• 한국공간구조학회논문집
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• 제18권1호
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• pp.127-134
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• 2018

This study suggests the tangent modulus $E_t$ associated with partially yielded section of steel member under axially compressed. The provisions for column strength does not provide a information about failure mode of structural system. So, designers can not evaluate that a failure comes from member buckling or material yielding. The material of the axially compressed column under inelastic behavior reaches yielding point before the axial force renders the column bent. If axial members yields not by buckling effect but gradually yielding effect of material, the design code should accept related tangent modulus Et which is based on gradual yielding effect of material. This study provides the new effective tangent modulus $E_t$ derived in the case that residual stress is 30 percent and 50 percent of yielding stress respectively. The study considers idealized I section of steel which ignores web and general I section of steel with web respectively and makes conclude that tangent modulus $E_t$ with idealized I section of steel is rational.

• Journal of applied mathematics & informatics
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• 제20권1_2호
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• pp.647-655
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• 2006

We consider the applications of modulus to the boundary behavior of meromorphic functions in connection with the singularities. The proofs are based on the method of modulus. The relations between the moduli and the logarithmic capacities shall be introduced and we have shown that the conformal capacity is related to the modulus.

• 충청수학회지
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• 제16권2호
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• pp.23-30
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• 2003

In this note, we introduce the concept of the modulus of a curve family in $R^n$ and examine some basic properties. And we study the boundary behavior of quasiconformal mappings on a domain $D{\subset}\bar{R}^n$ and present some geometric applications.

• 복합신소재구조학회 논문집
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• 제2권3호
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• pp.30-35
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• 2011

본 연구에서는 신형상 층고절감형 합성보에 대한 최적단면을 도출하기 위해 단면성능 계산 프로그램을 개발하여 단면성능에 대해 비교 분석을 하였다. 신형상 합성보는 상부 플랜지 하부에 바닥시스템이 위치하여 전통적인 공법에 비해 층고절감의 효과와 최적단면으로 설계시 공기의 단축과 비용의 절감은 물론 물량의 감소를 기대 할 수 있다. 그러나 단면은 기존 H형강 보와 달리 상하 비대칭으로 중립축의 위치가 중앙에 위치하지 않기 때문에 상하연단에 대한 단면계수가 같지 않게 된다. 이에 따른 상하플랜지 판요소의 두께비에 따른 매개 변수적 분석이 요구된다. 따라서, 본 연구에서는 단면의 상부 플랜지 두께에 대한 하부 플랜지 두께의 비에 따른 중립축위치, 단면계수의 변화추이를 분석하여 최적단면을 도출하는데 주목적을 두었다.

• Structural Engineering and Mechanics
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• 제43권1호
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• pp.15-30
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• 2012

A damped Timoshenko beam element is introduced for the DOF-efficient forced vibration analysis of beam-like structures coated with viscoelastic damping layers. The rotary inertia as well as the shear deformation is considered, and the damping effect of viscoelastic layers is modeled as an imaginary loss factor in the complex shear modulus. A complex composite cross-section of structures is replaced with a homogeneous one by means of the transformed section approach in order to construct an equivalent single-layer finite element model capable of employing the standard $C^{0}$-continuity basis functions. The numerical reliability and the DOF-efficiency are explored through the comparative numerical experiments.

• The Korean Journal of Physiology
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• 제7권2호
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• pp.49-58
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• 1973

가토(家兎)의 외경동맥(外頸動脈)의 신장도(伸張度)를 알기 위(爲)하여 좌측(左側) 외경동맥(外經動脈)을 절단(切斷)하여 적출(摘出)하고 전혈질(全血質)과 횡절편(橫切片) 및 종절편(縱切片)을 작성(作成)한 후(後) 생리적식염수(生理的食鹽水) 중(中)에 둔 군(群)과 동일(同一)한 방법(方法)으로서 얻은 각(各) 혈질표본(血質標本)을 0.15 mM 및 0.30 mM의 ATP 용액중(溶液中)에 둔 군(群)에서 각각(各各) 15분(分), 45분(分) 및 75분(分)에서 길이 일장력곡선중(一張力曲線中) 탄성(彈性)의 한계(限界) 내(內)에서 Hooke의 법칙(法則)에 따르는 부위(部位)에서 Young 율(率)을 구(求)하여 서로 비교(比較)하였던 바 다음의 결과(結果)를 얻었다. 1) 가토(家兎) 외경동맥(外經動脈)의 전혈질(全血質)을 생리적식염수(生理的食鹽水)에 둔 군(群)에서는 그 Young 율(率)이 실험시간(實驗時間) 15분(分)에서는 $4.74{\times}10^7 dyne/cm^2$이었으나 45분(分) 및 75분(分)에서는 각각(各各) 4.62 및 $4.13{\times}10^7 dyne/cm^2$이었다. 한편 ATP 0.30mM의 농도(濃度)에서는 0.15mM의 농도(濃度)에 비(比)하여 낮은 Young 율(率)을 나타내었다. 2) 외경동맥(外經動脈)의 횡절편(橫切片)의 Young 율(率)은 생리적식염수중(生理的食鹽水中)에서는 15분(分), 45분(分) 및 75분(分)에서 각각(各各) 4.11, 3.75 및 $3.90{\times}10^7 dyne/cm^2$으로서 15분(分)이 가장 높고 그 후(後)는 큰 변화(變化)가 없는 경향(傾向)이었으나, ATP 첨가(添加)로서는 실험시간(實驗時間)에 따른 변화(變化)는 볼 수 없었다. ATP 첨가(添加)로서는 0.30mM의 농도(濃度)에서 0.15 mM의 농도(濃度)에 비(比)하여 Young 율(率)이 낮았다. 3) 외경동맥(外經動脈)의 종절편(縱切片)의 Young 율(率)은 생리적식염수(生理的食鹽水)에 둔 군(群)에서는 15분(分), 45분(分) 및 75분(分)에서 각각(各各) 2.12, 2.48 및 $2.46{\times}10^7 dyne/cm^2$으로서 실험초기(實驗初期)에 비(比)하여 후기(後期)에서 Young 율(率)이 약간(若干) 높은 경향(傾向)을 나타내었고, 이러한 경향(傾向)은 ATP의 첨가(添加)로서도 비슷하였다.

