A Note on the Relativistic Problem of Uniform Rotation

1946 ◽  
Vol 69 (9-10) ◽  
pp. 488-491 ◽  
Author(s):  
E. L. Hill

2002 ◽  
Author(s):  
Cong Tam Nguyen ◽  
Waël Hariz ◽  
Dinh Vo-Ngoc


Author(s):  
Peter Mann

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.



2013 ◽  
Vol 668 ◽  
pp. 410-414
Author(s):  
Rui Xia Zhang ◽  
Bin Liao ◽  
Zhi Guo Liu ◽  
Xian Ying Wu

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.



Author(s):  
P. Srestasathiern ◽  
S. Lawawirojwong ◽  
R. Suwantong ◽  
P Phuthong

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.



2005 ◽  
pp. 57-64
Author(s):  
D. Pricopi

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. .



2016 ◽  
Vol 23 (4) ◽  
pp. 451-467 ◽  
Author(s):  
Alok Kumar Singh Kushwaha ◽  
Subodh Srivastava ◽  
Rajeev Srivastava




2019 ◽  
Vol 95 ◽  
pp. 01002
Author(s):  
Jesus A. Calderón ◽  
Eliseo B. Barriga ◽  
Roland Mas ◽  
Luis Chirinos ◽  
Enrique Barrantes ◽  
...  

Rotor systems need bearings in order to keep uniformity of rotational movement transmission. However, bearingsgenerate friction and energy losses due to heating transmisssion through the friction; for this reason, mechanicak bearings are replaced by magnetic bearings owing to avoid energy losing because of friction. We designed Active Magnetic Bearings (AMB) to transmit rotational movement from source of movement (motor) through the rotor to the movement receptor (such as a conveyor belt). Magnetic Bearings need accuracy during System Identification process and a sophisticated control algorithm to get an uniform rotation movement transmission. In this work also it was analyzed and proved by simulations that Active Magnetic Bearings composed with sensors /actuators based in nanostructures are faster and robust compared with AMB based in traditional sensors/actuators. It because, nanostructures receive and send signals better way tan traditional sensors/actuators, because of high oredered nanoarrays improve sensor/actuator properties.



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