Establishment of the original frequency of the continual section of the interreson research machine Rayleigh–Ritz method

Lanets, Oleksiy; Kachur, Oleksandr; Borovets, Volodymyr; Dmyterko, Petro; Derevenko, Iryna; Zvarich, A. Ya.

doi:10.23939/istcipa2020.54.005

Cited by 4 publications

(3 citation statements)

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“…For section 1 of a diamond-shaped plate, the ratio of the kinetic energy 1 K to the square of the first circular frequency of oscillations 2  during deflection along a hyperboloid's surface at the first eigenfrequency can be determined from the equation [3]: The ratio 2 2 / K  for section 2 of the plate will take the form:…”

Section: Kp =mentioning

confidence: 99%

“…Calculations of the parameters of inter-resonance vibrating machines are given a lot of attention in scientific works [1]. Also recently, the synthesis of continuous members into classical discrete models of multi-mass oscillating systems has become common [2]. The most optimal option is to use a continuous member as a reactive mass of a vibrating machine.…”

Section: Introductionmentioning

confidence: 99%

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Approximate calculation of natural frequencies of oscillations of the diamond-shaped plates of the discrete-continuous inter-resonance vibrating table

Lanets

Maistruk

Derevenko

et al. 2023

IOP Conf. Ser.: Mater. Sci. Eng.

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Conventional single- and two-mass vibrating machines do not have a sufficient level of energy efficiency. There are vibration machines based on inter-resonance oscillating systems, which make possible the significant reduction in the use of electricity. To implement highly effective inter-resonance operation modes of vibrating machines, the oscillating masses of such a system must precisely calculate values of inertial-rigid parameters, as well as their frequency of oscillations. Since the synthesis of continuous sections into classical discrete models of multi-mass mechanical oscillating systems has recently become widespread, the most optimal option is to use a continuous member as a reactive mass of a vibrating machine. The continuous member combines inertial and stiffness parameters and makes it extremely easy to perform the reactive mass. In particular, rectangular plates are used as continuous members. The rectangular shape of the plate is not the only option for making a continuous member. This paper proposes the construction of a discrete-continuous inter-resonance vibration machine with electromagnets, where a diamond-shaped plate is used as a continuous member. The authors carried out the computation of the first natural frequency of the diamond-shaped plate using the Rayleigh-Ritz method with the equation of the hyperboloid. The determined eigenfrequency was confirmed in the Ansys software.

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Section: Kp =mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Approximate calculation of natural frequencies of oscillations of the diamond-shaped plates of the discrete-continuous inter-resonance vibrating table

Lanets

Maistruk

Derevenko

et al. 2023

IOP Conf. Ser.: Mater. Sci. Eng.

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“…Розглянемо основні технічні характеристики теплових пожежних сповіщувачів. В основу роботи теплових пожежних сповіщувачів покладені різні ефекти та явища [1][2][3][4][5][6][7]:…”

Section: виклад основного матеріалуunclassified

Analysis of the Determining Methods of the Thermal Fire Detectors Time Parameters

Vasiljeva

Kozak

2023

MEC

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The article is devoted to substantiating the pulse method of time parameters determining - the thermal fire detectors' operation time and constant time with a thermal resist sensitive element. Significant research is that the time parameters of thermal fire detectors include the operation time and constant time that are interconnected. It is shown that the contribution of constant time to the operation time can be up to 20% at a speed of change in ambient temperature 0.50C per C-1. It is also found that their testing is used to determine the time parameters of thermal fire detectors, which are divided into stationary or autonomous and operational or object. The article specifies that the disadvantage of inpatient tests with the help of heat chambers is the asymmetry of the airflow distribution and temperature, and the lack of such tests employing standard combustion cells is that the thermal impact parameters on the fire detector sensitive element are not normalized. The research results have found that the amount of the fire detectors' constant time is not determined, and only control of the fire detectors' operation time is carried out according to the admission criteria. During the object tests, in most cases, the thermal impact on a fire detector's sensitive element with the help of small heat chambers is realized, the purpose of such tests is to check the fire detectors' performance without obtaining estimates of their operation time and constant time. It is worth noting that the thermal impact on the fire detector's sensitive element can be carried out with the help of both external and internal sources of heat. The second option is characteristic of fire detectors with a thermal resist sensitive element and is based on the use of the Joule-Lenz effect (heating of a conductor or semiconductor is directly proportional to its resistance, the duration of the current and the square of the current). In this case, new opportunities are opened to improve the efficiency of the fire detectors operation of this type. Keywords: fire equipment, detectors, improving the efficiency of the fire detectors operation, time parameters of thermal fire detectors.

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Approximate calculation of natural frequencies of oscillations of the plate with variable cross-section of the discrete-continuous inter-resonance vibrating table

Lanets¹,

Maistruk²,

Maіstruk³

et al. 2022

UJMEMS

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Problem statement. To ensure highly efficient inter-resonance modes of operation of vibrating equipment, the oscillating masses of the system must have certain inertia-rigid parameters, as well as a certain frequency of natural oscillations. The disadvantage of highly efficient inter-resonance oscillatory systems is that the third reactive mass must be small, and therefore the use of complex and large structures is impossible. Therefore, it is best to use the reactive mass as a continuous section. The continuous section, which is a flexible body, optimally combines inertial and rigid parameters. Scientific works have already considered the design of the vibrating table, in which the continuous section is an ordinary rectangular plate hinged in the intermediate mass. This decision looks quite promising. However, likely, the rectangular shape of the plate is not the best option to ensure maximum energy efficiency. Purpose. Extend the method of calculating the natural frequency of oscillations of the plates by the approximate Rayleigh-Ritz method using the general hyperboloid equation to plates with variable cross-section for the proposed types of plates and check the results with the calculation in Ansys software. Methodology. The calculations of the plates were performed using the basic principles of the theory of oscillations, in particular the Rayleigh-Ritz method in the software product MathCAD. Findings (results) and originality (novelty). Two types of elastic plates with variable cross-sections are considered. In the first case, the shape of the plate was given by quadratic functions, in the second case, it was described by trigonometric functions of cosine. In both cases, the same conditions of attachment in the intermediate mass were observed. The calculation of the first natural frequency of oscillations of the considered plates was performed using the approximate Rayleigh-Ritz method with the assumption that the deflection of the plates occurs on the surface of the hyperboloid. The reliability of the obtained results was verified by numerical calculation in the software product Ansys. Practical value. It is assumed that the proposed types of plates can increase the dynamic potential of the vibrating machine. Scopes of further investigations. For further study of the considered types of plates as a continuous section of the inter-resonance vibrating machine, it is necessary to calculate their deflections at forced oscillations.

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Establishment of the original frequency of the continual section of the interreson research machine Rayleigh–Ritz method

Cited by 4 publications

References 1 publication

Approximate calculation of natural frequencies of oscillations of the diamond-shaped plates of the discrete-continuous inter-resonance vibrating table

Approximate calculation of natural frequencies of oscillations of the diamond-shaped plates of the discrete-continuous inter-resonance vibrating table

Analysis of the Determining Methods of the Thermal Fire Detectors Time Parameters

Approximate calculation of natural frequencies of oscillations of the plate with variable cross-section of the discrete-continuous inter-resonance vibrating table

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