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An isogeometric approach for vibration characteristics analysis of functionally graded triply periodic minimal sandwich curved-doubly shell integrated with magneto-electro surface layers subjected to lowvelocity impact load
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作者 Le Hoai Pham Hoang Tu +1 位作者 Van Ke Tran Nguyen Thi Hue 《Defence Technology(防务技术)》 2025年第8期101-125,共25页
In this paper,the isogeometric analysis(IGA)method is employed to analyze the oscillation characteristics of functionally graded triply periodic minimal surface(FG-TPMS)curved-doubly shells integrated with magneto-ele... In this paper,the isogeometric analysis(IGA)method is employed to analyze the oscillation characteristics of functionally graded triply periodic minimal surface(FG-TPMS)curved-doubly shells integrated with magneto-electric surface layers(referred to as"FG-TPMS-MEE curved-doubly shells")subjected to low-velocity impact loads.This study presents low-velocity impact load model based on a single springmass(S-M)approach.The FG-TPMS-MEE curved-doubly shells are covered with two magneto-electric surface layers,while the core layer consists of three types:I-graph and Wrapped Package-graph(IWP),Gyroid(G),and Primitive(P),with various graded functions.These types are notable for their exceptional stiffness-to-weight ratios,enabling a wide range of potential applications.The Maxwell equations and electromagnetic boundary conditions are applied to compute the change in electric potentials and magnetic potentials.The equilibrium equations of the shell are derived from a refined higher-order shear deformation theory(HSDT),and the transient responses of the FG-TPMS-MEE curveddoubly shells are subsequently determined using Newmark's direct integration method.These results have applications in structural vibration control and the analysis of structures subjected to impact or explosive loads.Furthermore,this study provides a theoretical prediction of the low-velocity impact load and magneto-electric-elastic effects on the free vibration and transient response of FG-TPMS-MEE curved-doubly shells. 展开更多
关键词 IGA approach Free vibration and transient response Magneto-electro-elastic curved-doubly shell Low-velocity impact load Functionally graded triply periodic minimal
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Na_(2)高振动态与CO_(2)间碰撞转移概率分布的实验测量
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作者 王淑英 尤德昌 +5 位作者 马文佳 杨若凡 张仰志 於子雷 赵小芳 沈异凡 《光谱学与光谱分析》 SCIE EI CAS CSCD 北大核心 2023年第6期1760-1764,共5页
受激发射泵浦激发Na_(2)至Na_(2)(ν″=30,J″=11)和Na_(2)(ν″=45,J″=11)。Na_(2)(ν″)与CO_(2)碰撞,研究了CO_(2)(00~00)的全态可分辨转动分布及不同的Na_(2)振动能对碰撞猝灭动力学的影响。光学吸收法测量Na_(2)(ν″)与CO_(2)碰... 受激发射泵浦激发Na_(2)至Na_(2)(ν″=30,J″=11)和Na_(2)(ν″=45,J″=11)。Na_(2)(ν″)与CO_(2)碰撞,研究了CO_(2)(00~00)的全态可分辨转动分布及不同的Na_(2)振动能对碰撞猝灭动力学的影响。光学吸收法测量Na_(2)(ν″)与CO_(2)碰撞后的弛豫过程,在一次碰撞的条件下,确定了ν″,ν″-1及ν″-2各振动能级上的转动态分布,而高于ν″的振动能级没有观察到,从而得到碰撞过程中Na_(2)转动能的改变。在碰撞发生1μs后,测量CO_(2)低J态的瞬时线轮廓,利用双Guass函数拟合,得到两个Doppler增宽轮廓,一个是存在于J态粒子的Doppler半宽,一个是被碰撞出J态粒子的Doppler半宽。从存在于J态的Doppler半宽,得到在Na_(2)(ν″)/CO_(2)碰撞中质心平移速度,从而确定平均平移能的增加〈ΔE_(rel)〉。Na_(2)(ν″)振动能的增加与CO_(2)平动能的增加有很大关系,Na_(2)振动能增加35%,而平动能增加56%。从CO_(2)的其他转动态碰到J态的出现速率系数k^(J)_(app)由测量碰撞前和碰撞1μs后的泛频激光感应荧光强度得到总的出现速度系数k_(app)=Σ_(J)k_(app)^(J)=(6.6±1.5)×10^(-10)cm^(3)·molecule^(-1)·s^(-1)[对Na_(2)(ν″=30)]和(5.9±1.3)×10^(-10) cm^(3)·molecule^(-1)·s^(-1)[对Na_(2)(ν″=45)]。因此Na_(2)(ν″)/CO_(2)的碰撞频率对Na_(2)的振动能不是很敏感的。取k_(app)作为参考速率系数,得到了全部能量转移概率分布P(ΔE),这里的ΔE包括了CO_(2)转动能和平动能的变化以及Na_(2)转动能的变化,对于Na_(2)分子振动能的较小增加,会引起P(ΔE)曲线的迅速增宽,在ΔE>500 cm^(-1)以后,Na_(2)(ν″=30)/CO_(2)的P(ΔE)曲线移到了Na_(2)(ν″=45)/CO_(2)的P(ΔE)曲线的下面。P(ΔE)对ΔE在0~3 000 cm^(-1)之间的数值积分给出〈ΔE〉_(trans)=590 cm^(-1)[对Na_(2)(ν″=30)],而对Na_(2)(ν″=45)则给出〈ΔE〉_(trans)=880 cm^(-1)。 展开更多
关键词 碰撞能量转移 激光诱导荧光 瞬时线轮廓 速率系数 能量增加分布函数 Na_(2)高振动激发态 CO_(2)
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