• 제목/요약/키워드: classical laminate theory

검색결과 63건 처리시간 0.021초

Reliability analysis of laminated composite shells by response surface method based on HSDT

  • Thakur, Sandipan N.;Chakraborty, Subrata;Ray, Chaitali
    • Structural Engineering and Mechanics
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    • 제72권2호
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    • pp.203-216
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    • 2019
  • Reliability analysis of composite structures considering random variation of involved parameters is quite important as composite materials revealed large statistical variations in their mechanical properties. The reliability analysis of such structures by the first order reliability method (FORM) and Monte Carlo Simulation (MCS) based approach involves repetitive evaluations of performance function. The response surface method (RSM) based metamodeling technique has emerged as an effective solution to such problems. In the application of metamodeling for uncertainty quantification and reliability analysis of composite structures; the finite element model is usually formulated by either classical laminate theory or first order shear deformation theory. But such theories show significant error in calculating the structural responses of composite structures. The present study attempted to apply the RSM based MCS for reliability analysis of composite shell structures where the surrogate model is constructed using higher order shear deformation theory (HSDT) of composite structures considering the uncertainties in the material properties, load, ply thickness and radius of curvature of the shell structure. The sensitivity of responses of the shell is also obtained by RSM and finite element method based direct approach to elucidate the advantages of RSM for response sensitivity analysis. The reliability results obtained by the proposed RSM based MCS and FORM are compared with the accurate reliability analysis results obtained by the direct MCS by considering two numerical examples.

복합재 적층판의 자유단 층간분리의 평가 (Evaluation of Free-Edge Delamination in Composite Laminates)

  • 김인권;공창덕;방조혁
    • Composites Research
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    • 제14권1호
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    • pp.8-14
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    • 2001
  • 복합재 적층판의 자유단 층간분리의 모드별 변형률 에너지 해방률을 구하는 간이 계산법을 제안하였다. 층간응력은 층간에서의 평형식으로부터 층간의멘트와 층간전단력으로 평가하였다. 적층판 자유단 층간분리의 변형은 일반화된 준3차원 고전적층이론에 의하여 계산하였다. 이 간이 계산법은 변형균 에너지 해방률의 세성분을 구하는 간편한 식으로 나타내었다 복합재 적층판이 일축인장을 받는 경우에 대하여 적층판 중앙면에 대칭과 비대칭인 층간분리가 발생한 경우에 대하여 해석을 행하였다. 해석결과는 가상분리진전법에 의한 유한요소해석결과와 잘 일치하였다.

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탄소섬유 복합재료의 온도변화에 대한 열팽창계수 특성 변화 규명 (Characterization of Thermal Expansion Coefficients of Carbon/Epoxy Composite for Temperature Variation)

  • 김주식;윤광준
    • Composites Research
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    • 제12권6호
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    • pp.1-7
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    • 1999
  • 본 논문은 탄소/에폭시 적층판의 온도변화에 대한 열팽창계수 변화를 예측하고 실험적으로 검증한 것으로 재료의 주축 방향에 대한 기계적 탄성 특성과 열팽창계수를 상온에서 경화온도 범위까지 측정하였으며 온도 함수로 특성화 하였다. 온도 함수로 특성화된 물성을 고전 적층판 이론에 적용함으로써 온도 변화에 대해 일반 적층각 적층판 복합재료의 열팽창계수를 예측할 수 있는 해석적 모델을 제시하였다. 이를 증명하기 위해서 일반 적층각 적층판의 열팽창계수를 측정하였으며 이를 해석적 모델로 계산된 예측치와 비교하였다. 실험적 검증 결과 온도 변화에 대한 일반 적층판의 열팽창계수의 변화가 제시된 해석적인 계산 방법을 사용함으로써 적절하게 예측될수 있음을 볼수 있다.

