• 제목/요약/키워드: bending and buckling

검색결과 444건 처리시간 0.025초

Vibration and stability of initially stressed sandwich plates with FGM face sheets in thermal environments

  • Chen, Chun-Sheng;Liu, Fwu-Hsing;Chen, Wei-Ren
    • Steel and Composite Structures
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    • 제23권3호
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    • pp.251-261
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    • 2017
  • In this paper, thermal effect on the vibration and stability of initially stressed sandwich plates with functionally graded material (FGM) face sheets is analyzed. Material properties of FGM face sheet are graded continuously in the thickness direction. The variation of FGM properties assumes a simple power law distribution in terms of the volume fractions of the constituents. The governing equations of arbitrarily initially-stressed sandwich plates including the effects of transverse shear deformation and rotary inertia are derived. The initial stress is taken to be a combination of a uniaxial extensional stress and a pure bending stress in the examples. The eigenvalue problems are formed to study the vibration and buckling characteristics of simple supported initially stressed FGM/metal/FGM plates. The effects of volume fraction index, temperature rise, initial stress and layer thickness of metal on the natural frequencies and buckling loads are investigated. The results reveal that the volume fraction index, initial stresses and layer thickness of metal have significant influence on the vibration and stability of sandwich plates with FGM face sheets.

Porosity-dependent mechanical behaviors of FG plate using refined trigonometric shear deformation theory

  • Bekkaye, Tahar Hacen Lamine;Fahsi, Bouazza;Bousahla, Abdelmoumen Anis;Bourada, Fouad;Tounsi, Abdeldjebbar;Benrahou, Kouider Halim;Tounsi, Abdelouahed;Al-Zahrani, Mesfer Mohammad
    • Computers and Concrete
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    • 제26권5호
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    • pp.439-450
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    • 2020
  • In this research, bending and buckling analyses of porous functionally graded (FG) plate under mechanical load are presented. The properties of the FG plate vary gradually across the thickness according to power-law and exponential functions. The material imperfection is considered to vary depending to a logarithmic function. The plate is modeled by a refined trigonometric shear deformation theory where the use of the shear correction factor is unnecessary. The governing equations of the FG plate are derived via virtual work principle and resolved via Navier solutions. The accuracy of the present model is checked by comparing the obtained results with those found in the literature. The various effects influencing the stresses, displacements and critical buckling loads of the plate are also examined and discussed in detail.

Solution method for the classical beam theory using differential quadrature

  • Rajasekaran, S.;Gimena, L.;Gonzaga, P.;Gimena, F.N.
    • Structural Engineering and Mechanics
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    • 제33권6호
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    • pp.675-696
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    • 2009
  • In this paper, a unified solution method is presented for the classical beam theory. In Strength of Materials approach, the geometry, material properties and load system are known and related with the unknowns of forces, moments, slopes and deformations by applying a classical differential analysis in addition to equilibrium, constitutive, and kinematic laws. All these relations are expressed in a unified formulation for the classical beam theory. In the special case of simple beams, a system of four linear ordinary differential equations of first order represents the general mechanical behaviour of a straight beam. These equations are solved using the numerical differential quadrature method (DQM). The application of DQM has the advantages of mathematical consistency and conceptual simplicity. The numerical procedure is simple and gives clear understanding. This systematic way of obtaining influence line, bending moment, shear force diagrams and deformed shape for the beams with geometric and load discontinuities has been discussed in this paper. Buckling loads and natural frequencies of any beam prismatic or non-prismatic with any type of support conditions can be evaluated with ease.

Studies on T-Shaped composite columns consist of multi separate concrete-filled square tubular steel sections under eccentric axial load

  • Rong, Bin;You, Guangchao;Zhang, Ruoyu;Feng, Changxi;Liu, Rui
    • Steel and Composite Structures
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    • 제22권2호
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    • pp.217-234
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    • 2016
  • In order to investigate mechanical properties and load-bearing capacity of T-shaped Concrete-Filled Square Steel Tubular (TCFST) composite columns under eccentric axial load, three T-shaped composite columns were tested under eccentric compression. Experimental results show that failure mode of the columns under eccentric compression was bending buckling of the whole specimen, and mono column performs flexural buckling. Specimens behaved good ductility and load-bearing capacity. Nonlinear finite element analysis was also employed in this investigation. The failure mode, the load-displacement curve and the ultimate bearing capacity of the finite element analysis are in good agreement with the experimental ones. Based on eccentric compression test and parametric finite element analysis, the calculation formula for the equivalent slenderness ratio was proposed and the bearing capacity of TCFST composite columns under eccentric compression was calculated. Results of theoretical calculation, parametric finite element analysis and eccentric compression experiment accord well with each other, which indicates that the theoretical calculation method of the bearing capacity is advisable.

