Subjects: Mechanics >> Other Disciplines of Mechanics submitted time 2024-04-19 Cooperative journals: 《应用力学学报》
Abstract：
This article studies the free vibration of a functionally graded piezoelectric porous cylindrical microshell resting on elastic foundation under thermo-electro-mechanical loads.First,the dynamic model of the functionally graded piezoelectric porous cylindrical microshell resting on elastic foundation was established.Then the analytical solution of modal frequencies of the functionally graded piezoelectric porous cylindrical microshell resting on elastic foundation was derived using the third-order shear deformation shell theory and the modified couple stress theory.Last the factors affecting model frequency were discussed by numerical case studies.The results show that the Pasternak foundation is preferred to improve the modal frequencies of the shell to the Winkler foundation.The modal frequencies of the cylindrical microshell could be adjusted via changing the stiffness coefficients of the elastic foundation,axial load,applied voltage,porosity distribution,material volume fraction indexes,and structure dimensions.The larger the porosity volume fraction,the greater the influence of temperature and axial load on the modal frequency,and the smaller the influence of applied voltage on the modal frequency.The change trends of modal frequency with increasing porosity volume fraction are obviously different with different material volume fraction indexes.The elastic foundation can weaken the influence of temperature,axial load and applied voltage on the modal frequency,and its influence on the modal frequency of thin or short cylindrical shell is more significant.
Subjects: Mechanics >> Other Disciplines of Mechanics submitted time 2024-02-07 Cooperative journals: 《应用力学学报》
Abstract：
Based on a functionally graded thin-walled cylindrical microshell model with elastic support,the modal frequency equation was derived by using the modified couple stress theory and the first-order shear deformation theory.The impacts of the elastic support,size effect,temperature gradient,material component index,pore and geometry dimensions on the modal frequencies of the cylindrical microshell were studied.Results indicate that the impacts of elastic stiffness coefficient on the modal frequencies can be neglected in the range of 0 to 105N/m3,but the shear stiffness coefficient has a great influence on the modal frequencies in the range of 0 to 5×104N/m.Moreover,increasing the shear stiffness coefficient is beneficial to increasing the modal frequencies.The modal frequencies obtained by modified couple stress theory are larger than those obtained by classical continuum theory.With or without elastic support and size effect,the modal frequencies decrease with the increase of the temperature gradient and the length of the cylindrical microshell,and increase with the increase of the ceramic volume fraction index.The change laws of the modal frequencies are different with the variation of the pore volume fraction and thickness of the cylindrical microshell.The temperature gradient has a great influence on the modal frequencies of the cylindrical microshell considering size effect or elastic foundation.The influence of pore on the modal frequencies with elastic foundation is especially obvious.
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