本研究主題是自由活塞式史特靈引擎，屬於史特靈引擎的一種，通過自由活塞式史特靈引擎中兩個動件，活塞和移氣器的配合，讓工作流體在熱庫吸熱膨脹、冷庫放熱收縮。以對外作功，但是本研究和傳統引擎不同的是動件沒有和飛輪、連桿等機構進行連接，而是和各自獨立的連接彈簧進行振動，並分別由工作流體推動。
為了分析不同的參數對自由活塞式史特靈引擎振動的影響，本研究建立熱力、動力、電力、磁力數值模型求解引擎振動模態，同時製作自由活塞式史特靈引擎原型機，並通過雷射位移計量測動件的振動狀態，和模擬求解的數據進行比較。本研究將通過求解不同操作參數(加熱溫度、活塞質量、活塞彈簧、移氣器彈簧等等)，以分析自由活塞式史特靈引擎的變化。
為了讓本研究的原型機在運轉時可以輸出功率，本研究在活塞上連接線性發電機，讓原型機在運轉時輸出電功，本研究將通過數值模型求解原型機之發電性能，並以實驗驗證之。其中 最佳之電功率為29.8 W，最佳指示功率為 42.2 W。

The subject of this study is the Free-Piston Stirling Engine (FPSE), a type of Stirling engine. It operates through the coordination of two moving components in the FPSE, the piston and the displacer, allowing the working fluid to absorb heat and expand in the hot reservoir and release heat and contract in the cold reservoir, thereby performing work. However, unlike traditional engines, the moving parts in this study are not connected to mechanisms such as flywheels or connecting rods. Instead, they vibrate with independent connection springs and are driven separately by the working fluid.
To analyze the effects of different parameters on the vibration of the FPSE, this study establishes numerical models for thermal, dynamic, electrical, and magnetic forces to solve for the engine's vibration modes. Additionally, a prototype of the FPSE is constructed, and the vibration state of the moving components is measured using a laser displacement meter. These measurements are then compared with the simulation results. This study aims to analyze the variations in the FPSE by solving for different operating parameters (such as piston mass, piston spring, displacer spring, etc.).

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