• 제목/요약/키워드: Uniform Flexural Stiffness

검색결과 18건 처리시간 0.025초

Stability of multi-step flexural-shear plates with varying cross-section

  • Xu, J.Y.;Li, Q.S.
    • Structural Engineering and Mechanics
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    • 제16권5호
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    • pp.597-612
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    • 2003
  • In this paper, multi-story buildings with shear-wall structures and with narrow rectangular plane configuration are modeled as a multi-step flexural-shear plate with varying cross-section for buckling analysis. The governing differential equation of such a plate is established. Using appropriate transformations, the equation is reduced to analytically solvable equations by selecting suitable expressions of the distribution of stiffness. The exact solutions for buckling of such a one-step flexural-shear plate with variable stiffness are derived for several cases. A new exact approach that combines the transfer matrix method and closed from solution of one-step flexural-shear plate with continuously varying stiffness is presented for stability analysis of multi-step non-uniform flexural-shear plate. A numerical example shows that the present methods are easy to implement and efficient.

Exact dynamic stiffness matrix for a thin-walled beam-column of doubly asymmetric cross-section

  • Shirmohammadzade, A.;Rafezy, B.;Howson, W.P.
    • Structural Engineering and Mechanics
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    • 제38권2호
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    • pp.195-210
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    • 2011
  • Bernoulli-Euler beam theory is used to develop an exact dynamic stiffness matrix for the flexural-torsional coupled motion of a three-dimensional, axially loaded, thin-walled beam of doubly asymmetric cross-section. This is achieved through solution of the differential equations governing the motion of the beam including warping stiffness. The uniform distribution of mass in the member is also accounted for exactly, thus necessitating the solution of a transcendental eigenvalue problem. This is accomplished using the Wittrick-Williams algorithm. Finally, examples are given to confirm the accuracy of the theory presented, together with an assessment of the effects of axial load and loading eccentricity.

강성계수가 복합재 광학판 성능에 미치는 영향성 연구 (Influence of Stiffness Coefficients on Optical Performance in Composite Optical Substrate)

  • 김경표
    • 한국산학기술학회논문지
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    • 제18권11호
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    • pp.762-769
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    • 2017
  • 준등방성 라미네이트내의 확장강성 계수는 방사방향으로균일하지만, 굽힘강성 계수는 플라이 적층순서에 의해 방사방향으로 변화한다. 이 논문에서는 복합재 광학에서 사용되는 단방향섬유 복합재료와 무작위로 분포된 단섬유 복합재료로 이루어진 세 가지 유형의 준 등방성 라미네이트 반사경내의 굽힘강성 계수의 방사방향의 변화량을 비교하였다. 단섬유 복합재료 반사경 방사방향의 확장강성 계수와 굽힘강성 계수는 균일하게 나타나는 반면, 단방향섬유 복합재료 반사경의 경우에는 굽힘강성 계수의 방사방향으로의변화량이 11%에서 많게는 26%까지 변화하는 것으로 나타났다. 또한 강성계수의 차이로 인한 굽힘-비틀림-커플링 효과 등 강성 민감도 또한 큰 것으로 나타났다. 이러한 요소는 정밀성이 요구되는 광학분야에 복합재 반사경의 적용을 어렵게 할 커다란 문제점으로 인식되며, 이러한 복합재료의 이방성 성질로 인한 필연적인방사형 방향으로의 강성계수의 변화 및 그 영향성을 줄이기 위해서는 단섬유나 무작위로 공간에 흩어져있는 섬유 복합재료를 사용하는 것이 복합재 반사경내에 존재하는 굽힘강성 계수의 변화를 제거하는 하나의 방법이다.

On transverse matrix cracking in composite laminates loaded in flexure under transient hygrothermal conditions

  • Khodjet-Kesba, M.;Benkhedda, A.;Adda Bedia, E.A.;Boukert, B.
    • Structural Engineering and Mechanics
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    • 제67권2호
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    • pp.165-173
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    • 2018
  • A simple predicted model using a modified Shear-lag method was used to represent the moisture absorption effect on the stiffness degradation for $[0/90]_{2s}$ composite laminates with transverse cracks and under flexural loading. Good agreement is obtained by comparing the prediction model and experimental data published by Smith and Ogin (2000). The material properties of the composite are affected by the variation of temperature and moisture absorption. The transient and non-uniform moisture concentration distribution give rise to the transient elastic moduli of cracked composite laminates. The hygrothermal effect is taken into account to assess the changes in the normalised axial and flexural modulus due to transverse crack. The obtained results represent well the dependence of the stiffness properties degradation on the cracks density, moisture absorption and operational temperature. The composite laminate with transverse crack loaded in axial tension is more affected by the hygrothermal condition than the one under flexural loading. Through this theoretical study, we hope to contribute to the understanding of the moisture absorption on the composite materials with matrix cracking.

등분포 모멘트를 받는 아치의 횡 자유진동 (Effect of Initial Uniform Moment on Lateral Free Vibration of Arches)

  • 염응준;한택희;임남형;강영종
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2002년도 가을 학술발표회 논문집
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    • pp.3-10
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    • 2002
  • Recently, arches are used structurally because of their high in-plane stiffness and strength, which result from their ability to transmit most of the applied loading by axial forces actions, so that the bending actions are reduced. On the other hand, the resistances of arches to (out-of-plane,) flexural-torsional behavior depend on the rigidities EI/sub y/, for lateral bending, GJ for Uniform torsion, and EI/sub w/ for warping torsion which are related to axial stress for flexural-torsional behavior. The resistance of an arch to out-of-plane behavior may be reduced by its in-plane curvature, and so it may require significant lateral bracing. Thus. it is supposed that In-plane preloading which cause an axial stress, have an effect on out-of-plane free vibration behavior of arches. Because axial stresses caused increase or decrease out-of-plane stiffness. But study about this substance is insufficient. In this thesis, We will study an effect of preloading on lateral free vibration of arches, using finite element method based on Kang and Yoo's curved beam theory (about curved beam element have 7 degree of freedom including warping) with FORTRAN programming.

