• Title/Summary/Keyword: Factor elasticity

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Complex modes in damped sandwich beams using beam and elasticity theories

  • Ahmad, Naveed;Kapania, Rakesh K.
    • Advances in aircraft and spacecraft science
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    • v.2 no.1
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    • pp.57-76
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    • 2015
  • We investigated complex damped modes in beams in the presence of a viscoelastic layer sandwiched between two elastic layers. The problem was solved using two approaches, (1) Rayleigh beam theory and analyzed using the Ritz method, and (2) by using 2D plane stress elasticity based finite-element method. The damping in the layers was modeled using the complex modulus. Simply-supported, cantilever, and viscously supported boundary conditions were considered in this study. Simple trigonometric functions were used as admissible functions in the Ritz method. The key idea behind sandwich structure is to increase damping in a beam as affected by the presence of a highly-damped core layer vibrating mainly in shear. Different assumptions are utilized in the literature, to model shear deformation in the core layer. In this manuscript, we used FEM without any kinematic assumptions for the transverse shear in both the core and elastic layers. Moreover, numerical examples were studied, where the base and constraining layers were also damped. The loss factor was calculated by modal strain energy method, and by solving a complex eigenvalue problem. The efficiency of the modal strain energy method was tested for different loss factors in the core layer. Complex mode shapes of the beam were also examined in the study, and a comparison was made between viscoelastically and viscously damped structures. The numerical results were compared with those available in the literature, and the results were found to be satisfactory.

Wage and Productivity (임금과 생산성)

  • Park, Ki Seong;Ahn, Joyup
    • Journal of Labour Economics
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    • v.27 no.1
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    • pp.165-179
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    • 2004
  • While they compare the growth rate of wage with that of average labor productivity, we compare it with the growth rate of marginal labor productivity. After estimating the elasticity of substitution and technology level, we estimate the marginal labor productivity. Wages and marginal labor productivities are similar over 1963-2000. However, while wages come short of marginal labor productivities over 1963-1986, they exceed marginal labor productivities over 1987-2000. Although the growth rate of wage is not so different from that of marginal labor productivity, it can be disparate from that of average labor productivity. Therefore the former exceeding the latter does not mean the excessive wage growth off the labor demand curve.

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Frictionless contact problem for a layer on an elastic half plane loaded by means of two dissimilar rigid punches

  • Ozsahin, Talat Sukru
    • Structural Engineering and Mechanics
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    • v.25 no.4
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    • pp.383-403
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    • 2007
  • The contact problem for an elastic layer resting on an elastic half plane is considered according to the theory of elasticity with integral transformation technique. External loads P and Q are transmitted to the layer by means of two dissimilar rigid flat punches. Widths of punches are different and the thickness of the layer is h. All surfaces are frictionless and it is assumed that the layer is subjected to uniform vertical body force due to effect of gravity. The contact along the interface between elastic layer and half plane will be continuous, if the value of load factor, ${\lambda}$, is less than a critical value, ${\lambda}_{cr}$. However, if tensile tractions are not allowed on the interface, for ${\lambda}$ > ${\lambda}_{cr}$ the layer separates from the interface along a certain finite region. First the continuous contact problem is reduced to singular integral equations and solved numerically using appropriate Gauss-Chebyshev integration formulas. Initial separation loads, ${\lambda}_{cr}$, initial separation points, $x_{cr}$, are determined. Also the required distance between the punches to avoid any separation between the punches and the layer is studied and the limit distance between punches that ends interaction of punches, is investigated. Then discontinuous contact problem is formulated in terms of singular integral equations. The numerical results for initial and end points of the separation region, displacements of the region and the contact stress distribution along the interface between elastic layer and half plane is determined for various dimensionless quantities.

A size-dependent quasi-3D model for wave dispersion analysis of FG nanoplates

  • Karami, Behrouz;Janghorban, Maziar;Shahsavari, Davood;Tounsi, Abdelouahed
    • Steel and Composite Structures
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    • v.28 no.1
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    • pp.99-110
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    • 2018
  • In this paper, a new size-dependent quasi-3D plate theory is presented for wave dispersion analysis of functionally graded nanoplates while resting on an elastic foundation and under the hygrothermaal environment. This quasi-3D plate theory considers both thickness stretching influences and shear deformation with the variations of displacements in the thickness direction as a parabolic function. Moreover, the stress-free boundary conditions on both sides of the plate are satisfied without using a shear correction factor. This theory includes five independent unknowns with results in only five governing equations. Size effects are obtained via a higher-order nonlocal strain gradient theory of elasticity. A variational approach is adopted to owning the governing equations employing Hamilton's principle. Solving analytically via Fourier series, these equations gives wave frequencies and phase velocities as a function of wave numbers. The validity of the present results is examined by comparing them with those of the known data in the literature. Parametric studies are conducted for material composition, size dependency, two parametric elastic foundation, temperature and moisture differences, and wave number. Some conclusions are drawn from the parametric studies with respect to the wave characteristics.

