Vibration analysis of multi-supported curved panel using the periodic structure approach

This papers deals with the radial vibration of a row of cylindrical panels of finite length using the concept of wave propagation in periodic structures. For this study, the structure is considered as an assemblage of a number of identical cylindrically curved panels each of which will be referred to as a periodic element. For a given geometry dispersion curves of the propagation constant versus (non-dimensional) natural frequency have been drawn corresponding to the circumferential wave propagation. New conclusions that have emerged from this study are as follows. It is shown that by a proper choice of the periodic element the bounding frequencies and the corresponding modes in all the propagation bands can be determined. These have been shown to correspond to a single curved panel with all its edges simply supported. It is noted that there are no attenuation gaps in the entire frequency spectrum beyond the lowest bounding frequency. This is a unique feature of circumferential wave propagation around circular cylindrical shells and panels, as opposed to the wave propagation of periodically supported beams and rectangular panels without curvature. The natural frequency corresponding to every circumferential mode of the complete shell has been identified on the propagation constant curve. It has been observed that the natural frequencies of a cylindrically curved panel of a given curvature and length but of different circumferential arc length (corresponding to different angles subtended at the centre of any circular cross-section) may also be identified on the same propagation constant curve. Finally, it is shown that the same propagation constant curve may also be used to determine all the natural frequencies of a finite row of curved panels with the extreme edges simply supported. Wherever possible the numerical results have been compared with those obtained independently from finite element analysis and/or results available in the literature. Flutter analysis of multi-span curved panels using a wave approach is the ultimate objective of this work.     

Wave dispersion and attenuation in viscoelastic polymeric bars: Analysing the effect of lateral inertia

Elementary one-dimensional wave theory is often used to describe the propagation of longitudinal stress waves in polymer rods. More accurate solutions are available, but they are mathematically difficult. A new wave equation is derived for long polymeric rods in this paper. The material properties are modelled as a Maxwell viscoelastic material acting in parallel with an elastic material. Lateral motions of the rod that result from the Poisson effect are accounted for using a new concept called the “effective density”. The effects of both the material properties and the diameter of the bar on dispersion and attenuation coefficients are highlighted. The new wave theory simplifies to the one-dimensional solution for waves in polymer rods if the Poisson ratio is set to zero. The predictions simplify to Love's equation for stress waves in elastic bars when rate dependency is removed from the material model.     

周期结构和均匀结构隔振器滤波特性的对比研究

采用谱有限元和传递矩阵法推导了波在均匀结构和周期结构隔振器中的传播模型,对比了均匀结构（铝）和周期结构（铝/橡胶）隔振器的滤波特性,讨论了几何尺寸和材料特性对周期结构隔振器滤波特性的影响。研究结果表明：改变周期结构单元的几何尺寸和材料特性,能将带隙频率范围扩大并延伸至低频。通过实验证实了理论模型预测的正确性。     

基于有限元法的周期拱形结构振动特性

设计一种新型低频隔振系统,该系统利用拱形的结构特点,将拱形结构重组设计后沿竖直方向周期化排列,形成周期拱形结构。运用有限元法结合Bloch定理对周期拱形结构的振动传播特性进行理论推导,并讨论尺寸和材料参数对振动带隙的影响规律。讨论发现,拱形高度对隔振频率范围没有影响,这能够很好解决工程实际中在某一方向有空间尺寸限制的问题,实现此方向小尺寸隔振的目的;隔振频率的降低可以通过增加结构长度、减小材料厚度、降低材料弹性模量和密度来实现。通过有限元分析软件和试验测试证实了周期拱形结构带隙算法的有效性。分析和测试结果证明,周期拱形结构具有小尺寸抑制该方向低频振动的能力,这对工程实际中的低频隔振技术具有参考价值。     

Plastic continuum models for truss lattice materials with cubic symmetry

Analytical and numerical studies on continuum models for the elastic-plastic behavior of uniformly periodic lattice materials under multi-axial loading are presented in this paper. This study firstly investigates the basic topology of unit cell structures for three different lattice materials with cubic symmetry. By homogenizing the mechanical properties of these materials within the unit volume space, the equivalent continuum models are obtained with the internal variables which result in the mechanical and geometrical characteristics of discrete truss members at the micro-scale such as structural packing, axial stiffness, and material density. Therefore, in this study, the strain hardening was applied to the material model of individual truss members in a valuable effort to explain the plastic behavior of the homogenized lattice material. The expansion of pressure-dependent stress surface at the macro-scale level is estimated by analytical predictions, which are derived from the equivalent continuum models. Analytical predictions show good agreements with existing results obtained by finite element (FE) analyses.     

