Utilization of the symbolic manipulation system REDUCE 2 for deriving equations of motion
Abstract
In order to reduce computing times in direct application of Lagrange's equations for deriving equations of motion with the symbolic manipulation system REDUCE 2, the kinetic energy part in Lagrange's equations was rewritten in terms of global displacements. Formulations for nonlinear equations of motion, linearized equations of motion, and linearized perturbation equations are presented. Derivations based on these formulations lead to acceptable computing times. Two examples of the input data and output data are given.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 July 1983
 Bibcode:
 1983STIN...8620749K
 Keywords:

 Computer Programs;
 EulerLagrange Equation;
 Kinetic Equations;
 Kinetic Energy;
 Perturbation;
 Run Time (Computers);
 Symbolic Programming;
 Fluid Mechanics and Heat Transfer