• Title/Summary/Keyword: distribution-free

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Strategy for refinement of nodal densities and integration cells in EFG technique

  • Patel, Bhavana S.S.;Narayan, Babu K.S.;Venkataramana, Katta
    • Structural Engineering and Mechanics
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    • v.59 no.5
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    • pp.901-920
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    • 2016
  • MeshFree methods have become popular owing to the ease with which high stress gradients can be identified and node density distribution can be reformulated to accomplish faster convergence. This paper presents a strategy for nodal density refinement with strain energy as basis in Element-Free Galerkin MeshFree technique. Two popular flat plate problems are considered for the demonstration of the proposed strategies. Issue of integration errors introduced during nodal density refinement have been addressed by suggesting integration cell refinement. High stress effects around two symmetrical semi-circular notches under in-plane axial load have been addressed in the first problem. The second considers crack propagation under mode I and mode II fracture loading by the way of introducing high stress intensity through line crack. The computational efficacy of the adaptive refinement strategies proposed has been highlighted.

Semi-analytical solutions of free and force vibration behaviors of GRC-FG cylindrical shells

  • Lei, Zuxiang;Tong, Lihong
    • Steel and Composite Structures
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    • v.32 no.5
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    • pp.687-699
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    • 2019
  • In this paper, free and force vibration behaviors of graphene-reinforced composite functionally graded (GRC-FG) cylindrical shells in thermal environments are investigated based on Reddy's third-order shear deformation theory (HSDT). The GRC-FG cylindrical shells are composed of piece-wise pattern graphene-reinforced layers which have different volume fraction. Based on the extended Halpin-Tsai micromechanical model, the effective material properties of the resulting nanocomposites are evaluated. Using the Hamilton's principle and the assumed mode method, the motion equation of the GRC-FG cylindrical shells is formulated. Using the time- and frequency-domain methods, free and force vibration properties of the GRC-FG cylindrical shell are analyzed. Numerical cases are provided to study the effects of distribution of graphene, shell radius-to-thickness ratio and temperature changes on the free and force vibration responses of GRC-FG cylindrical shells.

Application of hyperbolic shear deformation theory to free vibration analysis of functionally graded porous plate with piezoelectric face-sheets

  • Arefi, M.;Meskini, M.
    • Structural Engineering and Mechanics
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    • v.71 no.5
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    • pp.459-467
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    • 2019
  • In this paper, hyperbolic shear deformation theory is used for free vibration analysis of piezoelectric rectangular plate made of porous core. Various types of porosity distributions for the porous material is used. To obtain governing equations of motion, Hamilton's principle is used. The Navier's method is used to obtain numerical results of the problem in terms of significant parameters. One can conclude that free vibration responses are changed significantly with change of important parameters such as various porosities and dimensionless geometric parameters such as thickness to side length ratio and ratio of side lengths.

Free vibrational behavior of bi-directional perfect and imperfect axially graded cylindrical shell panel under thermal environment

  • Pankaj S. Ghatage;P. Edwin Sudhagar
    • Structural Engineering and Mechanics
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    • v.85 no.1
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    • pp.135-145
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    • 2023
  • This study presents the free vibrational responses of bi-directional axially graded cylindrical shell panels using 3D graded finite element approximation under a temperature field. The cylindrical shell panel is graded in two directions and made of metal-ceramic materials. To extract material properties, the Voigt model is combined with a Power-law material distribution. Convergence and validation studies are performed on the developed computational model to ensure its accuracy and effectiveness. Furthermore, a parametric study is performed to evaluate the developed model, which demonstrates that geometrical parameters, imperfect materials (porosity), support conditions, and surface temperature all have a significant impact on the free vibration responses of a bi-directional axially graded cylindrical shell panel in a thermal environment.

Bending and free vibration analysis of FG sandwich beams using higher-order zigzag theory

  • Gupta, Simmi;Chalak, H.D.
    • Steel and Composite Structures
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    • v.45 no.4
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    • pp.483-499
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    • 2022
  • In present work, bending and free vibration studies are carried out on different kinds of sandwich FGM beams using recently proposed (Chakrabarty et al. 2011) C-0 finite element (FE) based higher-order zigzag theory (HOZT). The material gradation is assumed along the thickness direction of the beam. Power-law, exponential-law, and sigmoidal laws (Garg et al 2021c) are used during the present study. Virtual work principle is used for bending solutions and Hamilton's principle is applied for carrying out free vibration analysis as done by Chalak et al. 2014. Stress distribution across the thickness of the beam is also studied in detail. It is observed that the behavior of an unsymmetric beam is different from what is exhibited by a symmetric one. Several new results are also reported which will be useful in future studies.

