• 제목/요약/키워드: Functions of matrices

검색결과 178건 처리시간 0.022초

고속도로 교통수요모형 구축을 위한 유전자 알고리즘 기반 TCS 차종별 최적 승용차환산계수 산정 (Estimation of Optimal Passenger Car Equivalents of TCS Vehicle Types for Expressway Travel Demand Models Using a Genetic Algorithm)

  • 김경현;윤정은;박재범;남승태;류종득;윤일수
    • 한국도로학회논문집
    • /
    • 제17권3호
    • /
    • pp.97-105
    • /
    • 2015
  • PURPOSES : The Toll Collection System (TCS) operated by the Korea Expressway Corporation provides accurate traffic counts between tollgates within the expressway network under the closed-type toll collection system. However, although origin-destination (OD) matrices for a travel demand model can be constructed using these traffic counts, these matrices cannot be directly applied because it is technically difficult to determine appropriate passenger car equivalent (PCE) values for the vehicle types used in TCS. Therefore, this study was initiated to systematically determine the appropriate PCE values of TCS vehicle types for the travel demand model. METHODS : To search for the appropriate PCE values of TCS vehicle types, a traffic demand model based on TCS-based OD matrices and the expressway network was developed. Using the traffic demand model and a genetic algorithm, the appropriate PCE values were optimized through an approach that minimizes errors between actual link counts and estimated link volumes. RESULTS : As a result of the optimization, the optimal PCE values of TCS vehicle types 1 and 5 were determined to be 1 and 3.7, respectively. Those of TCS vehicle types 2 through 4 are found in the manual for the preliminary feasibility study. CONCLUSIONS : Based on the given vehicle delay functions and network properties (i.e., speeds and capacities), the travel demand model with the optimized PCE values produced a MAPE value of 37.7%, RMSE value of 17124.14, and correlation coefficient of 0.9506. Conclusively, the optimized PCE values were revealed to produce estimates of expressway link volumes sufficiently close to actual link counts.

편심축하중을 받는 비대칭 박벽보의 엄밀한 동적강도행렬 (Exact Dynamic Stiffness Matrix of Nonsymmetric Thin-walled Beams Subjected to Eccentrically Axial Forces)

  • 김문영;윤희택
    • 한국강구조학회 논문집
    • /
    • 제13권6호
    • /
    • pp.703-713
    • /
    • 2001
  • 비대칭단면을 갖는 박벽 직선보의 3차원 자유진동해석을 수행하기 위하여 엄밀한 요소강도행렬을 유도한다. 단면이 균일한 비대칭 박벽 탄성보에 대하여 운동방정식, 힘-변위 관계식을 유도하고 엄밀한 동적강도행렬을 수치적으로 산정하는 방법을 제시한다. 14개의 변위파라미터를 도입하여 고차의 연립미분방정식을 1차 연립미분방정식으로 바꾸고, 비대칭행렬을 갖는 선형 고유치문제의 해를 복소수영역에서 구한다. 이를 이용하여 절점변위에 대한 처짐함수을 엄밀히 구하고, 재단력-변위 관계식을 이용하여 엄밀한 동적요소강도행렬을 산정한다. 본 방법의 타당성을 보이기 위하여 비대칭 박벽보의 고유진동수를 계산하고, 해석해, 혹은 3차 Hermitian 다항식을 사용한 보요소 및 ABAQUS를 사용한 유한요소 해석결과와 비교한다.

  • PDF

사각 링 마이크로스트립 안테나 해석 (Analysis of Rectangular Ring Microstrip Antenna)

  • 서동국;박병우
    • 한국전자파학회논문지
    • /
    • 제15권1호
    • /
    • pp.60-67
    • /
    • 2004
  • 본 논문에서는 디세그멘테이션 기법을 이용하여 사각 링 패치 안테나를 해석하였으며, 그린함수로부터의 직사각형 세그먼트의 임피던스 계산과 평면 전자기 구조체에 대한 디세그멘테이션 방법이 논의되고 있다. 사각 링 캐버티는 큰 사각형 캐버티에서 작은 사각형 캐버티를 빼낸 구조이므로, 사각형 캐버티에 대한 그린함수의 항으로 표현된 각각의 임피던스 행렬들에 다 단자 결합법을 적용하여 사각 링 캐버티의 전체 임피던스 매트릭스를 구한다. 전자계는 8개 경계조건을 만족하는 벡터 포텐셜로부터 구할 수 있다. 각 에지에서의 전자계 분포는 여기된 모드에 따라 막대 그래프로 표현하였다. 이 결과를 이용하여 사각 링 패치 안테나의 동작모드를 분석할 수 있다.