구조시스템에 따른 케이블 돔의 정적 불안정거동 특성에 관한 연구 (A Study of Static Unstable Behavioral Characteristics of Cable Dome Structures according to the Structural System)

  • 조인기;김형석;김승덕;강문명
    • 한국공간정보시스템학회:학술대회논문집
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    • 한국공간정보시스템학회 2004년도 춘계 학술발표회 논문집 제1권1호(통권1호)
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    • pp.131-138
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    • 2004
  • The cable structure is a kind of ductile structural system using the tension cable and compression column as a main element. From mechanical characteristics of the structural material, it is profitable to be subjected to the axial forces than bending moment or shear forces. And we haweto consider the local buckling when it is subjected to compression forces, but tension member can be used until the failure strength. So we can say that the tension member is the most excellent structural member. Cable dome structures are made up of only the tension cable and compression column considering these mechanical efficiency and a kind of structural system. In this system, the compression members are connected by using tension members, not connected directly each other. Also, this system is lightweight and easy to construct. But, the cable dome structural system has a danger of global buckling as external load increases. That is, as the axisymmetric structure is subjected to the axisymmetric load, the unsymmetric deformation mode is happened at some critical point and the capacity of the structure is rapidly lowered by this reason. This phenomenon Is the bifurcation and we have to reflect this in the design process of the large space structures. In this study, We investigated the nonlinear unstable phenomenon of the Geiger, Zetlin and Flower-type cable dome.

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On the static and dynamic stability of beams with an axial piezoelectric actuation

  • Zehetner, C.;Irschik, H.
    • Smart Structures and Systems
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    • 제4권1호
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    • pp.67-84
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    • 2008
  • The present contribution is concerned with the static and dynamic stability of a piezo-laminated Bernoulli-Euler beam subjected to an axial compressive force. Recently, an inconsistent derivation of the equations of motions of such a smart structural system has been presented in the literature, where it has been claimed, that an axial piezoelectric actuation can be used to control its stability. The main scope of the present paper is to show that this unfortunately is impossible. We present a consistent theory for composite beams in plane bending. Using an exact description of the kinematics of the beam axis, together with the Bernoulli-Euler assumptions, we obtain a single-layer theory capable of taking into account the effects of piezoelectric actuation and buckling. The assumption of an inextensible beam axis, which is frequently used in the literature, is discussed afterwards. We show that the cited inconsistent beam model is due to inadmissible mixing of the assumptions of an inextensible beam axis and a vanishing axial displacement, leading to the erroneous result that the stability might be enhanced by an axial piezoelectric actuation. Our analytical formulations for simply supported Bernoulli-Euler type beams are verified by means of three-dimensional finite element computations performed with ABAQUS.

비대칭(非對稱) 박벽(薄壁)보 요소(要素)를 이용(利用)한 원형(圓形) 아치의 횡좌굴(橫挫屈) 해석(解析) (Lateral-Torsional Buckling Analysis of the Circular Arches Using Unsymmetric Thin-Walled Beam Elements)

  • 김문영
    • 대한토목학회논문집
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    • 제13권5호
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    • pp.39-52
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    • 1993
  • 비대칭단면(非對稱斷面)을 갖는 박벽공간(薄壁空間)뼈대와 원형(圓形)아아치의 휨-비틂 좌굴해석(挫屈解析)을 수행하기 위하여, 가상(假想)일의 원리(原理)를 이용한 공간(空間)뼈대요소(要素)의 접선강도(接線剛度)매트릭스가 유도(誘導)된다. 양단(兩端) 구속(狗束)된 비틂을 무시(無視)하는 경우와 구속(狗束)된 비틂을 고려(考慮)하는 경우 각각에 대하여 semitangential rotation and moment에 대응(對應)하는 박벽공간(薄壁空間) 뼈대요소(要素)의 탄성(彈性) 및 기하적(幾何的)인 강도(剛度)매트릭스를 산정한다. 이 때, 휨을 받는 평면(平面)보의 처짐함수를 공간(空間) 뼈대요소(要素)의 축방향(軸方向) 및 횡방향(橫方向) 처짐과 비틂회전각에 대한 형상함수(形狀函數)로 사용한다. 순수휨과 균일한 압축력을 받는 도형(圖形)아아치의 횡좌굴문제(橫挫屈問題)를 해석(解析)하여 본(本) 연구(硏究)에 의한 해석결과(解析結果)과 문헌(文獻)의 엄밀해(嚴密解)에 의한 결과들을 비교(比較), 분석(分析)하여 본(本) 연구(硏究)에서 제시한 이론(理論)의 정당성(正當性)을 입증(立證)한다.

