• 제목/요약/키워드: Linear system of equations

검색결과 844건 처리시간 0.035초

유연한 지지 구조와 유체 동압 베어링으로 지지되는 HDD의 회전 유연 디스크-스핀들 시스템에 대한 유한 요소 고유 진동 해석 (Finite Element Modal Analysis of a Spinning Flexible Disk-spindle System Supported by Hydro Dynamic Bearings and Flexible Supporting Structures in a HDD)

  • 한재혁;장건희
    • 한국소음진동공학회논문집
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    • 제15권3호
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    • pp.251-258
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    • 2005
  • The free vibration of a spinning flexible disk-spindle system supported by hydro dynamic bearings (HDB) in an HDD is analyzed by FEM. The spinning flexible disk is described using Kirchhoff plate theory and von Karman non-linear strain, and its rigid body motion is also considered. It is discretized by annular sector element. The rotating spindle which includes the clamp, hub, permanent magnet and yoke, is modeled by Timoshenko beam including the gyroscopic effect. The flexible supporting structure with a complex shape which includes stator core, housing, base plate, sleeve and thrust pad is modeled by using a 4-node tetrahedron element with rotational degrees of freedom to satisfy the geometric compatibility. The dynamic coefficients of HDB are calculated from the HDB analysis program, which solves the perturbed Reynolds equation using FEM. Introducing the virtual nodes and the rigid link constraints defined in the center of HDB, beam elements of the shaft are connected to the solid elements of the sleeve and thrust pad through the spring and damper element. The global matrix equation obtained by assembling the finite element equations of each substructure is transformed to the state-space matrix-vector equation, and the associated eigen value problem is solved by using the restarted Arnoldi iteration method. The validity of this research is verified by comparing the numerical results of the natural frequencies with the experimental ones. Also the effect of supporting structures to the natural modes of the total HDD system is rigorously analyzed.

유연한 지지 구조와 유체 동압 베어링으로 지지되는 HDD의 회전 유연 디스크-스핀들 시스템에 대한 유한 요소 고유 진동 해석 (Finite Element Modal Analysis of a Spinning Flexible Disk-Spindle System Supported by Hydro Dynamic Bearings and Flexible Supporting Structures In a HDD)

  • 한재혁;장건희
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2003년도 추계학술대회논문집
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    • pp.572-578
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    • 2003
  • The free vibration of a spinning flexible disk-spindle system supported by hydro dynamic bearings in a HDD is analyzed by FEM. The spinning flexible disk is described using Kirchhoff plate theory and von Karman non-linear strain, and its rigid body motion is also considered. It is discretized by annular sector element. The rotating spindle which includes the clamp, hub, permanent magnet and yoke, is modeled by Timoshenko beam including the gyroscopic effect. The flexible supporting structure with a complex shape which includes stator core, housing, base plate, sleeve and thrust pad is modeled by using a 4-node tetrahedron element with rotational degrees of freedom to satisfy the geometric compatibility. The dynamic coefficients of HDB are calculated from the HDB analysis program, which solves the perturbed Raynolds equation using FEM. Introducing the virtual nodes and the rigid link constraints defined in the center of HDB, beam elements of the shaft are connected to the solid elements of the sleeve and thrust pad through the spring and damper element. The global matrix equation obtained by assembling the finite element equations of each substructure is transformed to the state-space matrix-vector equation, and the associated eigenvalue problem is solved by using the restarted Arnoldi iteration method. The validity of this research is verified by comparing the numerical results of the natural frequencies with the experimental ones. Also the effect of supporting structures to the natural modes of the total HDD system is rigorously analyzed.

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음극방식 시스템에서의 압입관과 배관의 부식거동에 관한 수학적 모델링 (Mathematical Modeling on the Corrosion Behavior of the Steel Casing and Pipe in Cathodic Protection System)

  • 김영석;이선엽;박경완;전경수;고영태
    • 한국가스학회지
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    • 제2권1호
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    • pp.40-46
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    • 1998
  • 음극방식 시스템의 방식전류에 의한 압입구간내의 압입관과 배관의 부식거동에 관한 수학적 모델링을 경계요소법을 이용하여 수행하였다. 모델은 비선형 경계조건(Tafel 방정식)을 가진 라플라스 방정식으로 이루어져 있으며 압입관의 혼합전위를 구하기 위하여 혼합전위 이론을 응용한 반복법을 사용하였으며 그위에 비선형 경계조건에 대한 해석을 위하여 이중 반복법을 사용하였다. 모델은 정상적인 압입구간 뿐만 아니라 압입관과 배관과의 금속간 접촉(metal touch)이나 외부환경과 압입구간 내부를 격리시키는 절연부위의 손상과 같은 결함들을 가진 비정상적인 압입구간들에 대해서 적용되었다. 수학적 모델링의 결과로부터 압입구간에의 전위분포와 전류분포를 계산할 수 있었다. 모델링의 타당성을 증명하기 위하여 모사실험을 수행하였으며 실험조건내에서 이론적인 결과와 실험결과는 정성적으로 잘 일치하였다.

