• 제목/요약/키워드: Constraint modulus

검색결과 32건 처리시간 0.025초

Numerical comparison between lattice and honeycomb core by using detailed FEM modelling

  • Giuseppe, Pavano
    • Advances in aircraft and spacecraft science
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    • 제9권5호
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    • pp.377-400
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    • 2022
  • The aim of this work is a numerical comparison (FEM) between lattice pyramidal-core panel and honeycomb core panel for different core thicknesses. By evaluating the mid-span deflection, the shear rigidity and the shear modulus for both core types and different core thicknesses, it is possible to define which core type has got the best mechanical behaviour for each thickness and the evolution of that behaviour as far as the thickness increases. Since a specific base geometry has been used for the lattice pyramidal core, the comparison gives us the opportunity to investigate the unit cell strut angle giving the higher mechanical properties. The presented work considers a detailed FEM modelling of a standard 3-point bending test (ASTM C393/C393M Standard Practice). Detailed FEM modelling addresses to detailed discretization of cores by means of beam elements for lattice core and shell elements for honeycomb core. Facings, instead, have been modelled by using shell elements for both sandwich panels. On lattice core structure, elements of core and facings are directly connected, to better simulate the additive manufacturing process. Otherwise, an MPC-based constraint between facings and core has been used for honeycomb core structure. Both sandwich panels are entirely built of Aluminium alloy. Prior to compare the two models, the FEM sandwich panel model with lattice pyramidal core needs to be validated with 3-point bending test experimental results, in order to ensure a good reliability of the FEM approach and of the comparison. Furthermore, the analytical validation has been performed according to Allen's theory. The FEM analysis is linear static with an increasing midspan load ranging from 50N up to 500N.

Engineered Soils의 특성 (Characteristics of Engineered Soils)

  • 이종섭;이창호;이우진;산타마리나
    • 한국지반공학회논문집
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    • 제22권8호
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    • pp.129-136
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    • 2006
  • 단단한 모래 입자와 연약하고 작은 고무 입자로 이루어진 Engineered Soil의 변형률에 따른 거동을 분석하기 위한 시험을 수행하였다. 파의 전파, $K_{o}$ 재하, 삼축 시험을 이용하여 단단한 입상 재료에서 연약한 입상 재료의 전이 거동을 파악하기 위해 다른 모래부피비를 가진 Engineered Soil을 준비하였다. 미소, 중간 및 대변형 변형계수는 단단한 입자의 부피비에 따라 직선 관계가 아닌 것으로 나타났다. 대신 변형계수들은 모래부피비가 $sf=0.6{\sim}0.8$ 사이의 threshold 값을 초과할 때 급격하게 증가하였다. 이는 단단한 입자들의 침투 네트워크(percolating network)의 형성을 나타낸다. 내부마찰각은 단단한 입자의 부피비가 증가함에 따라 증가한다. 반대로, 첨두 강도에서의 축변형률은 연약한 입자의 함유에 따라 증가하며, 모래부피비가 60% 이하인 Engineered Soil에서는 첨두 강도를 관찰 할 수 없었다. 연약한 입자의 존재는 하중 체인(farce chain)의 형성을 바꾼다. 연약한 입자들이 높은 하중 전달 체인(chain)의 역할을 못할 지라도, 단단한 입자 하중 체인의 뒤틀림 방지의 중요한 역할을 수행한다.

강아치교의 고등해석과 최적설계 (Advaced analysis and optimal design of steel arch bridges)

