Energy-state formulation of lumped volume dynamic equations with application to a simplified free piston Stirling engine
Abstract
Lumped volume dynamic equations are derived using an energy-state formulation. This technique requires that kinetic and potential energy state functions be written for the physical system being investigated. To account for losses in the system, a Rayleigh dissipation function is also formed. Using these functions, a Lagrangian is formed and using Lagrange's equation, the equations of motion for the system are derived. The results of the application of this technique to a lumped volume are used to derive a model for the free-piston Stirling engine. The model was simplified and programmed on an analog computer. Results are given comparing the model response with experimental data.
- Publication:
-
NASA STI/Recon Technical Report A
- Pub Date:
- May 1979
- Bibcode:
- 1979STIA...7949532D
- Keywords:
-
- Analog Computers;
- Energy Dissipation;
- Engine Design;
- Rayleigh Equations;
- Stirling Cycle;
- Stirling Engines;
- Systems Analysis;
- Lagrange Similarity Hypothesis;
- Mathematical Models;
- Thermodynamic Cycles;
- Thermodynamics and Statistical Physics