The effect of pipe bend on low-frequency longitudinal mode guided wave propagation

The pipe bend significantly changes the propagation characteristics of guided wave,and makes the interpretation of the received signals difficult.Therefore,better understanding of guided wave propagating in bended pipe is essential for the inspection of pipeline comprising bends.First of all,the different features of dispersion curves derived with the semi-analytical finite element method for guided wave in bended pipes are summarized.Secondly,based on the dispersion curves for guided wave in bended pipes,experiments are performed to investigate the mode conversions of L(0,1) mode guided wave traveling through pipe bends.It is found that,except for the mode conversion from L(0,1) to F(1,1),the L(0,1) reflections of bends are also observed in some cases,which are proven to be the mode converted negative L(0,1)mode guided wave,and the negative L(0,1) mode guided wave becomes more obvious with the decrease of excitation frequency and bending radius.The findings of this paper will provide some insight for guided wave behavior in bended pipe,and generalize the application of guided wave inspection in practical pipelines.     

管道弯头对低频纵向导波传播特性影响分析

管道弯头显著改变了导波传播特性,影响了对检测信号的解读,研究弯头对导波传播特性的影响是实现复杂管道系统导波检测的基础。采用半解析有限元法计算弯管导波频散曲线,分析了弯管导波频散曲线所呈现的不同特征,并基于弯管导波频散曲线,以低频L(0,1)模态导波为研究对象,实验研究了低频L(0,1)模态导波通过管道弯头时的模态变换特征。研究结果发现,当L(0,1)模态导波通过管道弯头时,不仅会发生L(0,1)到F(1,1)的模态变换,还会模态变换出反向L(0,1)模态导波,即弯头反射现象,且随着激励频率的降低和弯头弯曲半径的减小,弯头反射现象愈发明显。研究结果将深化对弯管导波传播特性的认识,推动导波检测技术在复杂管道系统检测中的应用。      

Propagation phenomena of wideband guided waves in a bended pipe

Ultrasonic guided waves in pipes have been anticipated as a rapid screening technique for pipe inspection because of their long-range propagation due to low energy leakage. In this paper, the propagation phenomena of guided waves in a bended pipe were investigated using a wideband laser ultrasonic system. The laser ultrasonic system, together with wavelet transformation, is a powerful tool for observing the dispersive phenomena intrinsic to guided waves. Bended stainless steel (SUS304) pipes with 6-mm outer diameter and 1-mm wall thickness were used in the experiments. The bending angles of the pipes were set to 0 degrees (straight pipe), 10 degrees, 30 degrees, 60 degrees and 90 degrees. The radius of the bend was 12.5 mm in all the pipes. A Q-switched Nd:YAG laser was employed to generate the guided waves. The generated guided waves were detected with a heterodyne interferometer. The obtained time-domain signals and their wavelet coefficients indicated the following two conclusions: (1) The amplitude of the F(1,1) mode converted from the L(0,1) mode increased with the increase of the bending angle. (2) Mode conversions from the L(0,1) to F(1,1) modes and vice versa were clearly observed in the low-frequency range up to around 200 kHz.     

单模光纤中弯曲损耗的测试与分析

对单模光纤中弯曲损耗随弯曲半径(1～8 mm)和波长(1530～1565 nm)变化的实验进行了测试,结果显示弯曲损耗随弯曲半径和波长呈现振荡.理论分析表明由于光纤纤芯中的基模和在包层以及涂覆层中传播的Whispering-gallery模式之间的耦合,引起了弯曲损耗的振荡,理论分析结果和实验结果基本一致.     

Flow visualization of relaminarization phenomena in curved pipes and the related measurements

Flow visualization results for secondary flow phenomena at the exit of 90° and 180° bends and helically coiled pipes (1, 2 and 5 turns), (radius of curvatureR _c=381 mm, inside pipe diameterd=37.5 mm, curvature ratiod/2R _c=0.049) and in the downstream straight pipe (l/d=30) are presented to study the stabilizing (relaminarization) effect in curved pipes with fully developed entry turbulent air flow and the destabilizing (re-transition from laminar to turbulent flow) effect in the downstream straight region. The entry Reynolds numbers areRe=2200, 3200, 4300 and 5300). The related measurement results using a hot-film anemometer are presented for developing profiles of the time-mean streamwise velocity distribution and the axial turbulence intensity field in the 180° return bend and in the downstream straight pipe for Reynolds numbersRe=3200, 4300, 6300 and 8200. The time traces showing the output of the hot-film sensor are also presented for developing fluctuating velocity field in the 180° bend and in the downstream straight pipe for the same Reynolds number range. Some aspects of the relaminarization phenomena in curved pipes and the re-transition phenomena from laminar to turbulent flow in the downstream straight pipe are clarified by the present experimental investigation.     

Transmission of low-frequency internal sound through pipe walls

Transmission loss measurements are reported for long steel pipes of circular crosssection, with air inside and out, excited by internal sound. At low frequencies (wavelength greater than the pipe diameter), most of the radiated sound is accounted for by pipe bending waves. In order to approach the much higher transmission loss predicted for pure breathing motion of the pipe, bending waves must be suppressed; this has been achieved for a straight pipe by careful isolation. A sharp 90 bend in the pipe is shown to cause significant bending-wave excitation when plane waves are incident on the bend.     

