We consider the problem and normal oscillations (eigenoscillations) of system three connected (coupled to each other) pendulums with cavities filled one or several immiscible homogeneous fluids. study case partially dissipative where cavity first pendulum is completely two ideal fluids, second viscous third fluid. use methods functional analysis. prove theorem on correct solvability initial-bou...

Parametrically excited oscillators are used in several domains, particular to improve the dynamical behaviour of systems like case parametric amplification or energy harvesting. Although dry friction is often omitted during system modelling due complexity its nonsmooth nature, it sometimes necessary account for this kind damping adequately represent motion. In paper, proposed investigate effect...

Consider a system _ x = f(x; t; t) with a time-varying vectorreld which contains a regular and a slow time scale (large). Assume there exists () such that kx (t; t 0 ; x 0)k K()kx 0 ke ()(t?t0) where x (t; t 0 ; x 0) is the solution of the system _ x = f(x; t;) with initial state x 0 at t 0. We show that for suuciently large, _ x = f(x; t; t) is exponentially stable when the average of () is ne...

We report the fabrication, integration, and assessment of sharp diamond tips for ultrasensitive force microscopy experiments. Two types of tips, corresponding to the upper and lower halves of a diamond nanowire, were fabricated by top-down plasma etching from a single-crystalline substrate. The lower, surface-attached halves can be directly integrated into lithographically defined nanostructure...

Upper bounds on Newton’s, Poisson’s, and energetic coefficients of normal restitution for the frictional impact of rigid pendulum against a fixed surface are derived, demonstrating that the upper bound on Newton’s coefficient is smaller than 1, while the upper bound on Poisson’s coefficient is greater than 1. The upper bound on the energetic coefficient of restitution, which is a geometric mean...

This paper describes a novel method for the modeling of intermittent contact in multi-rigid-body problems. We use a complementarity based time-stepping scheme in Featherstone’s Divide and Conquer framework to efficiently model the unilateral and bilateral constraints in the system. The time-stepping scheme relies on impulse-based equations and does not require explicit collision detection. A se...