scholarly journals A Measuring Medical Pocket Calculator

2008 ◽  
Vol 1 ◽  
pp. MEI.S822
Author(s):  
Martin Kompis
Keyword(s):  
Pocket Calculator

A Simple Approach to Evaluate Non-Newtonian Viscosity Effects in a Lubricating System

1987 ◽  
Vol 109 (1) ◽  
pp. 177-182 ◽  
Author(s):  
Patrick Bourgin ◽  
Joseph-Marc Francois
Keyword(s):  
Computer Code ◽  
Simple Approach ◽  
Rheological Parameters ◽  
Finite Width ◽  
Slider Bearing ◽  
Empirical Formulas ◽  
Newtonian Viscosity ◽  
Pocket Calculator ◽  
Viscosity Effects ◽  
Analytical Formulas

The working characteristics of a finite width slider bearing lubricated by a non-Newtonian fluid are computed. The analysis proposed here allows its performances to be evaluated by means of a pocket calculator. For that purpose, a computer code based on a finite element method is used. The program runs for different values of pertinent kinematical, geometrical and rheological parameters. The corresponding results are fitted by means of adequate analytical formulas, which are very easy to handle. The accuracy of these empirical formulas is investigated in several typical cases. The agreement with the numerical solution is proven to be satisfactory.

Derivation of the Explicit Solution of the Inverse Involute Function and its Applications

1992 ◽  
Author(s):  
Harry Hui Cheng
Keyword(s):  
Series Solution ◽  
Asymptotic Series ◽  
Explicit Solutions ◽  
Series Solutions ◽  
Perturbation Techniques ◽  
Pocket Calculator ◽  
Practical Applications ◽  
Involute Gears ◽  
Simple Expansion ◽  
Explicit Series Solutions

Abstract The involute function ε = tanϕ – ϕ or ε = invϕ, and the inverse involute function ϕ = inv−1(ε) arise in the tooth geometry calculations of involute gears, involute splines, and involute serrations. In this paper, the explicit series solutions of the inverse involute function are derived by perturbation techniques in the ranges of |ε| < 1.8, 1.8 < |ε| < 5, and |ε| > 5. These explicit solutions are compared with the exact solutions, and the expressions for estimated errors are also developed. Of particular interest in the applications are the simple expansion ϕ = inv−1(ε) = (3ε)1/3 – 2ε/5 which gives the angle ϕ (< 45°) with error less than 1.0% in the range of ε < 0.215, and the economized asymptotic series expansion ϕ = inv−1 (ε) = 1.440859ε1/3 – 0.3660584ε which gives ϕ with error less than 0.17% in the range of ε < 0.215. The four, seven, and nine term series solutions of ϕ = inv−1 (ε) are shown to have error less than 0.0018%, 4.89 * 10−6%, and 2.01 * 10−7% in the range of ε < 0.215, respectively. The computation of the series solution of the inverse involute function can be easily performed by using a pocket calculator, which should lead to its practical applications in the design and analysis of involute gears, splines, and serrations.

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