• Title/Summary/Keyword: Euler angles

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Computer Simulation of Hemispherical Sheet Forming Process Using Crystal Plasticity (결정 소성학을 이용한 반구 박판 성형공정의 전산모사)

  • Shim, J.G.;Keum, Y.T.
    • Transactions of Materials Processing
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    • v.16 no.4 s.94
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    • pp.276-281
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    • 2007
  • The hardening and the constitutive equation based on the crystal plasticity are introduced for the numerical simulation of hemispherical sheet metal forming. For calculating the deformation and the stress of the crystal, Taylor's model of the crystalline aggregate is employed. The hardening is evaluated by using the Taylor factor, the critical resolved shear stress of the slip system, and the sum of the crystallographic shears. During the hemispherical forming process, the texture of the sheet metal is evolved by the plastic deformation of the crystal. By calculating the Euler angles of the BCC sheet, the texture evolution of the sheet is traced during the forming process. Deformation texture of the BCC sheet is represented by using the pole figure. The comparison of the strain distribution and punch force in the hemispherical forming process between the prediction using crystal plasticity and experiment shows the verification of the crystal plasticity-based formulation and the accuracy of the hardening and constitutive equation obtained from the crystal plasticity.

A Study on the Attitude Determination of the KOMPSAT (다목적 실용 위성의 자세결정에 관한 연구)

  • Kim, Byung-Doo;Lee, Ja-Sung;Choi, Wan-Sik
    • Proceedings of the KIEE Conference
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    • 1997.07b
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    • pp.474-477
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    • 1997
  • In this paper, an efficient attitude determination algorithm based on the Kalman Filter which combines earth/sun sensor data with gyro data in a mutually compensating manner is presented. Quaternion is used as the attitude state to save computation time and to prevent the gimbal-lock situation associated with Euler angles. Gyro data allows the use of the kinematic equation instead of space vehicle's dynamic equation which is usually based on approximation of the actual dynamics and inaccurate torque information. The gyro data are used to propagate the attitude through kinematic equation and the earth/sun sensor data are used to update the attitude and estimate the gyro bias. Simulation results for the KOMPSAT attitude determination system are presented.

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Finite Element Formulations of the Rotor-Bearing System for Whirl Speed Analysis (로터-베어링 시스템의 훨링속도 해석을 위한 유한요소 정식화)

  • Yun, Seong-Ho
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2007.04a
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    • pp.625-630
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    • 2007
  • This paper accounts for derivations and formulations of the finite element dynamic equation of the rotor-bearing system to analyze its whirling speed. It turns out to be a different form from previous researcher's because of different successive sequences of Euler angles. Correspondingly the adoption of other rotation tensor will be needed for a consistent derivation of the dynamic equation. The process of its finite element formulation with consistent mass matrix and gyroscopic matrix involves a general definition of the modal analysis or the Eigen analysis for the damped system in the inertial frame and rotating frame, respectively.

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Calculation of 4 Crane Lifting Forces for a Sunken Ship (4기 크레인에 의한 첨물 선체의 인양력 계산)

  • 이상갑
    • Journal of Ocean Engineering and Technology
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    • v.14 no.1
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    • pp.17-22
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    • 2000
  • This study focuses on a simple analytical approach to calculate crane lifting forces for a sunken ship. The method takes into account the relation of lifting forces acting in wire rope slings to the inclination of the vessel including the effect of lug positions. The importance of the sunken ship salvage is explained from the statistics of ship casualties during last 15 years. Euler angles are introduced to represent the inclination of a sunken ship in developing the static force and moment equations,. Three dimensional examples with one redundant degree of freedom for a GT1500 oil tanker are analyzed and the results show that the information obtained by the method could be useful to salvors to conduct salvage work.

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Lifting Analysis for a Sunken Ship in Consideration of Elongation of Crane Ropes (크레인 로프의 신장을 고려한 침몰선체의 인양력 해석)

  • CHOI KYUNG-SIK;SHIN MAENG-KEE
    • Journal of Ocean Engineering and Technology
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    • v.17 no.3 s.52
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    • pp.33-38
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    • 2003
  • This study focuses on an analytical approach to calculate crane-lifting forces for a sunken ship, with consideration to elongation of crane ropes. The method takes into account the relation of lifting forces acting in wire rope slings to the inclination of the ship's hull, including the effect of lug positions. For lifting analysis, the Euler angles are defined to represent the inclination of a sunken ship in developing the static force and moment equations. An additional compatibility condition is introduced in order to solve an indeterminate lifting analysis problem with 4 cranes. A set of lifting forces along the 4 crane ropes is calculated. A 3-dimensional example of the G/T 1500 oil tanker is analyzed. The results show that the information obtained by the method could be useful to engineers when conducting salvage work.