A nonlocal quasi-3D trigonometric plate model for free vibration behaviour of micro/nanoscale plates

  • Bessaim, Aicha;Houari, Mohammed Sid Ahmed;Bernard, Fabrice;Tounsi, Abdelouahed
    • Structural Engineering and Mechanics
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    • v.56 no.2
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    • pp.223-240
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    • 2015
  • In this work, a nonlocal quasi-3D trigonometric plate theory for micro/nanoscale plates is proposed. In order to introduce the size influences, the Eringen's nonlocal elasticity theory is utilized. In addition, the theory considers both shear deformation and thickness stretching effects by a trigonometric variation of all displacements within the thickness, and respects the stress-free boundary conditions on the top and bottom surfaces of the plate without considering the shear correction factor. The advantage of this theory is that, in addition to considering the small scale and thickness stretching effects (${\varepsilon}_z{\neq}0$), the displacement field is modelled with only 5 unknowns as the first order shear deformation theory (FSDT). Analytical solutions for vibration of simply supported micro/nanoscale plates are illustrated, and the computed results are compared with the available solutions in the literature and finite element model using ABAQUS software package. The influences of the nonlocal parameter, shear deformation and thickness stretching on the vibration behaviors of the micro/nanoscale plates are examined.

The impact of Academic Resilience of Chinese Students Participating in Sports on their Adaptation to College Life

  • Haolong Xu;Sunmun Park
    • International Journal of Advanced Culture Technology
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    • v.12 no.2
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    • pp.427-437
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    • 2024
  • The purpose of this study is to determine the impact of Chinese international students' academic resilience on acculturation stress and college life adjustment. In order to achieve this research objective, the research subjects were Chinese students participating in sports in Korea. The sampling method was convenience sampling, and a total of 300 people, 150 men and 150 women, were selected as research subjects through sharing the questionnaire link online and email. The research tool used in this study was a questionnaire. Based on the questionnaire that had secured reliability and validity in previous research, it was modified and supplemented to suit this study. The statistical analysis used for data analysis was frequency analysis, exploratory factor analysis, reliability analysis, and multiple regression analysis using SPSS Windows 22.0 Version. The conclusions obtained in this study through data analysis according to these methods and procedures are as follows. First, the academic elasticity of Chinese students participating in sports has partially influenced by cultural adaptation stress. Second, the academic elasticity of Chinese students participating in sports has partially influenced by university life. Third, the acculturation stress of Chinese students participating in sports was found to partially affect their adaptation to university life.

An Experimental Study on the Thermal Properties of High Strength Concrete in the Range of $40{\sim}100MPa$ at High Temperature (고온시 $40{\sim}100MPa$ 범위의 콘크리트 열적특성에 관한 실험적 연구)

  • Kim, Heung-Youl;Jeon, Hyun-Kyu
    • Proceedings of the Korea Concrete Institute Conference
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    • 2006.11a
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    • pp.425-428
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    • 2006
  • In order to estimate the reduction of laodbearing capacity, followed by the attributive change of heat while high strength concrete structure is revealed on fire it is necessary to evaluate, it is necessary to evaluate the property of material under high temperature such as thermal conductivity, specific heat, compressive strength, modulus of rigidity and diminution figure. Therefore, this study is for the purpose of presenting evaluation data for the analysis of thermal behavior about the high strength concrete material under high temperature, through the experiment by manufacturing concrete(40, 50, 60, 80, 100 MPa) commonly used in the construction field. As a result of the study, in the case of physical attribute, it demonstrates a greater fluctuation of change than the one of 30 MPa concrete. In case of specific heat, the high strength concrete, shown the serious diminution between $500{\sim}600^{\circ}C$, presents the thermal change area corresponding to the change of high strength concrete. In compressive strength, regardless of intensity of concrete, all of them show the first intensity loss between normal temperature and $100^{\circ}C$, the dramatic loss beyond $400^{\circ}C$. The concrete weighing above 50 MPa shows a twice lower dramatic intensity loss than the one weighing $30{\sim}40MPa$. The concrete ranging from $60{\sim}80MPa$, shows the biggest diminution of modulus of elasticity under $400^{\circ}C$, which implies the structural unstability of temperature.

