• 제목/요약/키워드: Critical Buckling Force

검색결과 65건 처리시간 0.027초

2층 탄성기초위에 놓인 불균일 테이퍼진 보의 진동과 안정성 (Vibration and Stability of Non-uniform Tapered Beams resting on a Two-Layered Elastic Foundation)

  • 류봉조;임경빈;이종원;한재섭
    • 소음진동
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    • 제9권4호
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    • pp.828-834
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    • 1999
  • The paper describes the vibration and the stability of nonuniform tapered beams resting on two-layered elastic foundations. The two-layered elastic foundations are constructed by discributed Winkler springs and shearing layers as ofen used in oil models. Governing equations are derived from energy experssions using Hamilton's Principle. The associated eigenvalue problems are solved to obtain the free vibration frequencies or the buckling loads. Numerical results for the vibration and the stability of beams under an axial force are presented and compared with other available solutions. Finally, vibration frequencies and critical forces are investigated for various thickness ratios, shear foundation parameters, Winkler foundation parameters, and boundary conditions of tapered beams.

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Effect of higher order terms of Maclaurin expansion in nonlinear analysis of the Bernoulli beam by single finite element

  • Zahrai, Seyed Mehdi;Mortezagholi, Mohamad Hosein;Mirsalehi, Maryam
    • Structural Engineering and Mechanics
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    • 제58권6호
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    • pp.949-966
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    • 2016
  • The second order analysis taking place due to non-linear behavior of the structures under the mechanical and geometric factors through implementing exact and approximate methods is an indispensible issue in the analysis of such structures. Among the exact methods is the slope-deflection method that due to its simplicity and efficiency of its relationships has always been in consideration. By solving the differential equations of the modified slope-deflection method in which the effect of axial compressive force is considered, the stiffness matrix including trigonometric entries would be obtained. The complexity of computations with trigonometric functions causes replacement with their Maclaurin expansion. In most cases only the first two terms of this expansion are used but to obtain more accurate results, more elements are needed. In this paper, the effect of utilizing higher order terms of Maclaurin expansion on reducing the number of required elements and attaining more rapid convergence with less error is investigated for the Bernoulli beam with various boundary conditions. The results indicate that when using only one element along the beam length, utilizing higher order terms in Maclaurin expansion would reduce the relative error in determining the critical buckling load and kinematic parameters in the second order analysis.

인장법에 의한 박판 판계 용접부의 잔류 응력 거동 특성에 관한 연구 (A Study on the Behavior Characteristics of Residual Stress of the Thin Butt Weldment by Mechanical Tensioning Method)

  • 김하근;김경규;신상범
    • 대한용접접합학회:학술대회논문집
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    • 대한용접접합학회 2010년도 춘계학술발표대회 초록집
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    • pp.57-57
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    • 2010
  • For thin panel welded structure, the various welding distortions were found due to the low resistance against welding deformation. Especially, buckling distortion induced in the thin panel welded structure produce severe problems related to cost in production stage and safety in service life. So, many researches including mechanical and thermal tensioning method for preventing the occurrence of buckling distortion in the production stage have been performed. The purpose of this study is to identify the behavior of longitudinal residual stress at the SA butt weldment with thin plate of 6mm thickness under tension load by 3 dimensional FEA. For it, mesh design for 3D FEA was constructed with 20 nodes brick element for butt weldment and 8 nodes shell element for base metal. According to FEA results, the longitudinal compressive strain inducing tensile residual stress at the butt weldment decreased. It was because the compressive thermal strain in way of weldment was reduced by tension load. The control effect of residual stress increased with an increase in tension load. So, if the amount of tension load applied to the weldment exceeds 1.5 times of longitudinal shrinkage force, the amount of longitudinal residual stress decreased below the critical value inducing the buckling distortion at the SA butt weldment. Its validity was verified by experiment.

