In applied mechanics, the three common coordinate systems are rectangular (or Cartesian), cylindrical, and spherical. The aim of the present section is to describe these coordinate systems and to derive the formulae for the transformation of the vector components of each coordinate system with respe...
12 First, the physical components of stress and body force in the rectangular global material coordinate system are expressed in terms of their cylindrical counterparts. This process has already been demonstrated in Section A.5.2.1 of Appendix A for a general second order tensor T. The resulting...
This paper presents the formula of subaperture overlapping by introducingcylindrical coordinates( θxr ). 本文推导了圆柱坐标下的孔径拼接公式,并利用新的拼接公式模拟测量了一圆柱体面形。 更多例句>> 3) cylindrical-coordinate system 圆柱坐标系 1. ...
The exact equation of spin motion in a cylindrical coordinate system with allowance for electric dipole moments of particles has been derived. This equation is convenient for analytical calculations of spin dynamics in circular storage rings when the configuration of main fields is simple enough. The...
Cylindrical coordinates are a type of three-dimensional coordinate system that uses a distance from the origin, an angle, and a height to describe a point in space. They are often used to describe cylindrical or circular objects, where the height is measured along the axis of rotation and the...
his paper uses separating functions to solve equations ofcylindrical coordinateand concrete plates,and gives a general formula of the deflexion with Tomson function. 用分离变量函数求解弹性地基柱坐标板的方程。 3. Introduce and demonstrate the three kinds of evolvent parametric equations in cartedian co...
We derive an analytical explicit formula, which exhibiting rich interesting nonlinear effects, to describe the propagation of any amount of cylindrical electromagnetic waves in a nonlinear medium. The results obtained by using the present method are accurately concordant with the results of using ...
3, are determined by the aforementioned admittance and impedance transformation formula Eq. (43). Also, the values \({\overline{{\varvec{Y}}} }_{B}\) and \({\overline{{\varvec{Z}}} }_{B}\) are calculated from Eq. (25). Assuming that these values are known, the transformation ...
There is a difference between defining a point location in a cylindrical reference system and the degrees of freedom (DOF) assigned by a nodal displacement coordinate system. Hopefully, you have been talking about the former, while I was describing the latter. It is t...
A new formula for the geometric parameters of carbon nanotubes is presented. The precise atomic locations are concerned where this is an important issue, namely small radii carbon nanotubes, which necessarily have large curvature. Here an exact polyhedral model for the structure of carbon nanotubes ...