Relativistic Disks. I. Uniform Rotation

This chapter discusses the importance of circular motion and rotations, whose applications to chemical systems are plentiful. Circular motion is the book’s first example of a special case of motion using the laws developed in previous chapters. The chapter begins with the basic definitions of circular motion; as uniform rotation around a principle axis is much easier to consider, it is the focus of this chapter and is used to develop some key ideas. The chapter discusses angular displacement, angular velocity, angular momentum, torque, rigid bodies, orbital and spin momenta, inertia tensors and non-inertial frames and explores fictitious forces as well as transformations in rotating frames.

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Improvements of the Equipment for Acquiring the Uniform Rotation by Self-Maintained Vibration

Zisin (Journal of the Seismological Society of Japan 2nd ser ) ◽

10.4294/zisin1948.4.1_23 ◽

1951 ◽

Vol 4 (1) ◽

pp. 23-35

Author(s):

K. TAJIME

Keyword(s):

Uniform Rotation

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Research of the Workpiece-Stage Control System Based on the ACR9000 in the Composite Coating Equipment of MEVVAII and FAD

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.668.410 ◽

2013 ◽

Vol 668 ◽

pp. 410-414

Author(s):

Rui Xia Zhang ◽

Bin Liao ◽

Zhi Guo Liu ◽

Xian Ying Wu

Keyword(s):

Control System ◽

Servo Control ◽

Uniform Rotation ◽

Coating Films ◽

Servo Control System ◽

Motion Modes ◽

Speed Rotation ◽

Micro Tools ◽

First Time ◽

Better Than

In order to realize the extensive application of technologies of MEVVAII and FAD, the composite equipment has been developed for surface modification and coating films. In this paper, for the first time, the servo control system based on ACR9000 has been used to control workpiece-stage of the composite equipment. Eight target disks are installed on workpiece-stage. Each of target disks can be mounted about 1300 PCB micro tools. So, the equipment can satisfy the requirement for mass production. Experimental results show that the coating unevenness is less than ±14%, better than those of traditional equipments which is less than ±29%. The main purpose of the paper is to introduce the design of workpiece-stage and its three motion modes of rotary positioning, uniform rotation and variable speed rotation, and coating effects corresponding to three motion modes have been verified by experiments.

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ROTATION MATRIX SAMPLING SCHEME FOR MULTIDIMENSIONAL PROBABILITY DISTRIBUTION TRANSFER

ISPRS Annals of Photogrammetry Remote Sensing and Spatial Information Sciences ◽

10.5194/isprsannals-iii-7-103-2016 ◽

2016 ◽

Vol III-7 ◽

pp. 103-110

Author(s):

P. Srestasathiern ◽

S. Lawawirojwong ◽

R. Suwantong ◽

P Phuthong

Keyword(s):

Probability Distribution ◽

Orthogonal Matrix ◽

Rotation Matrix ◽

Sampling Scheme ◽

Uniform Rotation ◽

Householder Transformation ◽

Orthogonal Matrices ◽

Matrix Sampling ◽

Paper Address ◽

Multidimensional Probability

This paper address the problem of rotation matrix sampling used for multidimensional probability distribution transfer. The distribution transfer has many applications in remote sensing and image processing such as color adjustment for image mosaicing, image classification, and change detection. The sampling begins with generating a set of random orthogonal matrix samples by Householder transformation technique. The advantage of using the Householder transformation for generating the set of orthogonal matrices is the uniform distribution of the orthogonal matrix samples. The obtained orthogonal matrices are then converted to proper rotation matrices. The performance of using the proposed rotation matrix sampling scheme was tested against the uniform rotation angle sampling. The applications of the proposed method were also demonstrated using two applications i.e., image to image probability distribution transfer and data Gaussianization.

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Luminosity variation in the extended one-zone RR Lyrae model

Serbian Astronomical Journal ◽

10.2298/saj0570057p ◽

2005 ◽

pp. 57-64

Author(s):

D. Pricopi

Keyword(s):

Ideal Gas ◽

Stellar Model ◽

Nonlinear Analyses ◽

Uniform Rotation ◽

Factors Affecting ◽

Pulsating Stars ◽

Rr Lyrae ◽

Stellar Pulsation ◽

Pulsation Model ◽

Good Agreement

The Stellingwerf one-zone stellar model is extended by assuming, a slow and uniform rotation that leads to a very small oblateness of the star. The matter in the core-surrounding shell is supposed to consists of a mixture of ideal gas and radiation. This one-zone stellar pulsation model is proposed as a tool to investigate the factors affecting luminosity variations of pulsating stars. Linear and nonlinear analyses of the resulting equations are described. The results are in very good agreement with the observed RR Lyrae light curves. .

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