... analysis Floquet theory Lyapunov exponents bifurcation diagrams phase portraits Poincare maps Hand transmitted vibrations (HTVs) can be classified as the vibrations transmitted to the human hand-arm system through the handle of vibrating equipment. Severe exposure of the human hand to HTVs...

... control Floquet theory harmonic balance ship stability National Board for Higher Mathematics 10.13039/501100005276 02011/2/2021/NBHM(R.P)/R and D II/3628 Ships navigating heavy seas are susceptible to various types of wave excitation. The dynamic interaction between the ship...

...-loop control systems with time-periodic delays. The proposed optimization-based framework employs the Galerkin method and Floquet theory and is shown to be capable of stabilizing systems considered in the literature. Finally, we present experimental validation of our theoretical results using a rotary...

... support (i.e., number of harmonics in the Fourier formulation), necessary to produce trustworthy results. A procedure to overcome this issue is here proposed and termed “trained HBM” (THBM). The results obtained by THBM are compared to those computed by Floquet theory, here used as a reference. The THBM...

...-invariant (LTI) approximation to the system. Floquet ( 1 ) initiated the study of LTP systems in the 1800s, and the Floquet theory has been applied to a variety of mechanical systems such as helicopters and wind turbines. Linear time-periodic systems are also frequently encountered when a nonlinear system...