Please use this identifier to cite or link to this item: http://hdl.handle.net/10603/520611
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dc.date.accessioned2023-10-23T14:12:30Z-
dc.date.available2023-10-23T14:12:30Z-
dc.identifier.urihttp://hdl.handle.net/10603/520611-
dc.description.abstractnewline In first problem, the effect of non-homogeneity on vibration of visco-elastic triangular plate with bi-linear thickness variation has been studied. Thermal induced vibration of these plates has been assumed as bi-linear temperature circulation. For non-homogeneity of the plate material density is taken to be constant. The governing differential equation has been solved with the help of variables separation method. The approximated frequency equation is derived by using Rayleigh-Ritz method by two term deflection function. Frequency values for the first two modes of vibration have been calculated for a simply supported parallelogram plate for various values of thermal gradient, skew angle and taper constants. newlineIn second problem, free vibration of visco-elastic triangular plate under the effect of bi- parabolically thickness variation and linear temperature distribution in both directions has been studied. Density (due to non-homogeneity) of the plate is taken to be constant. The governing differential equation has been solved with the help of variables separation method. The approximated frequency equation is derived by using Rayleigh-Ritz method by two term deflection function. Frequency values for the first two modes of vibration have been calculated for a simply supported triangular plate for various values of thermal gradient, skew angle and taper constants with the help of MAPLE (latest computational software). newlineIn third problem, free vibration of visco-elastic triangular plate under the effect of bi- parabolic thickness variation and parabolic temperature distribution in both directions has been studied. Density (due to non-homogeneity) of the plate is taken to be constant. The governing differential equation has been solved with the help of variables separation method. The approximated frequency equation is derived by using Rayleigh-Ritz method by two term deflection function. Frequency values for the first two modes of vibration have been calculated for a simply supported triangular plate for various values of thermal gradient, skew angle and taper constants. newlineIn fourth problem, free vibration of visco-elastic triangular plate under the effect of bi- newlineii newlinelinear thickness and parabolic temperature distribution in both directions has been studied. Density (due to non-homogeneity) of the plate is taken to be constant. The governing differential equation has been solved with the help of variables separation method. The approximated frequency equation is derived by using Rayleigh-Ritz method by two term deflection function. Frequency values for the first two modes of vibration have been calculated for a simply supported triangular plate for various values of thermal gradient, skew angle and taper constants. newlineIn fifth problem, free vibration of a simply supported visco-elastic triangular plate under the effect of thickness linearly in one direction and parabolically in other direction and linear temperature variation along both directions has been studied. For non-homogeneity of material, density of the plate is taken to be constant. By use of separation of variables method, the governing differential equation has been solved for visco-elastic triangular plate. The approximated frequency equation is derived by using Rayleigh-Ritz method by two term deflection function. Latest computational software MAPLE has been used to calculate Frequency values for the first two modes of vibration at various values of plate s parameters (thermal gradient, taper constants and skew angle). Results are shown in form of tables and graphs.
dc.format.extentAll pages
dc.languageEnglish
dc.relationNA
dc.rightsuniversity
dc.titleFree Vibration Analysis of Isotropic SSS Non Homogenous Triangular Plate with Varying Bi Dimensional Thickness and Thermal Effect
dc.title.alternativeFree Vibration Analysis of Isotropic SSS Non Homogenous Triangular Plate with Varying Bi Dimensional Thickness and Thermal Effect
dc.creator.researcherSilky Bensal
dc.subject.keywordMathematics
dc.subject.keywordPhysical Sciences
dc.description.note
dc.contributor.guideAshish Kumar Sharma
dc.publisher.placeSolan
dc.publisher.universityIEC University
dc.publisher.institutionDepartment of Mathematics
dc.date.registered2016
dc.date.completed2022
dc.date.awarded2023
dc.format.dimensionsNA
dc.format.accompanyingmaterialDVD
dc.source.universityUniversity
dc.type.degreePh.D.
Appears in Departments:Department of Mathematics

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04_table of contents.pdf79.05 kBAdobe PDFView/Open
07_chapter 1.pdf267.5 kBAdobe PDFView/Open
09_chapter 2.pdf2.1 MBAdobe PDFView/Open
11_chapter 3.pdf2.08 MBAdobe PDFView/Open
13_chapter 4.pdf2.09 MBAdobe PDFView/Open
15_chapter 5.pdf2.07 MBAdobe PDFView/Open
19_chapter 7.pdf90.03 kBAdobe PDFView/Open
80_recommendation.pdf278.43 kBAdobe PDFView/Open
absrtract.pdf241.66 kBAdobe PDFView/Open


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