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철근콘크리트 기둥의 성능기반설계를 위한 주철근비 (Longitudinal Reinforcement Ratio for Performance-based Design of Reinforced Concrete Columns)

  • 김창수;박홍근
    • 콘크리트학회논문집
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    • 제22권2호
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    • pp.187-197
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    • 2010
  • 본 연구에서는 성능기반설계를 위한 기둥의 주철근비에 대하여 연구하였다. 일률적인 현행 설계기준과 달리, 다양한 기둥의 설계변수를 고려하여 기둥의 주철근을 정의하였다. 기둥의 최소철근비는 다음의 2 가지 사항을 고려하여 평가하였다; 1) 사용상태에서 콘크리트의 장기변형에 의한 철근의 조기항복 방지; 2) 내진설계시 기둥의 연성능력을 확보하기 위해 균열모멘트 이상의 극한휨강도 확보. 배근상태와 하중조건에 따른 기둥의 유효강성도 강도설계시 추가적으로 고려하였으며, 3 가지 사항을 고려한 주철근비 결정방법을 제안하였다. 제안된 방법은 설계예제에 적용되었다.

이방향 슬래브의 구조성능 향상을 위한 배근상세의 제안 (Proposed Detailing of Reinforcement to Enhance the Structural Performance in Two-way Slab System)

  • 윤영수;;최응규;최한태
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1998년도 봄 학술발표회 논문집(I)
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    • pp.379-384
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    • 1998
  • To overcome the common deficiencies found in such two-way slabs, such as excessive cracking around columns, excessive deflections and low punching shear strength, it was proposed to investigate the strategic reinforcing steel distribution detailings. Concentration of the top mat of flexural reinforcement result in a higher punching shear resistance, higher post cracking stiffness, a more uniform distribution of strains in the top bars and smaller cracks at all levels of loading.

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축대칭 쉘 구조의 단순 유한요소 해석 (A Simple Finite Element Analysis of Axisymmetrical Shell Structures)

  • 김용희;이윤성
    • 한국농공학회지
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    • 제45권2호
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    • pp.68-77
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    • 2003
  • Shell structure are widely used in a variety of engineering application and mathematical solution of shell structures are available only for a few special cases. The solution of shell structure is more complicated when it has such condition as winker foundation, variable thickness and other problem. In this paper, a simple finite element method is presented for the analysis of axisymmetric several types of shell structure subjected to axisymmetric loads and having uniform and varying wall thickness on elastic foundation. The method is based on the analogy with a beam on elastic foundation (BEF), foundation stiffness matrix where the foundation modulus and beam flexural rigidity are replaced by appropriate parameters pertaining to the shell under considerations. The technique is attractive for implementation on a numerical solution by means of a computer program coded in FORTRAN language with a few elements. To demonstrate this fact, it gives good results which compare well with SAP2000.

장력을 받는 이동 평판이 갖는 진동의 스펙트럴 요소해석 (Spectral Element Analysis of the Vibrations of Moving Plates Subjected to Axial Tension)

  • 조주용;김주홍;이우식;박상덕
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2002년도 봄 학술발표회 논문집
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    • pp.192-199
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    • 2002
  • The use of frequency-dependent dynamic stiffness matrix (or spectral element matrix) in structural dynamics may provide very accurate solutions, while it reduces the number of degrees-of-freedom to improve the computational efficiency and cost problems. Thus, this paper develops a spectral element model for the thin plates moving with constant speed under uniform in-plane tension. The concept of Kantorovich method is used in the frequency-domain to formulate the dynamic stiffness matrix. The present spectral element model is evaluated by comparing its solutions with the exact analytical solutions. The effects of moving speed and in-plane tension on the flexural wave dispersion characteristics and natural frequencies of the plate are numerically investigated.

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On triply coupled vibration of eccentrically loaded thin-walled beam using dynamic stiffness matrix method

  • Ghandi, Elham;Shiri, Babak
    • Structural Engineering and Mechanics
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    • 제62권6호
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    • pp.759-769
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    • 2017
  • The effect of central axial load on natural frequencies of various thin-walled beams, are investigated by some researchers using different methods such as finite element, transfer matrix and dynamic stiffness matrix methods. However, there are situations that the load will be off centre. This type of loading is called eccentric load. The effect of the eccentricity of axial load on the natural frequencies of asymmetric thin-walled beams is a subject that has not been investigated so far. In this paper, the mentioned effect is studied using exact dynamic stiffness matrix method. Flexure and torsion of the aforesaid thin-walled beam is based on the Bernoulli-Euler and Vlasov theories, respectively. Therefore, the intended thin-walled beam has flexural rigidity, saint-venant torsional rigidity and warping rigidity. In this paper, the Hamilton‟s principle is used for deriving governing partial differential equations of motion and force boundary conditions. Throughout the process, the uniform distribution of mass in the member is accounted for exactly and thus necessitates the solution of a transcendental eigenvalue problem. This is accomplished using the Wittrick-Williams algorithm. Finally, in order to verify the accuracy of the presented theory, the numerical solutions are given and compared with the results that are available in the literature and finite element solutions using ABAQUS software.