The shell method allows us to calculate the volume of the solid of revolution of regions that are challenging to calculate using the dish or washer method. In the past, we’ve learned how to approximate the volume by cutting it into “slices” perpendicular to the axis of rotation. This re...
摘要: The basic idea of cylindrical shell method is expounded. A formula for calculating the volume of a solid of revolution is derived,and the application is illustrated with examples.收藏 引用 批量引用 报错 分享 全部来源 求助全文 知网 相似文献A Free-Lagrange Augmented Godunov Method for the ...
Volumes of Solids of Revolution
If the cross sections of the solid are taken parallel to the axis of revolution, then thecylindrical shell methodwill be used to find the volume of the solid. If the cylindrical shell has radiusrand heighth,then its volume would be 2πrhtimes its thickness. Think of the first part of th...
FIELD: process engineering.;SUBSTANCE: invention relates to metal forming, particularly to making parts like hollow solids of revolution with stiffness varying in cross-section. Rolled normal grade carbon steel blank is cut to produce welded cylindrical shell. Made shell ends are machined and ...
\[ V = \pi \int_{a}^{b} f(x)^{2} dx \] The following solid revolution plot is obtained because of the revolution of the curve around the y-axis as shown in figure 1: All the Mathematical Images/Graphs are created using GeoGebra. ...
The torsion problem of hollow-core solids of revolution made of an elastic material is treated by adopting the usual assumptions of the theory of elasticity. Meridian section of the examined solid of revolution is bounded by coordinate lines of a plane orthogonal curvilinear coordinate system.年份...
sources based on both gas-phase and solid-phase HHG and novel time-resolved experimental and theoretical tools in a wide spectral range for studying dynamics in isolated molecules and condensed-phase materials, we now stand at the threshold of another revolution in attosecond science and technology....
Free vibration analysis of stringer stiffened general shells of revolution using a meridional finite strip method 2015, Thin-Walled Structures Show abstract A semi-analytical approach to analyze vibration characteristics of uniform and stepped annular-spherical shells with general boundary conditions 2019, ...
Bodies of revolutionComputer programsThe finite element method is applied to solids with an axis of material symmetry subjected to Fourier expandable thermal, body force and surface traction loadings. The governing equations are derived for triangular toroidal continuum elements and for thin conical shell...