• 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.

• 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.

• Journal of Mechanical Science and Technology
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• v.17 no.10
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• pp.1458-1465
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• 2003

An eigenvalue analysis of the circular Mindlin plates with free boundary conditions is presented. The analysis is based on the Chebyshev-Fourier pseudospectral method. Even though the eigenvalues of lower vibration modes tend to convergence more slowly than those of higher vibration modes, the eigenvalues converge for sufficiently fine pseudospectral grid resolutions. The eigenvalues of the axisymmetric modes are computed separately. Numerical results are provided for different grid resolutions and for different thickness-to-radius ratios.

• Journal of applied mathematics & informatics
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• v.16 no.1_2
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• pp.165-181
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• 2004

Based on Landau-type transformation, a Stefan problem with non-linear free boundary condition is transformed into a system consisting of parabolic equation and the ordinary differential equations. Semidiscrete approximations are constructed. Optimal orders of convergence of semidiscrete approximation in $L_2$, $H^1$ and $H^2$ normed spaces are derived.

• Journal of the Korea Convergence Society
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• v.11 no.5
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• pp.209-217
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• 2020

The background of the research is the following. With the prosperity of drone industry, the government has been actively promoting measures to nominate 'drone photographing free areas'. However, existing laws, and procedures are rather unclear with related environmental factors in discordance with one another. Hence, voices in need for establishing a clear precondition for nominating drone photography free area have been rising. The purpose of the research is to provide measures for the preconditions to establish photography free areas for convenient drone photographing. The research utilizes literary methods, conducting focus group interviews to coordinate with specialists who can participate and discuss so that they can provide improvement measures. The research renders improvement measures in different sectors including 2x items in aviation security law, 8x items in free area nomination and procedure, 4x items in infrastructure establishment and information management area. The expected effects are the following: by attaching drone photography with aviation security law, nominating photography free area can be linked up with the Ministry of Land Infrastructure and Technology. Secondly, by enlarging photography restricted area to upper mid-air, a three dimensional drone security will be possible. Thirdly, by providing a 'Yongin area standard model', free area nomination will become more easy. Future research will focus on enhancing aviation security law regarding drone photographing. In addition, the promotion to nominate free areas for 33x responsible areas in accordance with the National Intelligence service will be required.

• Communications of the Korean Mathematical Society
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• v.12 no.2
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• pp.467-478
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• 1997

A nonlinear Galerkin method for the Burgers equation is considered. Due to the lack of the divergence free condition, the nonlinear term is treated differently compared to that of the Navier-Stokes equations. Strong convergence results are proved for the nonlinear Galerkin method.

• ETRI Journal
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• v.29 no.6
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• pp.835-837
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• 2007

A multi-bit sigma-delta modulator architecture is described for low-distortion performance and a high-speed operation. The proposed architecture uses both a delayed code and a delayed differential code of analog-to-digital converter in the feedback path, thereby suppressing signal components in the integrators and relaxing the timing requirement of the analog-to-digital converter and the scrambler logic. Implemented by a 0.13 ${\mu}m$ CMOS process, the sigma-delta modulator achieves high linearity. The measured spurious-free dynamic range is 89.1 dB for -6 dBFS input signal.

• Journal of computational fluids engineering
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• v.19 no.4
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• pp.20-28
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• 2014

An efficient solution algorithm for simulating free surface problem is presented. Navier-Stokes equations for variable density incompressible flow are employed as the governing equation on Cartesian meshes. In order to describe the free surface motion efficiently, VOF(Volume Of Fluid) method utilizing THINC(Tangent of Hyperbola for Interface Capturing) scheme is employed. The most time-consuming part of the current free surface flow simulations is the solution step of the linear system, derived by the pressure Poisson equation. To solve a pressure Poisson equation efficiently, the PCG(Preconditioned Conjugate Gradient) method is utilized. This study showed that the proper application of the preconditioner is the key for the efficient solution of the free surface flow when its pressure Poisson equation is solved by the CG method. To demonstrate the efficiency of the current approach, we compared the convergence histories of different algorithms for solving the pressure Poisson equation.

• Journal of Korean Elementary Science Education
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• v.39 no.2
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• pp.243-254
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• 2020

This study analyzed the characteristics of "free inquiry" products for scientifically-gifted elementary school students. To do this, 5~6 graders (n=99) at a gifted science education institutes in Seoul were selected. The products (n=82) of "free inquiry" submitted by the students in 2018 and 2019 were analyzed according to their contents and method types. The analysis of the results showed that the free inquiry outputs of scientifically-gifted students tended to not include the scientific knowledge of the upper grades than the corresponding students. In the outputs, the scientific knowledge in different grades were often not linked. There were relatively many cases of convergence of knowledge in various science and/or non-science subjects and knowledge of 'physics', whereas knowledge of 'earth science' were the least. The outputs were more often aimed at "finding scientific facts" than "development and invention" and tended to target non-living things rather than living things. The scientifically-gifted students tended to conduct free inquiry using 'experimental-centered inquiry' by themselves rather than by group. They were also most likely to conduct experiments only once, and did not clearly write down the period of their inquiry. Educational implications of these findings are discussed.

• Ocean Systems Engineering
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• v.6 no.4
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• pp.363-375
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• 2016

Large numbers of submarine pipelines are laid as the world now is attaching great importance to offshore oil exploitation. Free spanning of submarine pipelines may be caused by seabed unevenness, change of topology, artificial supports, etc. By combining Iwan's wake oscillator model with the differential equation which describes the vibration behavior of free-span submarine pipelines, the pipe-fluid coupling equation is developed and solved in order to study the effect of both internal and external fluid on the vibration behavior of free-span submarine pipelines. Through generalized integral transform technique (GITT), the governing equation describing the transverse displacement is transformed into a system of second-order ordinary differential equations (ODEs) in temporal variable, eliminating the spatial variable. The MATHEMATICA built-in function NDSolve is then used to numerically solve the transformed ODE system. The good convergence of the eigenfunction expansions proved that this method is applicable for predicting the dynamic response of free-span pipelines subjected to both internal flow and external current.