Effects of cavity resonances on sound transmission into a thin cylindrical shell

In the context of the transmission of airborne noise into an aircraft fuselage, a mathematical model is presented for the effects of internal cavity resonances on sound transmission into a thin cylindrical shell. The “noise reduction” of the cylinder is defined and computed, with and without including the effects of internal cavity resonances. As would be expected, the noise reduction in the absence of cavity resonances follows the same qualitative pattern as does transmission loss. Numerical results show that cavity resonances lead to wide fluctuations and a general decrease of noise reduction, especially at cavity resonances. Modest internal absorption is shown to greatly reduce the effect of cavity resonances. The effects of external airflow, internal cabin pressurization, and different acoustical properties inside and outside the cylinder are also included and briefly examined.     

On sound transmission into a thin cylindrical shell under “flight conditions”

In the context of the transmission of airborne noise into an aircraft fuselage, a mathematical model for sound transmission into a thin cylindrical shell is used to study sound transmission under “flight conditions”: i.e., under conditions of external air flow past a pressurized cylinder at flight altitude. Numerical results for different incidence angles are presented for a typical narrow-bodied jet in cruising flight at 10 660 m (35 000 ft) with interior pressure at 2440 m (8000 ft). A comparison is made between no-flow sound transmission at standard conditions on the ground to sound transmission under flight conditions. It is shown that at M = 0, the cylinder transmission loss has dips at f_R (cylinder ring frequency) and f_c (critical frequency for a flat panel of same material and thickness as shell). Below f_R cylinder resonances affect TL. Between f_R and f_c, cylinder TL follows a masslaw behavior. Flow provides a modest increase in TL in the mass-law region, and strongly interacts with the cylinder resonances below f_R. For normally-incident waves, TL is unaffected by flow.     

Mathematical model for characterizing noise transmission into finite cylindrical structures

This work presents a theoretical study of the sound transmission into a finite cylinder under coupled structural and acoustic vibration. Particular attention of this study is focused on evaluating a dimensionless quantity, "noise reduction," for characterizing noise transmission into a small cylindrical enclosure. An analytical expression of the exterior sound pressure resulting from an oblique plane wave impinging upon the cylindrical shell is first presented, which is approximated from the exterior sound pressure for an infinite cylindrical structure. Next, the analytical solution of the interior sound pressure is computed using modal-interaction theory for the coupled structural acoustic system. These results are then used to derive the analytical formula for the noise reduction. Finally, the model is used to predict and characterize the sound transmission into a ChamberCore cylindrical structure, and the results are compared with experimental data. The effects of incidence angle and internal acoustic damping on the sound transmission into the cylinder are also parametrically studied.     

On sound transmission into a stiffened cylindrical shell with rings and stringers treated as discrete elements

In the context of the transmission of airborne noise into an aircaft fuselage, a mathematical model is presented for the transmission of an oblique plane sound wave into a finite cylindrical shell stiffened by stringers and ring frames. The rings and stringers are modeled as discrete structural elements. The numerical case studies was typical of a narrow-bodied jet transport fuselage. The numerical results show that the ring-frequency dip in the transmission loss curve that is present for a monocoque shell is still present in the case of a stiffened shell. The ring frequency effect is a result of the cylindrical geometry of the shell. Below the ring frequency, stiffening does not appear to have any significant effect on transmission loss, but above the ring frequency, stiffeners can enhance the transmission loss of a cylindrical shell.     

