• 제목/요약/키워드: Matrix structures

검색결과 1,289건 처리시간 0.028초

On the local stability condition in the planar beam finite element

  • Planinc, Igor;Saje, Miran;Cas, Bojan
    • Structural Engineering and Mechanics
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    • 제12권5호
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    • pp.507-526
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    • 2001
  • In standard finite element algorithms, the local stability conditions are not accounted for in the formulation of the tangent stiffness matrix. As a result, the loss of the local stability is not adequately related to the onset of the global instability. The phenomenon typically arises with material-type localizations, such as shear bands and plastic hinges. This paper addresses the problem in the context of the planar, finite-strain, rate-independent, materially non-linear beam theory, although the proposed technology is in principle not limited to beam structures. A weak formulation of Reissner's finite-strain beam theory is first presented, where the pseudocurvature of the deformed axis is the only unknown function. We further derive the local stability conditions for the large deformation case, and suggest various possible combinations of the interpolation and numerical integration schemes that trigger the simultaneous loss of the local and global instabilities of a statically determined beam. For practical applications, we advice on a procedure that uses a special numerical integration rule, where interpolation nodes and integration points are equal in number, but not in locations, except for the point of the local instability, where the interpolation node and the integration point coalesce. Provided that the point of instability is an end-point of the beam-a condition often met in engineering practice-the procedure simplifies substantially; one of such algorithms uses the combination of the Lagrangian interpolation and Lobatto's integration. The present paper uses the Galerkin finite element discretization, but a conceptually similar technology could be extended to other discretization methods.

Using an equivalent continuum model for 3D dynamic analysis of nanocomposite plates

  • Tahouneh, Vahid
    • Steel and Composite Structures
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    • 제20권3호
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    • pp.623-649
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    • 2016
  • Most of the early studies on plates vibration are focused on two-dimensional theories, these theories reduce the dimensions of problems from three to two by introducing some assumptions in mathematical modeling leading to simpler expressions and derivation of solutions. However, these simplifications inherently bring errors and therefore may lead to unreliable results for relatively thick plates. The main objective of this research paper is to present 3-D elasticity solution for free vibration analysis of continuously graded carbon nanotube-reinforced (CGCNTR) rectangular plates resting on two-parameter elastic foundations. The volume fractions of oriented, straight single-walled carbon nanotubes (SWCNTs) are assumed to be graded in the thickness direction. In this study, an equivalent continuum model based on the Eshelby-Mori-Tanaka approach is employed to estimate the effective constitutive law of the elastic isotropic medium (matrix) with oriented, straight carbon nanotubes (CNTs). The proposed rectangular plates have two opposite edges simply supported, while all possible combinations of free, simply supported and clamped boundary conditions are applied to the other two edges. The formulations are based on the three-dimensional elasticity theory. A semi-analytical approach composed of differential quadrature method (DQM) and series solution is adopted to solve the equations of motion. The fast rate of convergence of the method is demonstrated and comparison studies are carried out to establish its very high accuracy and versatility. The 2-D differential quadrature method as an efficient and accurate numerical tool is used to discretize the governing equations and to implement the boundary conditions. The convergence of the method is demonstrated and to validate the results, comparisons are made between the present results and results reported by well-known references for special cases treated before, have confirmed accuracy and efficiency of the present approach. The novelty of the present work is to exploit Eshelby-Mori-Tanaka approach in order to reveal the impacts of the volume fractions of oriented CNTs, different CNTs distributions, various coefficients of foundation and different combinations of free, simply supported and clamped boundary conditions on the vibrational characteristics of CGCNTR rectangular plates. The new results can be used as benchmark solutions for future researches.

