• 제목/요약/키워드: influence functions method

검색결과 235건 처리시간 0.024초

Influence in Fitting an Equicorrelation Model

  • Kim, Myung Geun;Jung, Kang-Mo
    • Communications for Statistical Applications and Methods
    • /
    • 제8권3호
    • /
    • pp.841-849
    • /
    • 2001
  • The influence in fitting an equicorrelation model is investigated using the influence function. The influence functions for the model parameters are derived and its sample versions are used for investigating the influence of observations on the estimators of the parameters. Some relationships among the sample versions are found. We will derive a measure for identifying observations that have a large influence on the test of fitting the equicorrelation model using the influence function method. An example is given for illustration.

  • PDF

Buckling analysis of arbitrary point-supported plates using new hp-cloud shape functions

  • Jamshidi, Sajad;Fallah, N.
    • Structural Engineering and Mechanics
    • /
    • 제70권6호
    • /
    • pp.711-722
    • /
    • 2019
  • Considering stress singularities at point support locations, buckling solutions for plates with arbitrary number of point supports are hard to obtain. Thus, new Hp-Cloud shape functions with Kronecker delta property (HPCK) were developed in the present paper to examine elastic buckling of point-supported thin plates in various shapes. Having the Kronecker delta property, this specific Hp-Cloud shape functions were constructed through selecting particular quantities for influence radii of nodal points as well as proposing appropriate enrichment functions. Since the given quantities for influence radii of nodal points could bring about poor quality of interpolation for plates with sharp corners, the radii were increased and the method of Lagrange multiplier was used for the purpose of applying boundary conditions. To demonstrate the capability of the new Hp-Cloud shape functions in the domain of analyzing plates in different geometry shapes, various test cases were correspondingly investigated and the obtained findings were compared with those available in the related literature. Such results concerning these new Hp-Cloud shape functions revealed a significant consistency with those reported by other researchers.

무차원 동영향 함수를 이용한 자유단 경계를 가진 임의 형상 평판의 자유진동해석 (Free Vibration Analysis of Arbitrarily Shaped Plates with Free Edges Using Non-dimensional Dynamic Influence Functions)

  • 강상욱;김일순;이장무
    • 한국소음진동공학회논문집
    • /
    • 제13권10호
    • /
    • pp.821-827
    • /
    • 2003
  • The so-called boundary node method (or NDIF method) that was developed by the authors has been extended for free vibration analysis of arbitrarily shaped plates with free edges. Since the proposed method requires no interpolation functions. no integration Procedure is needed on boundary edges of the plates and only a small amount of numerical calculation is involved, compared with FEM and BEM. In order to explain tile reason why spurious eigenvalues are generated when the NDIF method is applied to free plates, the NDIF method has been considered for free vibration analysis of both a fixed string and a free beam. Finally, verification examples show that natural frequencies obtained by the present method agree well with those given by an exact method or a numerical method (ANSYS).

무요소법(RPIM)을 이용한 구조 요소의 응력해석 (A Stress Analysis of Structural Element Using Meshfree Method(RPIM))

  • 한상을;이상주;주정식
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 2007년도 정기 학술대회 논문집
    • /
    • pp.495-500
    • /
    • 2007
  • A Meshfree is a method used to establish algebraic equations of system for the whole problem domain without the use of a predefined mesh for the domain discretization. A point interpolation method is based on combining radial and polynomial basis functions. Involvement of radial basis functions overcomes possible singularity. Furthermore, the interpolation function passes through all scattered points in an influence domain and thus shape functions are of delta function property. This makes the implementation of essential boundary conditions much easier than the meshfree methods based on the moving least-squares approximation. This study aims to investigate a stress analysis of structural element between a meshfree method and the finite element method. Examples on cantilever type plate and stress concentration problems show that the accuracy and convergence rate of the meshfree methods are high.

  • PDF

경험적 영향함수와 표본영향함수의 차이 및 보정에 관한 연구 (A study on the difference and calibration of empirical influence function and sample influence function)

  • 강현석;김홍기
    • 응용통계연구
    • /
    • 제33권5호
    • /
    • pp.527-540
    • /
    • 2020
  • 이상치에 대한 적절한 선별과 배제없이 모든 데이터를 종합적으로 분석하게 되는 경우 데이터 분석을 통해 얻은 결과의 신뢰성과 해석의 일반성에 치명적인 위협을 받을 수 있다. 따라서 데이터의 분석 과정에서 이러한 이상치를 판별하고, 이상치가 통계량, 통계적 모형에 어떠한 영향을 주는 지에 대한 분석은 매우 중요한 일이라 할 수 있다. Hampel이 영향함수를 활용하여 이상치를 판별할 수 있는 방법을 소개한 이후, 이상치를 판별하기 위한 방법론으로 영향함수가 폭넓게 활용되어 왔다. 영향함수에는 경험적 영향함수와 표본영향함수가 있으며, 경험적 영향함수를 활용해 표본영향함수를 근사 추론하여 하나의 관측값이 제거되었을 때 통계량에 미치는 영향을 예측하는 방법론이 주로 활용되었다. 본 연구에서는 표본평균, 표본분산, 표본표준편차의 표본영향함수 유도를 통해 경험적 영향함수와 표본영향함수의 차이를 살펴 본다. 또한 경험적 영향함수로 표본영향함수를 근사하는 과정에서 발생하는 오차를 줄이기 위해 경험적 영향함수의 보정으로 표본영향함수를 근사 추론하는 방법을 제안하고, 모의실험을 통해 제안한 추론 방법의 타당성을 확인한다.

