• 제목/요약/키워드: indirect buckling

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Hybrid 구조물의 비선형 불안정 거동에 관한 연구(II) -STEP 하중에서의 동적 면내비틀림 좌굴 특성- (A Study on the Nonlinear Instability Behavior of Hybrid Structures(II) -Characteristic of Dynamic In-Plane Torsional Buckling under the STEP Load-)

  • 김승덕;김형석;강문명
    • 한국강구조학회 논문집
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    • 제13권5호
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    • pp.599-608
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    • 2001
  • STEP 하중을 받고 있는 쉘형 구조물의 동적 불안정 문제를 다룬 연구 결과는 다소 발표되고 있으나 Hybrid 케이블 돔의 동적 불안정 문제를 다룬 연구는 아직 없는 실정이다. 또 카오스의 생성을 파악하기 위하여 위상면을 이용하여 동적 좌굴의 기본적 현상을 다룬 연구도 거의 없다. 본 연구에서는 기하학적 비선형을 고려한 Hybrid 케이블 돔의 간접좌굴을 수치적 기법으로 조사하고 이를 정적 임계하중과 비교하였다. 동적 좌굴하중은 비선형 운동방정식을 수치분석하여 결정하고 위상면을 이용하여 간접좌굴 현상을 규명한다.

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A study of the nonlinear dynamic instability of hybrid cable dome structures

  • Kim, Seung-Deog;Kim, Hyung-Seok;Kang, Moon-Myung
    • Structural Engineering and Mechanics
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    • 제15권6호
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    • pp.653-668
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    • 2003
  • Many papers which deal with the dynamic instability of shell-like structures under the STEP load have been published. But, there have been few papers related to the dynamic instability of hybrid cable domes. In this study, the dynamic instability of hybrid cable domes considering geometric nonlinearity is investigated by a numerical method. The characteristic structural behaviour of a cable dome shows a strong nonlinearity, so we determine the shape of a cable dome by applying initial stress and examine the indirect buckling mechanism under dynamic external forces. The dynamic critical loads are determined by the numerical integration of the nonlinear equation of motion, and the indirect buckling is examined by using the phase plane to investigate the occurrence of chaos.

얕은 정현형 아치의 불안정 거동에 관한 연구(2) : 스텝하중에서의 동적좌굴 특성 (The Instability Behavior of Shallow Sinusoidal Arches(2) : Classification of Dynamic Buckling under Step Pressure)

  • 김승덕;박지윤;권택진
    • 한국전산구조공학회논문집
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    • 제12권3호
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    • pp.417-426
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    • 1999
  • 쉘형 구조물의 동적 불안정 문제를 다룬 연구결과는 다소 발표되고 있으나, 위상면을 이용하여 카오스 생성에 관해 기본적 현상을 다룬 연구는 아직 없는 실정이다. 동적 비선형 문제에서, 여러 가지 초기조건에 의해 불안정 현상이 민감하게 발생하는 이유를 파악하기 위해 위상면에서의 끌개의 특성을 조사하여 동적 불안정 생성과정을 검토하는 일은 매우 중요하다. 본 연구에서는 기하학적 비선형을 고려한 얕은 아치의 직접/간접 좌굴을 수치적 기법으로 조사하고, 이를 정적 좌굴하중과 비교한다.

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얕은 정현형(正弦型) 아치의 동적불안정에 관한 연구 (A Study on the Dynamic Instability of Shallow Sinusoidal Arches)

  • 김승덕;박지윤;권택진
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1998년도 가을 학술발표회 논문집
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    • pp.233-242
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    • 1998
  • Many papers which deal with the dynamic instability for shell-like structures under the step load have been published, but there are few papers which treat the essential phenomenon of the dynamic buckling using the phase plane for investigating occurrence of chaos. Dynamic buckling process in the phase plane is a very important thing for understanding why unstable phenomena are sensitively originated in nonlinear dynamics by various initial conditions. In this study, the direct and the indirect snap-buckling of shallow arches considering geometrical nonlinearity are investigated numerically and compared with the static critical load.

