• Title/Summary/Keyword: gradient coefficient

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Mechanical-hygro-thermal vibrations of functionally graded porous plates with nonlocal and strain gradient effects

  • Fenjan, Raad M.;Hamad, Luay Badr;Faleh, Nadhim M.
    • Advances in aircraft and spacecraft science
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    • v.7 no.2
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    • pp.169-186
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    • 2020
  • Based upon differential quadrature method (DQM) and nonlocal strain gradient theory (NSGT), mechanical-hygro-thermal vibrational analyzes of shear deformable porous functionally graded (FG) nanoplate on visco-elastic medium has been performed. The presented formulation incorporates two scale factors for examining vibrational behaviors of nano-dimension plates more accurately. The material properties for FG plate are porosity-dependent and defined employing a modified power-law form. It is supposed that the nano-size plate is exposed to hygro-thermal and variable compressive mechanical loadings. The governing equations achieved by Hamilton's principle are solved implementing DQM. Presented results indicate the prominence of moisture/temperature variation, damping factor, material gradient index, nonlocal coefficient, strain gradient coefficient and porosities on vibrational frequencies of FG nano-size plate.

Evaluation of Effect of Plastic Gradient on the Behavior of Single Grain inside Polycrystalline Solids (소성 구배의 영향을 고려한 다결정 고체 내부의 결정 거동 분석)

  • Chung, Sang-Yeop;Han, Tong-Seok
    • Journal of the Korean Society of Hazard Mitigation
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    • v.11 no.2
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    • pp.39-44
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    • 2011
  • Plastic gradient from geometrically necessary dislocation(GND) can strongly affect micro-scale plastic behavior of polycrystalline solids. In this research, mechanical behavior of polycrystalline solid is investigated using the finite element method incorporating plastic gradient from GND effect. Gradient hardness coefficient and material length parameter are used to evaluate the effect of the plastic gradient on the behavior of materials. Sensitivity of the modeling parameters on the plastic gradient from GND is presented and effects of plastic gradient and material parameters on the behavior of single crystal inside a polycrystalline aggregate are investigated. It is confirmed that the plastic gradient from GND amplifies hardening response of polycrystals and affects single crystal behavior embedded in polycrystalline solids.

Learning Behaviors of Stochastic Gradient Radial Basis Function Network Algorithms for Odor Sensing Systems

  • Kim, Nam-Yong;Byun, Hyung-Gi;Kwon, Ki-Hyeon
    • ETRI Journal
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    • v.28 no.1
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    • pp.59-66
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    • 2006
  • Learning behaviors of a radial basis function network (RBFN) using a singular value decomposition (SVD) and stochastic gradient (SG) algorithm, together named RBF-SVD-SG, for odor sensing systems are analyzed, and a fast training method is proposed. RBF input data is from a conducting polymer sensor array. It is revealed in this paper that the SG algorithm for the fine-tuning of centers and widths still shows ill-behaving learning results when a sufficiently small convergence coefficient is not used. Since the tuning of centers in RBFN plays a dominant role in the performance of RBFN odor sensing systems, our analysis is focused on the center-gradient variance of the RBFN-SVD-SG algorithm. We found analytically that the steadystate weight fluctuation and large values of a convergence coefficient can lead to an increase in variance of the center-gradient estimate. Based on this analysis, we propose to use the least mean square algorithm instead of SVD in adjusting the weight for stable steady-state weight behavior. Experimental results of the proposed algorithm have shown faster learning speed and better classification performance.

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FINITE ELEMENT SCHEME FOR THE VISCOUS CAHN-HILLIARD EQUATION WITH A NONCONSTANT GRADIENT ENERGY COEFFICIENT

  • CHOO S. M.;KIM Y. H.
    • Journal of applied mathematics & informatics
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    • v.19 no.1_2
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    • pp.385-395
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    • 2005
  • A finite element scheme is considered for the viscous Cahn-Hilliard equation with the nonconstant gradient energy coefficient. The scheme inherits energy decay property and mass conservation as for the classical solution. We obtain the corresponding error estimate using the extended Lax-Richtmyer equivalence theorem.

Effect of Plastic Gradient from GND on the Behavior of Polycrystalline Solids (GND 효과에 의한 소성 구배의 다결정 고체 거동에 대한 영향)

  • Chung, Sang-Yeop;Han, Tong-Seok
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.24 no.2
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    • pp.185-191
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    • 2011
  • Plastic gradient from geometrically necessary dislocation(GND) can affect material behavior significantly. In this research, mechanical behavior of polycrystalline solid is investigated using the finite element method incorporating plastic gradient from long range dislocation or GND effect. Plastic gradient effect is implemented in the analysis model by considering a long range strain term as well as elastic and plastic terms in the multiplicative decomposition. In the model, gradient hardness coefficient and length parameter are used to evaluate the effect of the long range strains and sensitive study is conducted for the parameters. It is confirmed that the GND amplifies hardening response of polycrystals compared with the single crystal.