Detecting the Baryon Acoustic Oscillations in the N-point Spatial Statistics of SDSS Galaxies

  • Hwang, Se Yeon;Kim, Sumi;Sabiu, Cristiano G.;Park, In Kyu
    • 천문학회보
    • /
    • 제46권2호
    • /
    • pp.72.3-73
    • /
    • 2021
  • Baryon Acoustic Oscillations (BAO) are caused by acoustic density waves in the early universe and act as a standard ruler in the clustering pattern of galaxies in the late Universe. Measuring the BAO feature in the 2-point correlation function of a sample of galaxies allows us to estimate cosmological distances to the galaxies mean redshift, , which is important for testing and constraining the cosmology model. The BAO feature is also expected to appear in the higher order statistics. In this work we measure the generalized spatial N-point point correlation functions up to 4th order. We made measurements of the 2, 3, and 4-point correlation functions in the SDSS-III DR12 CMASS data, comprising of 777,202 galaxies. The errors and covariances matrices were estimated from 500 mock catalogues. We created a theoretical model for these statistics by measuring the N-point functions in halo catalogues produced by the approximate Lagrangian perturbation theory based simulation code, PINOCCHIO. We created simulations using initial conditions with and without the BAO feature. We find that the BAO is detected to high significance up to the 4-point correlation function.

  • PDF

Free vibration of tapered BFGM beams using an efficient shear deformable finite element model

  • Nguyen, Dinh Kien;Tran, Thi Thom
    • Steel and Composite Structures
    • /
    • 제29권3호
    • /
    • pp.363-377
    • /
    • 2018
  • An efficient and free of shear locking finite element model is developed and employed to study free vibration of tapered bidirectional functionally graded material (BFGM) beams. The beam material is assumed to be formed from four distinct constituent materials whose volume fraction continuously varies along the longitudinal and thickness directions by power-law functions. The finite element formulation based on the first-order shear deformation theory is derived by using hierarchical functions to interpolate the displacement field. In order to improve efficiency and accuracy of the formulation, the shear strain is constrained to constant and the exact variation of the cross-sectional profile is employed to compute the element stiffness and mass matrices. A comprehensive parametric study is carried out to highlight the influence of the material distribution, the taper and aspect ratios as well as the boundary conditions on the vibration characteristics. Numerical investigation reveals that the proposed model is efficient, and it is capable to evaluate the natural frequencies of BFGM beams by using a small number of the elements. It is also shown that the effect of the taper ratio on the fundamental frequency of the BFGM beams is significantly influenced by the boundary conditions. The present results are of benefit to optimum design of tapered FGM beam structures.

서울 도심의 경계, 기능 및 내부구조 (Boundary, Functions and Internal Structure of CBD in Seoul)

  • 주경식;서민철
    • 대한지리학회지
    • /
    • 제33권1호
    • /
    • pp.41-56
    • /
    • 1998
  • 본 논문은 1990년대의 서울 중심업무지구의 경계를 설정하고 그 내부 소구역의 기능상의 특성 및 내부구조를 밝힌 연구이다. 서울은 한국 자본주의의 중심이며 그 중요 기능은 서울중에서도 도심부에 집적되어 있다. 서울 도심부의 위치는 종로${\cdot}$중구를 중심으로 하는 곳이다. 도심부의 평면적 범위는 고층화, 도심재개발, 부심의 성장, 대기업화, 다지역 기업 체제의 할성화 및 도심기능의 입지상 공간적 제약으로 그다지 확대되지 않았지만, 고차적인 도심기능은 더욱 집중되고 있다. 서울 도심의 내부구조는 핵심부, 소매업 특화지구, 사무실 특화지구, 서비스 특화지구, 제조업 특화지구 등 몇 개의 기능상의 특화지고로 구분되며, 이들 기능지구들이 상호의존적으로 결합되어 있으며, 발생적으로는 서울의 도시발달의 과정을 고려해야 그 특성이 파악된다.

