• 제목/요약/키워드: layer-wise theory

검색결과 24건 처리시간 0.025초

다공도 및 팽창파의 영향을 고려한 BLEED 경계조건 수치 모델링의 정확도 향상 연구 (ACCURACY IMPROVEMENT OF THE BLEED BOUNDARY CONDITION WITH THE EFFECTS OF POROSITY VARIATIONS AND EXPANSION WAVES)

  • 김광현;최요한;김종암
    • 한국전산유체공학회지
    • /
    • 제21권1호
    • /
    • pp.94-102
    • /
    • 2016
  • The present paper deals with accuracy improvement of a bleed boundary condition model used to improve the performance of supersonic inlets. In order to accurately predict the amount of bleed mass flow rates, this study performs a scaling of sonic flow coefficient data for 90-degree bleed holes in consideration of Prandtl-Meyer expansion theory. Furthermore, it is assumed that porosity varies with stream-wise location of the porous bleed plate to accurately predict downstream boundary layer profiles. The bleed boundary condition model is demonstrated through Computational Fluid Dynamics(CFD) simulations of bleed flows on a flat plate with/without an oblique shock. As a result, the bleed model shows the improved accuracy of bleed mass rates and downstream boundary layer profiles.

축방향 하중을 받는 점탄성물질이 심어진 적층보의 지그재그요소를 이용한 진동해석 (Damped Vibrations of Axially-Stressed Laminated Beams using Zig-Zag Finite Element)

  • 이덕규;조맹효
    • 한국항공우주학회지
    • /
    • 제30권4호
    • /
    • pp.64-69
    • /
    • 2002
  • 축방향 인장 및 압축하중을 받는 점탄성층을 갖는 복합재료 적층보의 동력학적 거동을 해석하였다. 개선된 지그재그 보이론과 지배방정식에 기초한 기하학적 상관식을 이용하여 점탄성층을 갖는 복합재료 적층보를 모델링하였고 이에 기초한 보 유한요소를 개발하였다. 축방향 인장 및 압축하중하의 고유진동수와 감쇠계수는 복소수 유일법을 이용하여 계산하였다. 축방향 인장 및 압축하중이 고유진동수 및 감쇠계수에 미치는 영향을 조사하였다.

Free vibration and buckling analysis of elastically restrained FG-CNTRC sandwich annular nanoplates

  • Kolahdouzan, Farzad;Mosayyebi, Mohammad;Ghasemi, Faramarz Ashenai;Kolahchi, Reza;Panah, Seyed Rouhollah Mousavi
    • Advances in nano research
    • /
    • 제9권4호
    • /
    • pp.237-250
    • /
    • 2020
  • An accurate plate theory for assessing sandwich structures is of interest in order to provide precise results. Hence, this paper develops Layer-Wise (LW) theory for reaching precise results in terms of buckling and vibration behavior of Functionally Graded Carbon Nanotube-Reinforced Composite (FG-CNTRC) annular nanoplates. Furthermore, for simulating the structure much more realistic, its edges are elastically restrained against in-plane and transverse displacement. The nano structure is integrated with piezoelectric layers. Four distributions of Single-Walled Carbon Nanotubes (SWCNTs) along the thickness direction of the core layer are investigated. The Differential Quadrature Method (DQM) is utilized to solve the motion equations of nano structure subjected to the electric field. The influence of various parameters is depicted on both critical buckling load and frequency of the structure. The accuracy of solution procedure is demonstrated by comparing results with classical edge conditions. The results ascertain that the effects of different distributions of CNTs and their volume fraction are significant on the behavior of the system. Furthermore, the amount of in-plane and transverse spring coefficients plays an important role in the buckling and vibration behavior of the nano-structure and optimization of nano-structure design.

Assessment of negative Poisson's ratio effect on thermal post-buckling of FG-GRMMC laminated cylindrical panels

