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.
Refinement of Finite Difference Calculations in Kinematic Analysis
Bernard W. Shaffer,
Bernard W. Shaffer
Mechanical Engineering Department, New York University, New York, N. Y.
New York University, New York, N. Y.
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Shaffer, B. W., and Krause, I. (November 1, 1960). "Refinement of Finite Difference Calculations in Kinematic Analysis." ASME. J. Eng. Ind. November 1960; 82(4): 377–380. https://doi.org/10.1115/1.3664253
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