Wave MotionPub Date : 2024-02-28DOI: 10.1016/j.wavemoti.2024.103309
Xinyi Yuan , Weibin Li , Mingxi Deng
{"title":"Propagation characteristics of circumferential feature guided waves propagation in a revolved topological waveguide","authors":"Xinyi Yuan , Weibin Li , Mingxi Deng","doi":"10.1016/j.wavemoti.2024.103309","DOIUrl":"10.1016/j.wavemoti.2024.103309","url":null,"abstract":"<div><p>In our previous research, propagation characteristics and combined harmonic generation of feature guided waves (FGWs) in welded joints of plate structure, were analyzed theoretically and observed numerically. Circumferential ultrasonic guided waves find extensive applications in assessing rotating structures, highlighting the importance of investigating the propagation characteristics of circumferential feature guided waves (CFGWs) in such revolved topological waveguides. In this study, propagation characteristics of CFGW in revolved topological waveguides are investigated. Semi-analytical finite element (SAFE) method in conjunction with a perfectly matched layer (PML) within a cylindrical coordinate system is used to explore the modal and dispersion characteristics of CFGWs. Second-harmonic generation (SHG) of CFGWs is further analyzed and discussed both in theoretical and numerical manner. Cumulative SHG of selected CFGW mode pairs, propagation in the welded joint of the revolved topological waveguide, is observed successfully. The obtained results demonstrate that the energy trapping effect of CFGWs in the welded joint of revolved topological waveguide amplifies the generation of cumulative second harmonics, thereby enhancing the measurability of SHG of CFGW. This investigation reveals the potential of damage assessment in revolved topological waveguides by CFGWs.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140005025","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Wave MotionPub Date : 2024-02-28DOI: 10.1016/j.wavemoti.2024.103308
Yijia Liu , Zhiyuan Xue , Lihua Wang , Wahab Magd Abdel
{"title":"A gradient reproducing kernel based stabilized collocation method for the 5th order Korteweg–de Vries equations","authors":"Yijia Liu , Zhiyuan Xue , Lihua Wang , Wahab Magd Abdel","doi":"10.1016/j.wavemoti.2024.103308","DOIUrl":"10.1016/j.wavemoti.2024.103308","url":null,"abstract":"<div><p>This paper presents a gradient reproducing kernel based stabilized collocation method (GRK-SCM) to solve the generalized nonlinear 5th order Korteweg–de Vries (KdV) equations. By introducing gradient reproducing kernel (GRK) approximations, one can circumvent the intricacy of high-order derivatives in RK approximations, while still satisfying high-order consistency requirements. This leads to the high accuracy and efficiency. GRKs are very good approximation candidates for addressing high order partial differential equations that require higher order derivatives formulated as strong form. The stabilized collocation method (SCM) effectively meets high-order integration constraints which can achieve accurate integration in the subdomains. This ensures both high precision and optimal convergence. Von Neumann analysis is utilized to establish the stability criteria for GRK-SCM when combined with forward difference temporal discretization. Numerical solutions for Sawada–Kotera (SK) equation and Kaup-Kupershmidt (KK) equation are studied where the solitary wave migration and collision, and periodic waves are represented. A fifth order forced KdV equation is also considered. The presented method's high accuracy and convergence are demonstrated through comparative studies with analytical solutions, and investigations of invariants and corresponding errors determine the good conservation properties of this algorithm.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140005861","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Transmission of Lamb wave in a micro-mechanically piezoelectric fiber-reinforced composite plate","authors":"Richa Kumari , Abhishek Kr. Singh , Santan Kumar , Sayantan Guha","doi":"10.1016/j.wavemoti.2024.103307","DOIUrl":"10.1016/j.wavemoti.2024.103307","url":null,"abstract":"<div><p>The present work addresses the propagation characteristics of Lamb wave in a piezoelectric fiber-reinforced composite material plate. The considered plate is micro-mechanically modeled using the analytical techniques of the Strength of Materials and Rule of Mixtures. Secular equations are deduced for symmetric and antisymmetric modes of Lamb wave by employing suitable boundary conditions. The data of two distinct PFRC materials are taken into account, viz. PZT-5A-epoxy and CdSe-epoxy with different fiber volume fractions to investigate the latent characteristics of Lamb wave propagation. The amplitudes of dilatation and electrical potential of considered material are examined numerically and manifested graphically for both kinds of modes, i.e., symmetric and antisymmetric modes. The obtained graphical results are also compared for both kinds of modes. A comparative study has been carried out to exhibit the concealed characteristics of Lamb wave propagation for various distinct cases of considered structure for both symmetric and antisymmetric modes. The determined analytical results are in well agreement with the results present in the existing literature.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140005873","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Wave MotionPub Date : 2024-02-24DOI: 10.1016/j.wavemoti.2024.103305
Jiaxi Yue , Xiaofeng Zhang
