Modal coupling in lightly damped structures

Exact and numerical responses of a plate under a turbulent boundary layer excitation

“…In fact, in that case the coupling between the models should be accounted and any uncoupled formulation, as Eq. (7), should not be pursued (Hasselman, 1976(Hasselman, , 1977Flax, 1977).…”

Stability analysis in milling of flexible parts based on operational modal analysis

“…The modal residues are generally complex, however, the imaginary parts are small for very low levels of damping and significant spacing of modal frequencies [14]. Thus the method is restricted to cases where the vibration response to the harmonic is dominated by the mode of interest.…”

Inclusion of higher modes in the analysis of non‐classically damped systems

“…A computer program for this method may be obtained by minor modifications to an existing program for step-by-step time integration. The authors believe that this method is numerically robust since it consists of direct integration of transformed equations (for which well-known stable and accurate schemes such as Newmark's constant average acceleration can be used) and an algebraic addition as in equation (4). Also, if the stiffness matrix exists already in a decomposed form, as in most computer programs, then evaluation of {y"} and hence {JJ} is quite efficient.…”