Free vibration analysis of FGM shell with complex planform in thermal environments

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dc.contributor.authorAwrejcewicz, Janen
dc.contributor.authorKurpa, Lidiyaen
dc.contributor.authorShmatko, Tetyanaen
dc.date.accessioned2022-11-04T16:26:08Z
dc.date.available2022-11-04T16:26:08Z
dc.date.issued2019
dc.description.abstractSummary. In the present study free vibrations of FGM shallow shells of an arbitrary planform in thermal environment are investigated via R-functions method (RFM). First-order shear deformation theory of shallow shells is employed. Material properties are assumed to be temperature-dependent and expressed as nonlinear functions of temperature. The generic material properties are not only functions of temperature, but also functions of thickness direction. It is supposed that material properties vary through thickness according to a power-law distribution of the constituent’s volume fraction. The developed method is based on the combined applications of the R-functions theory, variational Ritz’s method. A comparison of the obtained results with available ones is carried out for rectangular plates and shallow shells. Vibration of shell panels with complex planform and different boundary conditions including mixed ones are studied. Solution structures and related admissible functions for shells with complex planform have been constructed by the R-functions theory. The effect of the temperature rise, geometry of the shell, material properties and constituent volume fraction index is examined.en
dc.identifier.citationAwrejcewicz J. Free vibration analysis of FGM shell with complex planform in thermal environments / Jan Awrejcewicz, Lidiya Kurpa, Tetyana Shmatko // Dynamical Systems Theory and Applications : abstracts of the 15th International Conference DSTA 2019, December 2-5, 2019, Poland, Lodz / editors J. Awrejcewicz [et al.], – Łódź : Wydawnictwo Politechniki Łódzkiej, 2019. – P. 207.en
dc.identifier.orcidhttps://orcid.org/0000-0003-0387-921X
dc.identifier.orcidhttps://orcid.org/0000-0001-8380-1521
dc.identifier.orcidhttps://orcid.org/0000-0003-3386-8343
dc.identifier.urihttps://repository.kpi.kharkov.ua/handle/KhPI-Press/58964
dc.language.isoen
dc.publisherWydawnictwo Politechniki Łódzkiejpl
dc.subjectR–functionstheoryen
dc.subjectFGM shallow shellsen
dc.subjectfree vibrationsen
dc.subjectthermal environmenten
dc.subjectтеорія R–функцій,uk
dc.subjectFGM мілкі оболонкиuk
dc.subjectвільні коливанняuk
dc.subjectтеплове середовищеuk
dc.titleFree vibration analysis of FGM shell with complex planform in thermal environmentsen
dc.typeOtheren

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