• Title/Summary/Keyword: 2 degrees of freedom

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Analysis of Dynamic Characteristics of Rectangular Plates by Finite Element Method (유한요소법을 이용한 평판의 동특성 연구)

  • 태순호;이태연;허문회
    • Journal of the Korean Society of Safety
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    • v.7 no.2
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    • pp.30-41
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    • 1992
  • Analysis of Dynamic Characterisocs of Rectangular Plate by Finite Element Method. Dynamic characteristics of a rectangular plate with opening in it is studied by finite element method. To investigate these characteristics 12 degrees of freedom membrane finite element in used. The rectangular membrane finite elements are defined by specifying geometry, internal displacement functions and strain-displacement relations. Then, the governing equation for the finite element is derived by energy method. To derive the mass matrix and stiffness matrix of the element, expressions for strain and kineic energy in terms of the node displacement are generated. In constructing the overall structure matrix, the matrix of each elements are superposed and partitioned by applying the given boundary condition to obtain a nonslngular matrix. To find the natural freguencies and viration modes, the eigen values and the corresponding eigen vectors are computed by the computer using well known Jacobi power method. In order to verify the capability of the membrane finite element, a flat rectangular plate is analyzed first, and the result is compared with well known analytical results to show the good agreement. A rectangular plate with opening in It is analyzed with the same finite element. The results are presented in this paper. Unfortunately, the literature study could not provide with some results to compare, but the results reveal that the output of this research is phlslcally reasonable. And the results of this research are useful not only in practice but also for the future experimental research in comparison purpose.

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Dual-function Dynamically Tunable Metamaterial Absorber and Its Sensing Application in the Terahertz Region

  • Li, You;Wang, Xuan;Zhang, Ying
    • Current Optics and Photonics
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    • v.6 no.3
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    • pp.252-259
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    • 2022
  • In this paper, a dual-function dynamically tunable metamaterial absorber is proposed. At frequency points of 1.545 THz and 3.21 THz, two resonance peaks with absorption amplitude of 93.8% (peak I) and 99.4% (peak II) can be achieved. By regulating the conductivity of photosensitive silicon with a pump laser, the resonance frequency of peak I switches to 1.525 THz, and that of peak II switches to 2.79 THz. By adjusting the incident polarization angle by rotating the device, absorption amplitude tuning is obtained. By introducing two degrees of regulation freedom, the absorption amplitude modulation and resonant frequency switching are simultaneously realized. More importantly, dynamic and continuous adjustment of the absorption amplitude is obtained at a fixed resonant frequency, and the modulation depth reaches 100% for both peaks. In addition, the sensing property of the proposed MMA was studied while it was used as a refractive index sensor. Compared with other results reported, our device not only has a dual-function tunable characteristic and the highest modulation depth, but also simultaneously possesses fine sensing performance.

Non-equal DC link Voltages in a Cascaded H-Bridge with a Selective Harmonic Mitigation-PWM Technique Based on the Fundamental Switching Frequency

  • Moeini, Amirhossein;Iman-Eini, Hossein;Najjar, Mohammad
    • Journal of Power Electronics
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    • v.17 no.1
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    • pp.106-114
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    • 2017
  • In this paper, the Selective Harmonic Mitigation-PWM (SHM-PWM) method is used in single-phase and three-phase Cascaded H-Bridge (CHB) inverters in order to fulfill different power quality standards such as EN 50160, CIGRE WG 36-05, IEC 61000-3-6 and IEC 61000-2-12. Non-equal DC link voltages are used to increase the degrees of freedom for the proposed SHM-PWM technique. In addition, it will be shown that the obtained solutions become continuous and without sudden changes. As a result, the look-up tables can be significantly reduced. The proposed three-phase modulation method can mitigate up to the 50th harmonic from the output voltage, while each switch has just one switching in a fundamental period. In other words, the switching frequency of the power switches are limited to 50 Hz, which is the lowest switching frequency that can be achieved in the multilevel converters, when the optimal selective harmonic mitigation method is employed. In single-phase mode, the proposed method can successfully mitigate harmonics up to the 50th, where the switching frequency is 150 Hz. Finally, the validity of the proposed method is verified by simulations and experiments on a 9-level CHB inverter.

