黄小林, 袁旭升, 孙文玉, 等. 多场耦合下碳纳米管增强复合材料层合圆柱壳的自由和强迫振动[J]. 河南理工大学学报(自然科学版), doi: 10.16186/j.cnki.1673-97872024090030.

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.

多场耦合下碳纳米管增强复合材料层合圆柱壳的自由和强迫振动(网络首发)

黄小林，袁旭升，孙文玉，莫文杰，张宇哲

(桂林电子科技大学 建筑与交通工程学院，广西 桂林，541004)

摘要：目的 为研究热/电/磁场耦合作用下层合壳的振动特性，以外贴压电层的碳纳米管增强功能梯度复合材料（functionally graded carbon nanotube reinforced composites，FG-CNTRCs)圆柱壳为研究对象。方法 用广义混合律计算了FG-CNTRCs的材料物性参数，然后基于哈密尔顿原理和麦克斯韦方程建立了热/电/磁场作用下FG-CNTRC层合圆柱壳振动的振动方程并用伽辽金法进行求解，最后以参数分析了均匀温升、电压和磁势等因素对自振频率和动挠度的影响。结果 结果表明，自振频率随温升ΔT的增大而减小，当ΔT从0增加到400 K时，三种碳纳米管分布的自振频率分别下降约9.38%，10.95%和9.88%；自振频率随着电压的增大而减小，随磁势的增大而增大。当电压V_E从0增加到200 V时，三种碳纳米管分布的自振分别下降约0.87%、1.00%和0.92%，而当磁势V_H从0增加到200 A时，自振频率分别上升约0.86%、0.99%和0.91%；动挠度幅值随温升ΔT的增大而增大，当温升从0 K增大到100 K和200 K时，幅值分别增大18.8%和37.5%；动挠度幅值随电压V_E和磁势V_H的升高而增大，当V_E从0增大到100 V和200 V时，最大挠度分别增大3.8%和6.6%，当V_H从0增大到100 A和200 A时，最大挠度分别增大2.2%和7.7%。结论 可见，电压和磁压对FG-CNTRC层合壳振动的影响不可忽略。

关键词：多场耦合；层合圆柱壳；碳纳米管增强复合材料；自由振动；动力响应

doi: 10.16186/j.cnki.1673-97872024090030.

基金项目:国家自然科学基金项目(12162010)；广西自然科学基金项目(2021GXNSFAA220087)；桂林电子科技大学研究生教育创新计划项目(2023YCXS191)

收稿日期：2024-09-13

修回日期：2024-10-30

网络首发日期：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