Fabrication, Microstructure and Compression Properties of AZ31 Mg Foams

  • Zhao, Rui;Li, Yuxuan;Jeong, Seung-Reuag;Yue, Xuezheng;Hur, Bo-Young
    • 한국재료학회지
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    • 제21권6호
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    • pp.314-319
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    • 2011
  • Melt foaming method is one of cost-effective methods to make metal foam and it has been successfully applied to fabricate Mg foams. In this research, AZ31 Mg alloy ingot was used as a metal matrix, using AlCa granular as thickening agent and $CaCO_3$ powder as foaming agent, AZ31 Mg alloy foams were fabricated by melt-foaming method at different foaming temperatures. The porosity was above 41.2%~73.3%, pore size was between 0.38~1.52 mm, and homogenous pore structures were obtained. Microstructure and mechanical properties of the AZ31 Mg alloy foams were investigated by optical microscopy, SEM and UTM. The results showed that pore structure and pore distribution were much better than those fabricated at lower temperatures. The compression behavior of the AZ31 Mg alloy foam behaved as typical porous materials. As the foaming temperature increased from $660^{\circ}C$ to $750^{\circ}C$, the compressed strength also increased. The AZ31 Mg alloy foam with a foaming temperature of $720^{\circ}C$ had the best energy absorption. The energy absorption value of Mg foam was 15.52 $MJ/m^3$ at a densification strain of 52%. Furthermore, the high energy absorption efficiencies of the AZ31 Mg alloy foam kept at about 0.85 in the plastic plateau region, which indicates that composite foam possess a high energy absorption characteristic, and the Vickers hardness of AZ31 Mg alloy foam decreased as the foaming temperature increased.

폴리프로필렌/에틸렌-프로필렌 고무 블렌드 경사구조 및 표면조성 (Gradient Structures and Surface Composition of Polypropylene/Ethylene-Propylene Rubber Blends)

  • 김석제;이성구;이재홍;최길영
    • 접착 및 계면
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    • 제2권4호
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    • pp.24-31
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    • 2001
  • 용융 흐름성이 다른 폴리프로필렌(Polypropylene, PP)을 에틸렌-프로필렌 고무(EPR) 또는 에틸렌-프로필렌-디엔 단량체 고무(EPDM) 및 카르복실산 그룹을 갖고 있는 에틸렌 공중합체와 이축 압출기로 용융 혼합한 후 사출성형으로 고분자 블렌드 시편을 제조하였다. 제조된 블렌드의 기계적 특성과 시편의 두께 방향에 따른 모폴로지 변화를 조사하였으며 적외선 분광법(ATR-IR)을 이용하여 표면에서의 카르복실산 그룹의 상대적 피크 크기를 비교하였다. 단면의 모폴로지 조사에서 중앙부에는 PP 연속상에 고무 도메인이 골고루 혼합되어 있지만 표면쪽은 PP가 층을 이루고 있는 경사구조가 관찰되었다. PP의 흐름성이 클수록 블렌드의 인장강도 및 충격강도가 작아졌으며 EPR보다 EPDM을 고무성분으로 사용한 PP계 블렌드가 PP의 흐름성에 대한 영향을 적게 받았다. 또한 PP의 흐름성이 클수록 카르복실산 그룹이 표면에 많이 존재하였다.

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Identification of a novel triterpene saponin from Panax ginseng seeds, pseudoginsenoside RT8, and its antiinflammatory activity

  • Rho, Taewoong;Jeong, Hyun Woo;Hong, Yong Deog;Yoon, Keejung;Cho, Jae Youl;Yoon, Kee Dong
    • Journal of Ginseng Research
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    • 제44권1호
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    • pp.145-153
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    • 2020
  • Background: Panax ginseng Meyer (Araliaceae) is a highly valued medicinal plant in Asian regions, especially in Korea, China, and Japan. Chemical and biological studies on P. ginseng have focused primarily on its roots, whereas the seeds remain poorly understood. This study explores the phytochemical and biological properties of compounds from P. ginseng seeds. Methods: P. ginseng seeds were extracted with methanol, and 16 compounds were isolated using various chromatographic methods. The chemical structures of the isolates were determined by spectroscopic data. Antiinflammatory activities were evaluated for triterpene and steroidal saponins using lipopolysaccharide-stimulated RAW264.7 macrophages and THP-1 monocyte leukemia cells. Results: Phytochemical investigation of P. ginseng seeds led to the isolation of a novel triterpene saponin, pseudoginsenoside RT8, along with 15 known compounds. Pseudoginsenoside RT8 exhibited more potent antiinflammatory activity than the other saponins, attenuating lipopolysaccharide-mediated induction of proinflammatory genes such as interleukin-1β, interleukin-6, inducible nitric oxide synthase, cyclooxygenase-2, and matrix metalloproteinase-9, and suppressed reactive oxygen species and nitric oxide generation in a dose-dependent manner. Conclusion: These findings indicate that pseudoginsenoside RT8 has a pharmaceutical potential as an antiinflammatory agent and that P. ginseng seeds are a good natural source for discovering novel bioactive molecules.

