• 제목/요약/키워드: Multiple eigenvalue

검색결과 92건 처리시간 0.021초

임의의 위치에 가상 인텐시티 형성 방법: 방법론과 그 물리적 의미 (A method to generate virtual intensity at arbitrary position: Methodology and its physical meanings)

  • 최정우;김양한
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 2003년도 춘계학술대회논문집
    • /
    • pp.652-657
    • /
    • 2003
  • This paper proposes a method to generate virtual intensity field in space. The sound field of a zone enclosing the listener position is controlled to have maximum acoustic intensity to the desired direction. In order to control acoustic intensity of a zone, space-averaged active intensity is introduced. The ratio of space-averaged active intensity and control effort is defined as a cost function and expressed as a function of source control signals. It is shown that the cost function represents radiation efficiency of multiple sources. The control signals maximizing the cost function is found through eigenvalue analysis. The proposed method is verified by numerical simulations performed in free field condition, and the results provide a relation between wavelength and the size of controllable intensity field.

  • PDF

Highly Efficient and Precise DOA Estimation Algorithm

  • Yang, Xiaobo
    • Journal of Information Processing Systems
    • /
    • 제18권3호
    • /
    • pp.293-301
    • /
    • 2022
  • Direction of arrival (DOA) estimation of space signals is a basic problem in array signal processing. DOA estimation based on the multiple signal classification (MUSIC) algorithm can theoretically overcome the Rayleigh limit and achieve super resolution. However, owing to its inadequate real-time performance and accuracy in practical engineering applications, its applications are limited. To address this problem, in this study, a DOA estimation algorithm with high parallelism and precision based on an analysis of the characteristics of complex matrix eigenvalue decomposition and the coordinate rotation digital computer (CORDIC) algorithm is proposed. For parallel and single precision, floating-point numbers are used to construct an orthogonal identity matrix. Thus, the efficiency and accuracy of the algorithm are guaranteed. Furthermore, the accuracy and computation of the fixed-point algorithm, double-precision floating-point algorithm, and proposed algorithm are compared. Without increasing complexity, the proposed algorithm can achieve remarkably higher accuracy and efficiency than the fixed-point algorithm and double-precision floating-point calculations, respectively.

도시공원에서 벤치의 시각적 만족도에 영향을 미치는 요인 (Factors Affecting Visual Satisfaction of Benches at Urban Park)

  • 유상완;권상준;정정섭
    • 한국조경학회지
    • /
    • 제28권3호
    • /
    • pp.88-96
    • /
    • 2000
  • The objective of this study is to evaluate the preference and visual characteristic of users according to the location of benches at urban community parks. The types of benches are separated into four patterns and located in four representative places at urban community parks. Each relations between visual preference and adjective related factors are calibrated by the estimated results of Pearson correlation coefficient. Moreover, the factors which affect the visual preference are obtained by multiple regression analysis and to calibrate the each factors significant level, the method of multivariate variance analysis is applied. The results of this study are summzrized as belows: 1. Four types of factors which consist the visual characteristic are classified as emotional factor of visual images(aesthetic factor(F1), texture related factor(F2)) and physical factor(physical factor(F3), transformable factor(F4)). Each factor's eigenvalue is appears as 5.27∼1.78 and the eigenvalue of emotional factor of visual images is more higher than the physical factor. 2. The correlation coefficient between visual preference according to the location of benches(X21) and aesthetic factor(f1) is estimated as 0.79, which is highest value among the four factors. And the correlation coefficient of texture related factor(f2), physical factor(F3) and transformable factor(F4) is estimated as 0.14, 0.04 and 0.08 respectively. 3. The visual preference of users according to the location of benches is greatly affected by the emotional factor of visual images(F1, F2) and the physical factor(F3, F4) are poorly related. The results of this study suggest the effective guidelines for the location of leisure facilities. Moreover the design and planning of leisure facilities at the urban community park have to be reexamined. What must be examined from now on is as follows: First, the preference research of rest facilities in the urban park through the multiple approach must be carried out continuously. Second, the research about the visual quality of the environmental sight observed in sitting on the bench as well as the visual quality of the showed object and place needs to be supported. Nevertheless, through this study the utilization into the useful data of the plan and the design for the systematic disposition of landscape architecture equipments centered on the users can be expected.

