• 제목/요약/키워드: implicit functions

검색결과 80건 처리시간 0.024초

Combined multi-predict-correct iterative method for interaction between pulsatile flow and large deformation structure

  • Wang, Wenquan;Zhang, Li-Xiang;Yan, Yan;Guo, Yakun
    • Coupled systems mechanics
    • /
    • 제1권4호
    • /
    • pp.361-379
    • /
    • 2012
  • This paper presents a fully coupled three-dimensional solver for the analysis of interaction between pulsatile flow and large deformation structure. A partitioned time marching algorithm is employed for the solution of the time dependent coupled discretised problem, enabling the use of highly developed, robust and well-tested solvers for each field. Conservative transfer of information at the fluid-structure interface is combined with an effective multi-predict-correct iterative scheme to enable implicit coupling of the interacting fields at each time increment. The three-dimensional unsteady incompressible fluid is solved using a powerful implicit time stepping technique and an ALE formulation for moving boundaries with second-order time accurate is used. A full spectrum of total variational diminishing (TVD) schemes in unstructured grids is allowed implementation for the advection terms and finite element shape functions are used to evaluate the solution and its variation within mesh elements. A finite element dynamic analysis of the highly deformable structure is carried out with a numerical strategy combining the implicit Newmark time integration algorithm with a Newton-Raphson second-order optimisation method. The proposed model is used to predict the wave flow fields of a particular flow-induced vibrational phenomenon, and comparison of the numerical results with available experimental data validates the methodology and assesses its accuracy. Another test case about three-dimensional biomedical model with pulsatile inflow is presented to benchmark the algorithm and to demonstrate the potential applications of this method.

미(美)의 암묵적 이론과 외모지향성이 다목적 제품에 대한 소비자 인식에 미치는 영향 (The Role of Implicit Theory of Beauty and Appearance Orientation on Consumers' Perceptions of Multi-Purpose Products)

  • 최주혜;전정룡;전유정
    • 지식경영연구
    • /
    • 제25권1호
    • /
    • pp.111-134
    • /
    • 2024
  • 다양한 업계에서 한 번에 여러 가지 기능을 수행하는 '다목적' 제품을 출시하는 브랜드들이 늘고 있다. 그러나 소비자들이 다목적 제품과 이를 제공하는 브랜드에 대한 인식 관련 연구는 아직 많이 이루어지지 않았다. 본 연구에서는 소비자들이 미(美) 에 대해 갖고 있는 암묵적 이론이 다목적 제품 관련 지식과 브랜드 지식에 미치는 영향을 연구한다. 외모 지향성이 높은 소비자들 사이에서, 미(美)에 대한 증가(vs. 실체) 이론(즉, 본인의 아름다움은 타고난 것이 아닌, 노력에 의해 변화시킬 수 있는 것이라는 믿음)이 강할 수록 다목적 제품에 대한 선호도가 감소한다는 것을 발견하였다. 또한, 이는 전반적인 브랜드 평가에도 부정적인 영향을 미치는 것으로 나타났다. 이 연구 결과는 제품/브랜드 관련 지식경영에 있어, 소비자들의 암묵적 이론과 그에 따른 선호도를 고려해야 한다는 것을 시사한다.

2차원 점 데이터의 다중해상도 표현 (Multi-resolution Representation of 2D Point Data)

  • 윤성민;이문배;박상훈
    • 한국정보과학회논문지:컴퓨팅의 실제 및 레터
    • /
    • 제16권7호
    • /
    • pp.768-774
    • /
    • 2010
  • 흩어진 점 데이터의 집합으로부터 음함수 곡면을 생성하는 기법들이 다양한 과학과 공학 분야에서 개발되어 활용되고 있다. 본 논문에서는 다중스케일 커널을 이용하여 2차원 점 데이터를 함수 형태로 표현하고, 이것이 실시간 데이터 액세스가 필요한 그래픽스 응용에 효과적으로 활용될 수 있음을 보인다. 전처리 단계에서 계산되고 저장된 함수 계수들을 이용해, 실시간 응용 프로그램에서 임의의 위치에 대한 함수 값을 액세스하는 과정은 기존의 연구 방법들과 유사하지만, 실시간 처리 과정에서 사용자가 원하는 섬세한 레벨의 함수 값을 자유롭게 선택할 수 있다는 점에서 본 기법은 다른 기법들과 차별된다. 내재적으로 다중해상도 표현을 지원하는 함수를 계산할 수 있는 것은 멀티 스케일 커널이 갖는 수학적인 특성에 기인하며, 이 커널은 2차원뿐만 아니라 n차원 데이터의 다중해상도 표현을 위해 확장가능하다.