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Modelling and FEA-simulation of the anisotropic damping of thermoplastic composites

  • Klaerner, Matthias;Wuehrl, Mario;Kroll, Lothar;Marburg, Steffen
    • Advances in aircraft and spacecraft science
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    • 제3권3호
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    • pp.331-349
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    • 2016
  • Stiff and light fibre reinforced composites as used in air- and space-craft applications tend to high sound emission. Therefore, the damping properties are essential for the entire structural and acoustic engineering. Viscous damping is an established and reasonably linear model of the dissipation behaviour. Commonly, it is assumed to be isotropic and constant over all modes. For anisotropic materials it depends on the fibre orientation as well as the elastic and thermal material properties. To portray the orthogonal anisotropic behaviour, a model for unidirectional fibre reinforced plastics (frp) has been developed based on the classical laminate theory by ADAMS and BACON starting in 1973. Their approach includes three damping coefficients - for longitudinal damping in fibre direction, damping transversal to the fibres and shear based dissipation. The damping of a laminate is then accumulated layer wise including the anisotropic stiffness. So far, the model has been applied mainly to thermoset matrix materials. In this study, an experimental parameter estimation for different thermoplastic frp with angle ply and cross ply layups was carried out by measuring free vibrations of cantilever beams. The results show potential and limits of the ADAMS/BACON damping criterion. In addition, a possibility of modelling the anisotropic damping is shown. The implementation in standard FEA software is used to study the influence of boundary conditions on the damping properties and numerically estimate the radiated sound power of thin-walled frp parts.

유한요소 해석기법을 이용한 탄소복합소재 인공발의 설계 (Design of Carbon Composite Prosthetic Feet using Finite Element Methods)

  • 조현석;차국찬;박진국;김신기;이석민;문무성;김창부
    • 한국정밀공학회지
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    • 제30권7호
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    • pp.769-776
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    • 2013
  • The dynamic compliance characteristics of a prosthetic foot midgait are very important for natural performance in an amputee's gait and should be in a range that provides natural, stable walking. In this study, finite element analysis (FEA) and classical laminate theory were used to examine the mechanical characteristics of a carbon-epoxy composite laminate prosthetic foot as a function of variation in the lamination composition. From this analysis, an FEM model of a prosthetic keel, made from the composite material, was developed. The lamination composition of the keel was designed for improved stiffness. The prototype product was fabricated using an autoclave. Vertical loading response tests were performed to verify the simulation model. The results of the experiments were similar to those from simulations below the loading level of the gait, suggesting use of the proposed simulation model for prosthetic keel design.

Rate-Dependence of Off-Axis Tensile Behavior of Cross-Ply CFRP Laminates at Elevated Temperature and Its Simulation

  • Takeuchi, Fumi;Kawai, Masamichi;Zhang, Jian-Qi;Matsuda, Tetsuya
    • Advanced Composite Materials
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    • 제17권1호
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    • pp.57-73
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    • 2008
  • The present paper focuses on experimental verification of the ply-by-ply basis inelastic analysis of multidirectional laminates. First of all, rate dependence of the tensile behavior of balanced symmetric cross-ply T800H/epoxy laminates with a $[0/90]_{3S}$ lay-up under off-axis loading conditions at $100^{\circ}C$ is examined. Uniaxial tension tests are performed on plain coupon specimens with various fiber orientations $[{\theta}/(90-{\theta})]_{3S}$ ($\theta$ = 0, 5, 15, 45 and $90^{\circ}C$) at two different strain rates (1.0 and 0.01%/min). The off-axis stress.strain curves exhibit marked nonlinearity for all the off-axis fiber orientations except for the on-axis fiber orientations $\theta$ = 0 and $90^{\circ}$, regardless of the strain rates. Strain rate has significant influences not only on the off-axis flow stress in the regime of nonlinear response but also on the apparent off-axis elastic modulus in the regime of initial linear response. A macromechanical constitutive model based on a ply viscoplasticity model and the classical laminated plate theory is applied to predictions of the rate-dependent off-axis nonlinear behavior of the cross-ply CFRP laminate. The material constants involved by the ply viscoplasticity model are identified on the basis of the experimental results on the unidirectional laminate of the same carbon/epoxy system. It is demonstrated that good agreements between the predicted and observed results are obtained by taking account of the fiber rotation induced by deformation as well as the rate dependence of the initial Young's moduli.

