in this paper, matlab code for a recently developed meta-heuristic methodology, the vibrating particles system (vps) algorithm, is presented. the vps is a population-based algorithm which simulates a free vibration of single degree of freedom systems with viscous damping. the particles gradually approach to their equilibrium positions that are achieved from current population and historically b...

In this article we derive error estimates for the Galerkin approximation of a general linear second order hyperbolic partial differential equation. The results can be applied to a variety of cases e.g. vibrating systems of linked elastic bodies. The results generalize the work of Baker [1] and also allow for viscous type damping. Splitting the proofs for the semidiscrete and fully discrete case...

We study the free decay of capillary turbulence on the charged surface of liquid hydrogen. We find that the decay begins from the high frequency spectral domain of the surface oscillations and is of a quasi-adiabatic character. The characteristic relaxation time of the whole turbulent cascade is close to the viscous damping time for capillary waves of frequency equal to the driving frequency. P...

We derive the bulk viscous damping timescale of hybrid stars, neutron stars with quark matter core. The r-mode instability windows of the stars show that the theoretical results are consistent with the rapid rotation pulsar data, which may give an indication for the existence of quark matter in the interior of neutron stars. Hybrid stars instead of neutron or strange stars may lead to submillis...

Previous research has shown that passive (or ballistic) walking is an energetic efficient and mechanical cheap way of walking. Therefore ballistic walking would be suitable for apphcauons in rehabilitation technology and autonomous robots. Successful application would require a smooth hip trajectory in ordet to protect respectively the patient or electronics against large velocity changes due t...

In this article, a mathematical model and its parameter identification scheme are proposed for harmonic drive gears with compliance and hysteresis. The hysteresis phenomenon in harmonic drives is described by a nonlinear differential equation representing the torque–displacement relationship across the flexpline of the harmonic drive. The representation is equivalent to having the combination o...

In this paper, one type of segmented MEMS mirror is evaluated in detail, particularly with regard to its usable actuation bandwidth. In many emerging applications it is important to operate devices at control bandwidths well above 10kHz. In this paper it is demonstrated that careful design and environmental control can permit actuator bandwidths exceeding 100 kHz. Alternatively, it will be show...

The simple harmonic vibration, damping vibration and forced vibration of an oscillator attached to the massless spring are always discussed in general mechanics courses. In this article, we focus on the heavy-spring conditions. We first investigate the general situation where both viscous resistance and applied force are considered under the perspective of the renormalization group theory. Then...