2019
DOI: 10.1155/2019/9154272
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Dynamic Analysis of Flexible Rotor Based on Transfer Symplectic Matrix

Abstract: In view of the numerical instability and low accuracy of the traditional transfer matrix method in solving the high-order critical speed of the rotor system, a new idea of incorporating the finite element method into the transfer matrix is proposed. Based on the variational principle, the transfer symplectic matrix of gyro rotors suitable for all kinds of boundary conditions and supporting conditions under the Hamilton system is derived by introducing dual variables. To verify the proposed method in rotor crit… Show more

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“…e FEM was incorporating into the transfer matrix and the transfer symplectic matrix was derived based on the variational principle and the numerical accuracy is better than that of the traditional method [16].…”
Section: Introductionmentioning
confidence: 99%
“…e FEM was incorporating into the transfer matrix and the transfer symplectic matrix was derived based on the variational principle and the numerical accuracy is better than that of the traditional method [16].…”
Section: Introductionmentioning
confidence: 99%