• 제목/요약/키워드: continuity of boundary

검색결과 243건 처리시간 0.023초

영역/경계 분할 정식화에 의한 삼차원 접촉 해석의 효율성 검토 (Computational Efficiency of 3-D Contact Analysis by Domain/Boundary Decomposition Formulation)

  • 신의섭;김용언;류한열
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 2007년도 정기 학술대회 논문집
    • /
    • pp.471-474
    • /
    • 2007
  • A domain/boundary decomposition technique is applied to carry out efficient finite element analyses of 3-D contact problems. Appropriate penalty functions are selected for connecting an interface and contact interfaces with neighboring subdomains that satisfy continuity constraints. As a consequence, all the effective stiffness matrices have positive definiteness, and computational efficiency can be improved to a considerable degree. If necessary, any complex-shaped 3-D domain can be divided into several simple-shaped subdomains without considering the conformity of meshes along the interface. With a set of numerical examples, the basic characteristics of computational efficiency are investigated carefully.

  • PDF

Integral Transforms in Electromagnetic Formulation

  • Eom, Hyo Joon
    • Journal of electromagnetic engineering and science
    • /
    • 제14권3호
    • /
    • pp.273-277
    • /
    • 2014
  • In this research, integral transform technique for electromagnetic scattering formulation is reviewed. Electromagnetic boundary-value problems are presented to demonstrate how the integral transforms are utilized in electromagnetic propagation, antennas, and electromagnetic interference/compatibility. Various canonical structures of slotted conductors are used for illustration; moreover, Fourier transform, Hankel transform, Mellin transform, Kontorovich-Lebedev transform, and Weber transform are presented. Starting from each integral transform definition, the general procedures for solving Helmholtz's equation or Laplace's equation for the potentials in the unbounded region are reviewed. The boundary conditions of field continuity are incorporated into particular formulations. Salient features of each integral transform technique are discussed.

무한 적층 구조체의 자유경계면에 나타나는 특이응력의 경계요소해석 (Boundary element analysis of singular stresses at interface edge of infinitely layered structure)

  • 이상순
    • 전산구조공학
    • /
    • 제8권3호
    • /
    • pp.75-78
    • /
    • 1995
  • 이 논문에서는 경계요소법을 사용하여 서로 다른 탄성체들이 무한하게 적층된 복합구조체의 자유경계면에서 발생하는 특이 응력을 조사하였다. 종속영역법을 도입하여, 해석모델을 독립된 탄성영역들로 나누었고, 해석모델의 공유경계면에 변위연속조건과 표면력 평형조건을 적용하여 경계요소공식을 유도하였다. 예제의 문제에 대한 수치해석 결과를 제시하였다.

  • PDF

탄성-점탄성 복합구조체의 경계요소해석 (Boundary Element Analysis of Elastic-Viscoelastic Compound Structure)

  • 이상순;김태형
    • 전산구조공학
    • /
    • 제8권2호
    • /
    • pp.147-151
    • /
    • 1995
  • 이 논문에서는 시간영역 경계요소법을 사용하여 탄성-점탄성 복합구조체의 변위와 응력을 구하는 과정을 다루고 있다. 종속영역법을 도입하여, 구조물을 탄성영역과 점탄성영역으로 나누었다. 구조물의 공유경계면에 변위연속조건과 표면력 평형조건을 적용하여, 경계요소공식을 유도하였다. 예제의 문제에 대한 수치해석 결과를 제시하였다.

  • PDF

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.

MVRDV의 건축에 나타난 공간 구성 수법에 관한 연구 (A Study on Spacial Characterristics of MVRDV's Architecture)

  • 조영배
    • 한국실내디자인학회논문집
    • /
    • 제17권1호
    • /
    • pp.77-83
    • /
    • 2008
  • MVRDV is most important architect as created interesting architectural space in contemporary architecture, and so they applies to the unique theory in their architecture. They used to architectural diagram, program, datascape, density as a design tool. Especially, they have create new architectural space and form in using architectural diagram, program, datascape, density, and void. So, this study is purposed to explain how they use as architectural tool to make composition of it's architectural space and is purpose to explain what is their main concept in architectural space. MVRDV's architectural space has fundamental methodology. That is Datascape on uncertainty and continuity between urban space and architectural space. The former consist in using diagram and architectural program and the latter consist in operating architectural void and inner continuity surface. The conclusion is follows 1. The mode of spacial composition by architectural void is correspond density of city as MVRDV's architectural thinking. 2. The mode of spacial composition by architectural program is ambiguous to the boundary between inner and exterior space by transparency. 3. The mode of spacial composition by architectural diagram make to generate the architectural form and space, through the reinterpretation and relocation of architectural program. 4. The mode of spacial composition inner continuity plane is make relative between site and inner space.