{"title":"Study of the acoustic scattering characteristics of a rigid sphere in a vortex acoustic field","authors":"Jiaxi Yue , Xiaofeng Zhang","doi":"10.1016/j.wavemoti.2024.103305","DOIUrl":"10.1016/j.wavemoti.2024.103305","url":null,"abstract":"<div><p>This paper investigates the scattering sound field of a rigid sphere positioned in a vortex beam generated by a phase-modulated circular transducer array. The effects of the dimensionless parameter <em>ka</em>, the number of array elements, the topological charge, the radius of the transducer array, the distance between the array and the sphere, and its offset position on the scattering sound field distribution of a sphere are studied. Simulation results show that as the <em>ka</em> increases, the incident wave intensity and the scattering sound field of a rigid sphere increase, and the angle between the two main lobes decreases. Once <em>ka</em> is determined, the number of the array elements has no effect on the scattering pattern. However, the topological charge of the vortex beam has greater effect on the scattering sound field. As the topological charge increases, the incident wave intensity decreases, but the angle between two main lobes of the scattering field increases. The radius of the array has an effect on the intensity of the scattering field and the larger the radius, the larger the area of low intensity radiation between the two main lobes. In addition, the distance between the sphere and the array has a weak effect on the scattering pattern when it exceeds a certain value. For an off-axis sphere, the scattering pattern becomes more complex as the topological charge changes. These results can be used to adjust the constituent factors of the transducer array and to investigate the advantages of the vortex beam for underwater target detection.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140005874","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Wave MotionPub Date : 2024-02-24DOI: 10.1016/j.wavemoti.2024.103299
Xin L. Tu , Jie Zhang , Alberto M. Gambaruto , Paul D. Wilcox
{"title":"A framework for computing directivities for ultrasonic sources in generally anisotropic, multi-layered media","authors":"Xin L. Tu , Jie Zhang , Alberto M. Gambaruto , Paul D. Wilcox","doi":"10.1016/j.wavemoti.2024.103299","DOIUrl":"https://doi.org/10.1016/j.wavemoti.2024.103299","url":null,"abstract":"<div><p>The knowledge of the directivity of ultrasonic sources is an important element in the design of non-destructive evaluation inspection. The commonly used directivity model of piezoelectric devices is the superposition of out-of-plane force monopoles on the stress-free surface of an isotropic elastic half-space. However, this does not cover a growing range of ultrasonic generation scenarios, as new ultrasonic technologies such as laser ultrasound (LU) emerges, and the need for inspection of materials such as carbon fibre reinforced polymers (CFRPs) rises. A directivity calculation framework based on the reciprocity theorem is developed in the current paper, which accommodates various combinations of source types, material properties, and boundary conditions, for example, a localised heating under a surface layer over an anisotropic half-space. The calculation is applicable to materials with weak anisotropy or wave modes that do not have cuspoidal wavefronts, and was validated with finite element models on key representative cases. The analytical solution for LU excitation in a CFRP sample also shows a good fit to the experimentally measured directivity of the quasi-longitudinal wave mode.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0165212524000295/pdfft?md5=54b78483491b7a52e471f8955e2135f4&pid=1-s2.0-S0165212524000295-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139985997","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Wave MotionPub Date : 2024-02-24DOI: 10.1016/j.wavemoti.2024.103303
Fang Yang , Jin-Shui Yang , Yi Wang , Shuang Li , Yong-Yao Chen
{"title":"Low frequency bandgap characteristics of a 3D chiral acoustic metamaterial structure","authors":"Fang Yang , Jin-Shui Yang , Yi Wang , Shuang Li , Yong-Yao Chen","doi":"10.1016/j.wavemoti.2024.103303","DOIUrl":"https://doi.org/10.1016/j.wavemoti.2024.103303","url":null,"abstract":"<div><p>It has been proved that bandgaps in acoustic metamaterials can block elastic waves in certain frequencies, which offer an unprecedented solution to the low-frequency vibration control. However, there are still challenges of low bandgap frequencies and wide bandwidth. Meanwhile, chirality breaks the symmetry of the structures, which could also contribute to the formation of bandgaps in acoustic metamaterials. Based on research background mentioned above, this work proposes a type of novel 3D chiral acoustic metamaterial structures. The dispersion relations are investigated by using the Bloch's theorem. Then, the specimens are fabricated by 3D printing combined with glue processing. A series of tests is carried out to study their vibration characteristics. It is shown that the simulated results of the structures are in good agreement with experimental results, which verified the validity of the numerical models. The dispersion relations and corresponding frequency-response curves are plotted. After embedding fillers, the bandgaps of structures decrease about 62.4 % and total bandwidth decrease about 46.5 %. In addition, the regularity of bandgaps in structures with different parameters are analyzed and the structure optimized accordingly shows good vibration reduction performance in low-frequencies. This work can provide a new possibility for engineering application in the field of vibration and noise control.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139999611","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Wave MotionPub Date : 2024-02-23DOI: 10.1016/j.wavemoti.2024.103302
Brahim Lemkalli , Muamer Kadic , Youssef El Badri , Sébastien Guenneau , Abdellah Mir , Younes Achaoui