합금크롬주철의 탄화물형상 및 열처리가 내마모성에 미치는 영향 (Effects of Carbide Morphology and Heat Treatment on Abrasion Wear Resistance of Chromium White Cast Irons)

  • Yu, Sung-Kon;Matsubara, Yasuhiro
    • 한국재료학회지
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    • 제12권5호
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    • pp.407-413
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    • 2002
  • Eutectic high chromium cast irons containing 17%Cr and 26%Cr were produced for this research by making each of them solidify unidirectionally. Abrasion wear test against SiC or $Al_2$O$_3$bonded paper was carried out using test pieces cut cross-sectionally at several distances from the chill face of castings. The wear resistance was evaluated in connection with the parameters such as eutectic colony size($E_w$), area fraction of boundary region of the colony($S_B$) where comparatively large massive chromium carbides are crystallized and, average diameter of chromium carbides in the boundary region($D_c$). The wear rate($R_w$), which is a gradient of straight line of wear loss versus testing time, was influenced by the type and the particle size of the abrasives. The $R_w$ value against SiC was found to be larger than that against A1$_2$O$_3$under the similar abrasive particle size. In the case of SiC, the $R_w$ value increased with an increase in the particle size. The $R_w$ value also increased as the eutectic colony size decreased, and that of the 17%Cr iron was larger than that of the 26%Cr iron at the same $E_w$ value. Both of the $S_B$ and $D_c$ values were closely related to the $R_w$ value regardless of chromium content of the specimens. The $R_w$ values of the annealed specimens were greater than those of the as-cast specimens because of softened matrix structures. As for the relationship between wear rate and macro-hardness of the specimens, the hardness resulting in the minimum wear rate was found to be at 550 HV30.

Co-rotational 비선형 정식화 및 FETI-local 기법을 결합한 비선형 대용량/다물체 구조 해석 알고리듬 개발 (Computational Algorithm for Nonlinear Large-scale/Multibody Structural Analysis Based on Co-rotational Formulation with FETI-local Method)

  • 조해성;주현식;이영헌;곽민철;신상준;여재익
    • 한국항공우주학회지
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    • 제44권9호
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    • pp.775-780
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    • 2016
  • 본 논문에서는 비선형 다물체 동역학 해석에 적용 가능한 구조해석을 개발하였다. 비선형 구조 해석을 위해 Co-rotational 이론 기반의 유한요소를 개발하였다. 그리고 국부 Lagrange 승수를 활용한 영역분할해석 기법을 적용하여 대용량/다물체 해석이 가능한 구조해석 알고리듬을 개발하였다. 기 개발한 구조 해석은 외팔보 및 다물체 구조에 대한 비선형 정적 해석 예제에 적용하였다. 병렬 계산에 따른 성능 평가는 희박행렬 계산 라이브러리인 PARDISO와 비교하였다. 이를 통해 기 개발 구조해석의 계산 속도 향상을 확인하였다.

