Explore chapters and articles related to this topic
Methodologies of Feature Representations
Published in Awais Ahmad Khan, Emad Abouel Nasr, Abdulrahman Al-Ahmari, Syed Hammad Mian, Integrated Process & Fixture Planning, 2018
Awais Ahmad Khan, Emad Abouel Nasr, Abdulrahman Al-Ahmari, Syed Hammad Mian
Surface modeling is very useful for creating technical surfaces such as an airplane wing and aesthetic surfaces such as a car’s hood. Moreover, surface modeling can be used to define very complex geometries found in forged and molded parts industries, sculptured surfaces, and so on. The surface models have widespread applications in industries such as automobile, aerospace, plastic, medical, and so on. These models can automatically estimate volume property using surface definition, but they cannot extract the mass property and other important attributes for manufacturing [17]. Primarily, there are three types of surfaces that can be generated using surface modeling [18]: Ruled or extruded surfaces: They are created by skinning two 2D closed curves or extruding one 2D closed curve. It finds its applications in piping design, airplane wing design, and so on.Surfaces of revolution: The surface of revolution can be generated by rotating the 2D curve about an axis. It is used in creating symmetrical objects such as a cylindrical geometry.Sculptured surfaces: The sculptured surface is used to generate very complex surfaces such as a ship’s hull, an automobile’s fender, and so on.
Terrestrial laser scanning for structural inspection with Kriging interpolation
Published in Structure and Infrastructure Engineering, 2022
Thomas Sanchez, David Conciatori, Mahdi Ben-Ftima, Bruno Massicotte
A surface of revolution is obtained by a range of curves in rotation around a fixed axis in Cartesian space. The rotation matrixes and rotate the fixed axis in the z-direction with angle value and around the axis x and y, respectively. The product . f(u1) transcripts the surface of revolution around the z-axis (Figure 4c):where the vector p and the angles and are constant. The rotation matrices are rotations of the variable respectively around the axles and
Low Cost Image Processing of Bunsen Flame Photography for Estimation of Flame Speeds
Published in Combustion Science and Technology, 2019
Konstantinos Souflas, Emmanouil Z. Psarakis, Panayiotis Koutmos, Fokion N. Egolfopoulos
It is well known that a surface of revolution is a surface in Euclidean space generated by rotating a curve around an axis of rotation. Examples of surfaces of revolution generated by a straight line are cylindrical and conical surfaces depending on whether or not the line is parallel to the rotation axis. If the curve is described by the function f(x), α ≤ x ≤ β, then the surface of revolution generated by its rotation around the y-axis can be expressed by the following relation:
Carrera Unified Formulation (CUF) for the composite shells of revolution. Equivalent single layer models
Published in Mechanics of Advanced Materials and Structures, 2023
The surface of revolution is formed by the rotation of a plane curve around a fixed straight line, called the axis of rotation. To derive parametric equations of the surface of revolution of a general form, we define the plane curve in the coordinate plane by the equations