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해저면에 설치된 가스관의 외부충격에 의한 좌굴 안전성 검토 (A Study on the Buckling Stability due to Lateral Impact of Gas Pipe Installed on the Sea-bed)

  • 박주신;이명수
    • 해양환경안전학회지
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    • 제28권2호
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    • pp.414-421
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    • 2022
  • 해저 석유와 가스 탐사가 점점 더 깊은 수심으로 진행되고 있으며, 해저 파이프라인은 고압 및 고온 조건에서 작동하는 것이 일반적이다. 온도 및 압력 차이로 인하여 파이프 축 방향 힘이 축적되는 현상이 있다. 이러한 현상은 파이프라인을 구속하는 해저면 효과 때문에 파이프라인은 횡 좌굴이 발생하게 된다. 온도가 증가하는 경우 축 방향의 압축 하중이 가해지며 이 하중이 임계 수준에 도달하면 파이프가 수직방향으로 움직이게 된다. 또는 파이프라인의 구조적 완전성을 위태롭게 할 수 있는 횡 방향 좌굴이 발생하는 상황에서, 작동 중 파이프라인의 구조적 안전함을 보장하기 위해 파이프라인의 상세 구조 강도평가가 수행되어야 한다. 본 연구에서는 해저면의 마찰 효과 및 재료의 열 수축/팽창을 고려한 비선형 구조해석을 상용 유한요소해석 프로그램인 ANSYS를 활용하여 검토하였으며, 외부충격에 의한 횡 방향 좌굴 안전성을 분석하였다. 본 연구의 결과를 통하여 수치 해석적 단순화된 분석 모델을 통하여 해저면의 효과를 고려한 조건에서의 실제 파이프라인의 붕괴 조건을 예측할 수 있다.

착색단고추 재배용 1-2W형 개조온실 구조의 안정성 검토 (Structural Safely Analysis of a Modified 1-2W Type Greenhouse Enhanced for Culturing Paprika)

  • 서원명;최만권;배용한;이종원;윤용철
    • 생물환경조절학회지
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    • 제17권3호
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    • pp.197-203
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    • 2008
  • 본 연구는 1-2W형 온실의 구조를 개조하여 착색단 고추 재배온실로 이용하고 있는 온실의 구조의 안정성을 검토하였다. SAP-2000에 의한 구조해석 결과 1-2W기본형 온실의 기둥을 1.2m높였을 경우, 구조물이 견딜 수 있는 한계적설심은 변화는 거의 없으나 한계풍속은 약 $26.0\sim41.0m/s$정도로서 기본형에 비하여 약 $3\sim18%$ 정도 감소하는 것으로 나타났다. 풍하중 작용시 변형도를 비롯하여 축방향력, 전단력, 휨모멘트 등의 최대단면력은 기본형이나 개조형에 관계없이 거의 유사한 경향으로 나타났으며, 최대단면력은 풍상측의 처마높이 부위에서 발생하는 것으로 나타났다. 설하중 작용시 변형도를 비롯하여 축방향력, 전단력, 휨모멘트 등의 최대단면력은 기본형이나 개조형에 관계없이 거의 유사한 경향으로 나타났으며, 축방향력을 제외한 최대단면력은 처마높이 부위에서 발생하였으며, 최대축방향력은 내측기둥에서 발생하였다. 한계적설심에 대한 내측기둥의 좌굴은 모두 안전한 것으로 나타났으며 세장비 또한 제한값 범위내에 들어 기본형 및 개조형 모두 만족하였다. 기초의 인발저항력과 지내력은 기본형과 개조형에 관계없이 모두 안전한 것으로 나타났다.

Effective length factor for columns in braced frames considering axial forces on restraining members

  • Mahini, M.R.;Seyyedian, H.
    • Structural Engineering and Mechanics
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    • 제22권6호
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    • pp.685-700
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    • 2006
  • The effective length factor is a familiar concept for practicing engineers and has long been an approach for column stability evaluations. Neglecting the effects of axial force in the restraining members, in the case of sway prevented frames, is one of the simplifying assumptions which the Alignment Charts, the conventional nomographs for K-Factor determination, are based on. A survey on the problem reveals that the K-Factor of the columns may be significantly affected when the differences in axial forces are taken into account. In this paper a new iterative approach, with high convergence rate, based on the general principles of structural mechanics is developed and the patterns for detection of the critical member are presented and discussed in details. Such facilities are not available in the previously presented methods. A constructive methodology is outlined and the usefulness of the proposed algorithm is illustrated by numerical examples.

축대칭 하중을 받는 Hybrid 케이블 돔의 Bifurcation 특성에 관한 연구 (A Study on the Bifurcation Characteristics of Hybrid Cable Domes under Axisymmetric Load)

  • 김승덕;백인성;김형석
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2003년도 가을 학술발표회 논문집
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    • pp.277-284
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    • 2003
  • One of important problem, in large space structure, is to overcome the self-weight of roof structure. This problem can be solved with using tension members effectively. Thus the rapid progress of hybrid structure, that makes effective use of the means of settling, has a good effect on realizing the large space. These systems of hybrid structure have the advantages of light weight and its own internal redundancy, but are occurred unstable phenomenon such as bifurcation or snap-through buckling, when the load level is come to the critical point. Among the hybrid structure, cable dome is shown the strong nonlinearity of unstable phenomenon in accordance with the external force. Therefore, the purpose of this study is to analyze and verify comparatively the unstable phenomenon of the Geiger and Flower type cable dome structures under axismmetric load.