复合材料机身结构声学特性及影响参数分析

针对复合材料(以下简称"复材")结构进行声振分析,通过无限大障板理论和波动方程,分析复材平板和曲板结构的传声损失,并利用统计能量法分析壁板的隔声性能,与文献中的实验结果进行对比,验证建模的有效性。然后将复合材料机身结构等效成一个复材圆柱壳体结构,分析不同参数,包括压差、曲率半径、长度、铺层角度、纤维材料、加筋等对结构隔声性能的影响。最后与金属机身结构进行隔声性能对比,发现:在环频率与吻合效应频率之间,金属机身结构的传声损失明显大于复材机身结构,而在吻合效应频率以上频段,由于复材结构的吻合效应频率向低频移动,其传声损失好于金属机身结构。     

Input-output gain of collective response in an uncoupled parallel array of saturating dynamical subsystems

We explore the collective response of an uncoupled parallel array of saturating dynamical subsystems to a noisy periodic or random signal. Numerical simulation results show that a parallel array of nonlinear saturating subsystems can enhance the signal transmission via tuning the internal noise intensity and increasing the array size. The input-output gain larger than unity, described by the signal-to-noise ratio for a periodic signal or the correlation coefficient for a random signal, is observed in a form of array stochastic resonance. This stochastic resonance phenomenon can be useful for practical information-processing systems.     

Evaluation of the errors in the measurements of silencer characteristics

This paper is concerned with an evaluation of the errors committed when measuring the transmission loss and the flow noise of silencers; these errors are mainly due to both source and end reflection. It is shown that in measuring the transmission loss, the direct method is more likely to give small errors than the substitution method. Yet whenever the substitution method is used special attention must be paid to the reflection coefficient toward the source. Moreover, it appears necessary to use rather long ducts in order to avoid the effects of axial resonances.     

Can a transmission coefficient be greater than unity?

In studying the sound transmission through panels, it is usual to consider a model based on an infinite panel. The sound transmission coefficient is defined as the ratio of transmitted power to incident power and must, therefore, be less than or equal to unity due to energy conservation. However, it is shown here that, for a finite panel, it is possible to find values of transmission coefficient that are greater than unity at certain frequencies due to the normalisation used for the incident power. This occurs at the fundamental resonance of the fluid-loaded panel. Example results are presented for a simple circular piston and then for a flexible rectangular panel and an explanation for this phenomenon is provided. In effect, the panel is excited by a sound field that is much larger than its own surface and attracts sound power from a wide region of the incident field. This result stands as an interesting test case for calculation methods where the occurrence of transmission coefficients greater than unity should not necessarily be seen as an error in the calculation.     

Comparison and application of the experimental methods for multi-layer prediction of acoustical properties of noise control materials in standing wave-duct systems

A comparison among the existing experimental methods used for measuring and predicting acoustical properties, such as absorption ratio and transmission loss, of noise control materials was accomplished in this paper. Four methods for absorption ratio and five methods for transmission loss, which can be generalized as standing wave ratio method, two-cavity method and two-load method, were performed in a special standing wave-duct with two configurations of two- and four-microphone holders and compared with the theoretical expressions in the literature. Conclusions were drawn that the standing wave ratio method with two and four-microphones was more reliable, faster, and easier to use for measuring absorption ratio and transmission loss, respectively. The two-cavity and two- load methods, which may be used to predict acoustical properties of an exceedingly thick sample or a multi-layered treatment consisting of variant materials, have different conditions of using limits. The two-cavity method, especially, can be easily conducted and is suitable for the materials with properties of symmetry and reciprocity. The two-load method, however, is more cumbersome to apply, due to the fact of its complex calibration and measurement procedure. Furthermore, some prediction examples for a set of multi-layered treatments of materials were executed by a newly proposed approach, so-called experimental hybrid multi-layer prediction. In view of applications, the works done in this paper may be directly applied in standing wave-duct systems or other noise control configurations to measure, predict and/or optimize their in situ designs.     

Auditory handicap of hearing impairment and the limited benefit of hearing aids

The aim of this article is to promote a better understanding of hearing impairment as a communicative handicap, primarily in noisy environments, and to explain by means of a quantitative model the essentially limited applicability of hearing aids. After data on the prevalence of hearing impairment and of auditory handicap have been reviewed, it is explained that every hearing loss for speech can be interpreted as the sum of a loss class A (attenuation), characterized by a reduction of the levels of both speech signal and noise, and a loss D (distortion), comparable with a decrease in speech-to-noise ratio. On the average, the hearing loss of class D (hearing loss in noise) appears to be about one-third (in decibels) of the total hearing loss (A + D, hearing loss in quiet). A hearing aid can compensate for class-A-hearing losses, giving difficulties primarily in quiet, but not for class-D hearing losses, giving difficulties primarily in noise. The latter class represents the first stage of auditory handicap, beginning at an average hearing loss of about 24 dB.     

