• 제목/요약/키워드: Quadratic Deformation

검색결과 72건 처리시간 0.026초

효과적인 열응력 해석을 위한 사각형 추가 변형률 요소의 개발 (Development of a Quadrilateral Enhanced Assumed Strain Element for Efficient and Accurate Thermal Stress Analysis)

  • 고진환;이병채
    • 대한기계학회논문집A
    • /
    • 제23권7호
    • /
    • pp.1205-1214
    • /
    • 1999
  • A new quadrilateral plane stress element is developed for efficient and accurate analysis of thermal stress problems. It is convenient to use the same mesh and the same shape functions for thermal analysis and stress analysis. But, because of the inconsistency between deformation related strain field and thermal strain field, oscillatory responses and considerable errors in stresses are resulted in. To avoid undesired oscillations, strain approximation is enhanced by supplementing several assumed strain terms based on the variational principle. Thermal deformation is incorporated into the generalized mixed variational principle for displacement, strain and stress fields, and basic equations for the modified enhanced assumed strain method are derived. For the stress approximation of bilinear elements, the $5{\beta}$ version of Pian and Sumihara is adopted. The numerical results for several problems show that the present element behaves well and reduces oscillatory responses. it also results in almost the same magnitude of error as compared with the quadratic element.

적층복합 T형 보의 휨 해석 (Flexural Analysis of Laminated Composite T-Beams)

  • 백성용
    • 한국강구조학회 논문집
    • /
    • 제26권5호
    • /
    • pp.397-405
    • /
    • 2014
  • 본 연구에서는 적층복합 T형 보의 휨 해석을 위해 전단에 유연한 보 요소를 제안한다. 1차 전단변형 보 이론을 사용해 유도된 보 요소는 ? 전단변형과 재료의 비등방성 성질에 따른 모든 연계성을 고려한다. 지배방정식의 해를 구하기 위해 절점 당 7개의 자유도를 갖는 2절점, 3절점, 4절점의 세 가지 보 요소를 제안한다. 제안된 보 요소의 활용성과 정확성을 검증하기 위해 등분포하중과 집중하중을 받는 대칭 및 역대칭 앵글프라이 복합 T형 보에 대해 수치해석을 수행한다. 다른 적층순서에 대해 화이버 각과 전단변형의 영향을 조사한다. 적층 복합 T형 보의 휨 해석에 대해 3절점과 4절점 보 요소의 유효성을 입증하였다.

접면포착법에 의한 수중익 주위의 이층류 유동계산 (Computation of Two-Fluid Flows with Submerged hydrofoil by Interface Capturing Method)

  • 곽승현
    • 한국항만학회지
    • /
    • 제13권1호
    • /
    • pp.167-174
    • /
    • 1999
  • Numerical analysis of two-fluid flows for both water and air is carried out. Free-Surface flows with an arbitrary deformation have been simulated around two dimensional submerged hydrofoil. The computation is performed using a finite volume method with unstructured meshes and an interface capturing scheme to determine the shape of the free surface. The method uses control volumes with an arbitrary number of faces and allows cell-wise local mesh refinement. the integration in space is of second order based on midpoint rule integration and linear interpolation. The method is fully implicit and uses quadratic interpolation in time through three time levels The linear equation systems are solved by conjugate gradient type solvers and the non-linearity of equations is accounted for through picard iterations. The solution method is of pressure-correction type and solves sequentially the linearized momentum equations the continuity equation the conservation equation of one species and the equations or two turbulence quantities.

  • PDF

근사 최적화 방법을 이용한 사출금형 설계에 관한 연구 (A Study on Injection Mold Design Using Approximation Optimization)

  • 변성광;최하영
    • 한국기계가공학회지
    • /
    • 제19권6호
    • /
    • pp.55-60
    • /
    • 2020
  • The injection molding technique is a processing method widely used for the production of plastic parts. In this study, the gate position, gate size, packing time, and melt temperature were optimized to minimize both the stress and deformation that occur during the injection molding process of medical suction device components. We used a central composite design and Latin hypercube sampling to acquire the data and adopted the response surface method as an approximation method. The efficiency of the optimization of the injection molding problem was determined by comparing the results of a genetic algorithm, sequential quadratic programming, and a non-dominant classification genetic algorithm.

Nonlinear Finite Element Analysis of Composite Shell Under Impact

  • Cho, Chong-Du;Zhao, Gui-Ping;Kim, Chang-Boo
    • Journal of Mechanical Science and Technology
    • /
    • 제14권6호
    • /
    • pp.666-674
    • /
    • 2000
  • Large deflection dynamic responses of laminated composite cylindrical shells under impact are analyzed by the geometrically nonlinear finite element method based on a generalized Sander's shell theory with the first order transverse shear deformation and the von-Karman large deflection assumption. A modified indentation law with inelastic indentation is employed for the contact force. The nonlinear finite element equations of motion of shell and an impactor along with the contact laws are solved numerically using Newmark's time marching integration scheme in conjunction with Akay type successive iteration in each step. The ply failure region of the laminated shell is estimated using the Tsai- Wu quadratic interaction criteria. Numerical results, including the contact force histories, deflections and strains are presented and compared with the ones by linear analysis. The effect of the radius of curvature on the composite shell behaviors is investigated and discussed.