Experimental Study on the Characteristics of Water Flow Through Sand Layer (모래층에서의 수류의 특성에 관한 실험적 연구)

  • 남궁달;김철기
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.17 no.3
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    • pp.3833-3839
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    • 1975
  • The object of this experiment is to find out some flow characteristics of water through sand layer, to prevent moving sands in the filters of the fill Dam, infiltration gallery, well and Deversion Weir. This experiment was accomplished with different particle Sizes of Six Samples and different hydraulic gradient. The results obtained are Summarized as follows. 1. The critical hydraulic gradients for laminar flow was found to be between 1 and 2 when the sand used had the effective diameter, D10 of between 0.18cm and 0.45cm. 2. The critical hydraulic gradients for different particle sizes of sands were varied considerably. 3. There was a negative correlation between critical hydraulic gradient and critical Velocity, and between effective particle diameter D10 and critical hydraulic gradient respectively. 4. In spite of relatively small variation of void ratio of sands used, the values of the coefficient of permeability varied considerably. There was a negative correlation between coefficient of permeability and void ratio.

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A Study on Determination of Gradient Coefficients in the New Evaluation of Collision Risk (신 충돌위험도평가의 기울기계수 결정에 관한 연구)

  • Jeong, Tae-Gweon
    • Journal of Navigation and Port Research
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    • v.27 no.4
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    • pp.351-357
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    • 2003
  • Evaluating the risk of collision quantitatively plays a key role in developing the expert system of navigation and collision avoidance. This study analysed theoretically and thoroughly how to determine the gradient coefficients as described in the new evaluation of collision risk using sech function, and suggested the appropriate values as applicable.

The effects of tripping structure on the development of turbulent boundary layer subjected to adverse pressure gradient (역압력 구배가 존재하는 난류 경계층의 발달에 트리핑 구조물이 미치는 영향에 관한 연구)

  • 임태현;김대성;윤순현
    • Proceedings of the Korean Society of Marine Engineers Conference
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    • 2001.11a
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    • pp.36-44
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    • 2001
  • The effects of various tripping structures on turbulent boundary layer subjected to adverse pressure gradient were examined. The profiles are compared to zero pressure gradient and adverse pressure gradient. The increases of tripping structures of height, k are affects almost flow parameter included velocity fluctuation, skin friction coefficient and turbulent boundary thickness.

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The Optimum Design for PSC Box Girder Bridges Considering Friction Coefficient and Material Strength (마찰계수와 재료강도를 고려한 PSC 박스 거더교의 최적설계)

  • Kim, Ki Wook
    • Journal of Korean Society of Steel Construction
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    • v.18 no.2
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    • pp.181-189
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    • 2006
  • This study analyzes the effects of the curvature friction coefficient, the wobble friction coefficient, and the increased strength of concrete, reinforced tendon on optimum de signs by using the optimum-design program, to minimize the cost of a PSC box girder bridge using the full staging method. The objective of this study is to find a proper tendon for the friction coefficient, and thereafter, to indicate the direction of the study development about tendons and to indicate the direction of a study on the increased strength of used materials. This program used the SUMT procedure and Kavlie's extended-penalty function to allow infeasible design points in the process. Powel's direct method was used in searching design points, and the gradient approximate method was used to reduce the design hours.

Longitudinal vibration of a nanorod embedded in viscoelastic medium considering nonlocal strain gradient theory

  • Balci, Mehmet N.
    • Advances in nano research
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    • v.13 no.2
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    • pp.147-164
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    • 2022
  • This article investigates the longitudinal vibration of a nanorod embedded in viscoelastic medium according to the nonlocal strain gradient theory. Viscoelastic medium is considered based on Kelvin-Voigt model. Governing partial differential equation is derived based on longitudinal equilibrium and analytical solution is obtained by adopting harmonic motion solution for the nanorod. Modal frequencies and corresponding damping ratios are presented to demonstrate the influences of nonlocal parameter, material length scale, elastic and damping parameters of the viscoelastic medium. It is observed that material length scale parameter is very influential on modal frequencies especially at lower values of nonlocal parameter whereas increase in length scale parameter has less effect at higher values of nonlocal parameter when the medium is purely elastic. Elastic stiffness and damping coefficient of the medium have considerable impacts on modal frequencies and damping ratios, and the highest impact of these parameters on frequency and damping ratio is seen in the first mode. Results calculated based on strain gradient theory are quite different from those calculated based on classical elasticity theory. Hence, nonlocal strain gradient theory including length scale parameter can be used to get more accurate estimations of frequency response of nanorods embedded in viscoelastic medium.