  • Shen, Hui-Shen;Xiang, Y.
    • Advances in nano research
    • /
    • 제10권5호
    • /
    • pp.423-435
    • /
    • 2021
  • This paper examines the thermal post-buckling behaviors of graphene-reinforced metal matrix composite (GRMMC) laminated cylindrical panels which possess in-plane negative Poisson's ratio (NPR) and rest on an elastic foundation. A panel consists of GRMMC layers of piece-wise varying graphene volume fractions to obtain functionally graded (FG) patterns. Based on the MD simulation results, the GRMMCs exhibit in-plane NPR as well as temperature-dependent material properties. The governing equations for the thermal post-buckling of panels are based on the Reddy's third order shear deformation shell theory. The von Karman nonlinear strain-displacement relationship and the elastic foundation are also included. The nonlinear partial differential equations for GRMMC laminated cylindrical panels are solved by means of a singular perturbation technique in associate with a two-step perturbation approach and in the solution process the boundary layer effect is considered. The results of numerical investigations reveal that the thermal post-buckling strength for (0/90)5T GRMMC laminated cylindrical panels can be enhanced with an FG-X pattern. The thermal post-buckling load-deflection curve of 6-layer (0/90/0)S and (0/90)3T panels of FG-X pattern are higher than those of 10-layer (0/90/0/90/0)S and (0/90)5T panels of FG-X pattern.

반 최적화기법에 의한 적층복합보의 손상추적 (Damage detection in laminated beams by anti-optimization)

  • 이재홍
    • 전산구조공학
    • /
    • 제9권2호
    • /
    • pp.173-182
    • /
    • 1996
  • 본 연구는 적층복합보에 있어서의 층간분리현상을 추적하는 기법을 소개하고 있다. 이 기법에서는 층간분리된 보와 층간분리되지 않은 보와의 응답차이를 최대화하도록 조화운동의 가력을 보위별로 최적화한다. 2개층의 알루미늄 보에 대하여 수치해석을 수행하였으며, 계측 및 보의 형태에 따른 노이즈를 고려하였다. 층간 분리를 모델링하기 위하여 스텝함수를 사용하였으며 층별 복합판 이론에 기본한 유한요소법을 이용하여 해석하였다.

  • PDF

Edge stresses analysis in thick composite panels subjected to axial loading using layerwise formulation

  • Ahmadi, Isa
    • Structural Engineering and Mechanics
    • /
    • 제57권4호
    • /
    • pp.733-762
    • /
    • 2016
  • Based on a reduced displacement field, a layer-wise (LW) formulation is developed for analysis of thick shell panels which is subjected to axial tension. Employing the principle of minimum total potential energy, the local governing equations of thick panel which is subjected to axial extension are obtained. An analytical method is developed for solution of the governing equations for various edge conditions. The governing equations are solved for free and simply supported edge conditions. The interlaminar stresses in the panel are investigated by means of Hooke's law and also by means of integration of the equilibrium equations of elasticity. Dependency of the result upon the number of numerical layers in the layerwise theory (LWT) is studied. The accuracy of the numerical results is validated by comparison with the results of the finite element method and with other available results in the open literature and good agreement is seen between the results. Numerical results are then presented for the distribution of interlaminar normal and shear stresses within the symmetric and un-symmetric cross-ply thick panels with free and simply supported boundaries. The effects of the geometrical parameters such as radius to thickness and width to thickness ratio are investigated on the distribution of the interlaminar stresses in thick panels.

Dynamic Analysis of Laminated Composite and Sandwich Plates Using Trigonometric Layer-wise Higher Order Shear Deformation Theory

  • Suganyadevi, S;Singh, B.N.
    • International Journal of Aerospace System Engineering
    • /
    • 제3권1호
    • /
    • pp.10-16
    • /
    • 2016
  • A trigonometric Layerwise higher order shear deformation theory (TLHSDT) is developed and implemented for free vibration and buckling analysis of laminated composite and sandwich plates by analytical and finite element formulation. The present model assumes parabolic variation of out-plane stresses through the depth of the plate and also accomplish the zero transverse shear stresses over the surface of the plate. Thus a need of shear correction factor is obviated. The present zigzag model able to meet the transverse shear stress continuity and zigzag form of in-plane displacement continuity at the plate interfaces. Hence, botheration of shear correction coefficient is neglected. In the case of analytical method, the governing differential equation and boundary conditions are obtained from the principle of virtual work. For the finite element formulation, an efficient eight noded $C^0$ continuous isoparametric serendipity element is established and employed to examine the dynamic analysis. Like FSDT, the considered mathematical model possesses similar number of variables and which decides the present models computationally more effective. Several numerical predictions are carried out and results are compared with those of other existing numerical approaches.