  • PDF

SMIT를 활용한 지진하중을 받는 전단 구조물의 응답모드 특성에 관한 연구 (Application Studies on Structural Modal Identification Toolsuite for Seismic Response of Shear Frame Structure)

  • 장민우
    • 한국지진공학회논문집
    • /
    • 제22권3호
    • /
    • pp.201-210
    • /
    • 2018
  • The improvement in computing systems and sensor technologies devotes to conduct data-driven structural health monitoring algorithms for existing civil infrastructures. Despite of the development of techniques, the uncertainty oriented from the measurement results in the discrepancy to the actual structural parameters and let engineers or decision makers hesitate to adopt such techniques. Many studies have shown that the modal identification results can be affected by the uncertainties due to the applied methods and the types of loading. This paper aims to compare the performance of modal identification methods using Structural Modal Identification Toolsuite (SMIT) which has been developed to facilitate multiple identification methods with a user-friendly designed platform. The data fed into SMIT processes three stages for the comprehensive identification including preprocessing, eigenvalue estimation, and post-processing. The seismic and white noise response for shear frame model was obtained from numerical simulation. The identified modal parameters is compared to the actual modal parameters. In order to improve the quality of coherence in identified modal parameters, several hurdles including modal phase collinearity and extended modal amplitude coherence were introduced. Numerical simulation conducted on the 5 dof shear frame model were used to validate the effectiveness of using these parameters.

단면변형의 효과를 포함한 강상자형 거더의 엄밀한 해석 (An Exact Analysis of Steel Box Girders with the Effects of Distortional Deformation of Sections)

  • 진만식;이병주;김문영
    • 한국전산구조공학회논문집
    • /
    • 제17권1호
    • /
    • pp.11-20
    • /
    • 2004
  • 본 연구에서는 직선 강상자형 거더의 단면변형에 의한 변형 및 응력계산을 위한 Matlab 해석프로그램을 개발하고자 한다. 이를 위하여 단면변형이론을 요약하고 빔유사이론을 제시한다. 이후 탄성지반위의 보-기둥부재의 지배방정식을 제시하고, 일반화된 고유치해석을 통하여 집중 및 분포하중을 받는 보요소의 엄밀한 강성행렬을 계산한다. 본 연구의 효율성과 정확성을 입증하기 위하여 격벽을 갖는 상자형 거더의 뒤틀림응력을 계산하고 유한요소해와 비교한다.

상호결합형 신경망 모델을 이용한 실시간 도래방향 추정알고리즘에 관한 연구 (AOA Estimation Algorithm Using Interconnected Neural Network Model)

  • 정중식;임정빈;안영섭
    • 한국정보통신학회:학술대회논문집
    • /
    • 한국해양정보통신학회 2003년도 춘계종합학술대회
    • /
    • pp.111-114
    • /
    • 2003
  • 수신신호의 도래방향 추정기술 중 MUSIC과 ESPRIT와 같은 방법들은 수신신호 벡터로부터 얻어진 상관행렬의 고유치 분해를 통하여 도래방향을 정도 높게 추정할 수 있는 초고분해 알고리즘들로 잘 이용되어 왔다. 그러나 이러한 방법들이 대규모 2차원 어레이 안테나를 구성하는 경우 과다한 연산량으로 인하여 실시간 처리에 장애가 되고 있으며, 어레이 안테나의 물리적인 결함이 있는 경우 보정을 요구한다. 이러한 문제를 해결하기 위하여 신경망 모델을 이용한 도래망향 추정 방법들이 연구되어 왔으나, 복수의 신호가 존재할 경우 신경망 모델에 대한 대규모 학습량을 요구한다는 문제점이 있다. 본 연구에서는 상호결합형 신경망 모델을 이용하여 도래방향을 추정하기 위한 방법을 제안하고, 컴퓨터 시뮬레이션을 통하여 실시간 처리가능성을 논한다.

  • PDF

Damage assessment in periodic structures from measured natural frequencies by a sensitivity and transfer matrix-based method

  • Zhu, Hongping;Li, Lin;Wang, Dansheng
    • Structural Engineering and Mechanics
    • /
    • 제16권1호
    • /
    • pp.17-34
    • /
    • 2003
  • This paper presents a damage assessment procedure applied to periodic spring mass systems using an eigenvalue sensitivity-based method. The damage is directly related to the stiffness reduction of the damage element. The natural frequencies of periodic structures with one single disorder are found by adopting the transfer matrix approach, consequently, the first order approximation of the natural frequencies with respect to the disordered stiffness in different elements is used to form the sensitivity matrix. The analysis shows that the sensitivity of natural frequencies to damage in different locations depends only on the mode number and the location of damage. The stiffness changes due to damage can be identified by solving a set of underdetermined equations based on the sensitivity matrix. The issues associated with many possible damage locations in large structural systems are addressed, and a means of improving the computational efficiency of damage detection while maintaining the accuracy for large periodic structures with limited available measured natural frequencies, is also introduced in this paper. The incomplete measurements and the effect of random error in terms of measurement noise in the natural frequencies are considered. Numerical results of a periodic spring-mass system of 20 degrees of freedom illustrate that the proposed method is simple and robust in locating single or multiple damages in a large periodic structure with a high computational efficiency.

