Experimental Verification of the Mathematical Model of an Opened Thin-Wall Shell Forced Vibrations with a Small Attached Mass and a Rigidly Clamped Edges

The operation of a structure of thin-walled open cylindrical shells with high economic efficiency is associated with the phenomenon of oscillations and resonance from the effects of cyclic loads and systems of attached masses. The oscillation processes of such structures are not sufficiently studied at present. The article describes a test bench for testing open thin-walled cylindrical shells hinged on the edges that carry a system of attached masses, and the results of experiments on the nature of a reduced-scale shell model are presented. The attached mass system represents metal cylinders of different masses arranged in a certain sequence on the shell body. The experimental dependence of the change in the frequency spectrum of the shell oscillations on the number, mass, and location of the system of attached masses is obtained. A mathematical model is developed for the behavior of an open thin-walled cylindrical shell with a system of attached masses, consistent with the experimental data for forced vibrations of the shell.

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Rig Test and Analysis of Dynamic Engagement Process of Wet Clutch

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.945-949.1461 ◽

2014 ◽

Vol 945-949 ◽

pp. 1461-1464

Author(s):

Han Yu Jin ◽

Xiu Sheng Cheng ◽

Xiu Feng Song

Keyword(s):

Mathematical Model ◽

Experimental Verification ◽

Constant Pressure ◽

Simulation Analysis ◽

Test Rig ◽

Wet Clutch ◽

Engagement Process ◽

Working Principle ◽

The Mathematical Model

The working principle of wet clutch was analyzed and the mathematical model was established for torque deliver. Experimental verification and simulation analysis was carried out for the clutch model in the situation of constant pressure engaging process. An efficiency examination of wet clutch implemented on the test rig and provided theory evidence for pressure precisely control.

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Water diffusion in polymer coatings containing water-trapping particles. Part 2. Experimental verification of the mathematical model

Progress in Organic Coatings ◽

10.1016/j.porgcoat.2012.05.008 ◽

2012 ◽

Vol 75 (3) ◽

pp. 207-214 ◽

Cited By ~ 11

Author(s):

Małgorzata Krzak ◽

Zbisław Tabor ◽

Paweł Nowak ◽

Piotr Warszyński ◽

Anastasis Karatzas ◽

...

Keyword(s):

Mathematical Model ◽

Experimental Verification ◽

Polymer Coatings ◽

Water Diffusion ◽

Water Trapping ◽

The Mathematical Model

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DETERMINATION OF TRANSFER FUNCTION OF MAGNETIC LEVITATION MODEL AND EXPERIMENTAL VERIFICATION OF OPTICAL SENSOR

TECHNICAL SCIENCES AND TECHNOLOG IES ◽

10.25140/2411-5363-2019-4(18)-148-154 ◽

2019 ◽

pp. 148-154

Author(s):

Erik Prada

Keyword(s):

Mathematical Model ◽

Transfer Function ◽

Experimental Verification ◽

Optical Sensor ◽

Magnetic Levitation ◽

Positioning Systems ◽

Levitation System ◽

Magnetic Levitation System ◽

The Mathematical Model

Urgency of the research. The potential of controlling the position of levitating objects has great application in deposition and in various positioning systems. Magnetic levitation eliminates direct mechanical friction between moving parts. Target setting. The measurement shielding method used is one of the methods of determining the position of a levitating object. By combining positioning and regulating elements, we achieve a feedback control. The use of a given type of measurement has advantages in places where the use of other methods is not appropriate. Actual scientific researches and issues analysis. The problem of magnetic levitation is addressed by several research laboratories with a direct connection to practice. The problem that is currently solved within magnetic levitation is the regulation of the levitating object using various types of regulators. The research objective. Derivation of mathematical model of magnetic levitation and examination of nonlinear system followed by linearization by Taylor series. Experimental determination of characteristics and dependence between object position, voltage and current. The statement of basic materials. The position of the levitating object is determined by the shading of the optical sensor. The light source is a laser light. Conclusions. In this work we defined the mathematical model of the magnetic levitation system and subsequently derived the transfer function of the levitation system and the position sensor. From the experimental verification of the shadow method for the determination of the position of the levitating object and the consequent need for regulation, we found that the dependence of the position of the levitating object on current and voltage on the photodiode is linear in the active region.