运用波传播和子结构技术检测结构损伤

提出了一种基于波传播和子结构技术来检测大型周期结构损伤的方法,分析了存在单一扰乱单元的有限周期结构的自由波传播,讨论了单元柔度变化对结构自振频率变化的敏感性。通过求解敏感性方程,用测得的自振频率的变化检测了大型周期结构的损伤位置和程度,并通过与子结构方法的结合,进一步提高了大型周期结构损伤检测的准确性和计算效率。对周期弹簧－质量结构损伤识别的数值结果说明,该方法不仅对结构损伤的位置和大小能够作出良好地预测,而且不需要知识未损伤结构的原始信息,只需要测得结构损伤前后的少数几个自振频率的变化,这对于实际的工程运用具有一定的吸引力。     

周期弹簧振子结构振动带隙及隔振特性研究

无限周期弹簧振子结构具有和声子晶体类似的振动(弹性波)带隙,带隙频率范围内的振动(弹性波)在该结构 中无法进行传播。在计算无限周期弹簧振子结构振动(弹性波)带隙的基础上,采用数值方法计算并讨论了有限周 期弹簧振子结构的振动传输特性及隔振特性,最后以双质量周期弹簧振子结构为例,对其振动传输特性及隔振特 性进行了试验验证。     

基于波传播法的一维声子晶体禁带

提出用波传播法(Wave propagation method,WPM)来研究一维声子晶体的禁带特性,并将该方法与平面波展开法(Plane wave expansion,PWE)进行比较,发现PWE随着波数的增加而逐渐收敛于WPM的结果.将WPM应用于一维二元和一维四元声子晶体禁带特性的计算中,在相同计算精度下WPM的计算时间大约为PWE的1/50和1/100.当考虑到粘弹性材料的频变特性时,WPM能直接得到声子晶体的禁带特性,在相同的计算精度下WPM的计算量大约要比经过迭代改进的PWE的计算量小两个数量级.     

钻柱信道中声信号传输的接收特性分析

针对周期性管结构信道特征,构建钻柱内一维低频纵波传输的有限差分模型,应用单个加速度传感器作为声接收器,在时、频域仿真分析了换能器接收位置对声信号传输特性的影响规律。在此基础上,考虑信道内多重回波对声通信信号检测的影响,基于信道容量的分析,引入上、下行信道的单位脉冲激励响应,设计了一种基于双声接收器模式的回波噪声抑制方法,并利用倒频谱解析算法,求解接收信号中的回波信息,分析了单、双接收器工作模式下信道响应特征。数值仿真结果表明,双接收模式可有效抑制井下回波噪声,改善信噪比,从而实现更佳的信道接收性能。     

Behaviour of aluminium during the passage of large-amplitude plastic waves

The measurements in an experiment which makes possible simultaneous studies of tensile and compressive wave profiles in the same specimen are discussed. The results have been shown to demonstrate that the strain-rate independent, one-dimensional theory of finite amplitude waves applies to the propagation of tensile waves in fully annealed 1100-F aluminium. The dynamic response function of the material is shown to be the same in tension and compression. This same dynamic response function is shown further to give the quasi-static tensile response of the material.     

周期性结构的石墨烯对太赫兹波的吸收特性研究

针对在六角孔形周期性结构阵列铜网上生长而成的石墨烯,对其在太赫兹波段的吸收进行了研究与讨论。用太赫兹时域光谱耦合系统对石墨烯样品进行检测,检测结果表明,在0.7~1.4THz范围内,因石墨烯样品含有的杂质增强了对太赫兹波的吸收,进而增大了整体的吸收率,所以片状石墨烯样品的吸收率约为4%,比以往文献中记载的2.3%高。因部分太赫兹波被石墨烯周期性结构形成的等离子带吸收,还有少部分太赫兹波被周期性结构干涉和散射,周期性结构石墨烯的吸收率增大了约1.5倍。     