그라우팅에 적합한 점성을 갖는 변형률 경화 시멘트 복합재료 (Strain-Hardening Cementitious Composites with Low Viscosity Suitable for Grouting Application)

  • 이방연
    • 한국구조물진단유지관리공학회 논문집
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    • 제16권1호
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    • pp.55-63
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    • 2012
  • 이 연구에서는 타설 과정에서 낮은 점성이 요구되는 구조물에 적합한 낮은 점성을 가지면서 다중균열에 의한 변형률 경화거동을 보이는 고인성 섬유복합재료를 제조하기 위한 재료와 제조 방법을 제시하고자 한다. 섬유복합재료의 낮은 점성과 고인성을 얻기 위하여 미시역학과 파괴역학에 기반한 이론적 해석 방법과 제조 기법을 적용하였다. 2~3MPa 범위의 인장강도를 갖는 복합재료에 적합한 최적의 섬유 양과 길이, 그리고 섬유와 매트릭스의 계면 특성을 미시역학과 안정상태 균열 이론을 이용하여 해석적으로 구한 후 여섯 가지 배합을 결정하였다. 여섯 가지 배합으로 제조한 실험체는 실험을 통하여 점성과 일축인장 성능을 검증하였다. 실험 결과 굳기 전에는 그라우팅에 적합한 낮은 점성을 갖으면서 굳은 후에는 1.5% 이상의 고인성을 갖는 변형률 경화 섬유복합재료를 제조할 수 있는 것으로 나타났다.

GFRP를 활용한 도로 방음벽 구조물의 구조성능 및 단면형상 개선에 관한 연구 (Improvement of Flexural Structural Performance and Applied Section Shape for Sound Proof Wall Structures Using Glass Fiber Reinforced Polymer(GFRP))

  • 정우영;최현규
    • 한국도로학회논문집
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    • 제11권4호
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    • pp.9-15
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    • 2009
  • 본 연구는 도로안전 시설물의 풍하중에 의한 손상발생 사례를 토대로 현행 도로안전 시설물의 구조적 휨 성능을 평가하고 이에 대한 부재별 휨 성능개선을 위한 연구이다. 본 연구의 대상구조물로는 대표적인 도로안전시설물이며 풍하중에 대한 선행 피해사례가 밝혀진 방음벽 지주프레임을 대상으로 고려하였으며 이들 지주프레임의 휨 구조성능 및 형상설계에 대한 평가를 우선적으로 수행하였다. 본 연구평가 결과에서 나타난 현행 보강재의 구조적 성능을 토대로 중량 대비 구조적 강성이 우수한 유리섬유 강화플라스틱 (GFRP)을 활용하여 다양한 보강 형태에 따른 성능개선방법을 해석 및 실험적 연구를 통하여 수행하였다. 그 결과 효율적 성능개선을 위한 GFRP 적용방법의 경우 구조적, 시공적 측면에서 효율적인 것으로 평가되었고 자체적인 형상단면 최적설계를 통한 개선방법도 성능보강에 효과적인 것으로 해석적으로 평가되었다. 본 연구에서 적용된 GFRP 단면보강 및 최적형상설계 연구는 향후 노후 도로안전 시설물의 풍하중 또는 태풍으로 인한 피해예방을 위한 기초자료로서 효율적으로 활용될 수 있을 것으로 판단된다.

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평면프레임 구조의 개선된 좌굴설계 (Improved Stability Design of Plane Frame Members)

  • 김문영;송주영;경용수
    • 한국강구조학회 논문집
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    • 제18권2호
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    • pp.225-237
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    • 2006
  • 김 등(2005a, b)의 연구를 확장시켜 시스템 좌굴 고유치해석법을 이용한 유효좌굴길이 산정법과 2차 탄성해석기법을 이용한 2차모멘트를 이용하여 축력과 휨모멘트를 받는 라멘구조의 보-기둥부재에 대한 개선된 좌굴설계법을 제안한다. 이를 위하여 먼저 국내도로교설계기준, AISC-LRFD, SRC의 각 설계기준에 제시된 내하력 기준식을 이용하여 응력-변형율 관계를 유도하고, 이를 이용한 탄성 및 비탄성 좌굴 고유치해석을 이용한 유효좌굴길이 산정법을 고찰한다. 또한 라멘구조에 대하여 AISC-LRFD에서 제시하고 있는 좌굴 안정성 검토식과 본 연구에서 제시하는 안정성 검토식을 해석예제를 통하여 비교, 검토를 행한다.