Study on the bend characteristics of single mode-multimode-single mode optical fiber structure

In this paper, the bend characteristics of the single mode-multimode-single mode (SMS) fiber structure are experimentally investigated. SMS fiber structure is very sensitive to the bend. The central wavelength shifts to shorter wavelength with the increasing of fiber bend angle. The central wavelength shift changes with the changing of multimode fiber(MMF) bend section length. The shorter bend MMF has higher sensitivity to the bend angle.     

Arbitrary angle waveguide bends in two-dimensional photonic crystals

Arbitrary angle waveguide bends in two-dimensional photonic crystals are studied with modeling and calculation. The lattice orientation restriction to bending angles can be avoided by incorporating an annular air groove into the bending corner. Theoretical analysis shows that the sharp bends transmit guided lightwaves with a very slight difference of propagation properties between straight waveguides and bend sections. A transmission of larger than 90% with a bandwidth of wider than 52 nm is obtained in the vicinity of 1.55 μm for the sharp bends with bending angles from 0° to 165°.     

Guided waves dispersion equations for orthotropic multilayered pipes solved using standard finite elements code

The dispersion curves for hollow multilayered cylinders are prerequisites in any practical guided waves application on such structures. The equations for homogeneous isotropic materials have been established more than 120 years ago. The difficulties in finding numerical solutions to analytic expressions remain considerable, especially if the materials are orthotropic visco-elastic as in the composites used for pipes in the last decades. Among other numerical techniques, the semi-analytical finite elements method has proven its capability of solving this problem. Two possibilities exist to model a finite elements eigenvalue problem: a two-dimensional cross-section model of the pipe or a radial segment model, intersecting the layers between the inner and the outer radius of the pipe. The last possibility is here adopted and distinct differential problems are deduced for longitudinal L(0, n), torsional T(0, n) and flexural F(m, n) modes. Eigenvalue problems are deduced for the three modes classes, offering explicit forms of each coefficient for the matrices used in an available general purpose finite elements code. Comparisons with existing solutions for pipes filled with non-linear viscoelastic fluid or visco-elastic coatings as well as for a fully orthotropic hollow cylinder are all proving the reliability and ease of use of this method.     

Ka波段高功率斜角弯头的设计

介绍了一种基于准光技术的高功率斜角弯头的设计方法,可实现圆波导TE0m模式的高效转弯传输。使用模式变换器将工作模式TE0m转换成锥形高斯模,经过转弯后,锥形高斯模被重新转换成工作模式。这种锥形高斯模可以减少波束在镜面的衍射,从而实现工作模式的高效率转弯传输。基于这一方法,设计了工作在Ka波段、工作模式TE01的MW级波导斜角弯头。HFSS计算结果表明: 在8%的带宽内,传输效率大于98%。     

Simulation of guided waves in complex piping geometries using the elastodynamic finite integration technique

Although many technologies exist for inspecting piping systems, they are most successful on straight pipes and are often unable to accommodate the added complexities of pipe elbows, bends, twists, and branches, particularly if the region of interest is inaccessible. This paper presents a numerical technique based on the elastodynamic finite integration technique for simulating guided elastic wave propagation in piping systems. Comparisons show agreement between experimental and simulated data, and guided wave interaction with flaws, focusing, and propagation in pipe bends are presented. These examples demonstrate the ability of the simulation method to be used to study elastic wave propagation in piping systems which include three-dimensional pipe bends, and suggest its potential as a design tool for designing pipe inspection hardware and ultrasonic signal processing algorithms.     

过模同轴转弯波导的设计

介绍了一种过模同轴转弯波导的基本原理,分析了过模同轴波导基模实现高效率转弯传输的条件及转弯过程中的模式问题,设计了中心频率为4.0GHz、转弯角度为45°的过模同轴转弯波导。数值计算结果表明:过模同轴转弯波导在中心频率的基模传输效率大于99%,反射系数为0.04;在3.8~4.2GHz的频率范围内基模传输效率大于95%,反射系数小于0.22。该过模同轴转弯波导的转弯半径约80mm,具有转弯半径小、结构简单、转弯角度灵活的特点,且内部无介质支撑,适用于高功率微波馈线系统中过模同轴波导基模的转弯传输。     

Visible light transmission properties of double metal thin gold films with sub-wavelength hole arrays

The transmission spectrum of linearly polarized visible light through double metal thin films perforated with nano-hole arrays is investigated and simulated by using the three dimensional finite-difference time-domain method. The results show that the transmission spectra can be controlled by changing the longitudinal interval G between films and, their lateral displacements L_x and L_y, which are parallel and perpendicular to the polarization direction of the incident light, respectively. We have two important peaks (due to guided mode and SP mode) in these spectrums. The variation in longitudinal distance results a wavelength shift in guided mode peak of transmission spectrum while the wavelength of SP mode peak remains fixed. The lateral displacement L_x leads to the higher transmission of the guided mode peak, while the lateral displacement L_y suppresses the transmission of this peak. Here we try to discuss the physical explanations of these spectral behaviours by surface plasmon waves on the metal films and by using the concepts of surface plasma (SP) and guided modes in our double metal structure.     

