• Title/Summary/Keyword: Rotational motion

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A Computer Method for the Dynamic Analysis of a System of Rigid Bodies in Plane Motion

  • Attia, Hazem-Ali
    • Journal of Mechanical Science and Technology
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    • v.18 no.2
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    • pp.193-202
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    • 2004
  • This paper presents a computer method for the dynamic analysis of a system of rigid bodies in plane motion. The formulation rests upon the idea of replacing a rigid body by a dynamically equivalent constrained system of particles. Newton's second law is applied to study the motion of the resulting system of particles without introducing any rotational coordinates. A velocity transformation is used to transform the equations of motion to a reduced set. For an open-chain, this process automatically eliminates all of the non-working constraint forces and leads to an efficient integration of the equations of motion. For a closed-chain, suitable joints should be cut and few cut-joints constraint equations should be included. An example of a closed-chain is used to demonstrate the generality and efficiency of the proposed method.

Characteristics of Perturbations in Recent Length of Day and Polar Motion

  • Na, Sung-Ho;Kwak, Younghee;Cho, Jung-Ho;Yoo, Sung-Moon;Cho, Sungki
    • Journal of Astronomy and Space Sciences
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    • v.30 no.1
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    • pp.33-41
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    • 2013
  • Various features of the existing perturbations in the Earth's spin rotation are investigated for the recent and most reliable data by spectral analysis, filtering, and comparison with idealized model. First, theory of Earth's spin rotational perturbation is briefly re-derived in the Earth-fixed coordinate frame. By spectral windowings, different periodic components of the length of day perturbation are separated, and their characters and excitations are discussed. Different periodic components of polar motion are acquired similarly and described with further discussion of their excitations. Causes of the long time trends of both the length of day and polar motion are discussed. Three possible causes are considered for the newly discovered 490-day period component in the polar motion.

Improving Accuracy of Measurement of Rigid Body Motion by Using Transfer Matrix (전달 행렬을 이용한 강체 운동 측정의 정확도 개선)

  • 고강호;국형석
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.05a
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    • pp.253-259
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    • 2002
  • The rigid body characteristics (value of mass, Position of center of mass, moments and products of inertia) of mechanical systems can be identified from FRF data or vibration spectra of rigid body motion. Therefore the accuracy of rigid body characteristics is connected directly with the accuracy of measured data for rigid body motions. In this paper, a method of improving accuracy of measurement of rigid body motion is presented. Applying rigid body theory, ail translational and rotational displacements at a tentative point on the rigid body are calculated using the measured translational displacements for several points and transfer matrix. Then the estimated displacements for the identical points are calculated using the 6 displacements of the tentative Point and transfer matrix. By using correlation coefficient between measured and estimated displacements, we can detect the existence of errors that are contained in a certain measured displacement. Consequently, the improved rigid body motion with respect to a tentative point can be obtained by eliminating the contaminated data.

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Design of Trajectory Generator for Performance Evaluation of Navigation Systems

  • Jae Hoon Son;Sang Heon Oh;Dong-Hwan Hwang
    • Journal of Positioning, Navigation, and Timing
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    • v.12 no.4
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    • pp.409-421
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    • 2023
  • In order to develop navigation systems, simulators that provide navigation sensors data are required. A trajectory generator that simulates vehicle motion is needed to generate navigation sensors data in the simulator. In this paper, a trajectory generator for evaluating navigation system performance is proposed. The proposed trajectory generator consists of two parts. The first part obtains parameters from the motion scenario file whereas the second part generates position, velocity, and attitude from the parameters. In the proposed trajectory generator six degrees of freedom, halt, climb, turn, accel turn, spiral, combined, and waypoint motions are given as basic motions with parameters. These motions can be combined to generate complex trajectories of the vehicle. Maximum acceleration and jerk for linear motion and maximum angular acceleration and velocity for rotational motion are considered to generate trajectories. In order to show the usefulness of the proposed trajectory generator, trajectories were generated from motion scenario files and the results were observed. The results show that the proposed trajectory generator can accurately simulate complex vehicle motions that can be used to evaluate navigation system performance.

Shaking Table Test of a Rectangular Liquid Storage Tank (직사각형 액체저장탱크의 동적 응답특성에 관한 진동대 실험)

  • 김재관
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2000.10a
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    • pp.209-214
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    • 2000
  • Shaking table tests were performed to investigate dynamic behavior of a three dimensional flexible rectangular liquid storage tank. Response characteristics to the three components of translational motion and three component of rotational motion were studied. The aluminium tank was exposed to the shaking high enough to make it behave in nonlinear range. Only very limited amount of the data have been processed yet. Very interesting phenomena on the effects of non-symmetry have been observed and presented. Test results that show nonlinear behavior under the high intensity shaking are reported.