Dynamic response of a laminated hybrid composite cantilever beam with multiple cracks & moving mass

  • Saritprava Sahoo;Sarada Prasad Parida;Pankaj Charan Jena
    • Structural Engineering and Mechanics
    • /
    • 제87권6호
    • /
    • pp.529-540
    • /
    • 2023
  • A novel laminated-hybrid-composite-beam (LHCB) of glass-epoxy infused with flyash and graphene is constructed for this study. The conventional mixture-rule and constitutive-relationship are modified to incorporate filler and lamina orientation. Eringen's non-local-theory is used to include the filler effect. Hamilton's principle based on fifth-order-layer-wise-shear-deformation-theory is applied to formulate the equation of motion. The analogous shear-spring-models for LHCB with multiple-cracks are employed in finite-element-analysis (FEA). Modal-experimentations are conducted (B&K-analyser) and the findings are compared with theoretical and FEA results. In terms of dimensionless relative-natural-frequencies (RNF), the dynamic-response in cantilevered support is investigated for various relative-crack-severities (RCSs) and relative-crack-positions (RCPs). The increase of RCS increases local-flexibility in LHCB thus reductions in RNFs are observed. RCP is found to play an important role, cracks present near the end-support cause an abrupt drop in RNFs. Further, multiple cracks are observed to enhance the nonlinearity of LHCB strength. Introduction of the first to third crack in an intact LHCB results drop of RNFs by 8%, 10%, and 11.5% correspondingly. Also, it is demonstrated that the RNF varies because of the lamina-orientation, and filler addition. For 0° lamina-orientation the RNF is maximum. Similarly, it is studied that the addition of graphene reduces weight and increases the stiffness of LHCB in contrast to the addition of flyash. Additionally, the response of LHCB to moving mass is accessed by appropriately modifying the numerical programs, and it is noted that the successive introduction of the first to ninth crack results in an approximately 40% to 120% increase in the dynamic-amplitude-ratio.

Cylindrical bending of laminated cylindrical shells using a modified zig-zag theory

  • Icardi, Ugo
    • Structural Engineering and Mechanics
    • /
    • 제6권5호
    • /
    • pp.497-516
    • /
    • 1998
  • A relatively simple two-dimensional multilayered shell model is presented for predicting both global quantities and stress distributions across the thickness of multilayered thick shells, that is based on a third-order zig-zag approach. As for any zig-zag model, the layerwise kinematics is accounted for, with the stress continuity conditions at interfaces met a priori. Moreover, the shell model satisfies the zero transverse shear stress conditions at the upper and lower free surfaces of the shell, irrespective of the lay-up. By changing the parameters in the displacement model, some higher order shell models are obtained as particular cases. Although it potentially has a wide range of validity, application is limited to cylindrical shell panels in cylindrical bending, a lot of solutions of two-dimensional models based on rather different simplyfying assumptions and the exact three-dimensional elasticity solution being available for comparisons for this benchmark problem. The numerical investigation performed by the present shell model and by the shell models derived from it illustrates the effects of transverse shear modeling and the range of applicability of the simplyfying assumptions introduced. The implications of retaining only selected terms depending on the radius-to-thickness ratio are focused by comparing the present solutions to the exact one and to other two-dimensional solutions in literature based on rather different simplyfying assumptions.

Search for Dormant Comets in the Infrared Asteroidal Catalog

  • Kim, Yoonyoung;Ishiguro, Masateru;Usui, Fumihiko
    • 천문학회보
    • /
    • 제39권1호
    • /
    • pp.67.2-67.2
    • /
    • 2014
  • Comet nucleus is a solid body consisting of dark dust grains and ice. Cometary volatiles sublimate from subsurface layer by solar heating, leaving behind large dust grains on the surface. Eventually, the appearance could turn into asteroidal rather than cometary. It is, therefore, expected that there would be "dormant comets" in the list of known asteroids. Our research group has undertaken the research on the population of dormant comets. We applied a brand-new asteroidal catalog compiled from data garnered by three infrared astronomical observatories, AKARI, IRAS and WISE. We extracted objects which have comet-like orbits on the basis of their orbital properties (Tisserand parameters with respect to Jupiter, TJ, and aphelion distance, Q). We found that (1) there are a considerable number (>100) of asteroids in comet-like orbits, and (2) 80% of them have low albedo consistent with comets. This result suggest that these low albedo objects could be dormant comets. One unanticipated finding is that 20% of asteroids in comet-like orbit have high albedo similar to S-type asteroids. It is difficult to explain the population of S-type asteroids in comet-like orbits by the classical mechanics theory. We further found that these high-albedo objects are small (D < 2 km) bodies distributed in near-Earth space. We suggest that such high-albedo, small, near-Earth asteroids are susceptible to Yarkovsky effect and injected into comet-like orbits.

  • PDF