Equivalent theories and tension properties of semi-reentrant structures

Meccanica - Semi Reentrant structures, which exhibit zero Poisson’s ratio and monoclastic curvature, are combinations of hexagonal Honeycomb and auxetic Reentrant structures. Deflections and...     

A fast Fourier transform on multipoles (FFTM) algorithm for solving Helmholtz equation in acoustics analysis

This article presents a fast algorithm for the efficient solution of the Helmholtz equation. The method is based on the translation theory of the multipole expansions. Here, the speedup comes from the convolution nature of the translation operators, which can be evaluated rapidly using fast Fourier transform algorithms. Also, the computations of the translation operators are accelerated by using the recursive formulas developed recently by Gumerov and Duraiswami [SIAM J. Sci. Comput. 25, 1344-1381(2003)]. It is demonstrated that the algorithm can produce good accuracy with a relatively low order of expansion. Efficiency analyses of the algorithm reveal that it has computational complexities of O(Na), where a ranges from 1.05 to 1.24. However, this method requires substantially more memory to store the translation operators as compared to the fast multipole method. Hence, despite its simplicity in implementation, this memory requirement issue may limit the application of this algorithm to solving very large-scale problems.     

Study of the evaporation of colloidal suspension droplets with the quartz crystal microbalance

In this Article, we report the application of the quartz crystal microbalance (QCM) to study the evaporation of colloidal suspension droplets. Droplets of alumina particle suspensions with varying particle size and solid concentration have been investigated. Characteristic responses of the resonance frequency of the QCM associated with the different evaporation stages have been established. Quantitative analysis of the experimental results has been performed by the proposed QCM models. An interesting finding is that frequency increase after complete drying has been observed in some cases. Interpretation of the frequency increase has been developed in terms of the contact stiffness. The possible physical mechanisms are also discussed and quantified in terms of various interparticle forces.     

Frequency response of a quartz crystal microbalance loaded by liquid drops

The frequency response of a quartz crystal microbalance (QCM) in contact with a spreading liquid drop is studied in this paper. An improved model describing the frequency change of the QCM with the shape evolution of the liquid drop with time is proposed based on hydrodynamic analysis, which has not been reported in the literature. It is found that the drop spreading shape, including the base radius and height, has a significant influence on the frequency response of the QCM, resulting in an unexpected increase in the resonant frequency of the QCM. The model shows that the combination of the knowledge about the radial sensitivity of the QCM and the dynamic spreading of the liquid drop is potentially important to optimize the interpretation of the experimental results. The predicted results are verified with experimental results obtained with silicone oil.     

Studies on the sound absorption and transmission loss performances of wood-based,natural and waste materials

Acta Mechanica Sinica - The sound absorption and sound transmission loss performances of the natural woods, hard and soft processed woods with attachment of the various natural or waste materials...     

基于光传播Monte Carlo模拟的三维模型特征提取方法

在现代工业设计、人工智能、软件设计等领域,三维模型正展现强劲需求与活力,传统三维模型特征提取方法仅能提取模型表面特征,难以满足复杂模型特征提取需求,为提高三维模型的特征提取精度,基于光谱分析以及可见光传播特性,提出一种具有高区分度的三维模型特征提取方法。首先利用光散射系数、吸收系数、各向异性等光学特性参数,量化分析光在不同介质中透射、散射、反射概率,并确定最佳光谱模拟波段;其次采用Monte-Carlo法模拟光子束在三维模型中的传播历程,获得光子束传播轨迹的角度、距离、能量等多种统计量,计算不同统计量权重,经过统计分析后完成特征提取;然后在ESB国际通用三维模型库中,测试不同光子束数量、约束空间形状对特征提取效果影响,从而确定最佳模拟参数;最后使用多种特征提取方法与光传播模拟法进行特征提取效果比较,并采用查准率、查全率以及E测度评价指标对特征提取效果进行定量测试。实验结果表明,三维模型特征提取准确度对光传播约束空间形态较为敏感,光子传播的最佳约束空间为球体;三维特征提取效率随着光子束数量升高而降低,在保证特征提取精度的前提下,10000~25000区间是光子束模拟数量的最佳取值范围;基于光传播模拟的特征提取准确度高于小波变换、距离夹角以及D2分布方法,能够满足三维模型检索需求,更适合复杂三维模型的离线特征提取与应用。结合光谱分析与可见光传播特性的模型特征提取法拓宽了光谱分析的应用范围,能够提取出融合三维模型表面特性与内部形态的有效特征,为高精度特征提取技术研究注入新动力。     

Effects of crystal orientations of the facets on the structural stability of metallic Ni nanorods

By means of molecular dynamics simulations, the structural stability of metallic nickel nanorods is investigated under the condition of room temperature. The numerical results show that two parameters are closely related to the stability of nickel nanorod, one of them is its diameter whereas the other is the sort of facets wrapping the nanorod or the axial orientation of the nanorod. The nanorod is stable when its diameter is larger than about 2.8 nm and unstable when the diameter is smaller than 1.2 nm. When the diameter is between 1.2 and 2.8 nm, the instability behavior of the nanorod changes with its axial orientation, and is found to be determined by the sorts of facets forming the surfaces of nanorod. For the surface, the larger the fraction of {111} facets, the more stable is the nanorod. The nanorod wrapped by {110} or {100} facets is the least stable.     

A maze structure for sound attenuation

Sonic crystals are periodic arrangement of scatterers made of material with low acoustic impedance or sound hard materials [1]. Sonic crystals have numerous applications such as green belts and sound barriers. Here we showed that a typical maze structure at children playground can attenuate noise effectively for frequencies ranging from 12.5 Hz to 20,000 Hz. The original designer for the maze structure probably does not have that in mind. The maze structure can be viewed as a sonic crystal structure with sound attenuation characteristics. We found that the maze was able to attenuate noise up to 17.9 dBA for frequency range below 1000 Hz and 23 dBA for higher frequency range up to 20,000 Hz. The maze structure was able to mitigate noise at a wide range of frequencies in addition to the center frequency (f_c$f_c$) of 478 Hz which was estimated based on the Bragg’s Law. The periodic effects of the maze was also proven by numerical studies. Our results demonstrated that the maze structure commonly found in children playgrounds was able to attenuate noise covering the whole human hearing range.