  • 최세휴
    • 한국강구조학회 논문집
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    • 제17권1호통권74호
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    • pp.13-21
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    • 2005
  • 본 논문에서는 강아치교의 고등해석과 최적설계를 수행하였다. 고등해석은 해석시에 구조계와 그에 속한 부재의 강도와 안정을 직접 고려함으로서, 해석후 개별부재의 강도검토가 필요없는 설계방법을 지칭한다. 기하학적 비선형 효과를 고려하기 위하여 안정함수를 사용하였다. 잔류응력으로 인한 점진적인 소성화를 고려하기 위하여 CRC 접선 탄성계수를 사용하였다. 탄성강성에서 완전소성강성까지 점진적인 소성화를 나타내기 위하여 포물선 함수를 사용하였다. 최적화 기법으로는 수정된 단면점증법을 사용하였다. 수정된 단면점증법은 AASHTO-LRFD의 상관방정식으로 계산된 값중에서 최대값을 가지는 부재의 크기를 단계별로 증가시키는 방법이다. 목적함수는 구조물의 중량을 사용하였으며, 제약조건식은 구조시스템의 하중-저항능력 및 처짐 조건을 고려하였다. 제안된 방법에 의한 설계결과를 기존의 연구결과와 비교하였다.

신뢰성 기반 위상최적화에 대한 비교 연구 (Comparative Study on Reliability-Based Topology Optimization)

  • 조강희;황승민;박재용;한석영
    • 한국생산제조학회지
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    • 제20권4호
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    • pp.412-418
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    • 2011
  • Reliability-based Topology optimization(RBTO) is to get an optimal design satisfying uncertainties of design variables. Although RBTO based on homogenization and density distribution method has been done, RBTO based on BESO has not been reported yet. This study presents a reliability-based topology optimization(RBTO) using bi-directional evolutionary structural optimization(BESO). Topology optimization is formulated as volume minimization problem with probabilistic displacement constraint. Young's modulus, external load and thickness are considered as uncertain variables. In order to compute reliability index, four methods, i.e., RIA, PMA, SLSV and ADL(adaptive-loop), are used. Reliability-based topology optimization design process is conducted to obtain optimal topology satisfying allowable displacement and target reliability index with the above four methods, and then each result is compared with respect to numerical stability and computing time. The results of this study show that the RBTO based on BESO using the four methods can effectively be applied for topology optimization. And it was confirmed that DLSV and ADL had better numerical efficiency than SLSV. ADL and SLSV had better time cost than DLSV. Consequently, ADL method showed the best time efficiency and good numerical stability.

Failure characteristics of combined coal-rock with different interfacial angles

  • Zhao, Tong-Bin;Guo, Wei-Yao;Lu, Cai-Ping;Zhao, Guang-Ming
    • Geomechanics and Engineering
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    • 제11권3호
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    • pp.345-359
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    • 2016
  • In order to investigate the influence of the interfacial angel on failure characteristics and mechanism of combined coal-rock mass, 35 uniaxial/biaxial compressive simulation tests with 5 different interfacial angels of combined coal-rock samples were conducted by PFC2D software. The following conclusions are drawn: (1) The compressive strength and cohesion decrease with the increase of interfacial angle, which is defined as the angle between structure plane and the exterior normal of maximum principal plane, while the changes of elastic modulus and internal friction angle are not obvious; (2) The impact energy index $K_E$ decreases with the increase of interfacial angle, and the slip failure of the interface can be predicted based on whether the number of acoustic emission (AE) hits has multiple peaks or not; (3) There are four typical failure patterns for combined coal-rock samples including I (V-shaped shear failure of coal), II (single-fracture shear failure of coal), III (shear failure of rock and coal), and IV (slip rupture of interface); and (4) A positive correlation between interfacial angle and interface effect is shown obviously, and the interfacial angle can be divided into weak-influencing scope ($0-15^{\circ}$), moderate-influencing scope ($15-45^{\circ}$), and strong-influencing scope (> $45^{\circ}$), respectively. However, the confining pressure has a certain constraint effect on the interface effect.