A Study on Teaching Method of Two-Sample Test for Population Mean Difference (두 모집단 모평균 비교의 지도에 관한 연구)

  • Kim Yong-Tae;Lee Jang-Taek
    • The Mathematical Education
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    • v.45 no.2 s.113
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    • pp.145-154
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    • 2006
  • The main purpose of this study is to investigate the effect of departures from normality and equal variance on the two-sample test when the variances are unknown. We have found that type I error brought about a little bit change which is ignorable in relation to kurtosis. But the change of type I error was mainly based on the skewness of the parent population. In introductory statistics classes where data analysis includes techniques for detecting skewness of two populations, we recommend the two-sample t-test when maximal skewness of two populations is smalter than the value 4 when the variances seem equal. Furthermore, our simulations reveal that the two-sample t-test appears somewhat more robust than that of z-test if the assumption of equal variance is satisfied. In the case of unequal variance, the two-sample t-test appears somewhat more robust provided the t-statistic using Satterthwaite's approximate degrees of freedom.

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A Study of the Dynamic Characteristics of a Passenger Radial Tire (승용차용 레이디얼 타이어의 동적 특성에 관한 연구)

  • 김두만;김상욱
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.5
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    • pp.724-734
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    • 1986
  • The dynamic characteristics of a passenger radial tire were studied by the analytical method and the experiments. The purpose of this study is to obtain the natural frequencies and the mode shapes of a 2 ply steel belt radial tire fixed on the wheel in order to give datum of the dynamic design of tire. The governing equations are derived with the energy method. The composite toroidal finite elements with three degrees of freedom at each node are defined by specifying geometry, internal displacement functions, strain displacement and stress displacement relationships. In order to verify the capability of the present analysis, the natural frequencies and mode shapes of the passenger radial tire are obtained experimentally by using the multi-channel F.F.T. analyser and compared the numerically obtained values. The results show that the analytically obtained values are in good agreement with the experiment and in addition they are in line with the Pott's experimental results.

Geometrically Nonlinear Analysis of Eccentrically Stiffened Plate (편심 보강평판의 기하학적 비선형 해석)

  • Jae-Wook Lee;Kie-Tae Chung;Young-Tae Yang
    • Journal of the Society of Naval Architects of Korea
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    • v.28 no.2
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    • pp.307-317
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    • 1991
  • A displacement-based finite element method is presented for the geometrically nonlinear analysis of eccentrically stiffened plates. The nonlinear degenerated shell and eccentric isobeam(isoparametric beam) elements are formulated on the basis of total Lagrangian and updated Lagrangian descriptions. To describe the stiffener's local plate buckling mode, some additional local degrees of freedom are used in the eccentric isobeam element. The eccentric isobeam element can be affectively employed to model the eccentric stiffener just like the case of the degenerated shell element. A detailed nonlinear analysis including the effects of stiffener's eccentricity is performed to estimate the critical load and the post buckling behaviour of an eccentrically stiffened plate. The critical buckling loads are found higher than analytic plate buckling load but lower than Euler buckling load which are the buckling strength requirements of classification society.