IEC1400-1 규격을 고려한 중형 수평축 풍력발전용 회전날개의 설계개선 연구 (Design Improvement on Wind Turbine Blade of Medium Scale HAWT by Considering IEC 1400-1 Specification)

  • 공창덕;정석훈;장병섭;방조혁
    • 한국추진공학회지
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    • 제4권3호
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    • pp.29-37
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    • 2000
  • 풍력 터빈회전날개의 설계시 구조적 형상을 결정하는 예비설계 단계에서 종전에는 여러 가지 다양한 경우의 설계를 수행하여 이중 적합한 경우를 채택하는 시행착오 방법은 많은 설계시간을 요하였으나, 본 연구에서는 이 같은 설계시의 비효율적 요소를 배제하고자 적층판 이론을 기초로 한 설계 프로그램을 이용하는 설계기법을 계발함으로서 설계절차를 개선하였다. 개선된 설계절차에 따라 국제표준 설계규격 IEC1400-1에서 규정한 각 경우의 하중해석과 응력, 변형율 및 변형한계를 설정한 후, 단순화한 복합재 회전날개 구조에 혼합법칙과 주 응력 설계기법을 이용하여 복합재 구조의 형상을 정하였다. 설계된 구조는 본 연구를 통해 개발된 적층판 이론을 기초로 한 프로그램을 이용하여 강도 및 좌굴에 대한 구조의 안정성을 확인하여 상세설계 과정시 소요되는 시간을 최소화하였다. 설계된 구조는 표피 등을 고려하여 수정 설계한 후 유한요소법을 이용하여 응력, 변형율, 변위, 고유 진동수, 좌굴안정성, 피로수명 등을 해석하여 국제 표준규격의 만족 여부를 확인하였다.

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Buckling load optimization of laminated composite stepped columns

  • Topal, Umut
    • Structural Engineering and Mechanics
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    • 제62권1호
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    • pp.107-111
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    • 2017
  • This paper deals with critical buckling load optimization of symmetric angle-ply laminated stepped flat columns under axial compression load. The design objective is the maximization of the critical buckling load and the design variable is the fiber orientations in the layers of the laminates. The classical laminate plate theory is used for the finite element solution of the laminated stepped flat columns. The modified feasible direction (MFD) method is used for the optimization routine. For this purpose, a program based on FORTRAN is exploited. Finally, the optimization results are presented for width ratios (b/B), ratios of fillet radius ($r_1/r_2$), aspect ratios (L/B) and boundary conditions. The results are presented in graphical and tabular forms and the results are compared.

공진분기회로를 이용한 평판의 진동제어 (Vibration Control of Plates Using Resonant Shunted Piezoelectric Material)

  • 김영호;박철휴;박현철
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 춘계학술대회
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    • pp.881-886
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    • 2003
  • Vibration control of plates with a passive electrical damper is presented in this paper. This electrical absorber, piezoelectric patches connected with a resistor and an inductor in series, is analogous to the damped mechanical vibration absorber. For estimating the effectiveness of piezoelectric absorber, the governing equations of motion are derived using a classical laminate plate theory and Hamilton principle. The developed theoretical analyses are validated experimentally for simply-supported aluminum plates in order to demonstrate the performance of passive electrical damper. The result shows that the vibration amplitude is reduced about 14dB for the targeted first vibration mode.

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공진분기회로를 이용한 평판의 진동제어 (Vibration Control of Plates Using Resonant Shunted Piezoelectric Material)

  • 김영호;박철휴;박현철
    • 대한기계학회논문집A
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    • 제27권10호
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    • pp.1778-1784
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    • 2003
  • Vibration control of plates with a passive electrical damper is presented in this paper. This electrical absorber, piezoelectric patches connected with a resistor and an inductor in series, is analogous to the damped mechanical vibration absorber. For estimating the effectiveness of piezoelectric absorber, the governing equations of motion are derived using a classical laminate plate theory and Hamilton principle. The developed theoretical analysis is validated experimentally for a simply-supported aluminum plate in order to demonstrate the performance of passive electrical damper. The result shows that the vibration amplitude is reduced about 14dB for the targeted first vibration mode.