• Title/Summary/Keyword: 동적 좌굴

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Initial Imperfection Sencitivity in Stiffened Plates (보강판의 초기결함 민감성 연구)

  • 김천욱;원종진
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.8 no.3
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    • pp.264-273
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    • 1984
  • 초기경향이 있는 보강평판의 비선형 운동 방정식을 Galerkin method에 의하여 유도하였다. Runge Kutta method를 사용하여 step-load를 받고 있는 보강평판의 동적 좌굴문제의 수치해를 구하였다. 정적 좌굴실험에 의하여 좌굴하중을 결정함에 있어 동적 해석법을 응용할 수 있음을 입증하였으며, step-load를 받는 보강평판의 동적 좌굴해석으로 정적좌굴의 초기결함 민감성을 해 석하였다. 보강평판의 초기결함민강성은 평판보다 훨씬 낮으며 보강재의 편심비가 높을수록 민감 성은 둔화된다.

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

  • Kim, Seung-Deog;Kim, Doo-Ri
    • Journal of Korean Association for Spatial Structures
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    • v.10 no.1
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    • pp.127-134
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    • 2010
  • The dynamic instability for snapping phenomena has been studied by many researchers. Few paper deal with the dynamic bucking under the load with periodic characteristics, and the behavior under periodic excitation is expected the different behavior against STEP excitation. We investigate the fundamental mechanisms of dynamic instability when shallow EP(Elliptic Paraboliodal) shell of two degree of freedom are subjected to sinusoidal excitation with direct snapping and indirect snapping. By using Newmark-$\beta$ method, we can get the nonlinear response, and characteristics of the dynamic instability through the running response spectrum by FFT(fast Fourier Transform) and attractors are compared in the phase plane. Dynamic buckling loads are strongly influenced by the relationships between the natural frequency of structures and the dominant frequency of incident excitations.

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

  • Kim, Seung Deog;Kim, Hyung Seok;Kang, Moon Myung
    • Journal of Korean Society of Steel Construction
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    • v.13 no.5
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    • pp.599-608
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    • 2001
  • Many papers which deal with the dynamic instability of shell-like structures under the STEP load has been published but there have been few papers related to the dynamic instability of hybrid cable domes. And also there are a few researches which treat the essential phenomenon of the dynamic buckling using the phase for investigating occurrence of chaos. In this study the indirect buckling of hybrid cable domes considering geometric nonlinearity are investigated numerically and compared it with the static critical load The dynamic critical loads are determined by the numerical integration of the geometric nonlinear equation of motion and the mechanism of the indirect buckling is examined by using the phase curves.

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

  • Kim, Seung-Deog;Kim, Doo-Ri
    • Journal of Korean Association for Spatial Structures
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    • v.10 no.1
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    • pp.119-126
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    • 2010
  • The some papers which deal with the dynamic instability for shell-like structures under the dynamic excitation 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. In nonlinear dynamic, 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 indirect snapping of shallow EP shell considering geometrical nonlinearity are investigated by Galerkin method numerically. This finding out the characteristic of the dynamic instability through the phases curves and running response spectrum.

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Dynamic Buckling Characteristics of Arch Structures by Running Response Spectrum (연속 응답 스펙트럼 분석에 의한 아치 구조물의 동적 좌굴 특성)

  • Kim, Seung-Deog;Yun, Tae-Young
    • Journal of Korean Association for Spatial Structures
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    • v.4 no.2 s.12
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    • pp.81-88
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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 i the up-and-down direction. The dynamic nonlinear responses are obtained by the numerical integration of the geometrically nonlinear equation of motion. And using this analyze characteristics of the dynamic instability through the running response spectrum by FFT(Fast Fourier Transform).

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Dynamic Stability of Orthotropic Cylindrical Shells under Axial Compression (압축하중을 받는 직교이방성 원통셸의 동적 안정성)

  • Kim, C. W.;;Sung Y. Lu
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.7 no.1
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    • pp.73-82
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    • 1983
  • 초기결함을 가진 직교이방성원통셸이 축방향스텝하중을 받은 때의 동적좌굴을 연구하였다. 원통 쉘의 운동방정식은 비선형 Donnell 방정식을 사용하였으며 변위식에는 6개항을 채용하였다. 좌굴 조건은 원통셸의 수직변위와 길이변화의 급격한 변화로써 정의하였다. 좌굴모우드형상은 초기결 함과 쉘재료의 이방성에 따라 달라짐은 발견하였고 좌굴강도는 초기결함의 증가에 따라 크게 감 소된다.

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

  • 김승덕;박지윤;권택진
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.3
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    • pp.417-426
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    • 1999
  • The some 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. 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 static critical load.

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Parametric Study on Dynamic Stability Behaviors of Beck's Column considering Shear Deformation and Damping Effects (전단변형 및 감쇠효과를 고려한 비보존력을 받는 외팔기둥의 동적 안정성거동에 대한 매개변수연구)

  • Lee, Jun-Seok;Kim, Nam-Il;Kim, Moon-Young
    • Journal of the Earthquake Engineering Society of Korea
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    • v.9 no.6 s.46
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    • pp.1-12
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    • 2005
  • For a shear-deformable beam-column element subjected io non-conservative forces, equations of motion and a finite element formulation are presented applying extended Hamilton's principle. The influence of non-conservative force's direction parameter, internal and external damping forces, and shear deformation and rotary inertia effects on divergence and flutter loads of Beck's columns are intensively investigated based on element stiffness, damping and mass matrixes derived for the non-conservative system.

Dynamic Instability Analysis of Euler Column under Impact Loading (충격하중을 받는 Euler기둥의 동적좌굴 해석)

  • 김형열
    • Computational Structural Engineering
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    • v.9 no.3
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    • pp.187-197
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    • 1996
  • An explicit direct time integration method based solution algorithm is presented to predict dynamic buckling response of Euler column. On the basis of large deflection beam theory, a plane frame finite element is formulated and implemented into the solution algorithm. The element formulation takes into account geometrical nonlinearity and overall buckling of steel structural frames. The solution algorithm employs the central difference method. Using the computer program developed by the author, dynamic instability behavior of Euler column under impact loading is investigated by considering the time variation of load, load magnitude, and load duration. The free vibration of Euler column caused by a short duration impact load is also studied. The validity and efficiency of the present formulation and solution algorithm are verified through illustrative numerical examples.

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Static, Dynamic and Buckling Analyses of a Power Transmission Tower under Wind Load (풍하중을 받는 송전철탑의 정적, 동적 및 좌굴해석)

  • Jung, Hyung-Jo;Shin, Dong-Seung;Moon, Byoung-Wook;Park, Ji-Hun;Lee, Sung-Kyung;Min, Kyung-Won
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.19 no.4 s.74
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    • pp.369-374
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    • 2006
  • This paper describes dynamic characteristics of a power transmission tower consisting of lots of power lines and insulators. A numerical 3D modeling for the static, dynamic and buckling analyses of the power transmission tower is presented considering the case when the power lines are cut. Eigenvalue analysis indicates that the transmission tower shows different behavior comparing to usual structures governed by several low modes. The transmission tower is governed by lots of modes. It is verified that the transmission tower is structurally safe against the static wind and buckling loads. But the structural and buckling safety is not guaranteed when all power lines are cut, which comes to collapse the transmission tower. Further study is in need to overcome such case. Wind dynamic analysis shows that fluctuating wind loads increase the response of the tower.