... 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...

... ] to convert the DDE into a set of ordinary differential equations, then apply Floquet theory. We use the pseudo-arc-length continuation method [ 10 ] to solve Eq. (44) for A and B . Next, we express r 0 ( t ) from Eq. (43) in polar form: (45) r 0 ( t ) = R   cos...

...-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...

... instants over the fundamental period, and Eq. 20 was then used to solve for A ( t ) at each time instant. 28 12 2007 31 12 2008 24 08 2009 Fourier series frequency-domain analysis matrix algebra nonlinear dynamical systems rotors Floquet theory Floquet...