According to the problem of structural dynamic topological reanalysis for two continuous modifications, a new method for dynamic reanalysis of topological modified structure with added degrees and twice-continuous modifications was proposed in this paper. This method is a combined independent mass-orthogonalization strategy and a pseudo-random numbers initialization eigenvector method with Rayleigh-Ritz analysis. Compared with the direct finite element analysis, computational cost can be significantly reduced by this method, which is also easy ...