  • PDF

Neuropsychological Assessment of Adult Patients with Shunted Hydrocephalus

  • Bakar, Emel Erdogan;Bakar, Bulent
    • Journal of Korean Neurosurgical Society
    • /
    • 제47권3호
    • /
    • pp.191-198
    • /
    • 2010
  • Objective : This study is planned to determine the neurocognitive difficulties of hydrocephalic adults. Methods : The research group contained healthy adults (control group, n : 15), and hydrocephalic adults (n : 15). Hydrocephalic group consisted of patients with idiopathic aquaduct stenosis and post-meningitis hydrocephalus. All patients were followed with shunted hydrocephalus and not gone to shunt revision during last two years. They were chosen from either asymptomatic or had only minor symptoms without motor and sensorineural deficit. A neuropsychological test battery (Raven Standart Progressive Matrices, Bender-Gestalt Test, Cancellation Test, Clock Drawing Test, Facial Recognition Test, Line Orientation Test, Serial Digit Learning Test, Stroop Color Word Interference Test-TBAG Form, Verbal Fluency Test, Verbal Fluency Test, Visual-Aural Digit Span Test-B) was applied to all groups. Results : Neuropsychological assessment of hydrocephalic patients demonstrated that they had poor performance on visual, semantic and working memory, visuoconstructive and frontal functions, reading, attention, motor coordination and executive function of parietal lobe which related with complex and perseverative behaviour. Eventually, these patients had significant impairment on the neurocognitive functions of their frontal, parietal and temporal lobes. On the other hand, the statistical analyses performed on demographic data showed that the aetiology of the hydrocephalus, age, sex and localization of the shunt (frontal or posterior parietal) did not affect the test results. Conclusion : This prospective study showed that adult patients with hydrocephalus have serious neuropsychological problems which might be directly caused by the hydrocephalus; and these problems may cause serious adaptive difficulties in their social, cultural, behavioral and academic life.

Sensitivity of Conditions for Lumping Finite Markov Chains

  • Suh, Moon-Taek
    • 한국국방경영분석학회지
    • /
    • 제11권1호
    • /
    • pp.111-129
    • /
    • 1985
  • Markov chains with large transition probability matrices occur in many applications such as manpowr models. Under certain conditions the state space of a stationary discrete parameter finite Markov chain may be partitioned into subsets, each of which may be treated as a single state of a smaller chain that retains the Markov property. Such a chain is said to be 'lumpable' and the resulting lumped chain is a special case of more general functions of Markov chains. There are several reasons why one might wish to lump. First, there may be analytical benefits, including relative simplicity of the reduced model and development of a new model which inherits known or assumed strong properties of the original model (the Markov property). Second, there may be statistical benefits, such as increased robustness of the smaller chain as well as improved estimates of transition probabilities. Finally, the identification of lumps may provide new insights about the process under investigation.

  • PDF

Free vibration analysis of continuous bridge under the vehicles

  • Tan, Guojin;Wang, Wensheng;Jiao, Yubo;Wei, Zhigang
    • Structural Engineering and Mechanics
    • /
    • 제61권3호
    • /
    • pp.335-345
    • /
    • 2017
  • Free vibration analysis for continuous bridge under any number of vehicles is conducted in this paper. Calculation strategy for natural frequency and mode shape is proposed based on Euler-Bernoulli beam theory and numerical assembly method. Firstly, a half-car planar model is adopted; equations of motion and displacement functions for bridge and vehicle are established, respectively. Secondly, the undermined coefficient matrices for wheels, vehicles, intermediate support, left-end support and right-end support are derived. Then, the numerical assembly technique for conventional finite element method is adopted to construct the overall matrix of coefficients for whole system. Finally, natural frequencies and corresponding mode shapes are determined based on iterative method and overall matrix solution. Numerical simulation is presented to verify the effectiveness of the proposed method. The results reveal that the solutions of present method are exact ones. Natural frequencies and associate modal shapes of continuous bridge under different conditions of vehicles are investigated. The influences of vehicle parameters on natural frequencies are also demonstrated.

비대칭 박벽보에 대한 엄밀한 동적 강도행렬의 유도 (Derivation of Exact Dynamic Stiffness Matrix for Non-Symmetric Thin-walled Straight Beams)

  • 김문영;윤희택
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 2000년도 가을 학술발표회논문집
    • /
    • pp.369-376
    • /
    • 2000
  • For the general loading condition and boundary condition, it is very difficult to obtain closed-form solutions for buckling loads and natural frequencies of thin-walled structures because its behaviour is very complex due to the coupling effect of bending and torsional behaviour. Consequently most of previous finite element formulations introduced approximate displacement fields using shape functions as Hermitian polynomials, isoparametric interpoation function, and so on. The purpose of this study is to calculate the exact displacement field of a thin-walled straight beam element with the non-symmetric cross section and present a consistent derivation of the exact dynamic stiffness matrix. An exact dynamic element stiffness matrix is established from Vlasov's coupled differential equations for a uniform beam element of non-symmetric thin-walled cross section. This numerical technique is accomplished via a generalized linear eigenvalue problem by introducing 14 displacement parameters and a system of linear algebraic equations with complex matrices. The natural frequencies are evaluated for the non-symmetric thin-walled straight beam structure, and the results are compared with available solutions in order to verify validity and accuracy of the proposed procedures.

  • PDF