• Title/Summary/Keyword: Iso-parametric curve

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Generation of Discrete $G^1$ Continuous B-spline Ship Hullform Surfaces from Curve Network Using Virtual Iso-parametric Curves

  • Rhim, Joong-Hyun;Cho, Doo-Yeoun;Lee, Kyu-Yeul;Kim, Tae-Wan
    • Journal of Ship and Ocean Technology
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    • v.10 no.2
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    • pp.24-36
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    • 2006
  • Ship hullform is usually designed with a curve network, and smooth hullform surfaces are supposed to be generated by filling in (or interpolating) the curve network with appropriate surface patches. Tensor-product surfaces such as B-spline and $B\'{e}zier$ patches are typical representations to this interpolating problem. However, they have difficulties in representing the surfaces of irregular topological type which are frequently appeared in the fore- and after-body of ship hullform curve network. In this paper, we proposed a method that can automatically generate discrete $G^1$ continuous B-spline surfaces interpolating given curve network of ship hullform. This method consists of three steps. In the first step, given curve network is reorganized to be of two types: boundary curves and reference curves of surface patches. Especially, the boundary curves are specified for their surface patches to be rectangular or triangular topological type that can be represented with tensor-product (or degenerate) B-spline surface patches. In the second step, surface fitting points and cross boundary derivatives are estimated by constructing virtual iso-parametric curves at discrete parameters. In the last step, discrete $G^1$ continuous B-spline surfaces are generated by surface fitting algorithm. Finally, several examples of resulting smooth hullform surfaces generated from the curve network data of actual ship hullform are included to demonstrate the quality of the proposed method.

A Study on the Fire Resistance of yLRC Composite Columns with Steel Sheet Forms and Angles (강재 영구거푸집을 사용한 yLRC 합성기둥의 내화성능 연구)

  • Kim, Bo Ram;Kang, Seong Deok;Kim, Hyung Geun;Kim, Myeong Han;Kim, Sang Dae
    • Journal of Korean Society of Steel Construction
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    • v.20 no.3
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    • pp.365-375
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    • 2008
  • The main objective of this paper is to study the behaviour of yLRC composite columns at elevated temperatures by experimental test. The effects of load ratios, cross-section size and fire protection for the yLRC columns were investigate d by the test and compared using the heat transfer analysis perfo rmed based on the finite element program ANSYS 10.0 using the ISO834 standard fire curve, following the main guidelines proposed by the EC4 Part 1.2. As heat transfer is the movement of heat by conduction, convection, and radiation, and as temperature inside an object varies by position and time, time. As the steel's thermal conductivity is higher than that of concrete, steel loses its strength rapidly in a high-temperature situation such as a fire. Fire resistance performance of the yLRC composite column under fire conditions was evaluated througheat transfer analysis for parametric study.

Thermo-mechanical analysis of reinforced concrete slab using different fire models

  • Suljevic, Samir;Medic, Senad;Hrasnica, Mustafa
    • Coupled systems mechanics
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    • v.9 no.2
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    • pp.163-182
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    • 2020
  • Coupled thermo-mechanical analysis of reinforced concrete slab at elevated temperatures from a fire accounting for nonlinear thermal parameters is carried out. The main focus of the paper is put on a one-way continuous reinforced concrete slab exposed to fire from the single (bottom) side as the most typical working condition under fire loading. Although contemporary techniques alongside the fire protection measures are in constant development, in most cases it is not possible to avoid the material deterioration particularly nearby the exposed surface from a fire. Thereby the structural fire resistance of reinforced concrete slabs is mostly influenced by a relative distance between reinforcement and the exposed surface. A parametric study with variable concrete cover ranging from 15 mm to 35 mm is performed. As the first part of a one-way coupled thermo-mechanical analysis, transient nonlinear heat transfer analysis is performed by applying the net heat flux on the exposed surface. The solution of proposed heat analysis is obtained at certain time steps of interest by α-method using the explicit Euler time-integration scheme. Spatial discretization is done by the finite element method using a 1D 2-noded truss element with the temperature nodal values as unknowns. The obtained results in terms of temperature field inside the element are compared with available numerical and experimental results. A high level of agreement can be observed, implying the proposed model capable of describing the temperature field during a fire. Accompanying thermal analysis, mechanical analysis is performed in two ways. Firstly, using the guidelines given in Eurocode 2 - Part 1-2 resulting in the fire resistance rating for the aforementioned concrete cover values. The second way is a fully numerical coupled analysis carried out in general-purpose finite element software DIANA FEA. Both approaches indicate structural fire behavior similar to those observed in large-scale fire tests.

Effect of Wall Thickness on Thermal Behaviors of RC Walls Under Fire Conditions

  • Kang, Jiyeon;Yoon, Hyunah;Kim, Woosuk;Kodur, Venkatesh;Shin, Yeongsoo;Kim, Heesun
    • International Journal of Concrete Structures and Materials
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    • v.10 no.sup3
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    • pp.19-31
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    • 2016
  • The objective of this paper is to investigate the effect of thickness and moisture on temperature distributions of reinforced concrete walls under fire conditions. Toward this goal, the first three wall specimens having different thicknesses are heated for 2 h according to ISO standard heating curve and the temperature distribution through the wall thickness is measured. Since the thermal behavior of the tested walls is influenced by thickness, as well as moisture content, three additional walls are prepared and preheated to reduce moisture content and then tested under fire exposure. The experimental results clearly show the temperatures measured close to the fire exposed surface of the thickest wall with 250 mm thickness is the highest in the temperatures measured at the same location of the thinner wall with 150 mm thickness because of the moisture clog that is formed inside the wall with 250 mm of thickness. This prevents heat being transferred to the opposite side of the heated surface. This is also confirmed by the thermal behavior of the preheated walls, showing that the temperature is well distributed in the preheated walls as compared to that in non-preheated walls. Finite element models including moisture clog zone are generated to simulate fire tests with consideration of moisture clog effect. The temperature distributions of the models predicted from the transient heat analyses are compared with experimental results and show good agreements. In addition, parametric studies are performed with various moisture contents in order to investigate effect of moisture contents on the thermal behaviors of the concrete walls.