접합부의 비선형 거동을 고려한 공간 강뼈대 구조물의 고등해석과 최적설계 (Advanced analysis and optimal design of space steel frames accounting for nonlinear behavior of connections)

  • 최세휴
    • 한국강구조학회 논문집
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    • 제16권5호통권72호
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    • pp.683-694
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    • 2004
  • 본 논문에서는 접합부의 비선형을 고려한 공간 강뼈대 구조물의 고등해석과 최적설계를 수행하였다. 고등해석은 접합부의 비선형, 기하학적 비선형 및 재료적 비선형을 고려한다. 접합부의 비선형은 Kishi와 Chen이 제안한 3가지 매개변수를 가지는 파워모델을 사용하여 고려하였다. 기하학적 비선형은 안정함수를 사용하여 고려하였으며, 재료적 비선형은 CRC 접선 탄성계수와 포물선 함수를 사용함으로서 고려하였다. 최적화 기법으로는 Choi와 Kim이 제안한 직접탐색법을 사용하였다. 직접탐색법은 LRFD의 상관방정식으로 계산된 값중에서 최대값을 가지는 부재의 크기를 단계별로 증가시키는 방법이다. 목적함수는 구조물의 중량을 사용하였으며, 제약조건식은 구조시스템의 하중-저항능력, 처짐, 층간 수평변위 및 연성요구 조건을 고려하였다. 제안된 방법에 의한 설계결과를 LRFD방법과 비교하였다.

연약지반 표층처리공법 설계정수(지지력계수$N_c$, 인장력$T_i$) 산정방법에 관한 고찰 (A Study on Determining the Design Parameter ($N_c$, $T_i$) of the Surface Reinforcement Method for Soft Ground)

  • 함태규;서세관;조삼덕;양기석;유승경
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2009년도 춘계 학술발표회
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    • pp.750-758
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    • 2009
  • This study, as basic research which was intended to develope the surface reinforcement method using reinforcement material which is applicable to very soft ground in Korea, was aimed at proposing the design parameter for the surface ground improvement method. To that end, a wide width tensile test using geotextile, geogrid and steel bar (substitute for bamboo) and 25 kinds of the laboratory model tests with the end restraint conditions of the reinforcement that comprises the constrained and partially constrained (3 types) conditions were conducted. And the result indicated that the modulus of subgrade reaction or $N_c$ value (5.3) apparently overestimated the bearing capacity of very soft ground such as dredged ground. Moreover, as a result of model test by partially constraining the preload of 23.0kgf using geotextile, the effect of bearing capacity($q_1$) appeared to be the largest till the loading stress was $0.4tf/m^2$ due to cohesion, while it reached 75% of the maximum bearing force after $0.4tf/m^2$ due to increase in the effect of bearing capacity($q_2$) caused by the tensile force of the reinforcement. Such results tended to have appeared constantly or very similarly with each other, irrespective of the type of reinforcement (geogrid, steel bar) and constraint conditions.

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Interaction and mechanical effect of materials interface of contact zone composite samples: Uniaxial compression experimental and numerical studies

  • Wang, Weiqi;Ye, Yicheng;Wang, Qihu;Luo, Binyu;Wang, Jie;Liu, Yang
    • Geomechanics and Engineering
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    • 제21권6호
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    • pp.571-582
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    • 2020
  • Aiming at the mechanical and structural characteristics of the contact zone composite rock, the uniaxial compression tests and numerical studies were carried out. The interaction forms and formation mechanisms at the contact interfaces of different materials were analyzed to reveal the effect of interaction on the mechanical behavior of composite samples. The research demonstrated that there are three types of interactions between the two materials at the contact interface: constraint parallel to the interface, squeezing perpendicular to the interface, and shear stress on the interface. The interaction is mainly affected by the differences in Poisson's ratio and elastic modulus of the two materials, stronger interface adhesion, and larger interface inclination. The interaction weakens the strength and stiffness of the composite sample, and the magnitude of weakening is positively correlated with the degree of difference in the mechanical properties of the materials. The tensile-shear stress derived from the interaction results in the axial tensile fracture perpendicular to the interface and the interfacial shear facture. Tensile cracks in stronger material will propagation into the weaker material through the bonded interface. The larger inclination angle of the interface enhances the effect of composite tensile/shear failure on the overall sample.