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비선형 고유치 해석에 의한 정현형 아치의 좌굴 특성에 관한 연구 (Buckling Characteristics of Shallow Sinusoidal Arches by Nonlinear Eigenvalue Analysis)

  • 윤태영;김승덕
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2002년도 가을 학술발표회 논문집
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    • pp.185-192
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    • 2002
  • In this study, we choose the sinusoidal shaped arch with pin-ends subjected to sinusoidal distributed excitation to investigate the fundamental mechanism of the dynamic instability. We derive the nonlinear equations of motion to investigate the instability phenomenon of arch structures and Identify the buckling characteristics of sinusoidal shaped arch structures through the nonlinear eigenvalue analysis with discreted equations of motion by Galerkin's method. We examine that phenomenons which direct snapping and indirect snapping with backbone curves to understand occurrence paths of the dynamic buckling.

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스텝 하중을 받는 얕은 EP쉘 구조물의 비선형 연속응답스펙트럼에 의한 불안정 특성 (Instability Characteristic of Nonlinear Running Spectra of Shallow EP Shells under STEP Excitations)

  • 김승덕;김두리
    • 한국공간구조학회논문집
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    • 제10권1호
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    • pp.119-126
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    • 2010
  • 쉘형 구조물의 동적 불안정 문제를 다룬 연구결과는 다소 발표되고 있으나 위상곡면을 이용하여 카오스 생성에 관한 기본적 현상을 다룬 연구는 거의 없는 실정이다. 동적 비선형 문제에서 여러 가지 초기조건에 의해 불안정 현상이 민감하게 발생하는 이유를 파악하기 위해서는 위상곡면에서 끌개의 특성을 조사하여 동적 불안정 생성과정을 검토하는 일은 매우 중요하다. 본 연구에서는 얕은 EP 쉘이 스텝하중을 받을 때, 직접 좌굴과 간접 좌굴의 발생 경로를 파악하기 위하여 Galerkin 법에 의해 전개된 이산화 방정식을 구한다. 이를 수치해석 기법으로 위상곡선과 연속응답스펙트럼을 구해 동적 불안정 특성을 규명한다.

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연속 응답 스펙트럼 분석에 의한 아치의 동적 직접 및 간접 좌굴 특성 (Dynamic Direct and Indirect Buckling Characteristics of Arch by Running Response Spectrum)

  • 윤태영;김승덕
    • 한국공간정보시스템학회:학술대회논문집
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    • 한국공간정보시스템학회 2004년도 춘계 학술발표회 논문집 제1권1호(통권1호)
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    • pp.161-168
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    • 2004
  • The dynamic instability of snapping phenomena has been studied by many researchers. Few papers deal with dynamic buckling under loads with periodic characteristics, and the behavior under periodic excitations is expected to be different from behavior under STEP excitations. We investigate the fundamental mechanisms of the dynamic instability when the sinusoidally shaped arch structures are subjected to sinusoidally distributed excitations with pin-ends. The mechanisms of dynamic indirect snapping of shallow arches are especially investigated under not only STEP function excitations but also under sinusoidal harmonic excitations, applied in the up-and-down direction. The dynamic nonlinear responses are obtained by the numerical integration of the geometrically nonlinear equation of motion, and examined by Fourier spectral analysis in order to get the frequency-dependent characteristics of the dynamic instability for various load levels.

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기하학적 비선형을 고려한 아치 구조물의 정현형 조화하중에 의한 동적 불안정 현상에 관한 연구 (Dynamic Instability of Arch Structures Considering Geometric Nonlinearity by Sinusoidal Harmonic Excitation)

  • 윤태영;김승덕
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2003년도 봄 학술발표회 논문집
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    • pp.69-76
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    • 2003
  • We investigate the fundamental mechanisms of the dynamic instability when the sinusoidal shaped arch structures subjected to sinusoidal harmonic excitation with pin-ends. In nonlinear dynamics, examining the characteristics of attractor on the phase plane and investigating the dynamic buckling process are very important thing for understanding why unstable phenomena are sensitively originated by various initial conditions. In this study, the direct and the indirect snap-buckling of shallow arches considering geometrical nonlinearity are investigated numerically and compared with the step excitation critical load.

