This paper presents the results of modelling a new nonlinear multi-stable QZEH (quasi-zero energy harvester) system for harvesting from vibrating mechanical devices. Detailed tests were carried out on model, which consisted beam and springs, used to determine potential quasi-flat well. Two-dimensional distributions Lyapunov exponent output numerical using assumed range variability within control parameters, plotted as map in multi-color. These maps are related diagrams RMS values voltage...

In this paper, model tests were carried out, which mainly focused on the numerical mapping of characteristics gear backlash. particular, effect approximation function value largest Lyapunov exponent was investigated. The generated multi-coloured maps served as a criterion for verifying results tests. analysis involved polynomial functions third degree, its modified structure, and logarithmic equation. As pattern to derived, mathematical used, in backlash modelled with non-continuous...

This paper presents the results of numerical simulations a non-linear, tristable system for harvesting energy from vibrating mechanical devices. Detailed model tests were carried out in relation to consisting beam and three permanent magnets. Based on derived mathematical assuming range control parameter variability, three-dimensional image distribution largest Lyapunov exponent was plotted. On its basis, regions chaotic predictable movement considered exist have been established. With...

The subject of the model research contained in this paper is a new design solution energy harvesting system with star-shaped structure elastic elements and variable configuration. Numerical experiments focused mainly on assessment configuration context efficiency. results computer simulations were limited to zero initial conditions as it natural position static equilibrium. article compares efficiency for selected range dimensionless excitation frequency. For purpose, four cases element...

The subject of the research contained in this paper is a new design solution for an energy harvesting system resulting from combination quasi-zero-stiffness harvester and two-stage flexible cantilever beam. Numerical tests were divided into two main parts-analysis dynamics due to periodic, quasiperiodic, chaotic solutions efficiency generation. results numerical simulations limited zero initial conditions as they are natural position static equilibrium. article compares selected range...

Mandible displacement is known to correlate with otological conditions such as pain in the ear canal, hearing loss, or tinnitus. The present work aimed determine association between of condyle a temporomandibular joint, structure and position petrotympanic fissure (PTF), comorbid tinnitus patients affected by joint muscle disorder (TMD). We enrolled 331 subjects TMD (268 women 63 men). average age was 40.8 ± 16.8 years (range 13-88), whereas examined men 38 14 13-74). performed imaging...

Abstract This paper examines the oscillations of a spherical pendulum with horizontal Lissajous excitation. The has two degrees freedom: rotational angle defined in plane and an inclination by respect to vertical z axis. results numerical simulations are illustrated mathematical model form multi-colored maps largest Lyapunov exponent. graphical images geometrical structures attractors placed on Poincaré cross sections shown against resolution density trajectory points passing through control...

The piezoelectric energy-harvesting system with double-well characteristics and hysteresis in the restoring force is studied. proposed consists of a bistable oscillator based on cantilever beam structure. elastic potential modified by magnets. an additional effect composite considered this system, it effects modal solution specific mass distribution. Consequently, response compromise between two overlapping, competing shapes. simulation results show evolution single well solution,...

The Purpose of the Paper. Qualitative and quantitative analysis selected parameters mandible movements, electronically registered in patients with temporomandibular joint dysfunction healthy ones. Material . Function test movements was conducted 175 patients. Gender distribution 143 women 32 men, aged 9 to 84. Methods studied population, after accurate clinical examination, divided into age groups range five years. All had Zebris JMA computerized facebow examination done, according generally...

The basic types of multi-stable energy harvesters are bistable harvesting systems (BEH) and tristable (TEH). present investigations focus on the analysis BEH TEH systems, where corresponding depth potential well width their characteristics same. efficiency for assuming similar parameters is provided. Providing such allows reliable formulation conclusions about in both systems. These based permanent magnets a cantilever beam designed to obtain from vibrations. Starting bond graphs, we derived...

The article presents one-girder roadway structures for suspended cranes, conveyors and other machinery, as well different ways of dimensioning them, taking into account the specifics state load acting on lower flange in accordance with new standard EN15011:2011+A1:2014. In addition, an example numerical modelling, using finite element method, overhead travelling crane I-beam girder, being a hoist, is presented. focus primarily local stresses occurring flange, which arise result occurrence...

The present study aimed to determine the numeric projection of function mandible and muscle system during mastication. An experimental was conducted on a healthy 47 year-old subject. On clinical examination no functional disorders were observed. To evaluate activity mastication functioning, bread cubes hazelnuts selected (2 cm2 1.2/1.3 cm in diameter, respectively) for condyloid processing. assessment functioning determined basis calculations with novel software programme, Kinematics 3D,...

This paper presents the results of computer simulations a gear model, where variable stiffness meshing and backlash are considered.The outcome such assumptions is non-linear mathematical model in which chaotic phenomena can occur.During studies, attention was paid to identification areas limited by physical parameters, for analysed system behaved chaotically.To determine ranges irregular behaviour, numerical procedures were used plot bifurcation diagram, Lyapunov exponent,...

The aim of this work is to model the dynamics flexible couplings. On basis a non-linear mathematical solved by bond graph, ranges excitation frequency were determined, in which movement couplings chaotic. For three couplings, 3D distributions largest Lyapunov exponent and correlation dimension diagram (CDD) plotted. proposed illustrates how geometric structure attractor changes when conditions change. classic Poincare cross-section, completed us with density points distribution,...

In this paper, the frequency broadband effect in vibration energy harvesting was studied numerically using a quasi-zero stiffness resonator with two potential wells and piezoelectric transducers. Corresponding solutions were investigated for system excitation harmonics at various frequencies. Solutions higher voltage output collected specific branches of power diagram. Both resonant solution synchronized responses subharmonic spectra found. The selected cases illustrated classified phase...

PURPOSE OF THE PAPER: This paper is an attempt to mathematically describe the mastication organ muscle functioning, taking into consideration impact of central nervous system.To conduct model tests, three types craniums were prepared: short, normal, and long. The necessary numeric data, required prepare final calculation models different craniofacial types, used identify occlusion forces generated by muscles in area incisors molars. mandible tests was treated as a nondeformable stiff...

Abstract This paper investigates the nonlinear dynamics of a flexible tyre coupling via computer modelling and simulation. The research mainly focused on identifying basins attraction coexisting solutions formulated phenomenological model. On basis derived mathematical model, by assuming ranges variability control parameters, areas in which chaotic clutch movement takes place are determined. To identify multiple solutions, new diagram (DS) was used, illustrating number their periodicity. DS...