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OMI 위성자료를 활용한 서울 지표 이산화질소 혼합비 추정 연구 (Estimation of surface nitrogen dioxide mixing ratio in Seoul using the OMI satellite data)

  • 김대원;홍현기;최원이;박준성;양지원;류재용;이한림
    • 대한원격탐사학회지
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    • 제33권2호
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    • pp.135-147
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    • 2017
  • 본 연구에서는 처음으로 한반도 서울지역에서 OMI (Ozone Monitoring Instrument) 센서로 관측된 대류권 이산화질소 칼럼농도를 이용하여 OMI 센서의 관측시간인 13:45에서의 월 평균 및 일별 위성 지표 이산화질소 혼합비를 추정하였다. 본 연구에서는 세 가지 회귀모델들이 이용되었다. 첫 번째 회귀모델(M1)은 OMI 대류권 이산화질소 칼럼농도와 지점 측정값과의 선형회귀를 통한 회귀계수로 구성되어있다. 두번째 회귀모델(M2)은 OMI 대류권 이산화질소 칼럼농도와 AIRS (Atmospheric Infrared Sounder) 센서로 관측한 행성경계층 높이, 온도, 압력 자료 모두가 반영된 회귀모델이다. 세 번째 회귀모델(M3M, M3D)은 다중회귀모델로서 앞서 고려된 이산화질소 칼럼농도와 행성경계층 높이와 다양한 기상변수를 추가적으로 반영하는 회귀모델이다. 본 연구에서는 2009년에서 2011년까지를 회귀모델의 훈련기간으로 하여서 각 회귀식의 회귀계수를 도출하였으며 2012년도는 검증기간으로서 훈련기간에 도출된 회귀모델들의 성능을 평가하였다. 회귀모델들로 추정된 월 평균 지표 이산화질소 혼합비와 지점 관측소에서 지점 측정장비로 측정된 월평균 지표 이산화질소 혼합비와 가장 높은 상관성(avg. R = 0.77)을 보이는 회귀분석방법은 다중회귀분석방법(M3M)이다. 또한, 회귀모델들로 추정된 13:45에서의 일 지표 이산화질소 혼합비와 지점 관측소에서 지점장비로 측정된 지표 이산화질소 혼합비와 가장 좋은 상관성(avg. R = 0.55)을 보인 것도 다중회귀분석방법(M3D)이다. 회귀모델들로 추정된 지표 이산화질소 혼합비는 지점 측정값에 비해 과소추정 되는 경향이 나타났다. 회귀모델들로 추정된 지표 이산화질소 혼합비를 평가하기 위해 지점 측정값과의 RMSE (Root Mean Square Error), mean bias, MAE (Mean Absolute Error), percent difference와 같은 통계분석을 실시하였다. 본 연구는 위성을 통한 지표 이산화질소 혼합비 산출 가능성을 보여준다.

Study of the Robustness Bounds with Lyapunoved-Based Stability Concept

  • Jo, Jang-Hyen
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2005년도 ICCAS
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    • pp.700-705
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    • 2005
  • The purpose of this project is the derivation and development of techniques for the new estimation of robustness for the systems having uncertainties. The basic ideas to analyze the system which is the originally nonlinear is Lyapunov direct theorems. The nonlinear systems have various forms of terms inside the system equations and this investigation is confined in the form of bounded uncertainties. Bounded means the uncertainties are with same positive/negative range. The number of uncertainties will be the degree of freedoms in the calculation of the stability region. This is so called the robustness bounds. This proposition adopts the theoretical analysis of the Lyapunov direct methods, that is, the sign properties of the Lyapunov function derivative integrated along finite intervals of time, in place of the original method of the sign properties of the time derivative of the Lyapunov function itself. This is the new sufficient criteria to relax the stability condition and is used to generate techniques for the robust design of control systems with structured perturbations. Using this relaxing stability conditions, the selection of Lyapunov candidate function is of various forms. In this paper, the quadratic form is selected. this generated techniques has been demonstrated by recent research interest in the area of robust control design and confirms that estimation of robustness bounds will be improved upon those obtained by results of the original Lyapunov method. In this paper, the symbolic algebraic procedures are utilized and the calculating errors are reduced in the numerical procedures. The application of numerical procedures can prove the improvements in estimations of robustness for one-and more structured perturbations. The applicable systems is assumed to be linear with time-varying with nonlinear bounded perturbations. This new techniques will be extended to other nonlinear systems with various forms of uncertainties, especially in the nonlinear case of the unstructured perturbations and also with various control method.