경험적 영향함수와 표본영향함수 간 차이 보정의 t통계량으로의 확장 (Extending the calibration between empirical influence function and sample influence function to t-statistic)

  • 강현석;김홍기
    • 응용통계연구
    • /
    • 제34권6호
    • /
    • pp.889-904
    • /
    • 2021
  • 본 연구는 Kang과 Kim (2020)의 후속 연구이다. 본 연구에서는 기존 연구에서 직접 유도하지 않았던 통계량의 표본영향함수를 유도한다. 그리고 이 결과를 바탕으로 경험적 영향함수와 표본영향함수는 어떠한 관계를 가지고 있는지 이론적으로 살펴보고, 경험적 영향함수를 통해 표본영향함수를 근사시켜 추정하는 방안에 대해 생각해 본다. 또한, 임의추출한 300개의 데이터를 바탕으로 모의실험을 통해 유도한 함수와 그 관계에 대한 그 타당성도 검증한다. 모의실험 결과 t통계량으로부터 유도한 표본영향함수와 경험적 영향함수와의 관계 및 경험적 영향함수를 통한 표본영향함수의 근사 방안에 대한 타당성도 검증해 냈다. 본 연구는 경험적 영향함수를 이용한 표본영향함수의 근사에서 오차를 줄이기 위한 방안을 제안하고 그 타당성을 검증하였으며, 이를 통해 기존의 연구에서 경험적 영향함수로 표본영향함수를 바로 근사시켰던 연구 방법에 효과적인 근사 방안을 제안한 점에서 의의를 갖는다.

인지활동을 병행한 가상현실 프로그램이 노인의 균형 능력에 미치는 영향 (A Study on The Influence of Virtual Program Accompanied by Cognitive Activities on The Balance of Elderly)

  • 김보라
    • 대한통합의학회지
    • /
    • 제1권4호
    • /
    • pp.49-56
    • /
    • 2013
  • Purpose : This study aimed to understand the influence of the virtual reality program combined with cognitive activity on elderly people's balance ability. Method : We randomly divided 14 elderly people receiving daytime protection service from D daytime protection center for senior citizens located in Busan-si into a group(seven) with cognitive activity combined with virtual reality program, and the other group(seven) with only virtual reality program. In order to compare the balance ability before/after the therapeutic intervention, the Berg Balance Scale was carried out. The Mini-Mental State Examination-Korea(MMSE-K) was also conducted to compare their cognitive functions. Result : Both groups showed statistically significant differences in balance ability before/after the therapeutic intervention(p<.05) while there were no statistically significant differences in balance ability after the therapeutic intervention(p>.05). The cognitive functions before/after the therapeutic intervention were not statistically significantly different in both groups(p>.05). Conclusion : The findings showed that the application of virtual reality program combined with cognitive activity could improve elderly people's balance ability. It is considered that the application of virtual reality program can have positive influence on the improvement of elderly people's balance ability, as an intervention method for improving balance ability in the future.

Optimum study on wind-induced vibration control of high-rise buildings with viscous dampers

  • Zhou, Yun;Wang, DaYang;Deng, XueSong
    • Wind and Structures
    • /
    • 제11권6호
    • /
    • pp.497-512
    • /
    • 2008
  • In this paper, optimum methods of wind-induced vibration control of high-rise buildings are mainly studied. Two optimum methods, genetic algorithms (GA) method and Rayleigh damping method, are firstly employed and proposed to perform optimum study on wind-induced vibration control, six target functions are presented in GA method based on spectrum analysis. Structural optimum analysis programs are developed based on Matlab software to calculate wind-induced structural responses. A high-rise steel building with 20-storey is adopted and 22 kinds of control plans are employed to perform comparison analysis to validate the feasibility and validity of the optimum methods considered. The results show that the distributions of damping coefficients along structural height for mass proportional damping (MPD) systems and stiffness proportional damping (SPD) systems are entirely opposite. Damping systems of MPD and GAMPD (genetic algorithms and mass proportional damping) have the best performance of reducing structural wind-induced vibration response and are superior to other damping systems. Standard deviations of structural responses are influenced greatly by different target functions and the influence is increasing slightly when higher modes are considered, as shown fully in section 5. Therefore, the influence of higher modes should be considered when strict requirement of wind-induced vibration comfort is needed for some special structures.

두개의 공분산 행렬의 동질성 검정에서의 영향치 분석 (Influence in Testing the Equality of Two Covariance Matrices)

  • Myung Geun Kim
    • 응용통계연구
    • /
    • 제7권2호
    • /
    • pp.213-224
    • /
    • 1994
  • 두개의 공분산 행렬의 동질성을 검정하는데 있어서, influence curve 방법을 이용하여 outlier를 찾는데 유용한 진단법을 제시한다. 이러한 진단법은 두개 이상의 공분산 행렬의 경우에 쉽게 일반화된다. 경험적 분포함수에 입각한 진단법의 sample version을 고려하며, 이것은 Wilks가 제안한 한개의 outlier를 찾는데 필요한 통계량과 두개의 모집단의 경우로 일반화된 Wilks 통계량을 포함한다.

  • PDF