Angular dimension of the initial phase in the full vector spectrum analysis theory was derived,and the space mode shapes of two and multiple sectional rotors were drawn by the initial phase.

Full vector spectrum(FVS)was expanded to multi-sections.

Combining the advantages of the full vector spectrum and kernel principle component analysis (KPCA) , a new fault diagnosis method for rotating machineery is proposed.

The clew of vector spectrum is introduced,the theory relationship between the vector spectrum and the signals are deduced,and they are applied to the actual fault diagnosis systems.

Facing the shortcomings of signal processing with a single channel,the paper proposes combining vector spectrum with the short time Fourier transform and establishing the concept of short-time vector power spectrum,whose calculation formulas were derived and whose spectral representation was expounded.

The signal can be decomposed by wavelet and the needed signals are reconstructed,the corresponding reconstructed signals of two channels are fused by vector spectrum technology,finally the fusion data is used to diagnose.

The functions of the system, the structure of the database, the diagnosis technology based on vector-spectrum and fuzzy neural network and the applications in the management for turbines of enterprise are put forward.

Two single pieces of signal is compounded to one piece of vector signal by the vector-spectrum theory,and the theory could reflect the real vibration of a rotor in certain section.

The Vector-spectrum is a joint name of vector spectrum and its patulous analysis methods, they fuse the double channels information and remain the meanings of corresponding traditional methods.