基于非线性科学中的一些理论并结合有限元方法等，对系统的一些常见的复杂非线性现象进行分析，如油膜涡动、油膜振荡、半频涡动、倍周期运动、准周期运动、突跳和混沌运动等。本程序的开发能够分析圆瓦轴承、椭圆瓦、可倾瓦(考虑预载荷)、三油叶、四油叶(载荷分别在瓦上及瓦间)等，以及计算多轴弯-扭耦合情况下系统的各种复杂动力特性。通过实际运用，验证了所使用理论及程序的有效性，通过分析这种常见的失稳现象，可以避免一些事故的发生，保证机组的安全、平稳运行。部分成果已投入使用。 (科技在线，版权所有，未经许可，请勿转载 http://www.xjtust.com)
1.“ Stability and Bifurcation of a Flexible Rotor-Fluid Film Bearing System with Squeeze Film Damper,” Journal of Vibration and Acoustics, Transactions of the ASME, Vol.120, No.4, 1998, pp.1003-1006.(Cited by SCI) (Jiazhong Zhang et al.) (科技在线，版权所有，未经许可，请勿转载 http://www.xjtust.com)
2.“ A Method for Following the Unstable Path between Two Saddle-Node Bifurcation Points in Nonlinear Dynamic System,” Journal of Applied Mathematics and Mechanics , Vol.20, No.12, 1999, pp.1384-1388.(Cited by EI & SCI) (Jiazhong Zhang et al.) (科技在线，版权所有，未经许可，请勿转载 http://www.xjtust.com)
3.“ Calculation and Bifurcation of Fluid Film with Cavitation Based on Variational Inequality,” International Journal of Bifurcation and Chaos, Vol.11, No.1, 2001, pp.43-55.(Cited by SCI) (Jiazhong Zhang ) (科技在线，版权所有，未经许可，请勿转载 http://www.xjtust.com)
4.“ Dynamic Stability of Doubly Curved Orthotropic Shallow Shells under Impact” AIAA Journal, Vol.39, No.5, 2001, pp.956-961.(Cited by SCI) (Jiazhong Zhang et al.) (科技在线，版权所有，未经许可，请勿转载 http://www.xjtust.com)
5. “Semi-analytical Stability Analysis of Doubly-curved Orthotropic Shallow Panels Considering the Effects of Boundary,” International Journal of Non-linear Mechanics, Vol.37, No.4-5, 2002, pp.659-667. (Jiazhong Zhang et al.) (科技在线，版权所有，未经许可，请勿转载 http://www.xjtust.com)
6. “ Stability and Bifurcation of Doubly Curved Shallow Panels under Quasi-static Uniform Load,” International Journal of Non-linear Mechanics, Vol.38. No.4, 2003,pp.457-466. (Jiazhong Zhang et al.)