空气中周期管阵列的声波禁带研究

本文以不锈钢管正方形排列在空气中形成的二维声子晶体为对象,使用平面波展开法计算并通过实验测试的方法,分析了该二维声子晶体的声波禁带,讨论了晶格常数对声波禁带的影响.结果表明,随着晶格常数的减小,ΓX方向禁带宽度增加,禁带上下边界频率增大.     

二维正方晶格钢/水声子晶体方向带隙实验研究

基于超声浸水透射技术,分别沿着二维正方晶格钢/水声子晶体第一布里渊Γ-X和Γ-M方向测试声带隙,详细分析了声子晶体Γ-X和Γ-M方向层厚和第一方向带隙稳定性的关系,进而为设计有限尺寸声带隙材料或声波器件提供重要参考依据.同时,对比了实验测得透射谱频率重合范围与平面波展开法计算完全带隙很好的吻合.     

声子晶体超晶格的能带折叠现象

为了研究声子晶体超晶格的能带折叠现象,利用平面波展开法结合超晶胞方法分析了声子晶体超晶格的能带结构.研究表明,声子晶体超晶格的能带与光子晶体、半导体超晶格相同,都具有能带的折叠现象.     

电厂锅炉内换热器管阵列的声传播特性

0引言1993年Kushwaha首次提出了声子晶体的概念,近年来,对于声子晶体的研究取得了显著的进展。Kushwaha等研究发现三角晶格比正方晶格声子晶体的带隙更宽;,Vasseur等表明正方截面相对于圆截面能获得更宽的带隙;Goffaux等和Wu等分别研究了二维固/固和流/流声子晶体的正方截面散射体旋转角度对带隙的影响,结果显示旋转角度对带隙影响显著[1-4]。锅炉内换热器管阵列构成二维声     

任意散射体形状二维周期结构的弹性波带结构计算方法研究

通过将任意结构的声子晶体单元离散化,采用数值积分的方法,解决了其结构函数求解中的积分问题,从而改进了现有的平面波算法,使之能够计算二维任意单元结构正方晶格声子晶体的带结构.通过对比采用传统的以及本文中改进的平面波算法分别计算得到的规则单元结构声子晶体的带结构,验证了文中算法的正确性.采用文中改进的平面波算法,可方便地对二维声子晶体的单元结构进行拓扑优化,从而改进其带隙特性.     

基于同伦摄动法三次型非线性系统跌落冲击响应分析

目的 以典型的三次型非线性系统为研究对象,研究非线性系统跌落冲击响应的近似解析.方法 研究包含复杂非线性项的保守缓冲包装系统,以三次型非线性系统为例,通过使用同伦摄动法求解运动方程,求得跌落冲击响应的一阶近似解,并使用能量法修正一阶近似解.基于最大加速度响应表达式,获取非线性系统破损边界曲面,进行系统损伤评价.结果 修正后的一阶近似解的最大位移响应、最大加速度响应与龙格库塔法的数值更接近.随着产品脆值的增大,破损边界曲线逐渐上移,系统就越安全.结论 同伦摄动法的应用可为后续的非线性跌落冲击分析提供简便性.     

一维功能梯度材料声子晶体弹性波带隙研究

应用平面波展开法研究了由功能梯度材料周期复合而成的一维声子晶体中存在的弹性波带隙特征,并得到第一阶带隙归一化起始频率、截止频率和宽度随功能梯度材料表面材料常数、指数因子和组分比变化的关系图。并对功能梯度材料声子晶体与常规材料声子晶体帯隙特征进行了比较,结果表明,功能梯度材料声子晶体较常规材料声子晶体在相同范围内能够出现更多阶带隙结构。这些结果为功能梯度材料声子晶体在工程实际中的广泛应用提供了理论依据和指导。     

二维复合结构声子晶体的振动特性与实验研究

声子晶体可以获得低频带隙,抑制特定频率振动的传播。建立二维复合结构声子晶体的有限元模型,分析其传输特性,以得到各组元参数对带隙的起止频率及带宽的影响。分析声子晶体的各种材料参数、结构参数、周期数、排列方式等对带隙的影响。利用铝板、硅胶、钢片材料制作复合结构声子晶体样件,进行传输特性实验,得到的频率响应曲线与有限元仿真结果吻合很好。进而为声子晶体在中低频减振中的具体应用提供依据。     