An improved response surface method for reliability analysis of structures

  • Basaga, Hasan Basri;Bayraktar, Alemdar;Kaymaz, Irfan
    • Structural Engineering and Mechanics
    • /
    • 제42권2호
    • /
    • pp.175-189
    • /
    • 2012
  • This paper presents an algorithm for structural reliability with the response surface method. For this aim, an approach with three stages is proposed named as improved response surface method. In the algorithm, firstly, a quadratic approximate function is formed and design point is determined with First Order Reliability Method. Secondly, a point close to the exact limit state function is searched using the design point. Lastly, vector projected method is used to generate the sample points and Second Order Reliability Method is performed to obtain reliability index and probability of failure. Five numerical examples are selected to illustrate the proposed algorithm. The limit state functions of three examples (cantilever beam, highly nonlinear limit state function and dynamic response of an oscillator) are defined explicitly and the others (frame and truss structures) are defined implicitly. ANSYS finite element program is utilized to obtain the response of the structures which are needed in the reliability analysis of implicit limit state functions. The results (reliability index, probability of failure and limit state function evaluations) obtained from the improved response surface are compared with those of Monte Carlo Simulation, First Order Reliability Method, Second Order Reliability Method and Classical Response Surface Method. According to the results, proposed algorithm gives better results for both reliability index and limit state function evaluations.

Upgraded quadratic inference functions for longitudinal data with type II time-dependent covariates

  • Cho, Gyo-Young;Dashnyam, Oyunchimeg
    • Journal of the Korean Data and Information Science Society
    • /
    • 제25권1호
    • /
    • pp.211-218
    • /
    • 2014
  • Qu et. al. (2000) proposed the quadratic inference functions (QIF) method to marginal model analysis of longitudinal data to improve the generalized estimating equations (GEE). It yields a substantial improvement in efficiency for the estimators of regression parameters when the working correlation is misspecified. But for the longitudinal data with time-dependent covariates, when the implicit full covariates conditional mean (FCCM) assumption is violated, the QIF can not provide more consistent and efficient estimator than GEE (Cho and Dashnyam, 2013). Lai and Small (2007) divided time-dependent covariates into three types and proposed generalized method of moment (GMM) for longitudinal data with time-dependent covariates. They showed that their GMM type II and GMM moment selection methods can be more ecient than GEE with independence working correlation (GEE-ind) in the case of type II time-dependent covariates. We develop upgraded QIF method for type II time-dependent covariates. We show that this upgraded QIF method can provide substantial gains in efficiency over QIF and GEE-ind in the case of type II time-dependent covariates.

Ontology-based Description of Functional Design Knowledge and its Use in a Functional Was Server

  • Kitamura, Yoshinobu;Kasai, Toshinobu;Mizoguchi, Riiichiro
    • 한국지능정보시스템학회:학술대회논문집
    • /
    • 한국지능정보시스템학회 2001년도 The Pacific Aisan Confrence On Intelligent Systems 2001
    • /
    • pp.400-409
    • /
    • 2001
  • In conceptual design of engineering devices, a designer decomposes a required function into sub-functions, so-called functional decomposition, using a kind of functional knowledge representing achievement relations among functions. However, such knowledge about functionality of engineering devices is usually left implicit because each designer possesses it. Even if such knowledge is found in documents, it is often scattered around technical domains and lacks consistency. Aiming at capturing such functional knowledge explicitly and sharing it in design teams, we discuss its systematic description based on functional ontologies which provide common concepts for its consistent and generic description. We propose a new concept named “was of achievement” as a key concept for capturing such functional knowledge. Categorization of typical representations of the knowledge and its organization as is-a hierarchies are also discussed. The generic concepts representing functionality of a device in the functional knowledge are provided by the functional concept ontology, which makes the functional knowledge consistent and applicable to other domains. We also discuss development of a design supporting system using the systematized knowledge, called a functional was server. It helps human designers redesign an existing engineering device by providing a wide range of alternative ways of achievement of the required function in a manner suitable for the viewpoint of each designer and then facilitates innovative design.