  • PDF

직교이방 섬유강화 복합재료의 비선형 비등방 경화법칙 (Nonlinear Anisotropic Hardening Laws for Orthotropic Fiber-Reinforced Composites)

  • 김대용;이명규;정관수
    • 한국복합재료학회:학술대회논문집
    • /
    • 한국복합재료학회 2003년도 추계학술발표대회 논문집
    • /
    • pp.75-78
    • /
    • 2003
  • In order to describe the Bauschinger and transient behavior of orthotropic fiber-reinforced composites, a combined isotropic-kinematic hardening law based on the non-linear kinematic hardening rule was considered here, in particular, based on the Chaboche type law. In this modified constitutive law, the anisotropic evolution of the back-stress was properly accounted for. Also, to represent the orthotropy of composite materials, Hill's 1948 quadratic yield function and the orthotropic elasticity constitutive equations were utilized. Furthermore, the numerical formulation to update the stresses was also developed based on the incremental deformation theory for the boundary value problems. Numerical examples confirmed that the new law based on the anisotropic evolution of the back-stress complies well with the constitutive behavior of highly anisotropic materials such as fiber-reinforced composites.

  • PDF

Long-gauge 광섬유 센서를 이용한 철도교 PSC 거더의 처짐유추 (Deflection Estimation of a PSC Railroad Girder using Long-gauge Fiber Optic Sensors)

  • 정원석;김성일;김남식;이희업
    • 한국철도학회논문집
    • /
    • 제9권4호
    • /
    • pp.467-472
    • /
    • 2006
  • This paper deals with the applicability of long-gauge deformation fiber optic sensors (FOS) to prestressed concrete structures. A main motivation is the desire to monitor the deflection of the railway bridges without intervenes of the signal intensity fluctuations. A 25 m long, 1.8 m deep PSC girder was fabricated compositely with 22 cm thick reinforced concrete deck. Two pairs of 3 m long-gauge sensors are attached to the prestressed concrete girder with parallel topology. Using the relationship between curvature and vortical deflection and the quadratic regression of curvatures at the discrete point, it is possible to extrapolate the deflection curve of the girder. The estimated deflection based on the developed method is compared with the results using conventional strain gauges and LVDTS. It has been demonstrated that the proposed instrumentation technique is capable of estimating the vertical deflection and neutral axis position of the prestressed concrete girder up to weak nonlinear region.

굽힘이 고려된 개량박막요소를 이용한 평면이방 박판금속 성형해석 (Sheet Metal Forming Analysis with Planar Anisotropic Materials using a Modified Membrane Element considering Bending Effect)

  • 최태훈;허훈
    • 한국소성가공학회:학술대회논문집
    • /
    • 한국소성가공학회 1997년도 춘계학술대회논문집
    • /
    • pp.183-187
    • /
    • 1997
  • A membrane element is regarded as more preferable rather than other elements in the sense of its computing efficiency and the merit with respect to contact treatment. However, it cannot consider the bending effect during the deformation. Moreover, due to the characteristics of rolling process, sheet metal has anisotropy with respect to the direction in the plane. To take the bending effect into account, a modified membrane element was introduced and improved to consider planar anisotropic characteristics with the aid of Hill's quadratic criterion.

  • PDF

Computation of Water and Air Flow with Submerged Hydrofoil by Interface Capturing Method

  • Kwag, Seung-Hyun
    • Journal of Mechanical Science and Technology
    • /
    • 제14권7호
    • /
    • pp.789-795
    • /
    • 2000
  • Free-surface flows with an arbitrary deformation, induced by a submerged hydrofoil, are simulated numerically, considering two-fluid flows of both water and air. The computation is performed by a finite volume method using unstructured meshes and an interface capturing scheme to determine the shape of the free surface. The method uses control volumes with an arbitrary number of faces and allows cell wise local mesh refinement. The integration in space is of second order, based on midpoint rule integration and linear interpolation. The method is fully implicit and uses quadratic interpolation in time through three time levels. The linear equations are solved by conjugate gradient type solvers, and the non-linearity of equations is accounted for through Picard iterations. The solution method is of pressure-correction type and solves sequentially the linearized momentum equations, the continuity equation, the conservation equation of one species, and the equations for two turbulence quantities. Finally, a comparison is quantitatively made at the same speed between the computation and experiment in which the grid sensitivity is numerically checked.

  • PDF

UBET Analysis of the Combined Extrusion Using Shape Function

  • Bae, Won-Byong;Kim, Young-Ho-;Kim, Jae-Cheol-
    • 한국정밀공학회:학술대회논문집
    • /
    • 한국정밀공학회 1994년도 추계학술대회 논문집
    • /
    • pp.205-209
    • /
    • 1994
  • The main purpose of this study is constructing new velocity fields on the base of shape function used in finite element method and showing the possibility of application it to metal forming processes. Utilizing the 8-node quadratic rectangular element, we expressed the velocity within the deformation region by interpolating the velocity of each nodal points. And the upper-bound formulation from this velocity fields was derived. In order to confirm the validity of this method we applied it to axisymmetic combined extrusion problem. the results of load show that this method is on better agreement with experiment than the conventional UBET, and also the flow pattern and profile of extruded part are reasonable.

  • PDF