应用数学和力学2023，Vol.44Issue(11)：1325-1340,16.DOI:10.21656/1000-0887.440144
功能梯度压电空心圆柱中分数阶热弹导波的频散和衰减特性
Dispersion and Attenuation Characteristics of Fractional-Order Thermoelastic Guided Waves in Functionally Graded Piezoelectric Hollow Cylinders
摘要
Abstract
Based on the fractional-order thermo-electric-elastic theory and the Legendre polynomial series method,a mathematical model for guided wave propagation in functionally graded hollow cylinders was estab-lished.The effects of the fractional order,the piezoelectric effect,and the radius-thickness ratio on the wave propagation,especially on its attenuation,were discussed.The numerical analysis results indicate that,the pie-zoelectric effect on attenuation mainly concentrates near the cutoff frequency and the mutation frequency,and causes the mutation frequency to shift forward.The fractional order has a great impact on the phase velocity and attenuation of the thermal wave mode,and has an opposite impact on the phase velocity around the cross-over frequency point where the crossover mode occurs with the thermal wave velocity.But the thermal wave at-tenuation gradually decreases with the fractional order.Meanwhile,the 1st longitudinal mode attenuation is suppressed by the piezoelectric effect.However,the attenuation of other modes significantly increases,and the impact of the electrical open circuit is greater than that of the electrical short circuit.关键词
导波/分数阶热电弹/功能梯度空心圆柱/频散/衰减Key words
guided wave/fractional-order thermo-electric-elastic/functionally graded hollow cylinder/disper-sion/attenuation分类
数理科学引用本文复制引用
禹建功,王开,任小强,王现辉,张博..功能梯度压电空心圆柱中分数阶热弹导波的频散和衰减特性[J].应用数学和力学,2023,44(11):1325-1340,16.基金项目
国家自然科学基金项目(12102131) （12102131）
河南省高校科技创新团队基金项目(23IRTSTHN016) （23IRTSTHN016）
中国博士后科学基金(2021M701102) （2021M701102）
