Topic
Axis system
About: Axis system is a research topic. Over the lifetime, 9 publications have been published within this topic receiving 303 citations.
Papers
TL;DR: In this article, the authors define an axis system which is somehow fixed to a vibrating and rotating molecule, and the axis system can be related to each other by the 3'×'3 rotation matrix which brings them into coincidence.
Abstract: It is convenient when performing calculations on a vibrating and rotating molecule to define an axis system which is somehow fixed to the molecule. The orientation of the usual molecule-fixed axis system, however, depends not only upon the instantaneous positions of the nuclei, but also upon the equilibrium positions from which the nuclei are regarded as being displaced. Thus, when a molecule of low enough symmetry undergoes an electronic transition accompanied by a change in geometry, it will, in general, be necessary to consider two molecule-fixed axis systems, corresponding to the two different electronic states. This change in axis system from one electronic state to another will be called axis-switching. The two axis systems can be related to each other by the 3 × 3 rotation matrix which brings them into coincidence. The elements of this matrix are functions of the equilibrium geometries of the two electronic states as well as of the instantaneous positions of the atoms in the molecule. Axis-switchin...
254 citations
TL;DR: It is shown that with care in sequence definition, the three alignment-based systems (Euler, Cardan, floating axis) give identical results for angular parameters.
32 citations
Patent•
27 Aug 1982TL;DR: A numerical control method for an apparatus equipped with a C-axis control function for numerically controlling the spindle in the direction of rotation is described in this paper, where a first G-code (Gg1) is used to bring into agreement the axis control characteristics of the C- axis system and the feed axis system.
Abstract: A numerical control method for an apparatus equipped with a C-axis control function for numerically controlling the spindle in the direction of rotation. Provision is made of a first G-code (Gg1) for bringing into agreement the axis control characteristics of the C-axis system and the feed axis system, and a second G-code (Gg2) for returning the axis control characteristics modified with the first G code into the original characteristics. Prior to simultaneously controlling the C-axis and the feed axis, the first G-code is instructed to bring the axis control characteristics into agreement. After the simultaneous control for the C-axis and the feed axis has been finished, the second G-code is instructed to return the axis control characteristics modified with the first G-code into the initial characteristics.
12 citations
1 Jan 2007
TL;DR: This chapter explores various systems of axes and notation, wherein aerodynamic controls and engine controls are explained and the last section mentions the aerodynamic reference centers.
Abstract: This chapter explores various systems of axes and notation. By making the appropriate choice of axis, systems order and consistency may be introduced to the process of model building. The order and consistency play an important role in the definition of the mathematical framework. Only the most basic commonly used axes systems appropriate to aircraft are discussed in the chapter. It gives a description of the earth axes and various kinds of aircraft body fixed axes. It is not important which axis system is chosen provided it models the flight condition to be investigated, the end-result does not depend on the choice of axis system. However, when compiling data for use in the equations of motion of an aircraft it is quite common for some data to be referred. Further, euler angles and aircraft attitude is explained. The angles defined by the right handed rotation about the three axes of a right handed system of axes are called Euler angles. The chapter also defines controls notion, wherein aerodynamic controls and engine controls are explained. The last section mentions the aerodynamic reference centers.
9 citations
Journal Article•
TL;DR: Rotation speed evoked axis system common vibration was named interface rotation speed, and its magnitude is connected with axis material,geometry shape,dimension,configuration format,support condition,work circumstance, parts installed on axis etc as mentioned in this paper.
Abstract: Axis system is made up of axis itself,transmission part installed on axis,connecting part and support of axis.Rotation speed evoked axis system common vibration was named interface rotation speed,and its magnitude is connected with axis material,geometry shape,dimension,configuration format,support condition,work circumstance,parts installed on axis etc.It is very difficult to consider synchronously all effect element,and it isn't necessary.Because bearing stiffness have an effect on interface rotation speed,so the original only introduced computational method of bearing stiffness.
3 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2017 | 1 |
| 2016 | 2 |
| 2014 | 1 |
| 2007 | 1 |
| 2006 | 1 |
| 1992 | 1 |