Sound transmission through layered cylindrical shells with applied damping treatment

Sound transmission through closed circular cylindrical shells with unconstrained damping treatment and sandwich shells with constrained damping treatment is considered in an acoustoelastic formulation in which the full interaction between the structural vibration and the internal cavity pressure field are taken into account. Only the axisymmetric modes of vibration of the shell are considered in an initial formulation. The structural response and the sound transmission characteristics for an external random pressure field are computed through an efficient matrix inversion procedure. Results indicate insensitivity of noise reduction and structural response to variations in core parameters of the sandwich shell. The sandwich shell has better noise transmission characteristics in the higher frequency ranges as compared to an equivalent layered shell with unconstrained damping treatment.     

SOUND TRANSMISSION THROUGH PERIODICALLY STIFFENED CYLINDRICAL SHELLS

A relatively long circular cylindrical shell stiffened by periodically deployed stiffeners is found in many practical applications such as the aircraft fuselage. For the sound transmission analysis of such a system, not only structural interactions between the shell and stiffeners but also vibro-acoustic interactions between the structure and acoustic media have to be considered. By idealizing the system as an infinitely long cylinder subjected to a plane wave incidence, an exact solution is obtained for the first time for this type of problem. In the analysis, the solution is obtained in a series form by expanding the system responses in terms of the space harmonics of the stiffener spacing. Characteristics of the system responses and effects of important design parameters are studied using the transmission losses calculated from the analysis.     

同心壳层结构中超声速扩散辐射波的几何自由程

在局域热动平衡近似下,研究几何壳层结构所产生的腔体约束对辐射过程的影响.基于同心圆柱和同心圆球的壳夹层光输运模型,给出垂直于光子通路的谱辐射能流径向分布和平均能流公式,通过数值求解得到截面平均的壳层结构平均几何自由程,研究输运通道的径向光学厚度和几何结构对几何自由程的影响.由于球几何对光子的三维束缚,球壳层结构对辐射过程的影响比柱壳层更大,辐射过程必须根据实际几何构型和辐射通道的光学厚度予以几何自由程的修正.为方便使用,根据一定几何构型结合严格数值解给出了几何自由程的拟合公式.     

Intuitive understandings of negative bulk modulus of metamaterials composed of Helmholtz resonators

We present theoretical and experimental results to obtain an intuitive understanding of bulk modulus of metamaterials composed of Helmholtz resonators (HR). Using transmission line theory, we introduce an intuitive method to determine the frequency domain in which the negative bulk modulus appears. The results obtained by simulations and experiments are consistent with theoretical results found using transmission line theory. The results suggest that wider negative (BNG) areas of bulk modulus can be obtained using two HRs than one HR of the same total cavity volume.     

Material characterization of ER fluids at high frequency

In this paper, the material characterization of ER fluids at high frequencies is studied. To characterize the properties at high frequencies, an experimental apparatus is provided, based upon the wave transmission through ER fluids in the presence of electric field. Details of the experiment and how to extract the complex shear modulus of ER fluids are addressed. A moderate increase in the storage modulus and loss modulus was observed when the weight ratio of ER particles and the electric field were increased. The proposed method is a comprehensive material characterization of ER fluids in high frequencies for ER smart structures.     

