• 제목/요약/키워드: Euler buckling

검색결과 99건 처리시간 0.023초

On snap-buckling of FG-CNTR curved nanobeams considering surface effects

  • Zhang, Yuan Yuan;Wang, Yu X.;Zhang, Xin;Shen, Huo M.;She, Gui-Lin
    • Steel and Composite Structures
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    • 제38권3호
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    • pp.293-304
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    • 2021
  • The aim of this paper is to analyze the nonlinear bending of functionally graded (FG) curved nanobeams reinforced by carbon nanotubes (CNTs) in thermal environment. Chen-Yao's surface elastic theory and geometric nonlinearity are also considered. The nanobeams are subjected to uniform loadings and placed on three-parameter substrates. The Euler-Lagrange equations are employed to deduce the equations of equilibrium. Then, the asymptotic solutions and boundary value problems are analytically determined by utilizing the two-step perturbation technique. Finally, the effects of the surface parameters, geometric factors, foundation stiffness, volume fraction, thermal effects and layout type of CNTs on the nonlinear bending of the nanobeams are discussed.

Thermal-magneto-mechanical stability analysis of single-walled carbon nanotube conveying pulsating viscous fluid

  • R. Selvamani;M. Mahaveer Sree Jayan;Marin Marin
    • Coupled systems mechanics
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    • 제12권1호
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    • pp.21-40
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    • 2023
  • In thisstudy, the vibration problem ofthermo elastic carbon nanotubes conveying pulsating viscous nano fluid subjected to a longitudinal magnetic field is investigated via Euler-Bernoulli beam model. The controlling partial differential equation of motion is arrived by adopting Eringen's non local theory. The instability domain and pulsation frequency of the CNT is obtained through the Galerkin's method. The numerical evaluation of thisstudy is devised by Haar wavelet method (HWM). Then, the proposed model is validated by analyzing the critical buckling load computed in presentstudy with the literature. Finally, the numerical calculation ofsystem parameters are shown as dispersion graphs and tables over non local parameter, magnetic flux, temperature difference, Knudsen number and viscous parameter.

끝단질량과 종동력을 가진 크랙 외팔 보의 안정성 해석 (Stability Analysis of Cracked Cantilever Beam with Tip Mass and Follower Force)

  • 손인수;윤한익;안태수
    • 한국소음진동공학회논문집
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    • 제17권7호
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    • pp.605-610
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    • 2007
  • In this paper a dynamic behavior(natural frequency) of a cracked cantilever beam subjected to follower force is presented. In addition, an analysis of the flutter and buckling instability of a cracked cantilever beam subjected to a follower compressive load is presented. Based on the Euler-Bernoulli beam theory, the equation of motion can be constructed by using the Lagrange's equation. The vibration analysis on such cracked beam is conducted to identify the critical follower force for flutter instability based on the variation of the first two resonant frequencies of the beam. Besides, the effect of the crack's intensity and location on the flutter follower force is studied. The crack section is represented by a local flexibility matrix connecting two undamaged beam segments. The crack is assumed to be in the first mode of fracture and to be always opened during the vibrations.

CONTACT PRESSURE DISTRIBUTION OF RADIAL TIRE IN MOTION WITH CAMBER ANGLE

  • 김석남
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 추계학술대회논문집A
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    • pp.387-394
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    • 2000
  • Theoretical and experimental study is conducted on the contact pressure distribution of a radial tire in motion under various camber angles. Tire construction is modelled by a spring bedded elastic ring, consisted of sidewall springs and a composite belt ring. The contact area is assumed to be a trapezoidal shape varying with camber angles and weighted load. The basic equation in a quasi-static form is derived for the deformation of a running belt with a constant velocity by the aid of Lagrange-Euler transformation. Galerkin's method and stepwise calculation are applied for solving the basic equation and the mechanical boundary condition along both sides of the contact belt part subjected to shearing forces transmitted from the sidewall spring. Experimental results on the contact pressure, measured by pressure sensors embedded in the surface of the drum tester, correspond well with the calculated ones for the test tire under various camber angles, running velocities and weighted loads. These results indicate that a buckling phenomenon of the contact belt in the widthwise direction occurs due to the effect of camber angle.