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일반적 3R 링크를 갖는 6각 보행로봇 다리의 보행체적에 대한 해석 (Analysis on the Walking Volumes of a Hexapod System with General 3R Link Legs)

  • 한규범;양창일;백윤수
    • 대한기계학회논문집A
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    • 제20권7호
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    • pp.2205-2212
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    • 1996
  • In order to move the body of a walking robot translationally, and step over the obstacles, the walking robot must have at least 3 degrees of freedom for each leg. Therefore each leg of the general walking robots can be composed of 3-link system with 3 revolute joints. In this paper, the colsed form of inverse kinimatic solutions is shown for this general 3R linkage. Moreover, in order to have efficient walking volume in rough terrain, the workspace of each log is obtained considering the twist angles and the offsets in D-H parameters. When we design a walking robot, the information of the walking volume is needed for planning desired trajectories of the feet effectively. Appropriate knowledge of the walking volume can also be used to maximize linear or angular velocity of minimize power of stress. However, since it is impossible to obrain the information of walking volume in 3-D space directly from the kinematic equations, the walking volume can be searched through the edge detection algorithm using the triangle tracer with closed from inverse kinematic solutions. In this study, we present the closed form inverse kinematic solutions for 3R linkage model, and the walking volume of 6 legged walking robot which is modeled after the darking bettle, Eleodes obscura sulcipennis, through the method of edge detection for an arbitrary 2 dimensional shape using triangle tracer.

어류 체장의 자동 식별을 위한 어종별, 체장별 및 주파수별 음향 반사 강도의 데이터 뱅크 구축 (Construction of a Data Bank for Acoustic Target Strength with Fish Species, Length and Acoustic Frequency for Measuring Fish Size Distribution)

  • 이대재;신형일
    • 한국수산과학회지
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    • 제38권4호
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    • pp.265-275
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    • 2005
  • A prerequisite for deriving the abundance estimates from acoustic surveys for commercially important fish species is the identification of target strength measurements for selected fish species. In relation to these needs, the goal of this study was to construct a data bank for converting the acoustic measurements of target strength to biological estimates of fish length and to simultaneously obtain the target strength-fish length relationship. Laboratory measurements of target strength on 15 commercially important fish species were carried out at five frequencies of 50, 70, 75, 120 and 200 kHz by single and split beam methods under the controlled conditions of the fresh and the sea water tanks with the 389 samples of dead and live fishes. The target strength pattern on individual fish of each species was measured as a function of tilt angle, ranging from $-45^{\circ}$ (head down aspect) to $+45^{\circ}$ (head up aspect) in $0.2^{\circ}$ intervals, and the averaged target strength was estimated by assuming the tilt angle distribution as N $(-5.0^{\circ},\;15.0^{\circ})$. The TS to fish length relationship for each species was independently derived by a least-squares fitting procedure. Also, a linear regression analysis for all species was performed to reduce the data to a set of empirical equations showing the variation of target strength to a fish length, wavelength and fish species. For four of the frequencies (50, 75, 120 and 200 kHz), an empirical model for fish target strength (TS, dB) averaged over the dorsal sapect of 602 fishes of 10 species and which spans the fish length (L, m) to wavelength (\Lambda,\;m)$ ratio between 5 and 73 was derived: $TS=19.44\;Log(L)+0.56\;Log(\Lambda)-30.9,\;(r^2=0.53)$.

