• 제목/요약/키워드: Projection Equation

검색결과 105건 처리시간 0.022초

영천 측백림의 직경 및 흉고단면적 생장추정 (Estimation of Diameter and Basal Area Growth Pattern for Thuja orientalis Stand Grown in Yeongcheon)

  • 이상현;이회선;김현;최수임;조영진;임호섭
    • 한국산림과학회지
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    • 제96권1호
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    • pp.29-33
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    • 2007
  • 본 연구는 천연기념물(62호)인 충북 영천리 측백나무(Thuja orientalis)림의 직경과 흉고단면적 생장모형을 추정하여 측백림의 관리에 필요한 기초 자료를 제공하고자 45본의 표준목을 선발하여 생장추를 이용하여 목편을 채취한 후 기초(non-overlapping) data와 데이터 재배열을 통한 overlapping data를 이용하여 최적의 흉고직경과 흉고단면적 추정식을 선정하였다. 동형 및 다형의 비선형 생장식을 데이터에 적합한 결과 overlapping data를 이용한 다형 방정식이 우수한 적합성을 보였다. 흉고직경 생장은 Schnmacher 다형 방정식인 $D_2={\exp}({\ln}(D_1)(T_1/T_2)^{0.4495}+3.8535(1-(T_1/T_2)^{0.4495}))$, 흉고단면적 생장은 Schnmacher 다형 방정식인 $BA_2={\exp}({\ln}(BA_1)(T_1/T_2)^{0.1235}+11.3793(1-(T_1/T_2)^{0.1235}))$가 가장 우수한 식으로 판명되었다. 본 연구에서 제시된 측백림의 흉고직경과 흉고단면적 생장식은 천연기념물인 측백림의 관리 경영에 필요한 정보로 이용할 수 있을 것으로 판단된다.

효율적으로 방위각 이노베이션을 구하는 다중표적 방위각 추적 알고리즘 (Multiple Target Angle Tracking Algorithm with Efficient Equation for Angular Innovation)

  • 유창수;이장식;이균경
    • 전자공학회논문지SC
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    • 제38권6호
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    • pp.1-8
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    • 2001
  • 최근에 Ryu 등은 추정된 신호부공간(signal subspace)으로부터 구한 방위각 이노베이션을 이용하여 다중표적의 방위각을 추적하는 알고리즘을 제안하였다. 이 알고리즘은 데이터를 연관시키면서 동시에 표적의 방위각을 구하기 때문에 기존의 추적 알고리즘과 달리 별도의 데이터연관 기법이 필요 없으며, 구조가 간단하다는 장점을 가지고 있다. 그러나 표적의 개수가 N일 때, 각 표적의 방위각 이노베이션을 구하기 위하여 차원이 (2N+1)${\times}$(2N+1)인 실행렬의 역행렬을 구하는 것이 필요하다. 본 논문에서는 표적의 조향벡터를 신호부공간에 투영할 때, 투영오차가 0이 된다는 사실로부터 방위각 이노베이션을 구하기 위한 새로운 선형 방정식을 제안하였다. 제안한 새로운 선형방정식은 Ryu의 알고리즘에서 사용하는 식과는 달리 한 개의 방위각 이노베이션만을 변수로 사용하기 때문에 역행렬을 구할 필요가 없고 효율적이다.

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An improved extended Kalman filter for parameters and loads identification without collocated measurements

  • Jia He;Mengchen Qi;Zhuohui Tong;Xugang Hua;Zhengqing Chen
    • Smart Structures and Systems
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    • 제31권2호
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    • pp.131-140
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    • 2023
  • As well-known, the extended Kalman filter (EKF) is a powerful tool for parameter identification with limited measurements. However, traditional EKF is not applicable when the external excitation is unknown. By using least-squares estimation (LSE) for force identification, an EKF with unknown input (EKF-UI) approach was recently proposed by the authors. In this approach, to ensure the influence matrix be of full column rank, the sensors have to be deployed at all the degrees-of-freedom (DOFs) corresponding to the unknown excitation, saying collocated measurements are required. However, it is not easy to guarantee that the sensors can be installed at all these locations. To circumvent this limitation, based on the idea of first-order-holder discretization (FOHD), an improved EKF with unknown input (IEKF-UI) approach is proposed in this study for the simultaneous identification of structural parameters and unknown excitation. By using projection matrix, an improved observation equation is obtained. Few displacement measurements are fused into the observation equation to avoid the so-called low-frequency drift. To avoid the ill-conditioning problem for force identification without collocated measurements, the idea of FOHD is employed. The recursive solution of the structural states and unknown loads is then analytically derived. The effectiveness of the proposed approach is validated via several numerical examples. Results show that the proposed approach is capable of satisfactorily identifying the parameters of linear and nonlinear structures and the unknown excitation applied to them.