Ultracompact waveguide bends with simple topology in two-dimensional photonic crystal slabs for optical communication wavelengths

Ultracompact waveguide bends with simple topology in two-dimensional photonic crystal slabs are proposed by using an annular air groove at the bend corner to improve transmissions of the bends. Analysis indicates that the guided light wave experiences a very slight difference of propagation properties between straight waveguides and bends (with 60 degrees and 120 degrees bending angles). Transmissions of more than 90% can be achieved in the 60 degrees and 120 degrees bends for light waves at 1.55 microm with bandwidths of 101 and 74 nm, respectively.     

Guided circumferential waves in orthotropic cylindrical curved plate and the mode conversion by the end-reflection

In ultrasonic nondestructive inspection of large-diameter pipes and curved plate, longitudinal cracks are detected more efficiently by using guided circumferential waves. In the present, the study of guided circumferential waves and their application in detecting longitudinal defect were relative adequate when pipe material is isotropic. Based on linear three-dimensional elasticity, an orthogonal polynomial series expansions approach is used for determining the guided circumferential waves dispersion curves in homogeneous infinitely long orthotropic hollow cylinders. Results are compared with those published earlier and with the finite element simulation to check up the accuracy and range of applicability of this polynomial approach. Through the analysis of the displacements distributions and finite element simulation, the mode conversion of guided circumferential waves by end-reflection in cylindrical curved plate is discovered.     

Phased array focusing with guided waves in a viscoelastic coated hollow cylinder

Guided wave phased array focusing has shown many advantages in long-range pipeline inspection, such as, longer inspection distance, greater wave penetration power and higher detection resolution. Viscoelastic coatings applied to a large percentage of pipes for protection purposes created some challenges in terms of focusing feasibility and inspection ability. Previous studies were all based on bare pipe models. In this work, guided wave phased array focusing in viscoelastic coated pipes is studied for the first time. Work was carried out with both numerical and experimental methods. A three-dimensional finite element model was developed for quantitatively and systematically modeling guided waves in pipes with different viscoelastic materials. A method of transforming measured coating properties to finite element method inputs was created in order to create a physically based model of guided waves in coated pipes. Guided wave focusing possibilities in viscoelastic coated pipes and the effects from coatings were comprehensively studied afterwards. A comparison of focusing and nonfocusing inspections was also studied quantitatively in coated pipe showing that focusing increased the wave energy and consequently the inspection ability tremendously. This study provides an important base line and guidance for guided wave propagation and focusing in a real field pipeline under various coating and environmental conditions.     

具有同轴结构的高功率微波弯曲波导设计

 基于模式耦合理论,在理论推导出弯曲同轴波导TEM模和同轴TE11模之间耦合系数显式表达的基础上,报道了可传输同轴TE11模的弯曲同轴波导的设计方法和计算结果,并进行了实例研究。数值仿真结果表明：设计的具有同轴结构的弯曲波导,利用不同的同轴空间,在P,L,S波段中心频率0.680,1.575和3.75 GHz处TE11模单模传输效率超过了99.5%,单模传输效率超过90%的工作带宽分别为0.60～0.83,1.10～2.42和3.10～4.16 GHz。该结构的功率容量在各频段均达到了GW量级。     

Acoustic characteristics of circular bends in pipes

The acoustic properties of circular bends in pipework systems are investigated by calculation of the mode shapes and propagation constants of the acoustic modes of the bend, the torus modes, and by evaluation of the transmission and reflection coefficients at a bend in an otherwise infinite straight pipe. The coefficients for the first three cylinder and torus modes are plotted against frequency for the case of a plane wave incident upon a 90° bend. The pipe walls are assumed to be rigid.     

无限液体介质内管道轴对称纵向导波激发与传播特性研究

利用声-结构耦合有限元法,分别对轴对称分布径的向及轴向外力作用在无限液体介质内未充液及充液管道内壁所激发导波进行了模拟,并进一步利用短时傅里叶变换技术对瞬态波形作时频分析,在此基础上,结合色散及衰减曲线,探讨了外力分布特征对导波激发的影响。研究表明,无限液体介质内未充液管中L(0,2)模式及充液管中L(0,3)~L(0,4)模式皆具有高群速度、弱色散且弱衰减频带,适宜用于缺陷探测,而通过控制轴对称分布外力的频率,并令其沿轴向作用于管内壁或外壁,可实现上述导波模式的高效激发。      

Analysis of groove NRD waveguide bend using the coupled-mode theory

In this paper, the propagation characteristics of the dominant mode in GNRD guide bend are analysed employing the coupled-mode theory. The curves of bending loss vs. The groove depth or width, radius of curvature and frequency are given, which caused by the mode conversion of the operatingLSM ₁₁ ^x mode to the parasiticLSE ₁₁ ^x mode. It is found that the groove depth has a great influence upon the bending loss than the other parameters. According to the theoretical results, appropriate sizes of groove and radius of curvature should be chosen in designing a GNRD bend structure.