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Free vibration of thermo-electro-mechanically postbuckled FG-CNTRC beams with geometric imperfections

  • Wu, Helong;Kitipornchai, Sritawat;Yang, Jie
    • Steel and Composite Structures
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    • 제29권3호
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    • pp.319-332
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    • 2018
  • This paper investigates the free vibration of geometrically imperfect functionally graded car-bon nanotube-reinforced composite (FG-CNTRC) beams that are integrated with two sur-face-bonded piezoelectric layers and subjected to a combined action of a uniform temperature rise, a constant actuator voltage and an in-plane force. The material properties of FG-CNTRCs are assumed to be temperature-dependent and vary continuously across the thick-ness. A generic imperfection function is employed to simulate various possible imperfections with different shapes and locations in the beam. The governing equations that account for the influence of initial geometric imperfection are derived based on the first-order shear deformation theory. The postbuckling configurations of FG-CNTRC hybrid beams are determined by the differential quadrature method combined with the modified Newton-Raphson technique, after which the fundamental frequencies of hybrid beams in the postbuckled state are obtained by a standard eigenvalue algorithm. The effects of CNT distribution pattern and volume fraction, geometric imperfection, thermo-electro-mechanical load, as well as boundary condition are examined in detail through parametric studies. The results show that the fundamental frequency of an imperfect beam is higher than that of its perfect counterpart. The influence of geometric imperfection tends to be much more pronounced around the critical buckling temperature.

車輪과 鐵路의 連成振動에 관한 硏究 (A Stusy on the Coupled Vibration of Train Wheel and Pail - Dynamic Characteristics of Train Wheel with the Stepped Thickness -)

  • 김광식;박민태
    • 대한기계학회논문집
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    • 제11권1호
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    • pp.63-73
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    • 1987
  • 본 논문에서는 차륜을 등방성, 균질 재료라고 가정하였으며 웨브와 림의 두께 가 서로 다른 환형원판으로써 내원주는 고정되고 외원주는 자유라고 가정하였다. 외 원주상의 한 점에서 철로와의 구름조건에 따라 변하는 반경방향의 반력에 의한 내평면 압축응력과 원판의 회전에 의한 내평면 압축응력을 고려하고, 두께가 변하는 웨브와 림의 경계면에서의 연속조건을 이용하여 차륜의 횡진동방정식을 세워서 Rayleigh-Ritz 방법으로 수치해석을 하여 고유진동수와 임계좌굴하중을 계산하고, 실제 차륜의 1/6크 기로 형상화하여 제작한 연성진동장치로 실험하여 이론치와 비교, 검토하였다.

The U-frame concept to assess the stability of chords of Warren-truss bridges with independent cross-beam decks

  • Wojciech Siekierski
    • Steel and Composite Structures
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    • 제52권1호
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    • pp.77-87
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    • 2024
  • Analytical methods for assessment of the out-of-plane buckling of unbraced top chords of truss bridges may look obsolete while comparing them to finite element analysis. However they are, usually, superior when rapid assessment is necessary. Analytical methods consider the top chord as a bar on elastic supports provided by bracing (Holt, Timoshenko). Correct assessment of the support elasticity (stiffness) is crucial. In the case of truss bridge spans of traditional structural layout (cross-beams at the truss chord nodes only), the elasticity may be set based on the analysis of the, so called, U-frame stiffness. Here the analyses consider the U-frame itself (a pair of verticals and a cross-beam) or the U-frame with adjacent diagonals or the pair of diagonals (in the absence of verticals) and the members of the bottom chord in the adjacent panels. For all the cases, the stability analysis of the chord as a bar in compression is necessary. Unfortunately, the method cannot be applied to contemporary truss bridges without verticals, that usually have independent cross-beam decks (the cross-beams attached to truss chords at their nodes and between them). This is the motivation for the analysis resulting in the method of setting the stiffness of the equivalent U-frame for the aforementioned truss bridges. Truss girders of both, gussetless and gusseted, joints are taken into account.