A Higher-Order Thermomechanical Vibration Analysis of Temperature-Dependent FGM Beams with Porosities
In the present paper, thermomechanical vibration characteristics of functionally graded (FG) Reddy beams made of porous material subjected to various thermal loadings are investigated by utilizing a Navier solution method for the first time. Four types of thermal loadings, namely, uniform, linear, n...
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| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Engineering |
| Online Access: | http://dx.doi.org/10.1155/2016/9561504 |
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| author | Farzad Ebrahimi Ali Jafari |
| author_facet | Farzad Ebrahimi Ali Jafari |
| author_sort | Farzad Ebrahimi |
| collection | DOAJ |
| description | In the present paper, thermomechanical vibration characteristics of functionally graded (FG) Reddy beams made of porous material subjected to various thermal loadings are investigated by utilizing a Navier solution method for the first time. Four types of thermal loadings, namely, uniform, linear, nonlinear, and sinusoidal temperature rises, through the thickness direction are considered. Thermomechanical material properties of FG beam are assumed to be temperature-dependent and supposed to vary through thickness direction of the constituents according to power-law distribution (P-FGM) which is modified to approximate the porous material properties with even and uneven distributions of porosities phases. The governing differential equations of motion are derived based on higher order shear deformation beam theory. Hamilton’s principle is applied to obtain the governing differential equations of motion which are solved by employing an analytical technique called the Navier type solution method. Influences of several important parameters such as power-law exponents, porosity distributions, porosity volume fractions, thermal effects, and slenderness ratios on natural frequencies of the temperature-dependent FG beams with porosities are investigated and discussed in detail. It is concluded that these effects play significant role in the thermodynamic behavior of porous FG beams. |
| format | Article |
| id | doaj-art-b33aa18c190d4883873e08f2536a9544 |
| institution | Kabale University |
| issn | 2314-4904 2314-4912 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Engineering |
| spelling | doaj-art-b33aa18c190d4883873e08f2536a95442025-02-03T05:58:58ZengWileyJournal of Engineering2314-49042314-49122016-01-01201610.1155/2016/95615049561504A Higher-Order Thermomechanical Vibration Analysis of Temperature-Dependent FGM Beams with PorositiesFarzad Ebrahimi0Ali Jafari1Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin 34148-96818, IranDepartment of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin 34148-96818, IranIn the present paper, thermomechanical vibration characteristics of functionally graded (FG) Reddy beams made of porous material subjected to various thermal loadings are investigated by utilizing a Navier solution method for the first time. Four types of thermal loadings, namely, uniform, linear, nonlinear, and sinusoidal temperature rises, through the thickness direction are considered. Thermomechanical material properties of FG beam are assumed to be temperature-dependent and supposed to vary through thickness direction of the constituents according to power-law distribution (P-FGM) which is modified to approximate the porous material properties with even and uneven distributions of porosities phases. The governing differential equations of motion are derived based on higher order shear deformation beam theory. Hamilton’s principle is applied to obtain the governing differential equations of motion which are solved by employing an analytical technique called the Navier type solution method. Influences of several important parameters such as power-law exponents, porosity distributions, porosity volume fractions, thermal effects, and slenderness ratios on natural frequencies of the temperature-dependent FG beams with porosities are investigated and discussed in detail. It is concluded that these effects play significant role in the thermodynamic behavior of porous FG beams.http://dx.doi.org/10.1155/2016/9561504 |
| spellingShingle | Farzad Ebrahimi Ali Jafari A Higher-Order Thermomechanical Vibration Analysis of Temperature-Dependent FGM Beams with Porosities Journal of Engineering |
| title | A Higher-Order Thermomechanical Vibration Analysis of Temperature-Dependent FGM Beams with Porosities |
| title_full | A Higher-Order Thermomechanical Vibration Analysis of Temperature-Dependent FGM Beams with Porosities |
| title_fullStr | A Higher-Order Thermomechanical Vibration Analysis of Temperature-Dependent FGM Beams with Porosities |
| title_full_unstemmed | A Higher-Order Thermomechanical Vibration Analysis of Temperature-Dependent FGM Beams with Porosities |
| title_short | A Higher-Order Thermomechanical Vibration Analysis of Temperature-Dependent FGM Beams with Porosities |
| title_sort | higher order thermomechanical vibration analysis of temperature dependent fgm beams with porosities |
| url | http://dx.doi.org/10.1155/2016/9561504 |
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