Dynamic modeling of spatial variable stator vane mechanism using modified Lagrange multiplier method

The Variable Stator Vanes (VSV) system ensures the smooth operation of the high-pressure compressor by adjusting the vane angles to prevent surge, and the dynamic behavior of its multistage vanes directly affects its service performance. To investigate the dynamic behavior of the spatial VSV multi-vane mechanism, a positional constraint equation for the VSV mechanism was established, and the numerical expressions of the Jacobian matrices for different kinematic pair constraint equations were derived. The Lagrange multiplier method was modified for spatial rotation, and an ideal dynamic model of the spatial VSV multi-vane mechanism was developed. The computational results indicate that the dynamic behavior of different vanes within the same stage is similar, and the constraint moment experienced by vanes at different positions has a linear relationship with their centroid coordinates. This study expands the dynamic modeling methods for spatial mechanisms and provides a foundation for researching the frictional dynamic behavior of VSV mechanisms with clearance.