Fault diagnosis method and device for gear transmission system, terminal and storage medium

The invention provides a fault diagnosis method and device for a gear transmission system, a terminal and a storage medium. The method comprises the following steps: acquiring multiple paths of homologous state signals obtained by carrying out an accelerated life test on a gear transmission system; wherein each path of state signal corresponds to different moments; performing synchronous noise reduction on each path of state signal through a multi-dimensional variational mode decomposition algorithm to obtain a specified number of noise reduction signals; respectively carrying out time delay processing on each noise reduction signal to obtain a plurality of delay signals; performing Schmidt orthogonalization processing on each delay signal to obtain a plurality of orthogonalization signals; establishing a state density matrix of the gear transmission system based on each orthogonalization signal; calculating the Rayleigh entropy of the state density matrix, taking the Rayleigh entropy as the time delay Raylei