• Journal of the Korean Wood Science and Technology
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• 제44권4호
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• pp.539-550
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• 2016

The objective of this research was to evaluate physical and mechanical properties of three species of Styrax woods from North Tapanuli in Indonesia. The woods were more than 15 years old. Physical properties such as specific gravity, green moisture content, and volume shrinkage were determined by the procedures based on BS-373 standard for small clear specimen. Furthermore, mechanical properties, including modulus of rupture, modulus of elasticity, compression parallel to grain and hardness were also tested according to the standard. Along the stem direction, the edge section had better properties compared with those near the pith section. And the base section had also better properties than upper section. Based on the specific gravity, all of the Styrax woods in this research were classified into III-IV strength classes. A good dimensional stability was demonstrated by the value of the tangential and radial ratio which reached one. With the consideration of the mechanical properties, Styrax woods were suitable use for raw materials of light construction, furniture and handy craft.

• Structural Engineering and Mechanics
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• 제71권2호
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• pp.153-163
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• 2019

Longitudinal fracture behavior of non-linear elastic beam configurations is studied in terms of the strain energy release rate. It is assumed that the beams exhibit continuous material inhomogeneity along the width as well as along the height of the crosssection. The Ramberg-Osgood stress-strain relation is used for describing the non-linear mechanical behavior of the inhomogeneous material. A solution to strain energy release rate is derived that holds for inhomogeneous beams of arbitrary cross-section under combination of axial force and bending moments. Besides, the solution may be applied at any law of continuous distribution of the modulus of elasticity in the beam cross-section. The longitudinal crack may be located arbitrary along the beam height. The solution is used to investigate a longitudinal crack in a beam configuration of rectangular cross-section under four-point bending. The crack is located symmetrically with respect to the beam mid-span. It is assumed that the modulus of elasticity varies continuously according a cosine law in the beam cross-section. The longitudinal fracture behavior of the inhomogeneous beam is studied also by applying the J-integral approach for verification of the non-linear solution to the strain energy release rate derived in the present paper. Effects of material inhomogeneity, crack location along the beam height and non-linear mechanical behavior of the material on the longitudinal fracture behavior are evaluated. Thus, the solution derived in the present paper can be used in engineering design of inhomogeneous non-linear elastic structural members to assess the influence of various material and geometrical parameters on longitudinal fracture.

• Smart Structures and Systems
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• 제20권4호
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• pp.473-481
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• 2017

This study suggests a simple, convenient and non-destructive method for investigation of the Young's modulus detection in stepped shafts which only utilizes the first-order resonant frequency in flexural mode and dimensions of structures. The method is based on the impulse excitation technique (IET) to pick up the fundamental resonant frequencies. The standard Young's modulus detection formulas for rectangular and circular cross-sections are well investigated in literatures. However, the Young's modulus of stepped shafts can not be directly detected using the formula for a beam with rectangular or circular cross-section. A response surface method (RSM) is introduced to design numerical simulation experiments to build up experimental formula to detect Young's modulus of stepped shafts. The numerical simulation performed by finite element method (FEM) to obtain enough simulation data for RSM analysis. After analysis and calculation, the relationship of flexural resonant frequencies, dimensions of stepped shafts and Young's modulus is obtained. Numerical simulations and experimental investigations show that the IET method can be used to investigate Young's modulus in stepped shafts, and the FEM simulation and RSM based IET formula proposed in this paper is applicable to calculate the Young's modulus in stepped shaft. The method can be further developed to detect mechanical parameters of more complicated structures using the combination of FEM simulation and RSM.

• Journal of the Korean Wood Science and Technology
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• 제44권3호
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• pp.315-322
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• 2016

2개 이상의 보부재 집성재 요소들의 측면접착으로 제작된 "블록접착집성재"는 대단면 목조건축물의 건축부재로 활용 가능한 구조용재다. 블록접착집성재의 측면은 접착제의 종류와 도포량 및 압체압력을 각기 다른 조합으로 접착하여 박리시험과 전단블록시험으로 접착성능을 검토하였다. 실험결과 레조시놀접착제 $500g/m^2$을 도포하고 압체압력 1.5 MPa의 조건으로 제작된 블록접착집성재의 측면접착성능이 가장 양호하였다. 양호한 측면접착조건으로 제작된 블록접착집성재는 동일단면계수의 대조군 집성재와 휨 강도 성능을 비교 검토하였다. 블록접착집성재의 휨 탄성계수는 대조군 집성재와 유사하였으며, 파괴계수는 대조군집성재 보다 27% 향상되었다. 할렬은 대조군집성재 보다 블록접착집성재에서 다량 발생하였으며, 블록접착집성재의 측면접착층에서 계면파괴나 응집파괴는 관찰되지 않았다.