• 제목/요약/키워드: Matrix structures

검색결과 1,284건 처리시간 0.033초

Effect of higher order terms of Maclaurin expansion in nonlinear analysis of the Bernoulli beam by single finite element

  • Zahrai, Seyed Mehdi;Mortezagholi, Mohamad Hosein;Mirsalehi, Maryam
    • Structural Engineering and Mechanics
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    • 제58권6호
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    • pp.949-966
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    • 2016
  • The second order analysis taking place due to non-linear behavior of the structures under the mechanical and geometric factors through implementing exact and approximate methods is an indispensible issue in the analysis of such structures. Among the exact methods is the slope-deflection method that due to its simplicity and efficiency of its relationships has always been in consideration. By solving the differential equations of the modified slope-deflection method in which the effect of axial compressive force is considered, the stiffness matrix including trigonometric entries would be obtained. The complexity of computations with trigonometric functions causes replacement with their Maclaurin expansion. In most cases only the first two terms of this expansion are used but to obtain more accurate results, more elements are needed. In this paper, the effect of utilizing higher order terms of Maclaurin expansion on reducing the number of required elements and attaining more rapid convergence with less error is investigated for the Bernoulli beam with various boundary conditions. The results indicate that when using only one element along the beam length, utilizing higher order terms in Maclaurin expansion would reduce the relative error in determining the critical buckling load and kinematic parameters in the second order analysis.

In situ reduction of gold nanoparticles in PDMS matrices and applications for large strain sensing

  • Ryu, Donghyeon;Loh, Kenneth J.;Ireland, Robert;Karimzada, Mohammad;Yaghmaie, Frank;Gusman, Andrea M.
    • Smart Structures and Systems
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    • 제8권5호
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    • pp.471-486
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    • 2011
  • Various types of strain sensors have been developed and widely used in the field for monitoring the mechanical deformation of structures. However, conventional strain sensors are not suited for measuring large strains associated with impact damage and local crack propagation. In addition, strain sensors are resistive-type transducers, which mean that the sensors require an external electrical or power source. In this study, a gold nanoparticle (GNP)-based polymer composite is proposed for large strain sensing. Fabrication of the composites relies on a novel and simple in situ GNP reduction technique that is performed directly within the elastomeric poly(dimethyl siloxane) (PDMS) matrix. First, the reducing and stabilizing capacities of PDMS constituents and mixtures are evaluated via visual observation, ultraviolet-visible (UV-Vis) spectroscopy, and transmission electron microscopy. The large strain sensing capacity of the GNP-PDMS thin film is then validated by correlating changes in thin film optical properties (e.g., maximum UV-Vis light absorption) with applied tensile strains. Also, the composite's strain sensing performance (e.g., sensitivity and sensing range) is also characterized with respect to gold chloride concentrations within the PDMS mixture.

NITE-SiC 복합재료의 미세구조 특성에 미치는 섬유배열방향 영향 (Effects of Fiber Arrangement Direction on Microstructure Characteristics of NITE-SiC Composites)

  • 이영주;윤한기;박준수
    • 한국해양공학회:학술대회논문집
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    • 한국해양공학회 2006년 창립20주년기념 정기학술대회 및 국제워크샵
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    • pp.158-161
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    • 2006
  • SiC materials have been extensively studied for high temperature components in advanced energy conversion system and advanced gas turbine. However, the brittle characteristics of SiC such as law fracture toughness and law strain-to fracture impose a severe limitation on the practical applications of SiC materials. SiC/SiC composites can be considered as a promising candidate in various structural materials, because of their good fracture toughness. In this composite system, the direction of SiC fiber will give an effect to the mechanical properties. It is therefore important to control a properdirection of SiC fiber for the fabrication of high performance SiC/SiC composites. In this study, unidirection and two dimension woven structures of SiC/SiC composites were prepared starting from Tyranno SA fiber. SiC matrix was obtained by nano-powder infiltration and transient eutectoid (NITE) process. Effect of microstructure and density on the sintering temperature in NITE-SiC/SiC composites are described and discussed with the fiber direction of unidirection and two dimension woven structures.

