Forced Response of Structural Dynamic Systems With Local Time-Dependent Stiffnesses

Dynamic response reanalysis for modified structures under arbitrary excitation using epsilon-algorithm

“…Substituting the modified mass, damping and stiffness matrices M 0 , C 0 , K 0 and load vector R 0 into Eqs. (17), (18), Eq. (16) becomes…”

“…In the particular systems with time-dependent mass, damping and stiffness matrices which are mentioned in Ref. [18], the proposed method is used to obtain the inverse of equivalent stiffness matrix in each time step, thus reducing the computational efforts. Even in the situations that mass, damping and stiffness matrices keep constant with time varying, the proposed method can also avoid computing the inverse of the modified equivalent stiffness matrix which is constant.…”

Dynamic analysis of a geared rotor system considering a slant crack on the shaft

“…Deltombe et al [39] presented a direct spectral method (DSM) to directly calculate the forced response of structural dynamic systems with local time-dependent stiffness. Here, the DSM is utilized to obtain the steady-state forced response of the cracked geared rotor-bearing system under transmission error and unbalance force excitations.…”

Efficient computation for dynamic responses of systems with time-varying characteristics

“…According to the classical Newmark method, the equivalent stiffness matrices of above systems are break time-varying too so that the inverses of the matrices should be recalculated in each time step which is a tedious job when the DOF of structures becomes large. References [9,10] show us several ways to give approximate results for the structures with time-varying stiffness. But their methods are limited to the systems with periodically varying parameters.…”