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Mathematical Modelling of Thin-Walled Cold-Rolled Cross-Section

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.617.171 ◽

2014 ◽

Vol 617 ◽

pp. 171-174 ◽

Cited By ~ 6

Author(s):

Jakub Flodr ◽

Martin Krejsa ◽

David Mikolášek ◽

Oldrich Sucharda ◽

Libor Žídek

Keyword(s):

Mathematical Model ◽

Static Analysis ◽

Cross Section ◽

Wind Engineering ◽

Thin Wall ◽

Software Applications ◽

Extreme Loads ◽

Load Carrying ◽

Cold Rolled ◽

The Mathematical Model

The purpose of the paper is to perform a static analysis of a thin-wall cold-rolled steel cross-section of a trapezoidal sheet by means of a mathematical model developed in ANSYS, commercially available software applications. The trapezoidal sheets are used typically as an external cladding which covers the structures of steel halls. Investigating into behaviour of the trapezoidal sheets subjected to extreme loads represents an urgent issue in wind engineering. A physical tension test has been performed in order to verify and confirm the mathematical model. Experiments have been performed to prove results of the static analysis into the behaviour of a load-carrying structure formed by a thin-wall cross-section.

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Experimental verification of a mathematical model of a computer effusion decreasing discharge pressure gas density analyzer

Izmeritel`naya Tekhnika ◽

10.32446/0368-1025it.2020-3-57-63 ◽

2020 ◽

pp. 57-63

Author(s):

Stanislav Yu. Zhigulin ◽

Leonid V. Iliasov

Keyword(s):

Mathematical Model ◽

Model Test ◽

Experimental Verification ◽

Experimental Studies ◽

Calculated Data ◽

Effect Of Temperature ◽

Experimental Setup ◽

Gas Density ◽

Discharge Pressure ◽

The Mathematical Model

The article presents the results of checking mathematical model of the created decreasing pressure effusion computer gas density analyzer. Operating principle of a decreasing pressure effusion gas density analyzers is based on measuring the outflow time of the analyzed gas certain volume through a microdiaphragm. A generalized scheme of such analyzers and their operation are described in article. Initial equations of the mathematical model, the assumptions and the results of the development of the mathematical model are presented. The created experimental setup for testing the developed mathematical model and its operation also are described. The mathematical model was tested in the course of numerous experiments on this facility for a number of gases. Studies have also been performed to assess the effect of temperature on the measurement result. The results of the mathematical model test are presented in the article. The results of experimental studies were compared with the calculated data obtained on the basis of a mathematical model. As a result, the error of the mathematical model of the decreasing pressure effusion gas density analyzers was determined and conclusions were made about its adequacy and possible further use for designing and calculating decreasing pressure effusion gas density analyzers.

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The Numerical Simulation and Optimization of Feeding Velocity in Rubber Roller Husker Vibrating Feeder

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.635-637.233 ◽

2014 ◽

Vol 635-637 ◽

pp. 233-236 ◽

Cited By ~ 1

Author(s):

Jing Lan Ruan ◽

Le Le Jia

Keyword(s):

Numerical Simulation ◽

Mathematical Model ◽

Experimental Verification ◽

Feeding System ◽

Optimal Parameters ◽

Theory Analysis ◽

Simulation And Optimization ◽

Rubber Roller ◽

The Mathematical Model ◽

Vibrating Feeder

Establish the mathematical model of feeding velocity in Rubber Roller Husker vibrating feeder through analyzing the material movement, and determine the relational expression according to the theory analysis of material movement in the feeder. Analyzing the influence of groove obliquity angle , vibrating direction angle, frequencyand amplitude, which are simulated numerically by using the MATLAB software, and optimizing the material theoretical speed are the main objective. The optimal parameters of transmission and the experimental verification can provide more reference for the design of the Rubber Roller Husker vibrating feeding system.

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