Material property estimates from ultrasound attenuation in fibre suspensions

An investigation of a new method for measuring fibre material properties from ultrasonic attenuation in a dilute suspension of synthetic fibres of uniform geometry is presented. The method is based on inversely solving an ultrasound scattering and absorption model of suspended fibres in water for the material properties of the fibres. Experimental results were obtained from three suspensions of nylon 66 fibres each with different fibre diameters. A forward solution to the model with reference material values is compared to experimental data to verify the model’s behaviour. Estimates of the shear and Young’s modulus, the compressional wave velocity, Poisson’s ratio and loss tangent from nylon 66 fibres are compared to data available from other sources. Experimental data confirms that the model successfully predicts that the resonance features in the frequency response of the attenuation are a function of diameter. Consistent estimated values for the compressional wave velocity and the Poisson’s ratio were found to be difficult to obtain but in combination gave values of shear modulus within previously reported values and with low sensitivity to noise. Young’s modulus was underestimated by 54% but was consistent and had low sensitivity to noise. The underestimation is believed to be caused by the assumption of isotropic material used in the model. Additional tests on isotropic fibre would confirm this. Further analysis of the model sensitivity and the reasons for the resonance features are required.     

Propagation of quantum states of light through absorbing and amplifying media

We describe how quantum features of light fields become modified upon propagation through absorbing and amplifying media. Both absorption and amplification add noise to a beam of light. We examine the extent to which quantum features remain after this noise is added. We also examine the question of whether certain quantum states are more robust than others against degradation due to loss. Quantum states of this sort would constitute an important resource for use in quantum information processing. We quantify this thought by determining how the integration time required to achieve a specified signal-to-noise ratio increases in the presence of transmission losses. We find that under certain circumstances the required integration time increases more rapidly with transmission loss for measurement strategies based on coincidence detection of entangled photons than for strategies based on the properties of squeezed light.     

Capillarity driven instability of a soft solid

We report the observation of a Plateau instability in a thin filament of solid gel with a very small elastic modulus. A longitudinal undulation of the surface of the cylinder reduces its area thereby triggering capillary instability, but is counterbalanced by elastic forces following the deformation. This competition leads to a nontrivial instability threshold for a solid cylinder. The ratio of surface tension to elastic modulus defines a characteristic length scale. The onset of linear instability is when the radius of the cylinder is one-sixth of this length scale, in agreement with theory presented here.     

强激光加热旋转薄柱壳的参量选择分析

为了把激光加热静止圆柱壳的实验测量结果应用到旋转圆柱壳的激光参量估计中,研究了旋转圆柱壳的激光加热效率。用积分变换法得到了旋转圆柱壳的温度分布,分析了最大温升点相对激光峰值强度点的滞后现象。基于静止圆柱壳和薄壳假设,导出了旋转圆柱壳激光加热效率及估计辐照时间的表达式。对于旋转金属圆柱壳,最大温升点相对激光峰值强度点的滞后角和激光加热效率取决于无量纲参量DR(柱壳半径R与束斑半径r0之比)、DL(横向热扩散尺度4ατL与束斑半径r0之比)及DM(加热时间τL与柱壳旋转频率fR的乘积)。达到相同的最大温升时,旋转圆柱壳的激光辐照时间和静止圆柱壳的激光辐照时间之间存在与激光功率无关的非线性关系,而激光功率决定了所需的绝对激光辐照时间。     

Propagation of acoustic waves in a fluid-filled pipe with periodic elastic Helmholtz resonators

Helmholtz resonators are widely used to reduce noise in a fluid-filled pipe system. It is a challenge to obtain lowfrequency and broadband attenuation with a small sized cavity. In this paper, the propagation of acoustic waves in a fluid-filled pipe system with periodic elastic Helmholtz resonators is studied theoretically. The resonance frequency and sound transmission loss of one unit are analyzed to validate the correctness of simplified acoustic impedance. The band structure of infinite periodic cells and sound transmission loss of finite periodic cells are calculated by the transfer matrix method and finite element software. The effects of several parameters on band gap and sound transmission loss are probed.Further, the negative bulk modulus of periodic cells with elastic Helmholtz resonators is analyzed. Numerical results show that the acoustic propagation properties in the periodic pipe, such as low frequency, broadband sound transmission, can be improved.