레이저 구조광을 이용한 3차원 컴퓨터 시각 형상정보 연속 측정 시스템 개발 (Development of the Computer Vision based Continuous 3-D Feature Extraction System via Laser Structured Lighting)

  • 임동혁;황헌
    • Journal of Biosystems Engineering
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    • 제24권2호
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    • pp.159-166
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    • 1999
  • A system to extract continuously the real 3-D geometric fearture information from 2-D image of an object, which is fed randomly via conveyor has been developed. Two sets of structured laser lightings were utilized. And the laser structured light projection image was acquired using the camera from the signal of the photo-sensor mounted on the conveyor. Camera coordinate calibration matrix was obtained, which transforms 2-D image coordinate information into 3-D world space coordinate using known 6 points. The maximum error after calibration showed 1.5 mm within the height range of 103mm. The correlation equation between the shift amount of the laser light and the height was generated. Height information estimated after correlation showed the maximum error of 0.4mm within the height range of 103mm. An interactive 3-D geometric feature extracting software was developed using Microsoft Visual C++ 4.0 under Windows system environment. Extracted 3-D geometric feature information was reconstructed into 3-D surface using MATLAB.

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Partitioned coupling strategies for fluid-structure interaction with large displacement: Explicit, implicit and semi-implicit schemes

  • He, Tao
    • Wind and Structures
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    • 제20권3호
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    • pp.423-448
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    • 2015
  • In this paper the unsteady fluid-structure interaction (FSI) problems with large structural displacement are solved by partitioned solution approaches in the arbitrary Lagrangian-Eulerian finite element framework. The incompressible Navier-Stokes equations are solved by the characteristic-based split (CBS) scheme. Both a rigid body and a geometrically nonlinear solid are considered as the structural models. The latter is solved by Newton-Raphson procedure. The equation governing the structural motion is advanced by Newmark-${\beta}$ method in time. The dynamic mesh is updated by using moving submesh approach that cooperates with the ortho-semi-torsional spring analogy method. A mass source term (MST) is introduced into the CBS scheme to satisfy geometric conservation law. Three partitioned coupling strategies are developed to take FSI into account, involving the explicit, implicit and semi-implicit schemes. The semi-implicit scheme is a mixture of the explicit and implicit coupling schemes due to the fluid projection splitting. In this scheme MST is renewed for interfacial elements. Fixed-point algorithm with Aitken's ${\Delta}^2$ method is carried out to couple different solvers within the implicit and semi-implicit schemes. Flow-induced vibrations of a bridge deck and a flexible cantilever behind an obstacle are analyzed to test the performance of the proposed methods. The overall numerical results agree well with the existing data, demonstrating the validity and applicability of the present approaches.

Eigenanalysis 방식의 적응 SLC(sidelobe canceller) 시스템의 적용에 따른 성능향상 및 RLS 방식과외 비교에 관한 연구 (A Study on Performance Improvement of Adaptive SLC System Using Eigenanalysis Method and Comparing with RLS Method)

  • 정신철;김세연;이병섭
    • 한국항행학회논문지
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    • 제5권2호
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    • pp.111-122
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    • 2001
  • 본 논문에서는 가중치 벡터를 계산하기 위하여 고유벡터와 고유값을 이용하는 Eigencanceller 방식의 성능을 평가하였다. Eigencanceller는 빔 패턴에 대한 제한조건들은 유지한 채 잡음이나 간섭신호에 대한 효과적인 제거를 제공한다. 그리고 Eigencanceller는 배열입력으로 간섭신호와 잡음이 수신되는 경우, 그리고 희망신호, 간섭신호 그리고 잡음이 수신되는 경우에 따라 각각 제한조건들이 달라지게 되고 최적의 가중치에 대한 해도 달라진다. 각각의 경우에 가중치 벡터에 대한 정상상태에서의 분석을 통해서 희망 신호의 유, 무에 관계없이 최적의 가중치 벡터에 대한 식들은 모두 동일하게 간섭신호에 직교하는 부공간(subspace)으로의 희망신호의 사영의 형태로 간략화 됨을 수식으로 증명하였다. 그리고 Eigencanceller구조가 RLS(Recursive Least-Square)방식보다도 우수한 성능을 보임을 수학적인 분석과 시뮬레이션을 통해 살펴보았다.

