Closure to “Discussion of ‘Complex Variable Analysis for Stepped Thrust Bearings’” (1967, ASME J. Lubr. Technol., 89, p. 368)

1967 ◽  
Vol 89 (3) ◽  
pp. 368-368
Author(s):  
R. I. Tanner
Keyword(s):  
Complex Variable ◽  
Thrust Bearings ◽  
Variable Analysis

Complex Variable Analysis for Stepped Thrust Bearings

1967 ◽  
Vol 89 (3) ◽  
pp. 363-367 ◽  
Author(s):  
R. I. Tanner
Keyword(s):  
Complex Variable ◽  
Series Solutions ◽  
Optimal Parameters ◽  
Thrust Bearings ◽  
Variable Analysis

It is shown how simple series solutions can be found for the bearing characteristics of stepped thrust bearings with curved steps. Loads are shown to be higher than with straight steps. The simplicity of the form of the solution allows optimal parameters to be determined readily. Detailed results to illustrate the use of the solution are given for annular and square pads. It is noted that the rear “corners” of square pads could be deleted with advantage.

Analysis of a Semi-Infinite Strip With Constant Stress Flanges Under Concentrated Loads

1966 ◽  
Vol 33 (3) ◽  
pp. 571-574 ◽  
Author(s):  
H. R. Meck
Keyword(s):  
Stress Distribution ◽  
Exact Solutions ◽  
Closed Form ◽  
Complex Variable ◽  
Constant Stress ◽  
Infinite Strip ◽  
Concentrated Loads ◽  
Simple Complex ◽  
Variable Analysis

An analysis is presented for a semi-infinite strip reinforced by flanges and subjected to concentrated in-plane loads at the ends of the flanges. The taper which results in constant flange stress is determined, and the stress distribution in the sheet is also found. A simple complex variable analysis is used which leads to exact solutions in closed form.

Normal Indentation of Elastic Half-Space With a Rigid Frictionless Axisymmetric Punch

2001 ◽  
Vol 69 (2) ◽  
pp. 142-147 ◽  
Author(s):  
G. Fu
Keyword(s):  
Half Space ◽  
Complex Variable ◽  
Contact Region ◽  
Pressure Profile ◽  
Elastic Half Space ◽  
Final Solution ◽  
Special Cases ◽  
Complete Contact ◽  
Simply Connected ◽  
Variable Analysis

The contact of a simply connected axisymmetric punch with an elastic half-space is examined. The problem is mathematically formulated by using potential theory and complex variable analysis. The final solution of these equations is obtained by assuming a polynomial punch profile. The conditions for complete contact and incomplete contact are also derived. The solutions give the pressure profile at the punch–elastic half-space interface for any polynomial punch profile, even for noninteger power polynomials, as long as the contact region is simply connected. The results show that some classic solutions in linear elasticity are special cases of the derived solution and determine the range of validity for those solutions.

A Concentrated Force Problem of Plane Strain or Plane Stress

1947 ◽  
Vol 14 (3) ◽  
pp. A246
Author(s):  
A. E. Green
Keyword(s):  
Closed Form ◽  
Plane Strain ◽  
Plane Stress ◽  
Complex Variable ◽  
Elliptical Hole ◽  
Minor Axis ◽  
Concentrated Force ◽  
Large Plate ◽  
Force Problem ◽  
Variable Analysis

Abstract The problem in plane strain or plane stress of a large plate containing an elliptical hole, which is loaded by line forces at the ends of the minor axis of the ellipse, is solved in closed form by using complex variable analysis.

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