A Riccati-transfer matrix method for shock response computation of rotor systems

The conventional Newmark method based on average acceleration concept cannot be directly applied to solve state-space first-order differential equations, which contains no explicit acceleration terms. Combining with a Newmark iteration algorithm based on average velocity concept, a Riccati-transfer matrix method was proposed to obtain transient response of rotor systems under base shock excitations. The derivation of system's first-order differential equations and transient transfer matrixes was described in detail. Through numerical iteration, it has successfully obtained time-varying responses, including displacement, velocity and acceleration terms. The utility and validity of the proposed method was confirmed by an application example at last.