  • PDF

자동미분을 이용한 뼈대구조의 다단계 다목적 최적설계 (Multi-Level and Multi-Objective Optimization of Framed Structures Using Automatic Differentiation)

  • Cho, Hyo-Nam;Min, Dae-Hong;Lee, Kwang-Min;Kim, Hoan-Kee
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 2000년도 봄 학술발표회논문집
    • /
    • pp.177-186
    • /
    • 2000
  • An improved multi-level(IML) optimization algorithm using automatic differentiation (AD) for multi-objective optimum design of framed structures is proposed in this paper. In order to optimize the steel frames under seismic load, two main objective functions need to be considered for minimizing the structural weight and maximizing the strain energy. For the efficiency of the proposed algorithm, multi-level optimization techniques using decomposition method that separately utilizes both system-level and element-level optimizations and an artificial constraint deletion technique are incorporated in the algorithm. And also to save the numerical efforts, an efficient reanalysis technique through approximated structural responses such as moments, frequencies, and strain energy with respect to intermediate variables is proposed in the paper. Sensitivity analysis of dynamic structural response is executed by AD that is a powerful technique for computing complex or implicit derivatives accurately and efficiently with minimal human effort. The efficiency and robustness of the IML algorithm, compared with a plain multi-level (PML) algorithm, is successfully demonstrated in the numerical examples.

  • PDF

페트로프-갤러킨 자연요소법을 이용한 비선형 동해석 (Nonlinear Dynamic Analysis using Petrov-Galerkin Natural Element Method)

  • 이홍우;조진래
    • 대한기계학회:학술대회논문집
    • /
    • 대한기계학회 2004년도 추계학술대회
    • /
    • pp.474-479
    • /
    • 2004
  • According to our previous study, it is confirmed that the Petrov-Galerkin natural element method (PGNEM) completely resolves the numerical integration inaccuracy in the conventional Bubnov-Galerkin natural element method (BG-NEM). This paper is an extension of PG-NEM to two-dimensional nonlinear dynamic problem. For the analysis, a constant average acceleration method and a linearized total Lagrangian formulation is introduced with the PG-NEM. At every time step, the grid points are updated and the shape functions are reproduced from the relocated nodal distribution. This process enables the PG-NEM to provide more accurate and robust approximations. The representative numerical experiments performed by the test Fortran program, and the numerical results confirmed that the PG-NEM effectively and accurately approximates the nonlinear dynamic problem.

  • PDF

GENERATING FUNCTIONS FOR LEGENDRE-BASED POLY-BERNOULLI NUMBERS AND POLYNOMIALS

  • Khan, N.U.;Usman, Talha;Aman, Mohd
    • 호남수학학술지
    • /
    • 제39권2호
    • /
    • pp.217-231
    • /
    • 2017
  • In this paper, we introduce a generating function for a Legendre-based poly-Bernoulli polynomials and give some identities of these polynomials related to the Stirling numbers of the second kind. By making use of the generating function method and some functional equations mentioned in the paper, we conduct a further investigation in order to obtain some implicit summation formulae for the Legendre-based poly-Bernoulli numbers and polynomials.

천음속 팬의 3차원 유동에 관한 수치해석 (A Numerical Analysis of Three-Dimensional Flow Within a Transonic Fan)

  • 정주현;고성호
    • 대한기계학회논문집B
    • /
    • 제23권1호
    • /
    • pp.82-91
    • /
    • 1999
  • A numerical analysis based on the three-dimensional Reynolds-averaged Navier-Stokes equation has been conducted to investigate the flow within a NASA rotor 67 transonic fan. General coordinate transformations are used to represent the complex blade geometry and an H-type grid is used. The governing equations are solved using implicit LU-SGS scheme for the time-marching integration and a standard ${\kappa}-{\varepsilon}$ model is used with wall functions for the turbulence modeling. The computations are compared with the experimental data and a detailed study of the flow structures near peak efficiency and near stall is presented. The calculated overall aerodynamic efficiency and three-dimensional shock system agree well with the laser anemometer data.