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마이크로 유전 알고리즘을 이용한 트러스 구조물의 단면 및 형상 최적화 (Size and Shape Optimization of Truss Structures using Micro Genetic Algorithm)

  • 김대환;윤병욱;이재홍
    • 한국강구조학회 논문집
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    • 제23권4호
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    • pp.465-474
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    • 2011
  • 본 연구는 마이크로 유전 알고리즘을 이용하여 트러스 구조물의 단면적 및 형상을 최적화 하였다. 구조물의 최소 물량을 얻기 위하여 허용 응력 및 좌굴 응력과 같은 여러 제약조건이 고려되었으며, 이를 통해 트러스 구조물의 최적 설계 시 최적화된 부재의 단면적과 구조물의 좌표를 얻었다. 트러스 구조물의 최적 설계에 적용가능 한 제안된 기법을 이용하여 다양한 예제들을 선정하여 최적화를 수행하였으며, 기존 연구 결과와 비교를 통해 본 마이크로 유전 알고리즘의 효과를 입증하였다.

Optimum design of shape and size of truss structures via a new approximation method

  • Ahmadvand, Hosein;Habibi, Alireza
    • Structural Engineering and Mechanics
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    • 제76권6호
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    • pp.799-821
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    • 2020
  • The optimum design of truss structures is one of the significant categories in structural optimization that has widely been applied by researchers. In the present study, new mathematical programming called Consistent Approximation (CONAP) method is utilized for the simultaneous optimization of the size and shape of truss structures. The CONAP algorithm has already been introduced to optimize some structures and functions. In the CONAP algorithm, some important parameters are designed by employing design sensitivities to enhance the capability of the method and its consistency in various optimum design problems, especially structural optimization. The cross-sectional area of the bar elements and the nodal coordinates of the truss are assumed to be the size and shape design variables, respectively. The displacement, allowable stress and the Euler buckling stress are taken as the design constraints for the problem. In the proposed method, the primary optimization problem is replaced with a sequence of explicit sub-problems. Each sub-problem is efficiently solved using the sequential quadratic programming (SQP) algorithm. Several truss structures are designed by employing the CONAP method to illustrate the efficiency of the algorithm for simultaneous shape and size optimization. The optimal solutions are compared with some of the mathematical programming algorithms, the approximation methods and metaheuristic algorithms those reported in the literature. Results demonstrate that the accuracy of the optimization is improved and the convergence rate speeds up.

무시멘트 콘크리트를 활용한 강판콘크리트 구조의 유효좌굴길이 계수 분석에 관한 연구 (A Study on the Effective Length Factor for Steel Plate-Concrete Structures using Cementless Concrete)

  • 한명환;최병정
    • 한국산학기술학회논문지
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    • 제19권5호
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    • pp.661-671
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    • 2018
  • 강판 콘크리트구조에 대한 국내 연구는 대체적으로 강도가 큰 원전 구조물에 초점을 맞추고 있다. 현재 안전성과 시공성 측면에서 유리한 SC구조는 특수구조물에만 한정되어 적용되어 왔으며, 최근 구조적으로 장점이 명확한 SC구조에 대해 일반건축물에 적용하기 위한 연구가 진행되고 있다. 본 연구에서는 SC 구조를 일반 건축물에 적용하기 위한 기초 연구로서 특히 SC 구조에서 중요한 요소인 콘크리트의 시멘트를 고로슬래그로 대체하여 친환경성에 부합한 구조체를 계획하기 위해 무시멘트 콘크리트를 적용한 SC 구조의 기본 설계 정보를 제시하고자 한다. 이 논문에서는 압축 특성, 중심 압축 하중을 받는 유효좌굴길이계수에 대해 연구하였다. 유효좌굴길이계수를 산정하기 위해서 판 이론을 적용하지 않고 오일러 기둥 이론으로 계산하였다. 유효좌굴길이계수를 계산할 때 필요한 변형률을 측정하여 강판의 항복강도, 강판의 좌굴 및 콘크리트가 파단되는 시점에서의 유효좌굴길이계수를 계산하였다. 또한, 세장비(B/t)를 변수로 최대 압축강도가 국외 및 국내 기준식에 부합하는 지를 검토하였으며 기둥 이론을 적용하여 실험체의 좌굴을 분석하고 측정된 강판의 변형률을 선택하는 방법에 따라 유효좌굴길이계수를 분석하여 기준식에서 제시하는 값과 비교하였다.