Analytical free vibration solution for angle-ply piezolaminated plate under cylindrical bending: A piezo-elasticity approach

  • Singh, Agyapal;Kumari, Poonam
    • Advances in Computational Design
    • /
    • 제5권1호
    • /
    • pp.55-89
    • /
    • 2020
  • For the first time, an accurate analytical solution, based on coupled three-dimensional (3D) piezoelasticity equations, is presented for free vibration analysis of the angle-ply elastic and piezoelectric flat laminated panels under arbitrary boundary conditions. The present analytical solution is applicable to composite, sandwich and hybrid panels having arbitrary angle-ply lay-up, material properties, and boundary conditions. The modified Hamiltons principle approach has been applied to derive the weak form of governing equations where stresses, displacements, electric potential, and electric displacement field variables are considered as primary variables. Thereafter, multi-term multi-field extended Kantorovich approach (MMEKM) is employed to transform the governing equation into two sets of algebraic-ordinary differential equations (ODEs), one along in-plane (x) and other along the thickness (z) direction, respectively. These ODEs are solved in closed-form manner, which ensures the same order of accuracy for all the variables (stresses, displacements, and electric variables) by satisfying the boundary and continuity equations in exact manners. A robust algorithm is developed for extracting the natural frequencies and mode shapes. The numerical results are reported for various configurations such as elastic panels, sandwich panels and piezoelectric panels under different sets of boundary conditions. The effect of ply-angle and thickness to span ratio (s) on the dynamic behavior of the panels are also investigated. The presented 3D analytical solution will be helpful in the assessment of various 1D theories and numerical methods.

구조 지형학적 관점에서 본 현대 건축 공간에 관한 연구 (A Study on Contemporary Architecture Space from a view of structural Geomorphology)

  • 정우석;임종엽
    • 한국실내디자인학회:학술대회논문집
    • /
    • 한국실내디자인학회 2006년도 추계학술발표대회 논문집
    • /
    • pp.219-222
    • /
    • 2006
  • Architecture is builded on the ground and affected environment which include shape of topography and situation. What this study saying is the analysis about the relation between the concept of structural geomorphology and the space modern architecture. As there are many issue about boundary of space and organic architecture, It is important what study about structural geomorphology In paper, we will aware that there are many similarities between architecture and topography. Notion of folded structure in structural geomorphology is connected with continuity or infinity. This is one of many example.

  • PDF

오일이송을 고려한 피스톤 링의 윤활 해석 (Analysis for Lubrication of the Piston Ring Considering Oil Transport)

  • 이재선;한동철
    • Tribology and Lubricants
    • /
    • 제14권3호
    • /
    • pp.51-58
    • /
    • 1998
  • This paper considers analysis of the lubrication between the piston ring and the cylinder liner. Piston ring lubrication analysis considering oil transport is important because oil consumption is an essential factor to design the piston assembly. To develop the lubrication analysis program for the piston ring, oil continuity condition and open-end boundary assumption are used for computational boundaries. Results show that oil continuity can be almost satisfied at any crank angle in and out of the piston ring clearance. Therefore the amount of oil consumption and the dynamic behavior of ring pack can be estimated using this algorithm. And it can be known that the effective width may be smaller than the full width of the piston ring, so oil starvation condition should be considered for the lubrication analysis of the piston ring.

ON THE "TERRA INCOGNITA" FOR THE NEWTON-KANTROVICH METHOD WITH APPLICATIONS

  • Argyros, Ioannis Konstantinos;Cho, Yeol Je;George, Santhosh
    • 대한수학회지
    • /
    • 제51권2호
    • /
    • pp.251-266
    • /
    • 2014
  • In this paper, we use Newton's method to approximate a locally unique solution of an equation in Banach spaces and introduce recurrent functions to provide a weaker semilocal convergence analysis for Newton's method than before [1]-[13], in some interesting cases, provided that the Fr$\acute{e}$chet-derivative of the operator involved is p-H$\ddot{o}$lder continuous (p${\in}$(0, 1]). Numerical examples involving two boundary value problems are also provided.