斯特林制冷机压缩机固有频率的理论与实验研究

为了提高斯特林制冷机的制冷效率，提出了一个新的更准确的压缩机固有频率计算公式，并详细介绍了推导该公式的思想和方法．在分析活塞受力尤其是气体力的基础上建立了压缩活塞的运动方程，采用旋转矢量分解的方法阐述了气体力的作用机理和物理意义，认为气体既起到气体弹簧又起到吸收压缩功的作用，从而推导出压缩机系统刚度、固有频率的计算公式．以2W@80K牛津型斯特林制冷机为例，实验验证了该计算公式的准确性，与其他现有公式相比，该公式的计算结果与实验值更为一致．并通过不同压缩机负载的实验，验证了对气体力的理论分析．

Theoretical and Experimental Investigation on Natural Frequency of Compressor for Stirling Cryocooler

A new calculation formula for natural frequency of compressors with higher accuracy was presented. The idea and method of deducing this formula were described in detail. A kinematic equation for pistons was established based on analyzing forces, in particular, gas force acting on the piston. The acting mechanism and physical meaning of gas force were stated by means of rotation vector decomposition. The Helium gas in compression space was regarded as gas spring and compression power absorber. Consequently, the calculation formulae for stiffness and natural frequency of the compressor were developed. The accuracy of this formula was verified by an experimental test on a 2 W@80 K split stirling cryocooler. The results calculated with the present formula was more consistent with experimental data compared with other existing formulae. Moreover, the theoretical analysis of gas force was confirmed by the different compressor load test.