Fault Diagnosis and Evaluation Based on Differential Geometry

As industrial equipment is becoming more and more modern with increasing complexity of structures, the health assessment and diagnosis of equipment has become a hot research direction. However, health assessment and diagnosis technology is facing great challenges due to the complex coupling and high degree of nonlinearity in industrial equipment, and the information used to identify health state often appears to be highly nonlinear, non-stationary, and non-Gaussian. The recent development of differential geometry theory and its advantages in nonlinear analysis [1] provide an important tool for dealing with nonlinear problems in the field of fault diagnosis [2]. The application of differential geometry technology in health assessment and diagnosis of industrial equipment is in line with the needs of research.