Online correction of drift in structural identification using artificial white noise observations and an unscented Kalman Filter

  • Chatzi, Eleni N.;Fuggini, Clemente
    • Smart Structures and Systems
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    • 제16권2호
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    • pp.295-328
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    • 2015
  • In recent years the monitoring of structural behavior through acquisition of vibrational data has become common practice. In addition, recent advances in sensor development have made the collection of diverse dynamic information feasible. Other than the commonly collected acceleration information, Global Position System (GPS) receivers and non-contact, optical techniques have also allowed for the synchronous collection of highly accurate displacement data. The fusion of this heterogeneous information is crucial for the successful monitoring and control of structural systems especially when aiming at real-time estimation. This task is not a straightforward one as measurements are inevitably corrupted with some percentage of noise, often leading to imprecise estimation. Quite commonly, the presence of noise in acceleration signals results in drifting estimates of displacement states, as a result of numerical integration. In this study, a new approach based on a time domain identification method, namely the Unscented Kalman Filter (UKF), is proposed for correcting the "drift effect" in displacement or rotation estimates in an online manner, i.e., on the fly as data is attained. The method relies on the introduction of artificial white noise (WN) observations into the filter equations, which is shown to achieve an online correction of the drift issue, thus yielding highly accurate motion data. The proposed approach is demonstrated for two cases; firstly, the illustrative example of a single degree of freedom linear oscillator is examined, where availability of acceleration measurements is exclusively assumed. Secondly, a field inspired implementation is presented for the torsional identification of a tall tower structure, where acceleration measurements are obtained at a high sampling rate and non-collocated GPS displacement measurements are assumed available at a lower sampling rate. A multi-rate Kalman Filter is incorporated into the analysis in order to successfully fuse data sampled at different rates.

Estimation of Water Quality of Fish Farms using Multivariate Statistical Analysis

  • Ceong, Hee-Taek;Kim, Hae-Ran
    • Journal of information and communication convergence engineering
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    • 제9권4호
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    • pp.475-482
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    • 2011
  • In this research, we have attempted to estimate the water quality of fish farms in terms of parameters such as water temperature, dissolved oxygen, pH, and salinity by employing observational data obtained from a coastal ocean observatory of a national institution located close to the fish farm. We requested and received marine data comprising nine factors including water temperature from Korea Hydrographic and Oceanographic Administration. For verifying our results, we also established an experimental fish farm in which we directly placed the sensor module of an optical mode, YSI-6920V2, used for self-cleaning inside fish tanks and used the data measured and recorded by a environment monitoring system that was communicating serially with the sensor module. We investigated the differences in water temperature and salinity among three areas - Goheung Balpo, Yeosu Odongdo, and the experimental fish farm, Keumho. Water temperature did not exhibit significant differences but there was a difference in salinity (significance <5%). Further, multiple regression analysis was performed to estimate the water quality of the fish farm at Keumho based on the data of Goheung Balpo. The water temperature and dissolved-oxygen estimations had multiple regression linear relationships with coefficients of determination of 98% and 89%, respectively. However, in the case of the pH and salinity estimated using the oceanic environment with nine factors, the adjusted coefficient of determination was very low at less than 10%, and it was therefore difficult to predict the values. We plotted the predicted and measured values by employing the estimated regression equation and found them to fit very well; the values were close to the regression line. We have demonstrated that if statistical model equations that fit well are used, the expense of fish-farm sensor and system installations, maintenances, and repairs, which is a major issue with existing environmental information monitoring systems of marine farming areas, can be reduced, thereby making it easier for fish farmers to monitor aquaculture and mariculture environments.

Theoretical formulation for calculating elastic lateral stiffness in a simple steel frame equipped with elliptic brace

  • Jouneghani, Habib Ghasemi;Fanaie, Nader;Haghollahi, Abbas
    • Steel and Composite Structures
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    • 제45권3호
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    • pp.437-454
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    • 2022
  • Elliptic-braced simple resisting frame as a new lateral bracing system installed in the middle bay of frame in building facades has been recently introduced. This system not only creates a problem for opening space from the architectural viewpoint but also improves the structural behavior. Despite the researches on the seismic performance of lateral bracing systems, there are few studies performed on the effect of the stiffness parameters on the elastic story drift and calculation of period in simple braced steel frames. To overcome this shortcoming, in this paper, for the first time, an analytical solution is presented for calculating elastic lateral stiffness in a simple steel frame equipped with elliptic brace subjected to lateral load. In addition, for the first time, in this study, a precise formulation has been developed to evaluate the elastic stiffness variation in a steel frame equipped with a two-dimensional single-story single-span elliptic brace using strain energy and Castigliano's theorem. Thus, all the effective factors, including axial and shear loads as well as bending moments of elliptic brace could be considered. At the end of the analysis, the lateral stiffness can be calculated by an improved and innovative relation through the energy method based on the geometrical properties of the employed sections and specification of the used material. Also, an equivalent element of an elliptic brace was presented for the ease of modeling and use in linear designs. Application of the proposed relation have been verified through a variety of examples in OpenSees software. Based on the results, the error percentage between the elastic stiffness derived from the developed equations and the numerical analyses of finite element models was very low and negligible.