正切非线性包装系统跌落冲击的MSLP解EI北大核心CSCD

针对有阻尼正切型非线性包装系统在发生跌落冲击时的响应问题,基于摄动法(multi-scale Lindstedt-Poincare,MSLP)讨论了系统跌落冲击响应的一、二次近似解。并与龙哥库塔法(R-K)的数值结果及相关文献进行了对比,对比结果显示:对于正切型强非线性包装系统,MSLP计算的最大位移和加速度响应的一阶近似解与R-K数值结果对比的相对误差分别为1.35%和3.28%,二次近似阶的相对误差分别为0.62%和1.84%,在不进行能量修正的情况下,比同伦摄动法、牛顿谐波平衡法的精度更高。考虑阻尼系统能量修正的复杂性,所求有阻尼正切型非线性系统跌落冲击一次近似解析具有较好的精度和简洁的形式,为此类问题的求解及工程应用提供了参考。     

类三角晶格固/固型声子晶体的带隙特性研究

首先划分7种类三角晶格声子晶体按三角点阵排列,然后利用平面波展开法计算了类三角晶格钢/环氧声子晶体的反平面模态能带结构,讨论了带隙各向同性和归一化半径对低频带隙的影响。结果表明,类三角晶格钢/环氧声子晶体可以打开不同频率段较宽带隙;选取归一化半径分别为0.34和0.38,使低频带隙得到最大值。这些带隙特征为设计新型减振材料提供了理论依据。     

四边固支功能梯度板中波的传播

摘要：考虑剪切变形和转动惯性的影响,采用一阶剪切变形板理论和小应变的应变－位移关系,利用Hamilton原理推得运动控制方程,并应用特征值方程得到频散方程。给出了波在功能梯度板中传播的频散,相速度和群速度随波数变化的曲线,分析了不同的功能梯度材料指数对波传播的影响规律。     

Love type waves in a porous layer with irregular interface

The dispersion equation is derived relating to the frequency and the phase velocity of propagation of Love waves in a nondissipative liquid filled porous solid underlain by an isotropic and homogeneous half space. The rectangular irregularity in the interface between the upper porous layer and the lower semi-infinite medium with a source in it is studied herein. The modified dispersion equation of Mal and the standard dispersion equation of Love waves are deduced as particular cases. In the present study, the frequency equation is obtained by applying the method of perturbation and the phase velocity curves have been drawn for different irregularities by using the numerical parameteric values as suggested by Biot.     

Acoustoelastic Effects on Borehole Flexural Waves in Anisotropic Formations under Horizontal Terrestrial Stress Field

Applying the Stroh theory and based on the works of Hwu and Ting (1989), the complex function solution of stress and displacement fields around an open borehole in intrinsic anisotropic formation under horizontal terrestrial stress field is obtained. For cross-dipole flexural wave propagation along borehole axis, using the perturbation method, the acoustoelastic equation describing the relation between the alteration in phase velocity and terrestrial stress as well as formation intrinsic anisotropy is derived. At last, the numerical examples are provided for both the cases of fast and slow formation where the symmetry axis of a transversely isotropic (TI) formation makes an angle with the borehole axis. The phase velocity dispersion curves of borehole flexural wave and the corresponding velocity-stress coefficient are investigated. Computational results indicate that different from the stressed intrinsic isotropic formation situation, the variation in the phase velocity of flexural wave in stressed intrinsic anisotropic formation is dominated by two factors, one is the intrinsic formation anisotropy itself and the other is the stress-induced anisotropy. The former factor merely causes the borehole flexural wave split while the latter factor induces the dispersion curves intersection for two flexural waves polarized orthogonally. The combined effect of the two factors could strengthen or weaken the phenomenon of crossover for flexural wave dispersion curves. Thus, the dispersion curves of flexural waves may not intersect even under the unequal horizontal terrestrial stress field, whereas it is still possible to observe the crossover of the flexural wave dispersion curves under the equal horizontal terrestrial stress field. The polarized direction of the low-frequency fast flexural wave is no longer consistent with the direction of the maximum horizontal terrestrial stress all the time. Therefore, the crossover of the borehole flexural wave dispersion curves means that the terrestrial stress must exist. On the other hand, we can't exclude the possibility of the existence of terrestrial stress even if the flexural wave dispersion curves do not intersect. Based on the above researches, the method for terrestrial stress inversion from borehole flexural wave dispersion curves obtained by cross-dipole sonic logging in stressed intrinsic anisotropic formation is simply discussed.     