접합부의 비선형 거동을 고려한 강뼈대 구조물의 고등해석과 최적설계 (Advanced analysis and optimal design of steel frames accounting for nonlinear behavior of connections)

  • 최세휴;박문호;송재호;임청권
    • 한국강구조학회 논문집
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    • 제15권6호통권67호
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    • pp.661-672
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    • 2003
  • 본 논문에서는 접합부의 비선형을 고려한 강뼈대 구조물의 고등해석과 최적설계를 수행하였다. 고등해석은 접합부의 비선형, 기하학적 비선형 및 재료적 비선형을 고려한다. 접합부의 비선형은 Kishi와 Chen이 제안한 3가지 매개변수를 가지는 파워모델을 사용하여 고려하였다. 기하학적 비선형은 안정함수를 사용하여 고려하였으며, 재료적 비선형은 CRC 접선 탄성계수와 포물선 함수를 사용함으로서 고려하였다. 최적화 기법으로는 Choi와 Kim이 제안한 직접탐색법을 사용하였다. 직접탐색법은 LRFD의 상관방정식으로 계산된 값중에서 최대값을 가지는 부재의 크기를 단계별로 증가시키는 방법이다. 목적함수는 구조물의 중량을 사용하였으며, 제약조건식은 구조시스템의 하중-저항능력, 처짐, 층간 수평변위 및 연성요구 조건을 고려하였다. 제안된 방법에 의한 설계결과를 LRFD방법과 비교하였다.

PCTC 박판 블록 용접 변형에 관한 연구 (A Study on Welding Deformation of thin plate block in PCTC)

  • 강성구;양종수;김호경
    • 대한용접접합학회:학술대회논문집
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    • 대한용접접합학회 2009년 추계학술발표대회
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    • pp.97-97
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    • 2009
  • The use of thin plate increases due to the need for light weight in large ship. Thin plate is easily distorted and has residual stress by welding heat. Therefore, the thin plate should be carefully joined to minimize the welding deformation which costs time and money for repair. For one effort to reduce welding deformation, it is very useful to predict welding deformation before welding execution. There are two methods to analyze welding deformation. One is simple linear analysis. The other is nonlinear analysis. The simple linear analysis is elastic analysis using the equivalent load method or inherent strain method from welding experiments. The nonlinear analysis is thermo-elastic analysis which gives consideration to the nonlinearity of material dependent on temperature and time, welding current, voltage, speed, sequence and constraint. In this study, the welding deformation is analyzed by using thermo-elastic method for PCTC(Pure Car and Truck Carrier) which carries cars and trucks. PCTC uses thin plates of 6mm thickness which is susceptible to welding heat. The analysis dimension is 19,200mm(length) * 13,825mm(width) * 376mm(height). MARC and MENTAT are used as pre and post processor and solver. The boundary conditions are based on the real situation in shipyard. The simulations contain convection and gravity. The material of the thin block is mild steel with $235N/mm^2$ yield strength. Its nonlinearity of conductivity, specific heat, Young's modulus and yield strength is applied in simulations. Welding is done in two pass. First pass lasts 2,100 second, then it rests for 900 second, then second pass lasts 2,100 second and then it rests for 20,000 second. The displacement at 0 sec is caused by its own weight. It is maximum 19mm at the free side. The welding line expands, shrinks during welding and finally experiences shrinkage. It results in angular distortion of thin block. Final maximum displacement, 17mm occurs around welding line. The maximum residual stress happens at the welding line, where the stress is above the yield strength. Also, the maximum equivalent plastic strain occurs at the welding line. The plastic strain of first pass is more than that of second pass. The flatness of plate in longitudinal direction is calculated in parallel with the direction of girder and compared with deformation standard of ${\pm}15mm$. Calculated value is within the standard range. The flatness of plate in transverse direction is calculated in perpendicular to the direction of girder and compared with deformation standard of ${\pm}6mm$. It satisfies the standard. Buckle of plate is calculated between each longitudinal and compared with the deformation standard. All buckle value is within the standard range of ${\pm}6mm$.

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