Nonlinear Dynamic Response and Frequency Characteristics of Hybrid Dual-FG Nanocomposite Curved Beams Subjected to Rapid Heating

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This paper investigates dynamic behavior and frequency characteristics of a nanocomposite curved beam subjected to two different cases of thermal shock loads. The structure is made of hybrid dual-FG (functionally graded) composite materials reinforced by GNPs (graphene nanoplatelets). The nanocomposite curved beam with different cases of end conditions is also supported by a two-parameter elastic substratum. The Halpin–Tsai procedure and the Voigt micromechanical rule are used to calculate the equivalent material characteristics of the nanocomposite media as a combination of the polymeric matrix and GNPs. The kinematic equations of the suddenly heated curved beam are established based on the Timoshenko theory by considering the von–Karman assumptions. The nonlinear equations of motion are also obtained for the nanocomposite curved beam supported over an elastic foundation using the energy principle of Hamilton. The system of equations of motion as well as the heat conduction problem is solved numerically utilizing the GDQ approach and also the Crank–Nicolson technique for three different cases of boundary conditions and also two different cases of thermal shock loads. A frequency analysis is also performed. After validation, several graphical examples are provided to estimate the thermally induced vibration response of the dual-FG nanocomposite curved beam. This study has theoretical value for the optimization of mechanical lightweight structures and intelligent thermal management.