超声导波在圆管结构损伤定位中的应用

针对结构损伤会影响超声导波传播,提出基于超声导波无损检测的结构健康监测方法。以内径为174mm、外径为194mm、材料为20~#碳钢的圆管结构为例,根据频散方程利用数值法求解其纵向模态以及周向Lamb波频散曲线。同时考虑其频散曲线和波的结构,确定激励频率中心频率为80kHz。在此基础上进行有限元仿真,验证圆管中导波的传播机理及特征。针对此频率圆管纵向模态导波以及周向Lamb波的频散特性、波的结构比较接近,且都与板中的Lamb波相似,从而提出了单点激励、多点接收,并采用椭圆定位的方法,实现圆管结构损伤定位。通过仿真和实验验证该方法对切槽、圆孔等损伤的识别效果,并对损伤定位误差的影响因素进行了分析。     

脉冲爆震火箭发动机数值模拟研究

脉冲爆震火箭发动机是一种利用脉冲式爆震波产生高温、高压燃气发出的冲量来产生推力的新型推进系统。与常规液体火箭发动机相比,脉冲爆震火箭发动机具有更高的性能,并且结构更简单。本文应用特征线法给出一维爆震波在爆震管内的传播过程的解析解。对爆震波到达爆震管口后发动机的非定常排气流动过程进行了二维数值模拟,并对比了无喷管和带3种不同形式喷管(收敛喷管、收敛扩张喷管和扩张喷管)对发动机推力等性能参数的影响。     

Thermoelastic waves in coated homogeneous anisotropic materials

In this article the effect of anisotropy and temperature on the dispersive wave propagation in composite substrate has been investigated. The propagation of guided waves in coated homogeneous anisotropic thermoelastic media is of interest in electronics and related areas. In recent years, cladded fiber-reinforced composites are being developed for use as aerospace structures. This paper deals with the guided wave propagation in a cladded (or coated) thermoelastic homogeneous anisotropic medium in the context of linear generalized thermoelasticity. The cladding (coating) is assumed to be thin homogeneous isotropic layer, which is bonded to a transversely isotropic substrate with the axis of symmetry parallel to the layer. It is shown that the anisotropy of the substrate affects the dispersion behaviour in a manner that is substantially different than that in case of isotropic substrate. In addition, the effect of variation of temperature on the dispersion curves and attenuation coefficient of thermoelastic waves is also studied. The results in case of classical coupled thermoelasticity (CT) and uncoupled thermoelasticity (UCT) can be obtained as special cases from the present analysis by omitting thermal relaxation time and thermo mechanical coupling effects, respectively. Finally, the numerical solution of the model is obtained by computer simulations for a magnesium material half-space in different situations and the computed dispersion curves and attenuation coefficient profiles have been presented graphically in order to illustrate different phenomenon involved.     

二维声子晶体薄板的振动特性

从薄板的振动方程出发,利用平面波展开法,给出了无限周期结构的二维声子晶体薄板的振动能带结构。发现二维声子晶体薄板存在振动带隙,但是与二维声子晶体xy模态的能带结构有区别。利用有限元法,对有限周期结构的声子晶体薄板振动频率响应进行仿真。在带隙频率范围内,频率响应存在较大衰减。并且给出了带隙内和带隙外两个频率点的波场分布。周期结构薄板中存在的振动带隙为声子晶体在减振方面的应用提供了一种新思路。     

基于波传播和阻抗特性的裂纹梁损伤识别

基于结构振动波传播理论,讨论了在简谐力作用下,裂纹简支梁的弯曲波动解。为了描述由裂纹引起的梁中波传播的不连续特性,引入弯曲弹簧模型来模拟裂纹,并在此基础上提出了利用梁结构驱动点阻抗特性的裂纹损伤识别方法。以一裂纹简支梁为例进行了数值分析,得到了裂纹简支梁的驱动点阻抗特性曲线。从该曲线可以发现,梁的第一阶谐振频率和反谐振频率都随裂纹的出现而减小,并且频率减少量随裂纹尺寸的增大而增加。结合裂纹梁第一阶谐振频率与驱动点位置关系曲线,利用曲线上出现的突变点,准确地识别了梁的损伤状态和裂纹损伤位置。最后,利用已识别的裂纹位置和第一阶固有频率定量地识别了裂纹尺寸。     

