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Rotors: Stress Analysis and Design

Part of the Mechanical Engineering Series Book Series

DOI: 10.1007/978-88-470-2562-2

ISBN: 978-88-470-2561-5

Publisher: Springer Milan - Springer Journals

Jul 26, 2012

1 - 10 of 13 Chapters

LitStream

Chapter 1Mono-Dimensional Elastic Theory of Thin Disk

Vullo, Vincenzo; Vivio, Francesco

Pages: 1 –11

[Take (Fig. I.1) a thin disk having a geometry of revolution, featuring a plane of symmetry perpendicular to its axis (plane of axial coordinate z = 0, in which the other two axes x, y that complete the three-dimension rectangular Cartesian reference system O(x, y, z) lie), rotating at angular...
LitStream

Chapter 2Constant Thickness Rotating Disk

Vullo, Vincenzo; Vivio, Francesco

Pages: 13 –50

[For the constant thickness disk (h = cost; dh/dr = 0), the solving differential equation (1.28) is specialized in the following form:\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy}...
LitStream

Chapter 3Thermal Loads and Fictitious Density Variation Along the Radius

Vullo, Vincenzo; Vivio, Francesco

Pages: 51 –70

[Here again, the general solution of (2.3) can be found by adding the solution of the associated homogeneous equation (2.4) to a particular solution of the complete equation. As the general solution of the associated homogeneous equation (2.4) is already known, the problem of the disk subject to...
LitStream

Chapter 4Hyperbolic Disks

Vullo, Vincenzo; Vivio, Francesco

Pages: 71 –87

[As was indicated above, the general equation (1.28) can be integrated in closed form even if the disk features a hyperbolic profile, i.e., one defined by an equation of the following type (Stodola [70]):\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym}...
LitStream

Chapter 5Disk of Uniform Strength

Vullo, Vincenzo; Vivio, Francesco

Pages: 89 –101

[In general, a disk of uniform strength is defined as one in which the radial and hoop stresses resulting from centrifugal loading are constant and equal to each other at all points. Consequently, the following relation applies throughout the disk:\documentclass[12pt]{minimal}...
LitStream

Chapter 6Conical Disk

Vullo, Vincenzo; Vivio, Francesco

Pages: 103 –133

[Turbine disks frequently employ so-called conical profiles (also referred to as biconical), i.e., profiles whose thickness varies with the radius according to a linear function h = h(r). This is because these profiles are easier, and thus less costly, to produce than the corresponding hyperbolic...
LitStream

Chapter 7Non-Linearly Variable Thickness Disks

Vullo, Vincenzo; Vivio, Francesco

Pages: 135 –175

[The topic discussed here goes well beyond those normally addressed in courses on mechanical design. However, it is advisable to provide complete coverage of the mathematical basics of the method for integrating the differential equations that govern the displacement field of rotating disks whose...
LitStream

Chapter 8Disk Having Arbitrary Profile

Vullo, Vincenzo; Vivio, Francesco

Pages: 177 –192

[In cases where the disk has a generic profile which cannot be likened to those considered earlier, which are defined by analytical functions and cannot be dealt with using theoretical methods, it is necessary to use numerical solutions, which will be straightforward because of the many...
LitStream

Chapter 9Design of Rotating Disks and Stress Concentrations

Vullo, Vincenzo; Vivio, Francesco

Pages: 193 –205

[With the usual assumptions of a plane stress state (σz = 0) made for rotating disks, the stress field is generally biaxial. Uniaxial stress conditions can only occur locally: at the inner edge of non-rotating disks loaded at the outer edge (Figs. 2.1 and 2.2) and of only rotating disks (Fig....
LitStream

Chapter 10Stress Analysis of Rotating Cylinders in the Linear Elastic Field

Vullo, Vincenzo; Vivio, Francesco

Pages: 207 –252

[We will consider a circular cylinder of any radial thickness (Fig. 10.1a) having theoretically infinite length and geometry of revolution, consisting of homogeneous and isotropic material subjected in the linear elastic field to surface forces, body forces and thermal loads which are all...

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