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Eigenanalysis 방식을 이용한 적응 SLC(sidelobe canceller)시스템의 성능향상에 관한 연구 (A Study on Performance Improvement of Adaptive SLC System using Eigenanalysis Method)

  • 김세연;정신철;이병섭
    • 한국전자파학회논문지
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    • 제12권5호
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    • pp.694-704
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    • 2001
  • 본 논문에서는 상세화된 빔 패턴에 대한 제한조건들은 유지한 채 잡음이나 간섭신호에 대한 효과적인 제거를 제공하는 Eigencanceller의 성능을 평가하였다. Eigencanceller는 배열입력으로 간섭신호와 잡음이 수신되는 경우와 희망신호, 간섭신호 그리고 잡음이 수신되는 경우에 따라 제한조건들이 달라지게 되고 최적의 가중치에 대한 해도 달라진다. 각각의 경우에 가중치 벡터에 대한 정상상태에서의 분석을 통해서 희망 신호의 유.무에 관계없이 최적의 가중치 벡터에 대한 식들은 모두 동일하게 간섭신호에 직교하는 부분공간(subspace)으로의 희망신호의 사영의 형태로 간략화 됨을 알 수 있었다. 그리고 Eigencanceller구조가 DMI(direct matrix inversion)방식보다도 우수한 성능을 보임을 수학적인 분석가 시뮬레이션을 통해 살펴보았다.

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LINKING EVALUATION OF SUBJECTIVE TIRE TESTS ON THE ROAD WITH OBJECTIVELY MEASURED DATA

  • Stumpf, H.W.
    • International Journal of Automotive Technology
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    • 제2권1호
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    • pp.17-23
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    • 2001
  • Measurements of the initial values lead to an inverse and mathematically unprecisely formulated problem. A precise definition of an inverse problem is possible. It is to state a mathematical model of a physical process with clearly defined initial and exit values for the system behind the process. One can grasp the idea of an inverse problem by considering the tire as a copy of the objects of nature in a room with observations. Interpretation of nature is generally a result of an inverse problem. On one hand, the tire may be represented through the sensory organs and the nervous system as well as the experiences of the developer's existing apparatus of the projection of reality. On the other hand, it may be represented by a physical law or a model that can be confirmed or is to be refuted with the help of suitable measurements. During reconstruction of a measuring signal and the identification of a black box that can be assumed to be linear and causal, the tire becomes a first type Volterra integral equation of the convolution type. But measurements of the initial values are always fuzzy, the errors grow and the system behavior can no longer be forecasted. Thus, we have to deal with a chaotic system. This chaos produces fractals in a natural way. These are self-similar geometric structures. This self-similarity is clearly visible in the design.

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ISPH법을 이용한 2차원 비압축성 유체 유동의 수치시뮬레이션 기법 연구 (A Study on the Numerical Simulation Method of Two-dimensional Incompressible Fluid Flows using ISPH Method)

  • 김철호;이영길;정광열
    • 대한조선학회논문집
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    • 제48권6호
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    • pp.560-568
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    • 2011
  • In SPH(Smoothed Particle Hydrodynamics) method, the fluid has been assumed that it is weakly compressible to solve the basic equations composed of Navier-Stokes equations and continuity equation. That leads to some drawbacks such as non-physical pressure fluctuations and a restriction as like small time steps in computation. In this study, to improve these problems we assume that the fluid is incompressible and the velocity-pressure coupling problem is solved by a projection method(that is, by ISPH method). The two-dimensional computation results of dam breaking and gravitational wave generation are respectively compared with the results of finite volume method and analytical method to confirm the accuracy of the present numerical computation technique. And, the agreements are comparatively acceptable. Subsequently, the green water simulations of a two-dimensional fixed barge are carried out to inspect the possibility of practical application to ship hydrodynamics, those correspond to one of the violent free surface motions with impact loads. The agreement between the experimental data and the present computational results is also comparatively good.

An improved Kalman filter for joint estimation of structural states and unknown loadings

  • He, Jia;Zhang, Xiaoxiong;Dai, Naxin
    • Smart Structures and Systems
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    • 제24권2호
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    • pp.209-221
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    • 2019
  • The classical Kalman filter (KF) provides a practical and efficient way for state estimation. It is, however, not applicable when the external excitations applied to the structures are unknown. Moreover, it is known the classical KF is only suitable for linear systems and can't handle the nonlinear cases. The aim of this paper is to extend the classical KF approach to circumvent the aforementioned limitations for the joint estimation of structural states and the unknown inputs. On the basis of the scheme of the classical KF, analytical recursive solution of an improved KF approach is derived and presented. A revised form of observation equation is obtained basing on a projection matrix. The structural states and the unknown inputs are then simultaneously estimated with limited measurements in linear or nonlinear systems. The efficiency and accuracy of the proposed approach is verified via a five-story shear building, a simply supported beam, and three sorts of nonlinear hysteretic structures. The shaking table tests of a five-story building structure are also employed for the validation of the robustness of the proposed approach. Numerical and experimental results show that the proposed approach can not only satisfactorily estimate structural states, but also identify unknown loadings with acceptable accuracy for both linear and nonlinear systems.