Analysis of body sliding along cable

Kožar, Ivica; Malić, Neira Torić

doi:10.12989/csm.2014.3.3.291

Cited by 8 publications

(6 citation statements)

References 4 publications

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“…Model 1, expressed by expression (1), was applied to the measured samples. The steepness analogy between expression 1 for the complex relative permittivity and the same form of expression for the complex impedance of the sample or the specific impedance of the matrix was used, in accordance with [11][12][13][14][15][16][17][18][19][20]. This was due to the mismatched shape of the complex permittivity spectrum and, conversely, the appropriate shape of the impedance spectrum in Figure 3.…”

Section: Resultsmentioning

confidence: 99%

Impedance spectroscopy – comparison of dielectric model with experimental results

Kusak,

Lunak,

Mizerova

et al. 2023

J. Phys.: Conf. Ser.

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Impedance measurements of building materials have been gaining popularity especially in the last twenty years. No electrical component has only resistance, capacitance or inductance, as there is an interplay of these parameters. This is compounded in the case of building materials, which contain a significant number of different phases that vary in chemical composition, crystalline structure and properties. It is, therefore, necessary to choose a connection and measurement system that provides the most accurate information about the building material. This information is primarily meant to include the complex impedance, its components and the quantities derived from them. The derived quantities are electrical resistance or electrical capacitance. Using these quantities we can point out the composition of the material, its conductivity and identify the percolation threshold or describe its sensory properties in more detail. For measurements, an alternating electric field is crucial, and the range of frequencies depends on the instruments used. For materials characterization, the most used frequency range is 100 Hz to 100 kHz; however, we can measure down to 1 MHz.

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Section: Resultsmentioning

confidence: 99%

Impedance spectroscopy – comparison of dielectric model with experimental results

Kusak,

Lunak,

Mizerova

et al. 2023

J. Phys.: Conf. Ser.

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“…The Pearson correlation coefficient is a tool for a correlation analysis, it represents the evidence of dependence between compared quantities and the level of tightness of the assumed dependency between them. It can take values from -1 to 1, where 1 represents the absolute linear dependence between the evaluated quantities, 0 means inconclusive dependence between the quantities, and the negative value of the coefficient indicates declining values of the first from the evaluated quantities with increasing values of the second one [13][14]. From a statistical point of view, the significance of the value of the correlation coefficient must be always decided based on null testing hypothesis H0 meaning there is no dependence between quantities -linear, against the H1 meaning that the dependence is present.…”

Section: Experiments Setup and Resultsmentioning

confidence: 99%

Impedance spectroscopy – comparison of dielectric models with a real RC circuit

Kusák

Lunak

Mizerová

et al. 2022

J. Phys.: Conf. Ser.

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When studying heterogeneous systems, it is necessary to know properties of all present phases and also structure and behaviour of their mutual interfaces. A discrete model respects atomic structure of bodies (atomic in the sense of particles as carriers of homogeneous properties). It replaces individual atoms with mass points called particles whilst each one of them is a carrier of properties (attributes). The goal of the mathematical formulation of a discrete model is assigning values to particles’ properties. These are displays from a set of particles into a set of attribute values. In general, each one of these displays is a time function. In the paper, we compare a parallel RC circuit with a model outcome. Real electrotechnical components were used: a resistor and a capacitor, which are commonly available in electrical component shops. The accuracy of the value of electrical capacity is below 20 %, the accuracy of the value of electrical resistance is below 5%. The guide value was determined using the Tesla BM595 bridge RLCG meter. R = 9.58 MΩ, C = 10.25 pF – measured at frequency of 1000 Hz. An electrically conductive parallel connection of the resistor and the capacitor was inserted between electrodes and a conductive contact was made.

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“…Usually, the centre of gravity of the mass is outside the rope axis, which is modelled with a pendulum attached to the rope. A similar problem was analysed in [1] and this is the 3D extension of this work. The terms 'cable' and 'rope' are used interchangeably throughout the paper to emphasise that the cable in the model is massless.…”

Section: Introductionmentioning

confidence: 94%

Analysis of 3D Pendulum sliding along a Rope

Kožar

2024

Preprint

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The paper deals with a dynamic engineering problem in which a mass attached to a pendulum slides along a cable. In this problem, the pendulum mass and the cable are coupled in a model described by a system of algebraic differential equations (DAE). In this paper, the formulation of the system of differential equations modelling the problem is presented together with the determination of the initial conditions. The developed model is general in the sense of a free choice of support location, elastic rope properties, pendulum length and the inclusion of braking forces. This model can be used in the design of real rope structures such as zip lines. Many calculated values that can be measured on a real structure can be exported from the model and used for parameter calibration. In one example, the model is related to a real rope structure to illustrate and validate the model. The most important aspect of the model is its ability to estimate the safety of a ropeway quickly and easily.

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Analysis of body sliding along cable

Cited by 8 publications

References 4 publications

Impedance spectroscopy – comparison of dielectric model with experimental results

Impedance spectroscopy – comparison of dielectric model with experimental results

Impedance spectroscopy – comparison of dielectric models with a real RC circuit

Analysis of 3D Pendulum sliding along a Rope

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