Refinement of Finite Difference Calculations in Kinematic Analysis

[+] Author and Article Information
Bernard W. Shaffer

Mechanical Engineering Department, New York University, New York, N. Y.

Irvin Krause

New York University, New York, N. Y.

J. Eng. Ind 82(4), 377-380 (Nov 01, 1960) (4 pages) doi:10.1115/1.3664253 History: Received July 06, 1959; Online December 09, 2011


First and second finite-difference expressions are derived for the first three derivatives of displacement with respect to time. The numerical results obtained by applying these difference expressions to a specific cam-follower mechanism are found to be in good agreement with the values obtained by successive differentiation of the displacement-time equation. Procedures for evaluating and improving the numerical results are also discussed.

Copyright © 1960 by ASME
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