An isogeometric formulation with a three-variable high order shear deformation theory for free vibration analysis of FG porous plates reinforced by graphene platelets
| العنوان: | An isogeometric formulation with a three-variable high order shear deformation theory for free vibration analysis of FG porous plates reinforced by graphene platelets |
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| المؤلفون: | Hong-Yen Nguyen, Lieu B. Nguyen, Thi Bui Viet |
| المصدر: | Journal of Science and Technology in Civil Engineering (STCE) - NUCE. 15:51-66 |
| بيانات النشر: | Hanoi University of Civil Engineering (HUCE), 2021. |
| سنة النشر: | 2021 |
| مصطلحات موضوعية: | Vibration, Materials science, Graphene, law, Shear deformation theory, High order, Composite material, Porosity, law.invention, Variable (mathematics) |
| الوصف: | We present a generalized three-variable high order shear deformation theory (THSDT) using isogeometric analysis (IGA) to analyze free vibration of functionally graded porous (FGP) plates reinforced by graphene platelets (GPLs) in this work. It is named as FGP-GPLs for a short. The proposed theory only has got three degrees of freedom (DOFs) per node as the same way of numerically solutions in three-dimensional (3D) solids. THSDT fulfills the classical plate theory (CPT), the first-order shear deformation theory (FSDT) and even the higher-order shear deformation theory (HSDT). IGA is chosen to analyze because of its noteworthy advantages in numerical computational sides of plate problems. In addition, the displacement field of THSDT needs the high continuity in approximated formulation with high-order derivatives for a weak form of fourth order equation. According to IGA formulation based on the generalized THSDT, the shear locking phenomenon is free. The variables of THSDT are less than HSDTs which contain five DOFs per node. The influences of weight fractions, the coefficient porosity, dispersion patterns of GPLs and distribution types of porosity on structure’s natural frequencies are studied through some numerical examples. In order to prove the reliability and accuracy of present method, the numerical results are compared to available published works. Keywords: FG-porous plate; graphene platelet reinforcements; three-variable high order shear deformation theory (THSDT); isogeometric analysis; free vibration. |
| تدمد: | 2734-9489 1859-2996 |
| DOI: | 10.31814/stce.nuce2021-15(2)-05 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::f36cbb8c60671012e93325756eb71b3a https://doi.org/10.31814/stce.nuce2021-15(2)-05 |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi...........f36cbb8c60671012e93325756eb71b3a |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 27349489 18592996 |
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| DOI: | 10.31814/stce.nuce2021-15(2)-05 |