Dynamic identification of beam axial loads using one flexural mode shape

In the last decades, various methods have been proposed for the experimental evaluation of tensile forces acting in tie-beams of arches and vaults. Moreover, static and dynamic approaches have been formulated to evaluate critical compressive axial forces and flexural stiffness of end constraints. Adopting Euler–Bernoulli beam model, this paper shows that, if bending stiffness and mass per unit length of a beam with constant cross-section are known, the axial force and the flexural stiffness of the end constraints can be deduced by one vibration frequency and three components of the corresponding mode shape. Finally, data conditions are given to assess a physically admissible identification of the unknown parameters.     

Nonlinear vibration of a double-walled carbon nanotube embedded in a polymer matrix

In the current work, the nonlinear vibration of an embedded double-walled carbon nanotube (DWCNT) aroused by nonlinear van der Waals (vdW) interaction forces from both surrounding medium and adjacent tubes is studied. Using both Euler–Bernoulli and Timoshenko beam models, the relation between deflection amplitudes and resonant frequencies of the DWCNT is derived through harmonic balance method. It is found that the nonlinear vdW forces from the surrounding medium result in noncoaxial vibration of the embedded DWCNT. The noncoaxial vibration includes both uni-directional and bi-directional vibration modes. It is found that the surrounding matrix has more prominent effect on the uni-directional vibration in comparison to the bi-directional vibration. The axial load effect on the vibrational behavior of the embedded DWCNT is also discussed. Due to the influence of the surrounding polymer, the prediction on the resonant frequencies of embedded CNTs is quite different from that for free-standing CNTs. A softening behavior for the deflection amplitude-resonant frequency relation is observed for the first time in the bi-directional vibration of the embedded DWCNT, which can only be obtained using the Timoshenko beam theory.     

乙醇水混合物在碳纳米管中的吸附与结构性质

用分子动力学模拟研究乙醇水混合物在碳纳米管中的结构与吸附．在(6,6)到(10,10)碳纳米管内,几乎总是充满乙醇分子,很少有水分子．在更粗的碳纳米管中有一些水分子,管内的乙醇质量分数远远高于体相值．对管内外的分子进行了径向、轴向、角向的密度和取向的分布以及氢键数目的分析．管外第一溶剂化层中分子的角向密度分布指出乙醇分子的甲基和碳壁有最强的作用,被钉扎在碳纳米管的六角形中心位置．基于对这些现象微观机制的理解,推测碳纳米管在甲醇和乙醇中更倾向吸附乙醇,通过对乙醇甲醇混合物与碳纳米管的分子动力学模拟验证了这个预测．     

低速轴流压气机中工况变化对动叶顶部泄漏流波动频率的影响

本文利用数值方法研究了某两级低速轴流压气机第二级动叶在存在前后静叶扰动时,工况变化对其顶部非定常泄漏流波动频率的影响。结果显示其波动主要集中在泄漏涡轨迹附近,并且随着流量减小而增强。在大流量工况,其波动频率为转子通道频率。在中等流量工况,其波动频率为0.59倍通道频率。在小流量工况,其波动频率为0.51倍通道频率。并且其波动频率与前后静叶扰动强度无关。     

Frequency measurement study of resonant vibratory gyroscopes

In this paper, frequency measurement methods of resonant vibratory gyroscopes are studied. First, the working principle and dynamic output characteristics of the resonant vibratory gyroscope are introduced, which provide a theoretical analysis base to analyze the dynamic frequency output characteristic of the resonant vibratory gyroscope. Moreover, some relevant frequency measurement methods are introduced, a frequency measurement method based on dynamic output characteristics has been proposed for the purpose of investigating the modulated output signal of resonant vibratory gyroscopes. Finally, in order to verify the feasibility of the proposed frequency measurement method, resonator oscillator and dynamic frequency measurement experiments of the resonant vibratory gyroscopes are built. It is concluded from the resonator oscillator result that the designed and observed resonant frequency of the resonator have a good match, which shows the design of resonator oscillator is feasible. It is concluded from the dynamic frequency measurement result that correlation coefficient of output fitted curve is 99.95%, and the output characteristic of the gyroscope is linear frequency output, which shows the effectiveness of the proposed frequency measurement method.     

Frustrated Total Internal Reflection: Resonant and Negative Goos–Hänchen Shifts in Microwave Regime

It is well-known that the variations of Goos–Hänchen shifts (GHSs) are closely associated with the energy flux provided by evanescent states in the case of total internal reflection. However, when the frustrated total internal reflection (FTIR) is realized with double-prism system operated in the microwave frequency, we observe that the GHSs for the reflected beam show periodic, resembling the phenomenon for transmitted beams reported in the literatures, versus either the operating frequency or the air layer thickness, which is different from the variation of the corresponding reflected energy. Moreover, in another FTIR based system fabricated by a composite absorptive material slab with a two-dimensional top layer of frequency selective surface (FSS), the GHSs for reflected beam are discovered as not only resonant but also negative with the incidence of transverse electric that is TE polarized, just as predicted theoretically in the literatures.     

