Design Optimization of Flexure Springs for Free-Piston Stirling Engines and Experimental Evaluations with Fatigue Testing

The free-piston Stirling engine is a closed-cycle regenerative heat engine that converts heat energy into mechanical work, and requires a spring element for vibratory operations of the displacer and power pistons. In this study, the geometry of the flexural spring design was optimized through struct...

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Main Authors: Chang-Whan Lee, Dong-Jun Kim, Sung-Kwon Kim, Kyuho Sim
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/14/16/5156
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author Chang-Whan Lee
Dong-Jun Kim
Sung-Kwon Kim
Kyuho Sim
author_facet Chang-Whan Lee
Dong-Jun Kim
Sung-Kwon Kim
Kyuho Sim
author_sort Chang-Whan Lee
collection DOAJ
description The free-piston Stirling engine is a closed-cycle regenerative heat engine that converts heat energy into mechanical work, and requires a spring element for vibratory operations of the displacer and power pistons. In this study, the geometry of the flexural spring design was optimized through structural finite element analyses and fatigue test evaluations. First, we constructed a target design space considering the required natural frequency of the displacer spring assembly under the geometric constraints of total mass and module height. The design of experiments was employed to construct simulation cases for design factors such as the outer diameter, thickness, and number of spirals in the spring sheet. As a result, the optimized design values were obtained to satisfy the design requirements. We also fabricated a test spring specimen and conducted fatigue tests using a linear actuator system developed to have the same motion as the engine. The test results indicated that the optimized spiral spring had no fracture under operating conditions with the design piston amplitude, revealing the effectiveness of the design method.
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spelling doaj.art-bb4cb5c61cf84f43b8d69002fcaecd0a2023-11-22T07:32:47ZengMDPI AGEnergies1996-10732021-08-011416515610.3390/en14165156Design Optimization of Flexure Springs for Free-Piston Stirling Engines and Experimental Evaluations with Fatigue TestingChang-Whan Lee0Dong-Jun Kim1Sung-Kwon Kim2Kyuho Sim3Department of Mechanical System Design Engineering, Seoul National University of Science and Technology, Seoul 01811, KoreaDepartment of Mechanical System Design Engineering, Seoul National University of Science and Technology, Seoul 01811, KoreaDepartment of Mechanical System Design Engineering, Seoul National University of Science and Technology, Seoul 01811, KoreaDepartment of Mechanical System Design Engineering, Seoul National University of Science and Technology, Seoul 01811, KoreaThe free-piston Stirling engine is a closed-cycle regenerative heat engine that converts heat energy into mechanical work, and requires a spring element for vibratory operations of the displacer and power pistons. In this study, the geometry of the flexural spring design was optimized through structural finite element analyses and fatigue test evaluations. First, we constructed a target design space considering the required natural frequency of the displacer spring assembly under the geometric constraints of total mass and module height. The design of experiments was employed to construct simulation cases for design factors such as the outer diameter, thickness, and number of spirals in the spring sheet. As a result, the optimized design values were obtained to satisfy the design requirements. We also fabricated a test spring specimen and conducted fatigue tests using a linear actuator system developed to have the same motion as the engine. The test results indicated that the optimized spiral spring had no fracture under operating conditions with the design piston amplitude, revealing the effectiveness of the design method.https://www.mdpi.com/1996-1073/14/16/5156free-piston Stirling enginethermal cycledesign optimizationfatigue testingflexure spring
spellingShingle Chang-Whan Lee
Dong-Jun Kim
Sung-Kwon Kim
Kyuho Sim
Design Optimization of Flexure Springs for Free-Piston Stirling Engines and Experimental Evaluations with Fatigue Testing
Energies
free-piston Stirling engine
thermal cycle
design optimization
fatigue testing
flexure spring
title Design Optimization of Flexure Springs for Free-Piston Stirling Engines and Experimental Evaluations with Fatigue Testing
title_full Design Optimization of Flexure Springs for Free-Piston Stirling Engines and Experimental Evaluations with Fatigue Testing
title_fullStr Design Optimization of Flexure Springs for Free-Piston Stirling Engines and Experimental Evaluations with Fatigue Testing
title_full_unstemmed Design Optimization of Flexure Springs for Free-Piston Stirling Engines and Experimental Evaluations with Fatigue Testing
title_short Design Optimization of Flexure Springs for Free-Piston Stirling Engines and Experimental Evaluations with Fatigue Testing
title_sort design optimization of flexure springs for free piston stirling engines and experimental evaluations with fatigue testing
topic free-piston Stirling engine
thermal cycle
design optimization
fatigue testing
flexure spring
url https://www.mdpi.com/1996-1073/14/16/5156
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