COMPUTATION OF FREE-SURFACE FLOWS DUE TO PRESSURE DISTRIBUTION

  • Jack Asavanant;Montri Maleewong;Choi, Jeong-Whan
    • Communications of the Korean Mathematical Society
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    • v.16 no.1
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    • pp.137-152
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    • 2001
  • Steady two-dimensional flows due to an applied pressure distribution in water of finite depth are considered. Gravity is included in the dynamic boundary condition. Gravity is included in the dynamic boundary condition. The problem is solved numerically by using the boundary integral equation technique. It is shown that, for both supercritical and subcritical flows, solutions depend on three parameters: (i) the Froude number, (ii) the magnitude of applied pressure distribution, and (iii) the span length of pressure distribution. For supercritical flows, there exist up to two solutions corresponding to the same value of Froude number for positive pressures and a unique solution for negative pressures. For subcritical flows, there are solutions with waves behind the applied pressure distribution. As the Froude number decreases, these waves when the Froude numbers approach the critical values.

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Reform Measures of Distribution Structure to Promote Domestic Milk Consumption (국산 시유의 소비 증진을 위한 유통 구조 개선 방향)

  • Chung, Woon-Hyun
    • Journal of Dairy Science and Biotechnology
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    • v.17 no.1
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    • pp.32-38
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    • 1999
  • Korean dairy industry is placed on the very critical situation with the progress of free trade marketing system internationally. To keep and improve the dairy food market, better measures are imperative for dairy industry. Especially, the milk distribution system is premodern to some extent, in comparison with both the production and the processing part of dairy industry. Reform measures for the promotion of domestic milk consumption by lowering the distribution cost are as follows. First, out-sourcing of the logistics department can decrease the circulation cost of milk. Secondly, milk should be packed into large-size package(more than 1 liter) to save both package and distribution cost. Thirdly, milk should be distributed from plant to consumers through the hygienic distribution system including perfect cold chain system, Above reform measures can not come true through the efforts taken by one company but through co-worker, concerted research, and joint in-vestment among dairy companies that can reduce the distribution cost and provide consumers with the best service, eventually resulting in the increment of milk consumption.

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Study and analysis of porosity distribution effects on the buckling behavior of functionally graded plates subjected to diverse thermal loading

  • Abdelhak Zohra;Benferhat Rabia;Hassaine Daouadji Tahar
    • Coupled systems mechanics
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    • v.13 no.2
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    • pp.115-132
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    • 2024
  • This paper introduces an improved shear deformation theory for analyzing the buckling behavior of functionally graded plates subjected to varying temperatures. The transverse shear strain functions employed satisfy the stress-free condition on the plate surfaces without requiring shear correction factors. The material properties and thermal expansion coefficient of the porous functionally graded plate are assumed temperature-dependent and exhibit continuous variation throughout the thickness, following a modified power-law distribution based on the volume fractions of the constituents. Moreover, the study considers the influence of porosity distribution on the buckling of the functionally graded plates. Thermal loads are assumed to have uniform, linear, and nonlinear distributions through the thickness. The obtained results, considering the effect of porosity distribution, are compared with alternative solutions available in the existing literature. Additionally, this study provides comprehensive discussions on the influence of various parameters, emphasizing the importance of accounting for the porosity distribution in the buckling analysis of functionally graded plates.

A Practical Voltage Error Correction Technique for Distribution System under Distribution Automation Environment

  • Aslam, Muhammad;Kim, Hyung-Seung;Choi, Myeon-Song;Lee, Seung-Jae
    • Journal of Electrical Engineering and Technology
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    • v.13 no.2
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    • pp.669-676
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    • 2018
  • Transmission system has been well studied since long time and power system techniques of distribution system are more or less derived from transmission system. However, unlike transmission systems, many practical issues are encountered in the distribution system. Considerable amount of error is observed in voltage obtained from the Feeder Remote Terminal Units (FRTUs) measured by the pole mounted PTs along the distribution feeder. Load uncertainty is also an issue in distribution system. Further, penetration of Distributed Generators (DGs) creates voltage variations in the system. Hybrid radial/ loop distribution system also make it complicated to handle distribution system. How these constraints to be handled under Distribution Automation (DAS) environment in order to obtain error free voltage is described in this paper and therefore, a new approach of voltage error correction technique has been proposed. The proposed technique utilizes reliable data from substation and the FRTUs installed in DAS. The proposed technique adopts an iterative process for voltage error correction. It has been tested and proved accurate not only for conventional radial systems but also for loop distribution systems.