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Modeling and Stability Analysis of a Flexible Rotor Based on the Timoshenko Beam Theory

Acta Mechanica Solida Sinica 2020年第3期33卷 281-293页

作者： Yongwang Zhang Xiaodong Yang Wei Zhang Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures College of Mechanical EngineeringBeijing University of Technology100124 BeijingChina

Based on the Timoshenko beam theory,a novel mathematical model of a rotating shaft with centrifugal terms is developed by using Hamilton^principle and euler *** associated conventional model is provided for comparison *** features of the proposed mathematical model are discussed based on some selected coordinate *** frequencies and modes are investigated to show the influences of centrifugal terms on the stability of the gyroscopic *** results show that the novel model proposed may lose stability due to the centrifugal *** is also found that the backward precession mode can be changed into a forward one beyond the critical rotating velocity.

关键词： Spinning Timoshenko beam euler angles Centrifugal terms Stability analysis

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A novel orientation measurement using optical sensor for spherical motor

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Science China(Technological Sciences) 2013年第6期56卷 1330-1339页

作者： XIN JianGuo XIA ChangLiang LI HongFeng SHI TingNa School of Electrical Engineering and Automation Tianjin University School of Automation Tianjin University of Technology

The measurement of spherical rotor orientation is crucial to the close-loop control of spherical motors. This paper presents a novel method for the measuring of three-degree-of-freedom (DOF) rotor orientation of spherical motors using optical sensors. The spatial orientation of spherical rotor is output in the form of ZXZ euler angles. Firstly, the structure of the measuring system composed of optical sensors and the patterns on the rotor surface are presented, and the operational principle of recognizing intersection points between the optical ring detectors and the latitude/longitude on the rotor surface is illustrated. The analytical model of input-output characteristic is established for the measuring system of three-DOF rotor orientation. Afterwards, the effect of parameters of the optical ring detectors on the linearity, sensitivity, resolving power and measuring range of the measuring system is analyzed using the analytical model. Finally, the feasibility of the measurement is validated through experiments of prototype measuring system. The analysis is expected to be a basis for the design parameter optimization of the orientation measuring system of a PM spherical motor.

关键词： euler angles optical sensor orientation measurement spherical motor three-DOF

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Detecting the filamentary structure of 3D point clouds:Proposal of a wavelet-based method

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International Journal of Modeling, Simulation, and Scientific Computing 2017年第3期8卷 311-336页

作者： Roberto D’Ercole Department of Biomedical and Clinical Sciences“L.Sacco”University of Milan Via G.B.Grassi 74 Milan 20157Italy

The analysis of the filamentary structure of the cosmo as well as that of the internal structure of the polar ice suggests the development of models based on three-dimensional(3D)point processes.A point process,regarded as a random measure,can be expressed as a sum of Delta Dirac measures concentrated at some random *** integration with respect to the point process leads the continuous wavelet transform of the process *** possible mother wavelets,we propose the application of the Mexican hat and the Morlet wavelet in order to implement the scale-angle energy density of the process,depending on the dilation parameter and on the three angles which define the direction in the Euclidean *** indicator proves to be a sensitive detector of any variation in the direction and it can be successfully implemented to study the isotropy or the filamentary structure in 3D point patterns.

关键词： 3D Continuous wavelet transform energy density scale-angle energy density Mexican hat Morlet mother wavelet random measure filamentary structure rotation matrix euler angles isotropy anisotropy

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