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Analysis for Angle, Center of Mass and Muscle Activity on Good and Bad Motion of the Pirouette in Ballet (발레 삐루엣 동작 수행정도에 따른 각도, 중심변인 및 근활동 분석)

  • Kwon, An-Sook
    • Korean Journal of Applied Biomechanics
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    • v.21 no.2
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    • pp.181-187
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    • 2011
  • The purpose of this study was to identify major factors on pirouette in ballet, and especially angle, Center of Mass(CM) & muscle activity aspects. The data were collected by using Motion Analysis System with 12 cameras to analyze kinematic variables with 120 Hz and Electromyography(EMG; 4,000 Hz) & Force Platform(1,000 Hz) to analyze kinetic variables. The subjects of this study were 8 female ballet dancers. The results as follow. First of all, full extension of knee joint and full plantar flexion of ankle joint appeared at the similar point. Secondly, in the rotational phase, total movement of segments in Good motion is smaller than that of Bad motion(in Good motion, head movement 2.70 cm, right shoulder movement 0.72 cm, left shoulder 4.26 cm, left wrist 17.4 mm smaller than Bad motion). Third, CoP distance of Good motion is 11.76 mm, and CoP distance of Bad motion is 11.76 mm, so Good motion is 5.98 mm smaller). Lastly, Pirouette need more retus femur activity than gastrocnemius activity in extention phase and rotation phase of support leg.

Design of an Initial-position Update Mooring Alignment Algorithm for Dual-axis Rotational INS Using a Kalman Filter (칼만 필터를 이용한 2축 회전형 관성항법장치의 초기위치 보정 정박 중 정렬 알고리즘 설계)

  • Kyung-don Ryu
    • Journal of Advanced Navigation Technology
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    • v.28 no.4
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    • pp.379-385
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    • 2024
  • INS(inertial navigation system) aligns itself using gravity and Earth's rotational rate from accelerometers and gyro sensors when stationary. Typically, ZUPT(zero velocity update), which is based on a linear error model Kalman filter, is used when it is stationary. However, such algorithms assume stationary conditions, leading to increased alignment errors or filter divergence during maritime mooring due to wave-induced motion. This paper designs a mooring alignment algorithm for maritime platforms using a Kalman filter, which uses large heading angle error model and an initial position correction technique. And it is validated by simulation. Furthermore, it is confirmed that applying this to a rotational INS dramatically improves performance through the principle of bias cancellation.

Rotational Motion of Shoulder in Normal Volunteer and SLAP Lesions (정상 성인과 SLAP 병변이 있는 환자의 견관절 회전운동)

  • Shin, Dong-Eun;Song, Sang-Jun;Park, Hyung-Kun;Kim, Jae-Hyung;Nam, Ki-Shik;Kim, Jae-Hwa
    • Journal of the Korean Arthroscopy Society
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    • v.8 no.2
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    • pp.115-118
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    • 2004
  • Purpose: The purpose of this study is to measure the internal and external rotation of shoulder and compare with normal volunteer and patients diagnosed as SLAP lesion. Materials and Methods: Thirty-eight cases (group 1) who had SLAP lesions at shoulder arthroscopy and fourty young volunteers(group 2) were analyzed retrogradely with medical record, intra-operative arthroscopic photo & video for SLAP lesions and the ROM of shoulder Under the interscalene anesthesia, the range of motion of internal rotation and external rotation were measured on flxed scapula and 90 degree abduction of shoulder, and the same method for group 2. We analyzed the results with two sample T-test and Wisconsin signed ranks test. Results: There was a significant difference between group 1 and group 2 for the ROM of shoulder. (IR; p<0.001,ER; p<0.001).For the group 1, internal and external rotation with the arm abducted 90 averaged 50 and 64 degrees and for the group 2, internal and external rotation averaged 77 and 90 degrees with significant difference(IR; p<0.001,ER; p<0.001).Conclusion: The range of motion of shoulder, especially internal and external rotation significantly decreased in SLAP lesions. Our results suggest that a limited rotational motion of shoulder closely related with SLAP lesion.

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Design of the Vision Based Head Tracker Using Area of Artificial Mark (인공표식의 면적을 이용하는 영상 기반 헤드 트랙커 설계)

  • 김종훈;이대우;조겸래
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.34 no.7
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    • pp.63-70
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    • 2006
  • This paper describes research of using area of artificial mark on vision based head tracker system. A head tracker system consists of the translational and rotational motions which are detected by web camera. Results of the motion are taken from image processing and neural network. Because of the characteristics of cockpit, the specific color on the helmet is tracked for translational motion. And rotational motion is tracked via neural network. Ratio of two different colored area on the helmet is used as input of network. Neural network algorithms used, such as back-propagation and RBFN (Radial Basis Function Network). Both back-propagation using a characteristic of feedback and RBFN using a characteristic of statistics have a good performances for the tracking of nonlinear system such as a head motion. Finally, this paper analyzes and compares with tracking performance.

A Recursive Algorithm for Generating the Equations of Motion of Spatial Mechanical Systems with Application to the Five-Point Suspension

  • Attia, Hazem-Ali
    • Journal of Mechanical Science and Technology
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    • v.18 no.4
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    • pp.550-559
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    • 2004
  • In this paper, a recursive formulation for generating the equations of motion of spatial mechanical systems is presented. The rigid bodies are replaced by a dynamically equivalent constrained system of particles which avoids introducing any rotational coordinates. For the open-chain system, the equations of motion are generated recursively along the serial chains using the concepts of linear and angular momenta Closed-chain systems are transformed to open-chain systems by cutting suitable kinematic joints and introducing cut-joint constraints. The formulation is used to carry out the dynamic analysis of multi-link five-point suspension. The results of the simulation demonstrate the generality and simplicity of the proposed dynamic formulation.