Frequency moments and energy shifts for dilute Mössbauer impurities in metallic solids

Theoretical evaluations of frequency moments and second order Doppler shifts have been made for dilute⁵⁷Fe impurities in the high temperature limit for a harmonic solid. The resonant energy shifts have been calculated from the Green’s function of the impure crystal containing both mass disordering and force constant change terms in the crystal Hamiltonian. High temperature frequency moments for the impurity in different metallic solids are obtained from Mc-Millan ratios using standard Mössbauerf-values at room temperature. The effect of mass disordering predominates over the force constant change term in the evaluations of second order Doppler shifts and hence the frequency moments for dilute⁵⁷Fe impurities. The variation of frequency moments for the impurity with mass modified Debye-temperature of the hosts is shown for a number of metallic solids.     

Backing effects on the underwater acoustic absorption of a viscoelastic slab with locally resonant scatterers

Backing effects on the underwater acoustic absorption of a viscoelastic polymer slab embedded with locally resonant scatterers are reported. The polymer slab is embedded with two layers of locally resonant scatterers, i.e. Al spheres coated by soft silicon rubber. Theoretical absorption coefficients of the polymer slab under different backings using a layer multiple scattering method show good agreement with the experimental results, which supports unambiguously the experimental observation. Then relations between the resonance modes and the low-frequency absorption peaks of the composite slab are clarified to address the absorption mechanisms. It shows that the mass of the steel backing affects evidently the low-frequency absorption, the absorption peak shifts to lower frequency range while increasing the backing mass.     

长周期光纤光栅弯曲特性的模式耦合理论分析

运用模式耦合理论分析了长周期光纤光栅的弯曲特性,得出了该特性与光纤归一化频率V和模式的阶数m有关的结论,即随着弯曲曲率的增大,其谐振波长可能向长波方向漂移也可能向短波方向漂移,光纤的归一化频率和所考察模式的阶数是其决定因素.并运用等效倾斜光栅理论合理解释了弯曲长周期光纤光栅耦合峰幅值的变化特性.     

Band gap of carbon nanotubes under combined uniaxial–torsional strain

Within tight-binding model, the band gaps of armchair and zigzag carbon nanotubes (CNTs) under both uniaxial tensile and torsional strains have been studied. It is found that the changes in band gaps of CNTs depend strongly on the strain type. The torsional strain can induce a band gap for armchair CNTs, but it has little effect on band gap of the zigzag CNTs. While the tensile strain has great effect on band gap of zigzag CNTs, but it has no effect on that of the armchair CNTs. More importantly, when both the tensile and torsional strains are simultaneously applied to the CNTs, the band gap changes of armchair CNTs are not equal to a simple sum over those induced separately by uniaxial tensile and torsional strains. There exists a cooperative effect between two kinds of strains on band gap changes of armchair CNTs. But for zigzag CNTs, the cooperative effect was not found. Analytical expressions for the band gaps of armchair and zigzag CNTs under combined uniaxial–torsional strains have been derived, which agree well with the numerical results.     

Effect of Carbon Nanotubes on the Mechanical Properties of Polypropylene/Wood Flour Composites: Reinforcement Mechanism

Maleic anhydride grafted polypropylene (PP-g-MA) was employed as the compatibilizer and carbon nanotubes (CNTs) or hydroxylated CNTs as reinforcements for polypropylene/wood flour composites. The results showed that when the PP-g-MA loading level was 10 wt%, the bending strength, tensile strength, Izod notched impact strength, and elongation at break of PP-wood composites were enhanced by 85% (66.3 MPa), 93% (33.7 MPa), 5.8% (2.01 kJ/m²), and 64% (23%), respectively, relative to the uncompatibilized composites. The introduction of pristine CNTs only improved slightly the overall mechanical properties of the compatibilized composites due to poor interfacial compatibility. Unlike CNTs, incorporating hydroxylated CNTs (CNT-OH) could significantly improve all of the mechanical properties; for instance, at 0.5 wt% CNT-OH loading, the flexural strength and tensile strength reached 68.5 MPa, and 40.4 MPa about 6.6% higher than that for the composites with the same CNT loading. Furthermore, CNT-OH also remarkably enhanced the storage modulus. Contact angle and morphology observations indicated that the increases in mechanical properties could be attributed to the improvements of interfacial interactions and adhesions of CNTs with the matrix and fillers.     

Validity and Accuracy of Resonance Shift Prediction Formulas for Microcantilevers: A Review and Comparative Study

This article provides a review of methods of predicting mass-induced resonance shifts in microcantilevers. It combines a review of factors that influence resonance frequency shifts, such as material properties, size effects, and support compliance with a comparative study of accuracy of predicting resonance shifts due to mass adsorption. The applicability and accuracy of widely used formulas to correlate mass addition with resonance shift are assessed through comprehensive comparison with experimental measurements and numerical methods. The methods include both distributed parameter and lumped parameter formulations. The applications include distributed added masses, tip masses, and added mass at arbitrary locations along a cantilever span.     