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A modified shear strength reduction finite element method for soil slope under wetting-drying cycles

  • Tu, Yiliang;Zhong, Zuliang;Luo, Weikun;Liu, Xinrong;Wang, Sui
    • Geomechanics and Engineering
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    • v.11 no.6
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    • pp.739-756
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    • 2016
  • The shear strength reduction finite element method (SSRFEM) is a powerful tool for slope stability analysis. The factor of safety (FOS) of the slope can be easily calculated only through reducing effective cohesion (c′) and tangent of effective friction angle ($tan{\varphi}^{\prime}$) in equal proportion. However, this method may not be applicable to soil slope under wetting-drying cycles (WDCs), because the influence of WDCs on c′ and $tan{\varphi}^{\prime}$ may be different. To research the method of estimating FOS of soil slopes under WDCs, this paper presents an experimental study firstly to investigate the effects of WDCs on the parameters of shear strength and stiffness. Twelve silty clay samples were subjected to different number of WDCs and then tested with triaxial test equipment. The test results show that WDCs have a degradation effect on shear strength (${\sigma}_1-{\sigma}_3)_f$, secant modulus of elasticity ($E_s$) and c′ while little influence on ${\varphi}^{\prime}$. Hence, conventional SSRFEM which reduces c′ and $tan{\varphi}^{\prime}$ in equal proportion cannot be adopted to compute the FOS of slope under conditions of WDCs. The SSRFEM should be modified. In detail, c′ is merely reduced among shear strength parameters, and elasticity modulus is reduced correspondingly. Besides, a new approach based on sudden substantial changes in the displacement of marked nodes is proposed to identify the slope failure in SSRFEM. Finally, the modified SSRFEM is applied to compute the FOS of a slope example.

Contrast Improvement in Diagnostic Ultrasound Strain Imaging Using Globally Uniform Stretching (진단용 초음파 변형률 영상에서 전역 균일 신장에 의한 콘트라스트 향상)

  • Kwon, Sung-Jae;Jeong, Mok-Kun
    • The Journal of the Acoustical Society of Korea
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    • v.29 no.8
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    • pp.504-508
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    • 2010
  • In conventional diagnostic ultrasound strain imaging, when displaying strain image on a monitor, human visual characteristics are utilized such that hard regions are displayed as dark and soft regions are displayed as bright. Thus, hard regions representing tumor or cancer are displayed as dark, decreasing the contrast inside the lesion. Because the lesion area is stiff and thus displayed as dark, a method of inverting the image brightness and thereby increasing the contrast in the lesion for better diagnostic purposes is proposed wherein a postcompression signal is extended in the time domain by a factor corresponding to the reciprocal of the amount of the applied compression using a technique termed globally uniform stretching. Experiments were carried out to verify the proposed method on an ultrasound elasticity phantom with radio-frequency data acquired from a diagnostic ultrasound clinical scanner. It is found that the new method improves the contrast-to-noise ratio by a factor of up to about 1.8 compared to a conventional strain imaging method that employs a reversed gray color map without globally uniform stretching.

Influences of hygrothermal environment and fiber orientation on shear correction factor in orthotropic composite beams

  • Soumia Benguediab;Fatima Zohra Kettaf;Mohammed Sehoul;Fouad Bourada;Abdelouahed Tounsi;Mohamed Benguediab
    • Coupled systems mechanics
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    • v.12 no.2
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    • pp.151-165
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    • 2023
  • In this study, a simple method for the determination of the shear correction factor for composites beam with a rectangular cross section is presented. The plane stress elasticity assumption is used after simplifications of the expression of the stress distribution in the beam. The different fiber orientation angle and volume fraction are considered in this work. The studied structure is subjected to various loading type (thermal and hygrothermal). The numerical results obtained show that there is a dependence of the shear coefficient on the orientation of the fibers. The evolution of the shear correction factors depends not only on the orientation of the fibers and also on the volume fraction and the environment. the advantage of this developed formula of the shear correction factor is to obtain more precise results and to consider several parameters influencing this factor which are neglected if the latter is constant.