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박막의 열물성 측정 및 광학특성 연구 (A Study on Thermal Conductivity Measurement and Optical Characteristics of Thin Films)

  • 권혁록;이성혁
    • 전기학회논문지
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    • 제56권12호
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    • pp.2202-2207
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    • 2007
  • The present article investigates experimentally and theoretically thermal and optical characteristics of thin film structures through measurement of thermal conductivity of Pyrex 7740 and reflectance in silicon thin film. The $3{\omega}$ method is used to measure thermal conductivity of very thin film with high accuracy and the optical characteristics in thin films are studied to examine the influence of incidence angle of light on reflectance by using the CTM(Characteristics Transmission Method) and the 633 nm He-Ne laser reflectance measurement system. It is found that the estimated reflectance of silicon show good agreement with experimental data. In particular, the present study solves the EPRT(Equation of Phonon Radiative Transport) which is based on Boltzmann transport equation for predicting thermal conductivity of nanoscale film structures. From the results, the measured thermal conductivity is in good agreement with the previous published data. Moreover, thermal conductivities are estimated for different film thickness. It indicates that as film thickness decreases, thermal conductivity decreases substantially due to internal scattering.

SiC휘스커로 강화한 6061 Al합금 복합재료의 기계적 특성에 미치는 열간압출의 영향 (Effect of Hot Extrusion on the Mechanical Properties of 6061 Aluminum Alloy composites Reinforced with SiC whisker)

  • 김준수;임수근
    • 한국주조공학회지
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    • 제16권2호
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    • pp.132-140
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    • 1996
  • Both cast and extruded composites of SiC whisker reinforced 6061 Al alloy matrix were fabricated by high pressure infiltration of the alloy melt into the SiC preform and subsequent hot extrusion of the composite ingots. The micro structures, age hardening behavior and mechanical properties have been examined on the both cast and extruded composites of SiCw/6061. The cast composites of SiCw/6061 were obtained in which SiC whiskers were randomly oriented. Hot extrusion of these cast composites lead to alignment of the whisker in the direction of extrusion. Strengthening effect of whisker in the extruded composites is lower than that of the cast composites. The cast composites of SiCw/6061 showed higher thensile strength and lower elongation than extruded composites of SiCw/6061 at all testing temperatures. Lower tensile strength and higher elongation of the extruded composites were attributable to fine grain structures in which grain boundary sliding occruued preferentially at elevated temperatures.

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매트릭스에 의해 희석된 ACETONITRILE과 DMF 분자클라스터의 80K에서 적외선 흡수 스펙트럼의 분석 (The Infrared Absorption Spectra of Molecular Clusters of Acetonitrile and DMF Diluted by Matrices at 80K)

  • 김완희;정종학;정기호
    • 분석과학
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    • 제5권3호
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    • pp.285-294
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    • 1992
  • 80K에서 사염화탄소 또는 크세논 매트릭스에 의해 희석된 상태에서 $CH_3CN$과 DMF 분자의 이합체의 구조를 적외선 흡수 분광법으로 연구하였다. 시료와 매트릭스 물질을 저온의 KBr트랩창에 함께 퇴적시키고, 순수한 시료와 매트릭스에 희석된 시료의 적외선 스펙트럼을 비교하여 이합체의 구조를 설명하였다. $CH_3CN$의 이합체는 반평행 모양을 그리고 DMF 이합체는 마주보는 선형을 나타내었다. 매트릭스에 희석된 시료에 온도를 상승시키면 순수한 시료와 같은 모양의 적외선 스펙트럼을 보여 주었다.

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단조하중을 받는 철골구조물의 접합부 연성도에 관한 연구 (A Study on Connection Ductility of Steel Structures Subjected to Monotonic Loading)

  • 강석봉;김진형
    • 한국강구조학회 논문집
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    • 제12권4호통권47호
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    • pp.375-385
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    • 2000
  • 6층 비가새 및 20층 가새 철골구조물에서 기하 비선형, 재료 비선형, 접합부 비선형을 고려할 때 극한 횡하중에 대해 요구되는 접합부 연성도를 파악하였다. 재료 비선형을 고려하기 위하여 단면 모멘트-곡률 관계는 Fiber 모델을 이용하고 부재 강성행렬은 유연도 선형분포 해석모델을 이용하여 유도하였다. 강접합부를 반강접합부로 대체한 6층 구조물의 접합부 연성도는 강접합부인 경우 보다 적었고 20층 구조물에서 요구되는 반강접합부 연성도는 전단접합부의 경우와 거의 같고 강접합부는 전단접합부나 반강접합부에 비하여 큰 연성도가 필요하였다.

