Different parameter analysis on nonlinear vibrations for thermo-hyperelastic cylindrical shells with flowing-fluid

Abstract

The hyperelastic shell structures composed of rubber materials have the ability to work in a wide range of temperatures, resulting in abundant vibration behaviors. Therefore, considering both geometric and material nonlinearities, some different parameter analysis on the nonlinear vibration responses of the thermo-hyperelastic cylindrical shells containing flowing-fluid (THCSs-FF) are investigated for the first time. The shell theory, thermo-hyperelastic model, velocity potential and energy variational method are used to establish the dynamic model of the THCSs-FF. To obtain the frequency and vibration amplitude relations, the harmonic balance method (HBM) is applied to solve the obtained motion equations for the THCSs-FF. Some parameter analysis on the natural frequencies, vibration amplitudes and chaotic vibrations are conducted. The simulation results indicate that the increasing temperature difference and decreasing fluid velocity enhance the natural frequencies of the THCSs-FF. The THCSs-FF perform the hardening behaviors under different parameter values. However, the changes of temperature show slight effects on the vibration amplitudes of the THCS-FF. The increase of structural parameters causes the hardening behaviors of the first-and second-order to present different trends. A comparative investigation between the thermo-hyperelastic shells with the fluid and flowing-fluid is conducted, and the result further indicates that the flowing-fluid accelerates the process of chaotic responses for the thermo-hyperelastic cylindrical shells.