With the continuous increase in performance requirements for power systems in the aerospace and low-altitude economy sectors,designing lightweight and highstrength blade structures with excellent dynamic characteristi...With the continuous increase in performance requirements for power systems in the aerospace and low-altitude economy sectors,designing lightweight and highstrength blade structures with excellent dynamic characteristics has become critical.This paper puts forward a dynamic model for a rotating functionally graded graphenereinforced(FG-GPR)sandwich metal porous cantilever pre-twisted plate(PTP),aiming to analyze its natural vibration characteristics.To this end,the mixture principle and the revised Halpin-Tsai model are used to determine the parameters of graphene and porosity distributions in the core layer.With the classical plate theory,the Rayleigh-Ritz method,and the polynomials,the dynamic equations are derived to solve for the free vibration mode shapes and frequencies of the rotating FG-GPR sandwich metal porous cantilever PTP.The comparison of natural frequencies and mode shapes with available literature results confirms the precision of the theoretical formulation and numerical computations.The bending stiffnesses are analyzed.Finally,the effects of different graphene/pore distributions,length-to-thickness/width ratios,layer thickness ratios,twist angles,and rotational speeds on the natural frequencies of the system are systematically investigated.展开更多
提出一种用于低频宽带振动抑制的新型声子晶体刚架(Phononic Crystal Rigid Frame,PCRF)结构。该结构的单胞由X型子结构和预变形子结构组成。利用有限元法(Finite Element Method,FEM)计算其色散关系,证明PCRF结构可以打开能带折叠点,...提出一种用于低频宽带振动抑制的新型声子晶体刚架(Phononic Crystal Rigid Frame,PCRF)结构。该结构的单胞由X型子结构和预变形子结构组成。利用有限元法(Finite Element Method,FEM)计算其色散关系,证明PCRF结构可以打开能带折叠点,并探讨其能带折叠机理。基于谱元法(Spectral Element Method,SEM)建立理论模型,其振动传递率的计算结果与有限元分析结果高度吻合。与传统X型周期刚架结构相比,PCRF结构通过打开能带折叠点,可在特定频率范围内产生两个新的振动带隙,从而拓宽减振频率范围。此外,还讨论了几何参数α对PCRF结构带隙的影响。展开更多
基金Project supported by the National Natural Science Foundation of China(Nos.12272056 and 11832002)。
文摘With the continuous increase in performance requirements for power systems in the aerospace and low-altitude economy sectors,designing lightweight and highstrength blade structures with excellent dynamic characteristics has become critical.This paper puts forward a dynamic model for a rotating functionally graded graphenereinforced(FG-GPR)sandwich metal porous cantilever pre-twisted plate(PTP),aiming to analyze its natural vibration characteristics.To this end,the mixture principle and the revised Halpin-Tsai model are used to determine the parameters of graphene and porosity distributions in the core layer.With the classical plate theory,the Rayleigh-Ritz method,and the polynomials,the dynamic equations are derived to solve for the free vibration mode shapes and frequencies of the rotating FG-GPR sandwich metal porous cantilever PTP.The comparison of natural frequencies and mode shapes with available literature results confirms the precision of the theoretical formulation and numerical computations.The bending stiffnesses are analyzed.Finally,the effects of different graphene/pore distributions,length-to-thickness/width ratios,layer thickness ratios,twist angles,and rotational speeds on the natural frequencies of the system are systematically investigated.
文摘提出一种用于低频宽带振动抑制的新型声子晶体刚架(Phononic Crystal Rigid Frame,PCRF)结构。该结构的单胞由X型子结构和预变形子结构组成。利用有限元法(Finite Element Method,FEM)计算其色散关系,证明PCRF结构可以打开能带折叠点,并探讨其能带折叠机理。基于谱元法(Spectral Element Method,SEM)建立理论模型,其振动传递率的计算结果与有限元分析结果高度吻合。与传统X型周期刚架结构相比,PCRF结构通过打开能带折叠点,可在特定频率范围内产生两个新的振动带隙,从而拓宽减振频率范围。此外,还讨论了几何参数α对PCRF结构带隙的影响。
