Determination of rheological model coefficients of pipeline composite material layers based on spectrum analysis and optimization
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Vilnius Gediminas Technical University, Department of Mobile Machinery and Railway Transport, Vilnius, Lithuania
Mykola Karpenko   

Department of Mobile Machinery and Railway, Vilnius Gediminas Technical University, Saulėtekio al. 11, LT-10223, Vilnius, Lithuania
Submission date: 2020-11-12
Final revision date: 2021-02-08
Acceptance date: 2021-02-09
Online publication date: 2021-04-03
Publication date: 2021-04-15
Journal of Theoretical and Applied Mechanics 2021;59(2):265–278
The article presents theoretical and experimental investigation on properties of a composite material based on rubber. The approach presented in this research is an experimental measurement based on spectrum analysis combined with theoretical investigation held to describe a viscous-elastic behaviour of the material. The proposed mathematical model is represented by five rheological parameters of hybrid Maxwell and Kelvin-Voigt elements and includes an optimization task for determination of the stiffness and damping coefficients. In the proposed rheological model, not only the displacements are unknown but also forces described by second-order differential equations. Validation between the experimental measurement and theoretical investigation is made based on spectrum analysis.
Abe A., Kamegawa T., Nakajima Y., 2004, Optimization of construction of tire reinforcement by genetic algorithm, Optimization and Engineering, 5, 77-92,.
Avril S., Bonnet M., Bretelle A., Grédiac M., Hild F., Ienny P., Latourte F., Lemosse D., Pagano S., Pagnacco E., Pierron F., 2008, Overview of identification methods of mechanical parameters based on full-field measurements, Experimental Mechanics, 48, 381.
Baranowski P., Janiszewski J., Małachowski J., 2017, Tire rubber testing procedure over a wide range of strain rates, Journal of Theoretical and Applied Mechanics, 55, 2, 727-739.
Baranowski P., Małachowski J., Mazurkiewicz Ł., 2020, Local blast wave interaction with tire structure, Defence Technology, 16, 3, 520-529.
Bertaglia G., Ioriatti M., Valiani A., Dumbser M., Caleffi V., 2018, Numerical methods for hydraulic transients in visco-elastic pipes, Journal of Fluids and Structures, 81, 230-254
Bogdevičius P., Prentkovskis O., Bogdevičius M., 2017, Transmission with cardan joint parametre influence to centrifugal pump characteristics (in Lithuanian), Mokslas – Lietuvos Ateitis/Science – Future of Lithuania, 9, 5, 559-564,
Bogdevičius M., Prentkovskis O., Junevičius R., Skrickij V., Šukevičius Š., 2016, Behavior and optimization of pneumatic damping system, Iranian Journal of Science and Technology, Transactions of Mechanical Engineering, 40, 2.
Bogdevičius M., Ružinskas A., Vadlūga V., Bogdevičius P., Kačianauskas R., Maknickas A., Gauterin F., 2019, Investigation of tire force transmission on interaction with slush, Problemy Transportu – Transport Problems, 14, 1, 13-21.
Cho J., 2017, Anisotropic large deformation and fatigue damage of rubber-fabric braid layered composite hose, Procedia Engineering, 173, 1169-1176.
Dannemann M., Holeczek K., Leimert J., Friebe S., Modler N., 2019, Adapted measuring sequence for the determination of directional-dependent dynamic material properties using a bending resonance method, Polymer Testing, 79, 1-10.
Dannemann M., Täger O., Modler N., 2017, Combined semi-analytical and numerical vibroacoustic design approach for anisotropic fibre-reinforced composite structures, Journal of Sound and Vibration, 404, 1-14.
Das S., Warren J., West D., Schexnayder S.M., 2016, Global carbon fibber composites supply chain competitiveness analysis, Technical Report, National Renewable Energy Lab (NREL), Golden Co. United States.
Duan H., Ghidaoui M., Lee P., Tung Y., 2010, Unsteady friction and visco-elasticity in pipe fluid transients, Journal of Hydraulic Research, 48, 3, 354-362,
ISO 4079:2017, International Organization for Standardization, (2017), Rubber hoses and hose assemblies – Textile-reinforced hydraulic types for oil-based or water-based fluids – Specification.
Karpenko M., Bogdevičius M., 2020, Investigation into the hydrodynamic processes of fitting connections for determining pressure losses of transport hydraulic drive, Transport, 35, 1, 108-120
Korunović N., Fragassa C., Marinković D., Vitković N., Trajanović M., 2019, Performance evaluation of cord material models applied to structural analysis of tires, Composite Structures, 224, 1-13
Langdon G.S., Karagiozova D., von Klemperer C.J., Nurick G.N., Ozinsky A., Pickering E.G., 2013, The air-blast response of sandwich panels with composite face sheets and polymer foam cores: experiments and predictions, International Journal of Impact Engineering, 54, 64-82
Molnár L., Váradi K., Kovács F., 1990, FEM stress analysis of high-pressure wire reinforced hoses, Periodica Polytechnica Mechanical Engineering, 34, 3-4, 139-152.
Pelevin L., Machyshyn G., Bogdevičius M., Karpenko M., 2016, Assessment of application high pressure hoses using mathematical model calculation load distribution between the metal braid, (in Ukrainian), Mining, Constructional, Road and Melioration Machines: All Ukrainian Collection of Scientific Work, 88, 64-70.
Shaw M., MacKnight W., 2005, Introduction to Polymer Viscoelasticity, 3rd Ed., John Wiley-Blackwell & Sons Interscience, 384 p.
Szymczak T, Kowalewski Z.L., 2020, Strength tests of polymer-glass composite to evaluate its operational suitability for ballistic shield plates, Eksploatacja i Niezawodność – Maintenance and Reliability, 22, 4, 592-600
Treviso A., van Genechten B., Mundo D., Tournour M., 2015, Damping in composite materials: properties and models, Composites, Part B: Engineering, 78, 144-152
Wang W., Yan S., Zhao S., 2013, Experimental verification and finite element modeling of radial truck tire under static loading, Journal of Reinforced Plastics and Composites, 32, 7, 490-498
Wesolowski M., Barkanov E., 2016, Air damping influence on dynamic parameters of laminated composite plates, Measurement, 85, 239-248
Zhao J., Dong J., Liu Z., Xie H., 2019, Characterization method of mechanical properties of rubber materials based on in-situ stereo finite-element-model updating, Polymer Testing, 79, 1-6