Optimal Design of a 6-DOF Parallel Mechanism using a Genetic Algorithm (유전 알고리즘을 이용한 6자유도 병렬기구의 최적화 설계)

  • Hwang, Youn-Kwon;Yoon, Jung-Won
    • Journal of Institute of Control, Robotics and Systems
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    • v.13 no.6
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    • pp.560-567
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    • 2007
  • The objective of this research is to optimize the designing parameters of the parallel manipulator with large orientation workspace at the boundary position of the constant orientation workspace (COW). The method uses a simple genetic algorithm(SGA) while considering three different kinematic performance indices: COW and the global conditioning index(GCI) to evaluate the mechanism's dexterity for translational motion of an end-effector, and orientation workspace of two angle of Euler angles to obtain the large rotation angle of an end-effector at the boundary position of COW. Total fifteen cases divided according to the combination of the sphere radius of COW and rotation angle of orientation workspace are studied, and to decide the best model in the total optimized cases, the fuzzy inference system is used for each case's results. An optimized model is selected as a best model, which shows better kinematic performances compared to the basis of the pre-existing model.

A Study on the Path Tracking Performance of Lunar Lander Demonstrator using a PWM-based Thrust Controller (펄스폭 변조기 기반 추력 제어기를 이용한 달 착륙선 지상시험모델의 경로 추종 성능 연구)

  • Yang, Sung-Wook;Son, Jong-Jun;Lee, Sang-Chul
    • Journal of the Korean Society for Aviation and Aeronautics
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    • v.22 no.4
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    • pp.75-80
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    • 2014
  • A lunar lander demonstrator developed for the purpose of demonstrating lunar landing technologies recently in Korea. The thruster control system of the lunar lander demonstrator adopted the main thrusters for altitude control and the reaction thrusters for attitude control. In this paper, we propose a path tracking controller base on Euler angles. The control signals of the controller are of continuous type. And Pulse Width Modulator(PWM) is adopted to provide On/Off signals. We perform MATLAB simulation for evaluating the path tracking performance and the final landing velocity of the lunar lander demonstrator.

Impact Analysis on Water Entry of Gliding Vehicle using Finite Element Method (유한요소 해석을 통한 활공비행체의 입수충격해석)

  • Kim, Changyu;Hwang, Youngeun
    • Journal of the Korea Institute of Military Science and Technology
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    • v.20 no.4
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    • pp.467-473
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    • 2017
  • In this paper, impact characteristics of a water entry gliding vehicle were analyzed using a finite element method. To guarantee the validity of analysis results, a convergence test was performed for several ratios of Euler and Largrange mesh sizes. The impact coefficient was calculated with respect to entry angles and angle of attacks. It can be observed that the impact coefficient was large at a high cross-section gradient and was also affected by cavitation. This study could be useful in the preliminary design stage of a water entry bomb development.

Calibration of flush air data sensing systems for a satellite launch vehicle

  • Mehta, R.C.
    • Advances in aircraft and spacecraft science
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    • v.9 no.1
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    • pp.1-15
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    • 2022
  • This paper presents calibration of flush air data sensing systems during ascent period of a satellite launch vehicle. Aerodynamic results are numerically computed by solving three-dimensional time dependent compressible Euler equations over a payload shroud of a satellite launch vehicle. The flush air data system consists of four pressure ports flushed on a blunt-cone section of the payload shroud and connected to on board differential pressure transducers. The inverse algorithm uses calibration charts which are based on computed and measured data. A controlled random search method coupled with neural network technique is employed to estimate pitch and yaw angles from measured transient differential pressure history. The algorithm predicts the flow direction stepwise with the function of flight Mach numbers and can be termed as an online method. Flow direction of the launch vehicle is compared with the reconstructed trajectory data. The estimated values of the flow direction are in good agreement with them.

Vibration Control of a Robot Manipulator with a Parallel Drive Mechanism (평행구동방식 로봇 조작기의 진동제어)

  • 최승철;하영균;박영필
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.6
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    • pp.2015-2025
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    • 1991
  • A long and light-weight forearm of the vertical 2 DOF robot manipulator with a heavy payload driven by parallel drive mechanism is modelled as a Euler-Bernoulli beam with a tip mass subjected to a high speed rotation. Governing equation is obtained by Hamilton's principle and represented as state variable form using the perturbed variables which describe the perturbed errors at the manipulator's final configuration. Digitial optimal control and observer theory are used to suppress the forearm vibration and control the positions of the joint angles with measured/estimated state feedback. Computer simulations and experimental results are obtained and compared each other.