斯特林制冷机压缩机固有频率的理论与实验研究  

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

作　　者：刘冬毓[1] 吴亦农[1] 王维扬[1] 陈纯正[2] 

机构地区：[1]中国科学院上海技术物理研究所第四研究室,上海200083 [2]西安交通大学制冷与低温研究所,西安710049

出　　处：《西安交通大学学报》2006年第11期1320-1324,共5页Journal of Xi'an Jiaotong University

基　　金：国家自然科学基金资助项目(50376069)

摘　　要：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2 W@80 K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.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.

关 键 词：斯特林制冷机 压缩机 固有频率 

分 类 号：TB65[一般工业技术—制冷工程]