多带隙联合的声子晶体滤波梁弹性波传播特性

提出了一种包含Bragg散射、整体局域共振和局部局域共振机理的多带隙联合声子晶体滤波梁,通过传递矩阵法与Bloch定理求得无限周期结构各阶带隙为0～170 Hz、180～262.6 Hz、552.3～597 Hz、974～1 563 Hz、1 903～2 667 Hz;并调节结构参数,得出带隙调制规律和带隙机理。同时,与其他3种工况声子晶体梁带隙特征进行对比分析,证明了声子晶体滤波梁在带隙宽度、丰富度以及弹性波衰减率方面均有着相对优势,具备更好的过滤或抑制结构中弹性波的性能。此外,求解近声子晶体滤波梁的振动传递系数,得出在各阶带隙范围内,弹性波的传播存在明显衰减,验证了带隙的存在。最后为探究弹性波在带隙/通带范围内的波动模式,分别提取位于带隙/通带范围梁体位移分布,发现在带隙频率范围内的弹性波沿波动方向快速衰减,表现出带隙特性;通带频率范围内的弹性波无明显变化或衰减,表现出通带特性。     

Passive prandtl-meyer expansion flow with homogeneous condensation

Prandtl-Meyer expansion flow with homogeneous condensation is investigated experimentally and by numerical computations. The steady and unsteady periodic behaviors of the diabatic shock wave due to the latent heat released by condensation are considered with a view of technical application to the condensing flow through steam turbine blade passages. A passive control method using a porous wall and cavity underneath is applied to control the diabatic shock wave. Two-dimensional, compressible Navier-Stokes with the nucleation rate equation are numerically solved using a third-order TVD (Total Variation Diminishing) finite difference scheme. The computational results reproduce the measured static pressure distributions in passive and no passive Prandtl-Meyer expansion flows with condensation. From both the experimental and computational results, it is found that the magnitude of steady diabatic shock wave can be considerably reduced by the present passive control method. For no passive control, it is found that the diabatic shock wave due to the heat released by condensation oscillates periodically with a frequency of 2.40 kHz. This unsteady periodic motion of the diabatic shock wave can be completely suppressed using the present passive control method.     

基于谱元法的板结构中导波传播机理与损伤识别

建立板结构的三维谱元法模型和结构-压电晶片耦合模型,对铝合金板中Lamb波的传播机理和与损伤作用规律进行研究。以单点激励力模型研究了板中Lamb波的频散关系,从理论上对所建立的模型进行了验证;基于压电晶片模型研究了在施加电压激励条件下导波的传播规律;研究单一压电晶片、板中上下表面施加同相位或反相位激励电压的两个压电晶片三种情况下结构的响应;对板中传播Lamb波的幅值与传播距离的关系进行分析;采用减小结构单元刚度的方法模拟结构中的裂纹损伤,研究Lamb波与损伤的作用;结合试验分析,验证所仿真结果结论的正确性。相对二维谱元法模型,所建立的板结构三维谱元法模型能更真实地模拟结构中导波的激励与接收以及波的传播。     

Cat Swarm Optimization algorithm for optimal linear phase FIR filter design

In this paper a new meta-heuristic search method, called Cat Swarm Optimization (CSO) algorithm is applied to determine the best optimal impulse response coefficients of FIR low pass, high pass, band pass and band stop filters, trying to meet the respective ideal frequency response characteristics. CSO is generated by observing the behaviour of cats and composed of two sub-models. In CSO, one can decide how many cats are used in the iteration. Every cat has its′ own position composed of M dimensions, velocities for each dimension, a fitness value which represents the accommodation of the cat to the fitness function, and a flag to identify whether the cat is in seeking mode or tracing mode. The final solution would be the best position of one of the cats. CSO keeps the best solution until it reaches the end of the iteration. The results of the proposed CSO based approach have been compared to those of other well-known optimization methods such as Real Coded Genetic Algorithm (RGA), standard Particle Swarm Optimization (PSO) and Differential Evolution (DE). The CSO based results confirm the superiority of the proposed CSO for solving FIR filter design problems. The performances of the CSO based designed FIR filters have proven to be superior as compared to those obtained by RGA, conventional PSO and DE. The simulation results also demonstrate that the CSO is the best optimizer among other relevant techniques, not only in the convergence speed but also in the optimal performances of the designed filters.