OICC Press International Journal of Energy and Environmental Engineering 2251-6832 14 4 (December 2023) 2022 10 31 Assessment of a diaphragm thermoacoustic Stirling engine using the energy standpoint and genetic algorithm 10.1007/s40095-022-00546-w EN Shahryar Zare Department of Mechanical and Aerospace Engineering, Shiraz University of Technology, Shiraz, IR Maedeh makki Department of Mechanical, Sharif University of Technology, Tehran, IR Masoud Rasooli Kish Branch, Islamic Azad University, Kish, IR Hassan Shafiee Alavi Department of Computer Engineering, Shiraz Branch, Islamic Azad University, Shiraz, IR A. R. Tavakolpour-Saleh Department of Mechanical and Aerospace Engineering, Shiraz University of Technology, Shiraz, IR Journal Article 2022 10 31 Abstract This paper presents a novel method to estimate the design parameters of a diaphragm thermoacoustic Stirling engine and investigate the stable limit cycle (sufficient condition) of the engine dynamic using the genetic algorithm and system energy changes. In this regard, first, the parametric equations are extracted by employing both the governing equations of the engine and energy standpoint. Next, Vc0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${V}_{\mathrm{c}0}$$\end{document} (initial volume of compression space), Rq\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${R}_{q}$$\end{document} (pneumatic resistance), Vh0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${V}_{h0}$$\end{document} (initial volume of expansion space), and hot gas temperature ( Th\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${T}_{\mathrm{h}}$$\end{document} ) are taken as the design parameters in this study. Genetic algorithm and parametric equations were then utilized to estimate the chosen design parameters. Next, the sufficient condition of the engine is evaluated based on the estimated design parameters. The simulated outcomes are shown that the sufficient condition is satisfied by the estimated design parameters. Afterward, the simulated results are validated using experimental data gathered from the constructed SUTech-SR-3 engine. Comparing the extracted data eventuates a proper method of estimating design parameters and satisfying the sufficient condition related to the SUTech-SR-3 engine. It is worth noting that in this research, the dynamic of the thermoacoustic Stirling engine has investigated using a mechanical point of view. Also, in this paper, only the dynamic behavior of the engine has been investigated, and the production power and work have not been studied.