 고화체의 압축강도와 동탄성계수의 관계)

  • Kim, Jin-Man;Jeong, Ji-Yong;Choi, Ji-Ho;Shin, Sang-Chul
    • Journal of the Korea Concrete Institute
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    • v.25 no.3
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    • pp.321-329
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    • 2013
  • Recently, the medium-low level radioactive waste from nuclear power plant must be transported from temporary storage to the final repository. Medium-low level radioactive waste, which is composed mainly of the liquid ion exchange resin, has been consolidated with cementitious material in the plastic or iron container. Since cementitious material is brittle, it would generate cracks by impact load during transportation, signifying leakage of radioactive ray. In order to design the safety transporting equipment, there is a need to check the compressive strength of the current waste. However, because it is impossible to measure strength by direct method due to leakage of radioactive ray, we will estimate the strength indirectly by the dynamic modulus of elasticity. Therefore, it must be identified the relationship between of strength and dynamic modulus of elasticity. According to the waste acceptance criteria, the compressive strength of cement based solid is defined as more than 3.44 MPa (500 psi). Compressive strength of the present solid is likely to be significantly higher than this baseline because of continuous hydration of cement during long period. On this background, we have tried to produce the specimens of the 28 day's compressive strength of 3 to 30 MPa having the same material composition as the solid product for the medium-low level radioactive waste, and analyze the relationship between the strength and the dynamic modulus of elasticity. By controling the addition rates of AE agent, we made the mixture containing the ion exchange resin and showing the target compressive strength (3~30 MPa). The dynamic modulus of elasticity of this mixtures is 4.1~10.2 GPa, about 20 GPa lower in the equivalent compressive strength level than that of ordinary concrete, and increasing the discrepancy according to increase strength. The compressive strength and the dynamic modulus of elasticity show the liner relationship.

Dynamic Magneto-mechanical Behavior of an Iron-nickel-based Ferromagnetic Alloy with Constant Elasticity

  • Bian, Leixiang;Wen, Yumei;Li, Ping;Gao, Qiuling;Liu, Xianxue
    • Journal of Magnetics
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    • v.14 no.2
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    • pp.66-70
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    • 2009
  • The dynamic magneto-mechanical behaviors in a type of iron-nickel-based ferromagnetic alloy with constant elasticity were investigated as a function of both the DC bias magnetic field ($H_{dc}$) and the frequency. The rectangular plate-like samples were excited to vibrate at a half-wavelength, longitudinal resonance by an AC magnetic field superimposed with various $H_{dc}$. The experimental results found that the strain coefficient at resonance reached 819.34 nm/A and the effective mechanical quality factor ($Q_m$) was greater than 2000. The ratio of the maximum variation of the Young's modulus over $H_{dc}$ to the value of the Young's modulus at a zero bias field was only ${\sim}0.83%o$ because of the so-called constant elasticity. The resonant strain coefficients and $Q_m$ are strongly dependent on $H_{dc}$, which indicates a promising potential for use in DC and quasistatic magnetic field sensing.

An Efficient Method for Interactive Cloth Simulation (효율적인 대화형 천 시뮬레이션 기법)

  • Jeong Dae Hyun;Kim Ku Jin;Baek Nakhoon;Ryu Kwan Woo
    • The KIPS Transactions:PartA
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    • v.12A no.4 s.94
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    • pp.321-326
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    • 2005
  • We present an interactive cloth simulation method based on the mass-spring model, which is the most widely used one in the field of cloth animation. We focus especially on the case where relatively strong forces are applied on relatively small number of mass-points. Through distributing the forces on some specific points to the overall mass-points, our method simulates the cloth in pseudo-real time. Given a deformed cloth, we start from resolving the super-elasticity effect using Provot's dynamic inverse method [9]. In the next stage, we adjust the angles between neighboring mass-points, to finally remove the unexpected zigzags due to the previous super-elasticity resolving stage.