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Optimal flammability and thermal buckling resistance of eco-friendly abaca fiber/ polypropylene/egg shell powder/halloysite nanotubes composites

  • Saeed Kamarian;Reza Barbaz-Isfahani;Thanh Mai Nguyen Tran;Jung-Il Song
    • Advances in nano research
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    • 제16권2호
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    • pp.127-140
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    • 2024
  • Upon direct/indirect exposure to flame or heat, composite structures may burn or thermally buckle. This issue becomes more important in the natural fiber-based composite structures with higher flammability and lower mechanical properties. The main goal of the present study was to obtain an optimal eco-friendly composite system with low flammability and high thermal buckling resistance. The studied composite consisted of polypropylene (PP) and short abaca fiber (AF) with eggshell powder (ESP) and halloysite clay nanotubes (HNTs) additives. An optimal base composite, consisting of 30 wt.% AF and 70 wt.% PP, abbreviated as OAP, was initially introduced based on burning rate (BR) and the Young's modulus determined by horizontal burning test (HBT) and tensile test, respectively. The effects of adding ESP to the base composite were then investigated with the same experimental tests. The results indicated that though the BR significantly decreased with the increase of ESP content up to 6 wt.%, it had a very destructive influence on the stiffness of the composite. To compensate for the damaging effect of ESP, small amount of HNT was used. The performance of OAP composite with 6 wt.% ESP and 3 wt.% HNT (OAPEH) was explored by conducting HBT, cone calorimeter test (CCT) and tensile test. The experimental results indicated a 9~23 % reduction in almost all flammability parameters such as heat release rate (HRR), total heat released (THR), maximum average rate of heat emission (MARHE), total smoke released (TSR), total smoke production (TSP), and mass loss (ML) during combustion. Furthermore, the combination of 6 wt.% ESP and 3 wt.% HNT reduced the stiffness of OAP to an insignificant amount by maximum 3%. Moreover, the char residue analysis revealed the distinct differences in the formation of char between AF/PP and AF/PP/ESP/HNT composites. Afterward, dilatometry test was carried out to examine the coefficient of thermal expansion (CTE) of OAP and OAPEH samples. The obtained results showed that the CTE of OAPEH composite was about 18% less than that of OAP. Finally, a theoretical model was used based on first-order shear deformation theory (FSDT) to predict the critical bucking temperatures of the OAP and OAPEH composite plates. It was shown that in the absence of mechanical load, the critical buckling temperatures of OAPEH composite plates were higher than those of OAP composites, such that the difference between the buckling temperatures increased with the increase of thickness. On the contrary, the positive effect of CTE reduction on the buckling temperature decreased by raising the axial compressive mechanical load on the composite plates which can be assigned to the reduction of stiffness after the incorporation of ESP. The results of present study generally stated that a suitable combination of AF, PP, ESP, and HNT can result in a relatively optimal and environmentally friendly composite with proper flame and thermal buckling resistance with no significant decline in the stiffness.

정현파 하중을 받는 EP(Elliptic Paraboliodal)쉘 구조물의 동적 불안정 특성 분석 (Analysis of Dynamic Instability Characteristic of EP Shell Structures under Sinusoidal Excitations)

  • 김승덕;김두리
    • 한국공간구조학회논문집
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    • 제10권1호
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    • pp.127-134
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    • 2010
  • 동적 불안정 좌굴현상에 관한 연구는 다소 발표되고 있으나 주기성을 가진 히중하에서의 동적 좌굴을 다룬 연구는 그리 많지 않은 편이다. 주기성을 가진 하중하에서의 거동은 스텝 하중하에서 거동과는 다르리라 예상된다. 본 논문에서는 동적 불안정의 기본 메커니즘을 파악하기 위하여 2자유도의 얕은 EP(Elliptic Paraboliodal)쉘이 정현파 하중을 받았을 때의 직접좌굴과 간접좌굴 현상을 조사한다. Newma가-$\beta$법에 의한 수치적분을 이용하여 비선형 운동 방정식의 변위응답을 구하고 얻어진 비선형 변위응답으로 위상곡면선의 끌개를 비교하고, FFT(Fast Fourier Transform)에 의한 연속 응답 스펙트럼을 구해 동적 불안정 특성에 관해서 분석한다. 그 결과 동적 좌굴하중은 구조물의 고유주기와 외력 탁월진동수와의 관계에 크게 영향을 받는다.

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