Abstract | ||
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We determine piston trajectories yielding maximum work output from two variations of a light-driven engine: one is a free-piston engine; the other is an optimally controlled engine. The equations describing the optimal piston path of the controlled engine are generated by the symbolic processing program MACSYMA. A second set of computer algebra routines are used to perform a stability analysis of the coupled, non-linear differential equations describing the piston trajectories. From this analysis we generate parameter sets that allow a numerical program, which solves systems of differential equations with mixed boundary conditions, to determine etiieientty the explicit time-path of the optimally controlled engine. |
Year | DOI | Venue |
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1986 | 10.1016/S0747-7171(86)80016-5 | J. Symb. Comput. |
Keywords | DocType | Volume |
optimal piston path,controlled engine,light-driven engine,stability analysis,differential equation,piston trajectory,numerical program,non-linear differential,free-piston engine,symbolic processing program | Journal | 2 |
Issue | ISSN | Citations |
1 | Journal of Symbolic Computation | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
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Stanley J. Watowitch | 1 | 0 | 0.34 |
Jeffery L. Krause | 2 | 0 | 0.34 |
R. Stephen Berry | 3 | 1 | 1.40 |