Abstract: The global identification algorithm of orthogonal polynomials for vibration modal parameters is studied. A new global identification algorithm based on transition matrix is raised to correct the error of determining the polynomials, coefficients of the rational fraction's denominator in the algorithm invented by Richardson. Using the new algorithm, the higher precision of the global identification of modal parameters is obtained.

Key words: Analysis, Global identification, Orthogonal polynomials, Parameter, Vibration modal