نویسندگان | مصطفی تیموری,مصطفی طالبی توتی,علی قربانپور |
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نشریه | Mechanics of Advanced and Smart Materials Journal |
شماره صفحات | 1 |
شماره مجلد | 4 |
ضریب تاثیر (IF) | ثبت نشده |
نوع مقاله | Full Paper |
تاریخ انتشار | 2024-04-27 |
رتبه نشریه | علمی - پژوهشی |
نوع نشریه | الکترونیکی |
کشور محل چاپ | ایران |
نمایه نشریه | SCOPUS ,ISC |
چکیده مقاله
In this research, free vibration of tapered sandwich beam with variable thickness is investigated. The core is made of porous aluminum foam, which is included by two composite skins reinforced with carbon nanotubes. In order to derive the equations of motion, first the constitutive equations of the core and skins are expressed. Then the kinetic and strain energies of the beam are calculated. Formerly, with the aid of applying Hamilton's principle, the equations of motion of the beam, which are of the type of partial differential equations, and also the equations of the boundary conditions are derived. Next, using the differential quadrature method, the equations of motion and boundary conditions are discretized in the form of algebraic equations and rewritten in the form of the standard eigenvalue equation. By solving the eigenvalue problem, the natural frequency is evaluated. In order to validation of modeling and solution method, the present results are compared with those available in the literature. Finally, the effect of porosity distribution, porosity coefficient, core thickness and beam length on the natural frequency is investigated.
tags: Vibration, Porous foam, Timoshenko theory, Differential quadrature method, Sandwich beam.