Interfacial waves in dissimilar piezoelectric cubic crystals with an imperfect bonding

This paper studies propagation of shear waves along a weak interface of two dissimilar piezoelectric cubic crystals. Two piezoelectric cubic crystals are bonded along a specified cut direction. For an imperfect electrode interface, a dispersion relation of interfacial waves is derived explicitly. Numerical solutions are evaluated for several commonly-used piezoelectric cubic crystals. Our results show that interfacial imperfection alters the velocity of the interfacial shear waves. In particular, sometimes the interfacial shear waves may not exist for a perfect grounded interface and exist only for an imperfect electrode interface.     

声二极管中声传播模型研究

提出一种数值计算模型以描述声子晶体和包膜气泡群构成的声二极管中声传播。声子晶体中的声传播基于有限差分的方法数值求解,而微气泡中的非线性声传播采用非线性声波方程耦合微气泡振动方程求解。数值模拟的结果与已报道的实验结果相符合,证明了数值模型的有效性。在此基础上进一步讨论了包膜气泡参数改变对声二极管整流比的影响。     

Squeezing of Bound Solitary Waves in a Birefringent Optical Fibre

Abstract

The coupled nonlinear Schrödinger equations in a birefringent optical fibre are derived by means of the method of path integrals. The dependence of the squeezing effect on the coupled waves is obtained with a first-order perturbation approximation, considering zero-dispersion, normal and abnormal dispersion.     

Observation and tuning of hypersonic bandgaps in colloidal crystals

Composite materials with periodic variations of density and/or sound velocities, so-called phononic crystals, can exhibit bandgaps where propagation of acoustic waves is forbidden. Phononic crystals are the elastic analogue of the well-established photonic crystals and show potential for manipulating the flow of elastic energy. So far, the experimental realization of phononic crystals has been restricted to macroscopic systems with sonic or ultrasonic bandgaps in the sub-MHz frequency range. In this work, using high-resolution Brillouin spectroscopy we report the first observation of a hypersonic bandgap in face-centred-cubic colloidal crystals formed by self-assembly of polystyrene nanoparticles with subsequent fluid infiltration. Depending on the particle size and the sound velocity in the infiltrated fluid, the frequency and the width of the gap can be tuned. Promising technological applications of hypersonic crystals, ranging from tunable filters and heat management to acousto-optical devices, are anticipated.     

Wave propagation in fluid filled nonlinear viscoelastic tubes

Summary The present work considers one dimensional wave propagation in an infinitely long, straight and homogeneous nonlinear viscoelastic tube filled with an incompressible, inviscid fluid. In order to include the geometric dispersion in the analysis, the tube wall inertia effects are added to the pressure-area relation. Using the reductive perturbation technique, the propagation of weakly nonlinear waves in the long-wave approximation is examined. In the long-wave approximation, a general equation is obtained, and it is shown that by a proper scaling this equation reduces to the well-known nonlinear evolution equations. Intensifying the effect of nonlinearity in the perturbation process, the modified forms of these evolution equations are also obtained. In the absence of nonlinear viscoelastic effects all the equations reduce to those of the linear viscoelastic tube.     

一种新的非线性系统脊骨线提取方法

脊骨线对于非线性系统的判断、描述和参数识别,具有重要的意义;而现有的脊骨线提取方法大多理论上较为复杂,且有局部线性化误差较大、数据波动剧烈等问题,限制了工程应用。提出一种新的非线性系统脊骨线提取方法,该方法利用非线性系统自由振动响应的一次谐波分量,计算谐波信号峰值点的瞬时频率,可以方便地提取脊骨线;这种新的非线性系统脊骨线提取方法理论明确、简单,计算方便,易于工程应用。通过三个数值算例说明了该方法的有效性,同时将此方法应用于非线性描述,并综合讨论了非线性描述的几何方法;并基于此方法进行了非线性系统参数识别,取得了良好的效果。