구조물 형상최적화를 위한 근사해석법에 관한 연구 (An Approximation Method for Configuration Optimization of Structures)

  • 장동진;한상훈
    • 대한토목학회논문집
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    • 제10권3호
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    • pp.7-17
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    • 1990
  • 본 연구에서는 트러스구조와 아치구조의 부재단면적 및 기하형상을 동시에 최적화하는 효율적인 근사화 방법을 제안하고자 한다. 설계과정 중, 트러스구조에 대해서는 응력제약조건 및 좌굴응력제약조건을 만족하도록 하고, 아치구조에 대해서는 조합응력 제약조건을 만족하도록 하였다. 최적화에 필요한 구조해석의 수를 줄이기 위해 Force Approximation Method를 사용하였다. 초기치에 대한 유한요소해석이 수행된 다음 설계변수인 부재단면적과 절점좌표들에 대한 부재단면력들의 경사를 계산하였고, 그 경사정보를 이용 부재단면력들의 1차 Taylor급수 전개에 근거를 둔 근사구조 해석을 형성하였다. 이동한계법을 적용하였으며, 근사구조해석으로 부터 얻어진 정보에 의해 구조물의 체적을 최소화 하였다. 형상최적화를 위한 제안된 본 방법의 효율성과 신뢰성을 보이기 위해 수치예를 들어 다른 방법들에 의한 결과와 비교하였다. 그 결과 구조해석의 수를 크게 감소시킬 수 있었으며, 구조물 형상최적화에 매우 효율적으로 적용될 수 있음을 알게 되었다.

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Confinement effectiveness of Timoshenko and Euler Bernoulli theories on buckling of microfilaments

  • Taj, Muhammad;Khadimallah, Mohamed A.;Hussain, Muzamal;Mahmood, Shaid;Safeer, Muhammad;Al Naim, Abdullah F.;Ahmad, Manzoor
    • Advances in concrete construction
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    • 제11권1호
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    • pp.81-88
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    • 2021
  • Rice Husk Ash (RHA) geopolymer paste activated by sodium aluminate were characterized by X-ray diffractogram (XRD), scanning electron microscope (SEM), energy dispersion X-Ray analysis (EDAX)and fourier transform infrared spectroscopy (FTIR). Five series of RHA geopolymer specimens were prepared by varying the Si/Al ratio as 1.5, 2.0, 2.5, 3.0 and 3.5. The paper focuses on the correlation of microstructure with hardened state parameters like bulk density, apparent porosity, sorptivity, water absorption and compressive strength. XRD analysis peaks indicates quartz, cristobalite and gibbsite for raw RHA and new peaks corresponding to Zeolite A in geopolymer specimens. In general, SEM micrographs show interconnected pores and loosely packed geopolymer matrix except for specimens made with Si/Al of 2.0 which exhibited comparatively better matrix. Incorporation of Al from sodium aluminate were confirmed with the stretching and bending vibration of Si-O-Si and O-Si-O observations from the FTIR analysis of geopolymer specimen. The dense microstructure of SA2.0 correlate into better performance in terms of 28 days maximum compressive strength of 16.96 MPa and minimum for porosity, absorption and sorptivity among the specimens. However, due to the higher water demand to make the paste workable, the value of porosity, absorption and sorptivity were reportedly higher as compared with other geopolymer systems. Correlation regression equations were proposed to validate the interrelation between physical parameters and mechanical strength. RHA geopolymer shows comparatively lower compressive strength as compared to Fly ash geopolymer.