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Grinding robot system for car brazing bead

  • Kang, Hyo-Sik;Lee, Woo-Ho;Park, Jong-Oh;Lee, Gwang-Se;Shin, Hyoun-Oh
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10b
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    • pp.160-163
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    • 1993
  • In this paper, design of an automatic grinding robot system for car brazing bead is introduced. Car roof and side panels are joined using brazing, and then the brazing bead is processed so that the bead is invisible after painting. Up to now the grinding process is accomplished manually. The difficulties in automation of the grinding process are induced by variation of position and shape of the bead and non-uniformity of the grinding area due to surface deformation. For each car, the grinding area including the brazing bead is sensed and then modeled using a 2-D optical sensor system. Using these model data, the position and the direction of discrete points on the car, body surface are obtained to produce grinding path for a 6 degrees of freedom grinding robot. During the process, it is necessary to sense the reaction forces continuously to prepare for the unexpected circumstances. In addition, to meet the line cycle time it is necessary to reduce the required time in sensing, signal processing, modeling, path planning and data transfer by utilizing real-time communication of the information. The key technique in the communication and integration of the complex information is obtaining in-field reliability. This automatic grinding robot system may be regarded as a jump in the intelligent robot processing technique.

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Redundancy Trajectory Generation for Biped Robot Manipulators (2족 보행로봇을 위한 여유자유도 궤적 생성)

  • Yeon, Je-Sung;Park, Jong-Hyeon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.10
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    • pp.1014-1022
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    • 2009
  • A biped robot in locomotion can be regarded to be kinetically redundant in that the link-chain from its foot on the ground to its swing foot has more degrees of freedom that needed to realize stable bipedal locomotion. This paper proposes a new method to generate a trajectory for bipedal locomotion based on this redundancy, which directly generates a locomotion trajectory at the joint level unlike some other methods such as LIPM (linear inverted-pendulum mode) and GCIPM (gravity-compensated inverted-pendulum mode), each of which generates a trajectory of the center of gravity or the hip link under the assumption of the dominance of the hip-link inertia before generating the trajectory of the whole links at the joint level. For the stability of the trajectory generated in the proposed method, a stability condition based on the ZMP (zero-moment point) is used as a constraint as well as other kinetic constraints for bipedal motions. A 6-DOF biped robot is used to show how a stable locomotion trajectory can be generated in the sagittal plane by the proposed method and to demonstrate the feasibility of the proposed method.

Computations of Natural Convection Flow Using Hermite Stream Function Method (Hermite 유동함수법에 의한 자연대류 유동 계산)

  • Kim, Jin-Whan
    • Journal of Ocean Engineering and Technology
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    • v.23 no.5
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    • pp.1-8
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    • 2009
  • This paper is a continuation of the recent development on Hermite-based divergence free element method and deals with a non-isothermal fluid flow thru the buoyancy driven flow in a square enclosure with temperature difference across the two sides. The basis functions for the velocity field consist of the Hermite function and its curl while the basis functions for the temperature field consists of the Hermite function and its gradients. Hence, the number of degrees of freedom at a node becomes 6, which are the stream function, two velocities, the temperature and its x and y derivatives. This paper presents numerical results for Ra = 105, and compares with those from a stabilized finite element method developed by Illinca et al. (2000). The comparison has been done on 32 by 32 uniform elements and the degree of approximation of elements used for the stabilized finite element are linear (Deg. 1) and quadratic (Deg. 2). The numerical results from both methods show well agreements with those of De vahl Davi (1983).

Collision Free Path Planing of Articulated Manipulator for Remote Maintenance Using Sequential Search Method (원격 유지보수용 다관절 조작기의 순차 탐색에 의한 장애물 회피 경로계획)

  • 이종열;송태길;김성현;박병석;윤지섭
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.10a
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    • pp.519-522
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    • 1997
  • In this study, the collision free path planning method of the articulated manipulator using sequential search is proposed. This method is to find the joint path of the manipulator with many degrees of freedom from the distal joint to the proximal one. To do this, the initial work space of the gantry manipulator, which is a remote maintenance equipment of the radioactive environment, is defined from the condition that the distal joint configuration is determined by the posture of maintenance. Then, 2-dimensional configuration space with the obstacle area is represented and the collision free path of manipulator is searched in the configuration space. And, this method is verified using the graphic simulation in virtual workcell for the spent fuel disassembling processes. The result of this study can be effectively used in implementing the maintenance processes for the hot cell equipment and enhance the reliability of the spent fuel management.

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