Utilization of a Fifth-Order Model for Analyzing Stirling Oscillators
نویسندگان
1 Department of Mechanical Engineering, Iranian Research Organization for Science and Technology (IROST), Tehran, Iran
2 Department of Mechanical Engineering, Iranian Research Organization for Science and Technology (IROST), Tehran, Iran
3 Department of Mechanical Engineering, Iranian Research Organization for Science and Technology (IROST), Tehran, Iran
4 Department of Mechanical Engineering, Firouzabad Higher Education Center, Shiraz University of Technology, Shiraz, Iran
5 Department of Mechanical Engineering, Iranian Research Organization for Science and Technology (IROST), Tehran, Iran
doi
10.22104/hfe.2024.7207.1329چکیده
In this study, for the first time, the design of a free-piston Stirling oscillator (FPSO) using a fifth-order model is addressed. Initially, the free-piston Stirling oscillator is introduced. Then, considering the limited heat transfer coefficient, the fifth-order mechanical model of the oscillator is derived. Subsequently, the design parameters, including the stiffness and mass of the power piston and displacer piston, as well as the cross-sectional area of the rod connecting to the displacer piston, are examined. Then, the design parameters are estimated based on the objectives (a desired frequency between 70 and 100 rad/s, and the real value of the dominant closed-loop pole between 5 and 17) and the fifth-order mechanical model. Nonlinear analysis is then performed to investigate the effects of variations in frequency and the real value of the dominant closed-loop poles on the output power and phase difference between the pistons of the oscillator. The results of this study demonstrate that the use of a fifth-order model offers a more accurate evaluation and analysis of the dynamic behavior of this type of oscillator.