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반 구형 각의 좌굴현상에 대한 응력해석 및 영향인자에 관한 연구 (A Study on the Stress Analysis and Parameters of Bucking in Spherical Shell)

  • 김영수;안두성
    • 수산해양기술연구
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    • 제21권2호
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    • pp.142-150
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    • 1985
  • 1. 반구형 각의 분포 및 집중하중에 의한 좌굴응력 해석은 변형된 각의 형상에 따라 타원체 각의 응력으로 해석함이 타당하다. 2. 일정 한계이상의 형상계수를 갖는 반 구형각에 대하여서는 재료상수를 형상계수의 승수로 고려한 수정된 임계좌굴 하중으로 탄소성 좌굴을 판정함이 더 양호한 결을 준다. 3. 탄소성 좌굴에 있어서 소모된 소성변형 에너지를 계산하기 위하여 항성변형 에너지를 계산하기 위하여 항상선를 따르는 에너지법을 이용하면 양호한 결과를 얻을 수 있다.

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Investigation of stiffening scheme effectiveness towards buckling stability enhancement in tubular steel wind turbine towers

  • Stavridou, Nafsika;Efthymiou, Evangelos;Gerasimidis, Simos;Baniotopoulos, Charalampos C.
    • Steel and Composite Structures
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    • 제19권5호
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    • pp.1115-1144
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    • 2015
  • Current climate conditions along with advances in technology make further design and verification methods for structural strength and reliability of wind turbine towers imperative. Along with the growing interest for "green" energy, the wind energy sector has been developed tremendously the past decades. To this end, the improvement of wind turbine towers in terms of structural detailing and performance result in more efficient, durable and robust structures that facilitate their wider application, thus leading to energy harvesting increase. The wind tower industry is set to expand to greater heights than before and tapered steel towers with a circular cross-section are widely used as more capable of carrying heavier loads. The present study focuses on the improvement of the structural response of steel wind turbine towers, by means of internal stiffening. A thorough investigation of the contribution of stiffening rings to the overall structural behavior of the tower is being carried out. These stiffening rings are placed along the tower height to reduce local buckling phenomena, thus increasing the buckling strength of steel wind energy towers and leading the structure to a behavior closer to the one provided by the beam theory. Additionally to ring stiffeners, vertical stiffening schemes are studied to eliminate the presence of short wavelength buckles due to bending. For the purposes of this research, finite element analysis is applied in order to describe and predict in an accurate way the structural response of a model tower stiffened by internal stiffeners. Moreover, a parametric study is being performed in order to investigate the effect of the stiffeners' number to the functionality of the aforementioned stiffening systems and the improved structural behavior of the overall wind converter.

폐단면리브로 보강된 일축압축을 받는 복합적층판의 국부좌굴강도 증가효과 (Increasing Effect in Local Buckling Strength of Laminated Composite Plates Stiffened with Closed-section Ribs under Uniaxial Compression)

  • 황수희;김유식;최병호
    • 복합신소재구조학회 논문집
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    • 제4권2호
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    • pp.39-44
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    • 2013
  • This study is aimed to examine the influence of the rotational stiffness of U-shaped ribs on the local buckling behaviors of laminated composite plates. Applying the orthotropic plates with eight layers of the layup $[(0^{\circ})4]s$ and $[(0^{\circ}/90^{\circ})2]s$, 3-dimensional finite element models for the U-rib stiffened plates were setup by using ABAQUS and then a series of eigenvalue analyses were conducted. There is a need to develope a simple design equation to establish the rotational stiffness effect, which could be easily quantified by comparing the theoretical critical stress equation for laminated composite plates with elastic restraints based on the Classical laminated plate theory. Through the parametric numerical studies, it is confirmed that there should clearly exist an increasing effect of local plate buckling strength due to the rotational stiffness by closed-section ribs. An applicable coefficient for practical design should be verified and proposed for future study. This study will contribute to the future study for establishing an increasing coefficient for the design strength and optimum design of U-rib stiffened plates.