A function space approach to study rank deficiency and spurious modes in finite elements

  • Sangeeta, K.;Mukherjee, Somenath;Prathap, Gangan
    • Structural Engineering and Mechanics
    • /
    • 제21권5호
    • /
    • pp.539-551
    • /
    • 2005
  • Finite elements based on isoparametric formulation are known to suffer spurious stiffness properties and corresponding stress oscillations, even when care is taken to ensure that completeness and continuity requirements are enforced. This occurs frequently when the physics of the problem requires multiple strain components to be defined. This kind of error, commonly known as locking, can be circumvented by using reduced integration techniques to evaluate the element stiffness matrices instead of the full integration that is mathematically prescribed. However, the reduced integration technique itself can have a further drawback - rank deficiency, which physically implies that spurious energy modes (e.g., hourglass modes) are introduced because of reduced integration. Such instability in an existing stiffness matrix is generally detected by means of an eigenvalue test. In this paper we show that a knowledge of the dimension of the solution space spanned by the column vectors of the strain-displacement matrix can be used to identify the instabilities arising in an element due to reduced/selective integration techniques a priori, without having to complete the element stiffness matrix formulation and then test for zero eigenvalues.

Normal Mode Approach to the Stability Analysis of Rossby-Haurwitz Wave

  • Jeong, Hanbyeol;Cheong, Hyeong Bin
    • 한국지구과학회지
    • /
    • 제38권3호
    • /
    • pp.173-181
    • /
    • 2017
  • The stability of the steady Rossby-Haurwitz wave (R-H wave) in the nondivergent barotropic model (NBM) on the sphere was investigated with the normal mode method. The linearized NBM equation with respect to the R-H wave was formulated into the eigenvalue-eigenvector problem consisting of the huge sparse matrix by expanding the variables with the spherical harmonic functions. It was shown that the definite threshold R-H wave amplitude for instability could be obtained by the normal mode method. It was revealed that some unstable modes were stationary, which tend to amplify without the time change of the spatial structure. The maximum growth rate of the most unstable mode turned out to be in almost linear proportion to the R-H wave amplitude. As a whole, the growth rate of the unstable mode was found to increase with the zonal- and total-wavenumber. The most unstable mode turned out to consist of more-than-one zonal wavenumber, and in some cases, the mode exhibited a discontinuity over the local domain of weak or vanishing flow. The normal mode method developed here could be readily extended to the basic state comprised of multiple zonalwavenumber components as far as the same total wavenumber is given.

Exploring Structure-Activity Relationships for the In vitro Cytotoxicity of Alkylphenols (APs) toward HeLa Cell

  • Kim, Myung-Gil;Shin, Hye-Seoung;Kim, Jae-Hyoun
    • Molecular & Cellular Toxicology
    • /
    • 제5권1호
    • /
    • pp.14-22
    • /
    • 2009
  • In vitro cytotoxicity of 23 alkyl phenols (APs) on human cervical cancer cell lines (HeLa) was determined using the lactate dehydrogenase (LDH) cytotoxicity assay. Two different sets of descriptors were used to construct the calibration model based on Genetic Algorithm-Multiple Linear Regression (GA-MLR) based on the experimental data. A statistically robust Structure-Activity Relationships (QSAR) model was achieved ($R^2$=95.05%, $Q^2_{LOO}$=91.23%, F=72.02 and SE= 0.046) using three Dragon descriptors based on Me (0D-Constitutional descriptor), BELp8 (2D-Burden eigenvalue descriptor) and HATS8p (3D-GETAWAY descriptor). However, external validation could not fully prove its validity of the selected QSAR in characterization of the cytotoxicity of APs towards HeLa cells. Nevertheless, the cytotoxicity profiles showed a finding that 4-n-octylphenol (4-NOP), 4-tert-octyl-phenol (4-TOP), 4-n-nonylphenol (4-NNP) had a more potent cytotoxic effect than other APs tested, inferring that increased length and molecular bulkiness of the substituent had important influence on the LDH cytotoxicity.