... on the complexification-averaging and multiscale methods. Second, an approximate expression for the extreme points on the slow-invariant manifold (SIM) of the system is derived by polynomial approximation, and the energy dissipation equation of the combined-stiffness nonlinear energy sink system is derived. The impacts...

... for certain applications such as turbo-machinery and spacecraft. The mechanism of granular damping is highly nonlinear, and the energy dissipation capability depends on a number of factors such as excitation amplitude, frequency, granular material parameters, packing ratio, etc. To date, many experimental...