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구상흑연주철(球狀黑鉛鑄鐵)의 혼합조직(混合組織) 및 강인성(强靭性)에 미치는 합금원소(合金元素)와 특수열처리(特殊熱處理)의 영향(影響) (Effects of the Alloying Elements and Special Heat Treatment on the Multi-phase (Ferrite-Bainite-Martensite), Strength and Toughness in Ductile Cast Iron)

  • 김석원;이의권;심재환
    • 한국주조공학회지
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    • 제13권5호
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    • pp.432-440
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    • 1993
  • Ductile cast iron has a good ductility and toughness than those of gray cast iron, because the shape of graphite is spheroidal. Also, it has been reported that, additional strengthening and toughening of the ductile cast iron can be obtainded from the proper combination of matrix structures by the heat treatment and addition of alloying elements. In this study the effect of special heat treatment and addition of alloying elements(Ni, Mo) on the multi-phase(ferrite-bainite-martensite) structures, strength and toughness of ductile cast iron were studied systematically. In water quenching from $770^{\circ}C$, the martensite volume(%) increased, but the ferrite volume(%) decreased with increment of Ni content. In as cast, pearlite volume(%) and hardness increased with increment of Mo and Ni contents. And with the increment of the destabilization austempering holding time, the bainite volume(%) increased but the martensite volume(%) decreased. As destabilization austempering holding time is same, bainite volume(%) decreased, martensite increased with the increment of Ni and Mo contents. The hardness and tensile strength decreased, but impact energy increased with the decrease of Ni and Mo contents, and increment of holding time of destabilization austempering treatment.

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부분적 강성 변화에 따른 효율적 부분 재해석 알고리즘 (An Efficient Partial Reanalysis Algorithm for the Locally Changed Structures)

  • 김치경
    • 한국전산구조공학회논문집
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    • 제17권4호
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    • pp.459-467
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    • 2004
  • 본 연구에서는 부분적 강성 변경이 연속적으로 필요한 경우, 전체 구조물을 재해석하지 않고도 관심을 두고 있는 변위와 부재력을 실시간 응답 수준에서 재계산할 수 있는 "적응형 부구조물화를 이용한 부분 재해석 알고리즘"을 제안한다. PRAS 알고리즘의 핵심 개념은, 1) 대상 구조물을 강성변경부분과 강성고정부분으로 구분하고, 2) 강성고정부분을 강성변경부재들이 연결된 잔류자유도만을 갖는 부구조물로 응축한 후, 3) 강성변경부재들과 강성고정부분 부구조물의 결합으로 전체 구조물을 모델랑함으로써, 최종 평형방정식의 잔류자유도수를 줄이는 데에 있다. 이 때 강성고정부분의 부구조물화 과정에서 본 연구에서 제시하는 또 하나의 알고리즘인 "적응형 부구조물화 알고리즘"을 적용하여 일단 초기 해석이 완료된 후에는 잔류자유도 구성이 달라질 때 다시 부구조물화에 소요되는 계산량을 최소화하였다.

건물 구조물을 위한 능동 제어 효과를 가지는 수동 점성감쇠기의 최적 설계 (Optimal Design of Passive Viscoelastic Dampers Having Active Control Effect for Building Structures)

  • 황재승;민경원;홍성목
    • 소음진동
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    • 제5권2호
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    • pp.225-234
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    • 1995
  • In this study, first, transformation process of damping ratios, whose are evaluated in active control analysis, into damping matrix resulting from installed viscous dampers is illustrated. Then, a method is followed to maximize the effect of response reduction, which leads to optimum locations and size of viscous dampers using sensitivity analysis. Highly coupled nonlinearity between damping ratios and dampers makes it hard to find the optimal size of dampers. Therefore, the nonlinearity is transformed to linear problem with small increments of damping ratios and the size of dampers can be found. However, there are many cases for the size of dampers satisfying the small increment of damping ratios, so it is necessary to select minimum size using optimization technique. To determine optimum locations of dampers, dampers are assumed to be installed between the different stories and their locations are selected corresponding corresponding to the degree of damping size. Numerical examples for the frame structure and the shear wall structure show that optimum locations and size of dampers are different form each other depending on the characteristics of modal responses of the structures. The proposed method in this study can be applied to get optimum locations of active controller in the active control.

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