Quantitative determination of material viscoelasticity using a piezoelectric cantilever bimorph beam

The objective of this paper is to formulate the governing equation of a cantilever bimorph beam associated with a tip mass in contact with a viscoelastic material, which is modeled by a stiffness and a damper in parallel. From the eigenvalue problem, we can obtain the resonant frequencies as functions of the tip mass and material stiffness. The relation between the spectrum and material damping is established by the half-power bandwidth. It is found that the resonant frequencies increase as the material stiffness increases or the tip mass decreases, and the spectrum decreases by increasing the damping. From the analytic results, a cantilever could provide a technique to assess material viscoelasticity by simple measurements of the resonant frequency and the spectrum. Since the cantilever's behavior scales with its geometry, the device can be designed specifically for mechanical measurement of a microscopic system such as living cells and biomaterials.     

光梯度力驱动纳谐振器的非线性动力学特性研究

光梯度力作为纳谐振器的一种新型驱动方式,得到了广泛关注.本文研究了光梯度力的固有非线性特性,建立了光梯度力驱动圆环与辐条谐振系统的动力学模型.揭示了入射光功率以及几何参数对系统的非线性动力学响应的影响规律.研究表明:光梯度力会引起系统呈现刚度软化效应,随着入射光功率增大,系统主共振峰值明显增大,且谐振频率随着振幅增大而产生较大偏移;两环初始间隙增大,系统振动幅值和谐振频率均下降;辐条厚度越大,系统主共振峰值和谐振频率均减小.因此,可以通过调节入射光功率来实现圆环辐条谐振器的频率调节,为光梯度力驱动纳谐振器动力学设计和性能预测提供理论参考.     

探测结构材料应力的频率谐振技术

设计和建造大型磁体系统(包括常温和低温超导磁体)是目前核聚变工程中重要的问题之一。而磁体研制的核心问题都与强大机械力的存在有关。因此开展对磁体及结构材料应力的研究工作就显得特别重要。 近年来开始应用声学方法研究磁体中与力有关的问题(例如用声发射技术探测超导磁体的工作情况),已取得了有希望的结果。我们对低温与超导磁体中常用结构材料进行过声发射实验研究,也对目前尚存在争论的“磁体猝灭的声发射预测”问题进行了实验研     

左手材料中通过改变层间距实现谐振频率的移动(英文)

为了研究周期性结构的左手材料中层间距和频率的关系,分别制作了层间距分别为3.08mm,2.93mm,2.73mm和2.33mm的棱镜形样品。用网络分析仪HP8720ES测量了电磁波通过样品折射后的强度和频率的关系图。同时还模拟了层间距为3.23mm,3.13mm,3.03mm,2.93mm和2.73mm的样品,得到了相应的频率和电磁波强度的关系曲线。实验和模拟结果一致,即:随着层间距的减小,谐振频率从高频向低频移动。     

Resonant frequency shifts induced by a large spherical object in an air-filled acoustic cavity

Acoustic resonances are modified when objects are introduced into a chamber. The magnitude of these changes depends on the object position, size, and shape, as well as on its acoustic properties. Here, an experimental study concerning the resonant frequency shifts induced by a solid spherical object in a quasi-one-dimensional air-filled acoustic cavity is reported. It is shown that Leung's theory does not account quantitatively for the observations. A novel and simple approach is proposed, based on the wave equation in a cavity of variable cross section. The results fit more accurately the measured frequency shifts.     

左手材料中通过改变层间距实现谐振频率的移动

为了研究周期性结构的左手材料中层间距和频率的关系,分别制作了层间距分别为3.08 mm,2.93 mm,2.73 mm 和 2.33 mm的棱镜形样品。用网络分析仪HP8720ES测量了电磁波通过样品折射后的强度和频率的关系图。同时还模拟了层间距为3.23 mm,3.13 mm,3.03 mm,2.93 mm 和2.73 mm的样品,得到了相应的频率和电磁波强度的关系曲线。实验和模拟结果一致,即：随着层间距的减小,谐振频率从高频向低频移动。     

声学超材料与超表面研究进展

声学超材料是一种人工设计结构的材料,具有超越自然界材料行为的特性,如负折射、反常多普勒效应、平面聚焦等.本文主要介绍了声学超材料近二十年来的相关研究进展,重点论述了超原子声学超材料、超分子声学超材料、超原子簇和超分子簇声学超材料.最后简要介绍了近五年来声学超表面的研究概况和发展趋势.     

Waves in resonant random media

Electromagnetic properties of resonant inhomogeneous media are investigated. A new type of transverse electromagnetic wave arising due to the effective spatial dispersion is studied. It is shown that scattering on the fluctuations of the resonant frequency of the medium shifts the Cherenkov threshold and reduces the intensity of the Cherenkov radiation.