HUANG X L, YUAN X S, SUN W Y, et al．Free and forced vibrations of hybrid composite shells reinfoeced with carbon nanotubes subjected to multi-field coupled loadings[J]. Journal of Henan Polytechnic University( Natural Science), doi: 10.16186/j.cnki.1673-9787.2024090030.

doi: 10.16186/j.cnki.1673-9787.2024090030.

Received：2024-09-13

Revised：2024-10-30

Online：2026-07-16

Free and forced vibrations of hybrid composite shells reinfoeced with carbon nanotubes subjected to multi-field coupled loadings(Online)

Huang Xiaolin, Yuan Xusheng, Sun Wenyu, Mo Wenjie, Zhang Yuzhe

(School of Architecture and Transportation Engineering, Guilin University of Electronic Technology, Guilin 541004, China)

Abstract：Objectives For the sake of the vibrational characteristics of hybrid composite shells subjected to thermal-electri-magnetic loads, functionally graded carbon nanotube reinforced composite (FG-CNTRC) cylindrical shells with outer piezoelectric layers are studied. Methods The material properties of the FG-CNTRCs are calculated using the generalized rule of mixture. Based on the Hamilton principle and Maxwell equations, the vibrational equations of the shells in coupled thermo-electric- magnetic field are derived, and solved by using the Galerkin method. In parametric studies, the effects of uniform temperature rise, voltage, and magnetic pressure on the natural frequencies and transient deflections are discussed in detail. Results The results show that the natural vibration frequencies decrease with the increasing temperature. When increasing temperature from 0 to 400 K, the natural vibration frequencies of three kinds of CNT distribution decrease by about 9.38%, 10.95% and 9.88%. The frequency of natural vibration decreases with the increase of voltage and increases with the increase of magnetic potential. When the voltage increases from 0 to 200 V,the fundamental frequency for three kinds of CNT distribution decreases by about 0.87%, 1.00% and 0.92%. As the magnetic pressure increases from 0 to 200 A, the frequency rises by about 0.86%, 0.99% and 0.91%, respectively. The amplitude of dynamic deflections can be raised by increasing values of the temperature. When increasing temperature from 0 K to 100 K and 200 K, the amplitude increases by 18.8% and 37.5%, respectively. The amplitude of dynamic deflection increases with the increase of voltage and magnetic potential . When voltage increases from 0 to 100 V and 200 V, the maximum deflection increases by 3.8% and 6.6%, respectively. As the magnetic pressure increases from 0 to 100 A and 200 A, the maximum deflection increases by 2.2% and 7.7%. Conclusions Hence, it is concluded that the effects of the voltage and magnetic pressure on the vibrations of FG-CNTRC hybrid cylindrical shells can not be neglected.

Key words：Coupled multi-fields; hybrid cylindrical shell; carbon nanotube reinforced composites; free vibration; transient response