{"title":"The emergence of low-frequency dual Fano resonances in chiral twisting metamaterials","authors":"Brahim Lemkalli , Muamer Kadic , Youssef El Badri , Sébastien Guenneau , Abdellah Mir , Younes Achaoui","doi":"10.1016/j.wavemoti.2024.103302","DOIUrl":"https://doi.org/10.1016/j.wavemoti.2024.103302","url":null,"abstract":"<div><p>We describe innovative designs of chiral mechanical metamaterials with a twist feature that induces Fano-resonances with a relatively high quality factor. Through a finite element analysis, we delineate the phononic dispersion curves and transmission responses provided by a syndiotactic symmetry configuration, which we contrast to the ones of homogeneous medium, isotactic nonchiral, and isotactic chiral beams. We demonstrate that the beam with the chiral syndiotactic cell based on the two octagonal plates exhibits dual Fano resonances at low frequencies. Finally, we explore the prospect of applying syndiotactic beam metamaterials as temperature sensors with significant sensitivity and quality factors for the proposed size at the vicinity of frequencies investigated. The dissipation effects influencing the acoustic wave attenuation in both solids and liquids, which may result in a decrease in the quality factors, are appropriately accounted for.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139942606","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Wave MotionPub Date : 2024-02-23DOI: 10.1016/j.wavemoti.2024.103301
Sergey Gavrilyuk , Bruno Lombard
{"title":"Double upscaling procedure for the Sine–Gordon equation with highly-oscillating coefficients: Homogenization and modulation equations","authors":"Sergey Gavrilyuk , Bruno Lombard","doi":"10.1016/j.wavemoti.2024.103301","DOIUrl":"https://doi.org/10.1016/j.wavemoti.2024.103301","url":null,"abstract":"<div><p>We study the sine-Gordon equation with <span><math><mi>h</mi></math></span>-periodic in space coefficients. Leading-order homogenization yields an effective sine-Gordon equation for which traveling wave periodic solutions of wavelength <span><math><mrow><mi>λ</mi><mo>≫</mo><mi>h</mi></mrow></math></span> can be determined. The periodic solutions are then modulated on a scale <span><math><mrow><mi>Λ</mi><mo>≫</mo><mi>λ</mi></mrow></math></span>. As we know, the corresponding Whitham equations are elliptic, which ensures that the periodic solution is unstable. However, the instability scenarios are not universal. In this paper, such scenarios are described both in the low and high energy regimes and for supersonic compared to the averaged sound speed case. In the low energy case the space derivatives of the solutions “explode” in finite time (a caustic appears), while in the high energy case the solutions grow at most linearly in time.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139942607","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Wave MotionPub Date : 2024-02-23DOI: 10.1016/j.wavemoti.2024.103304
Yicheng Yu, Anton Krynkin, Kirill V. Horoshenkov
{"title":"The effect of 3D surface roughness on acoustic wave propagation in a cylindrical waveguide","authors":"Yicheng Yu, Anton Krynkin, Kirill V. Horoshenkov","doi":"10.1016/j.wavemoti.2024.103304","DOIUrl":"10.1016/j.wavemoti.2024.103304","url":null,"abstract":"<div><p>This paper studies the acoustic wave scattering and attenuation in a cylindrical waveguide (pipe) with wall roughness varying along all three dimensions and roughness height smaller than the acoustic wavelength. Using the decomposition of the acoustic wave field into deterministic and random components, small perturbation method and Fourier transform the analytical solution of a 3-D averaged acoustic wave field is obtained. The correction term describing the mechanism of wave attenuation caused by roughness and determined by the modal cross-talk is also derived. The solution for the plane wave is validated in the frequency range extended well beyond the second cut-off frequency, where the crosstalk between the fundamental and non-axisymmetric modes are observed. The analytical solution is compared with the numerical results obtained with the Monte-Carlo method and Finite Element solver. The numerical study results have demonstrated a close agreement with the analytical solution for the averaged sound field, dispersion curves, and the wave attenuation effect expressed as the wavenumber correction term. A key novelty of this work is a comprehensive analysis of wave dispersion and cut-off frequency changes due to the presence of 3-D wall roughness in a pipe.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140005871","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Wave MotionPub Date : 2024-02-22DOI: 10.1016/j.wavemoti.2024.103300
Yuchen Zang
{"title":"Optical radiation force and torque of light-sheets on a cylindrical particle near an infinite boundary","authors":"Yuchen Zang","doi":"10.1016/j.wavemoti.2024.103300","DOIUrl":"10.1016/j.wavemoti.2024.103300","url":null,"abstract":"<div><p>This work aims to extend the previous studies on the optical radiation force and torque for a cylindrical dielectric particle to the case near an infinite boundary. Without loss of generality, the two-dimensional cylindrical object is assumed to have an arbitrary shape and be immersed in any light-sheet beam of arbitrary wave front. The partial-wave series expansion method in cylindrical coordinates and the method of images are utilized to derive the exact expressions for the axial and transverse radiation force and torque functions, which are dependent on the beam shape coefficients of the incident light-sheet and the scattering coefficients characterized by the boundary conditions at the surface. Numerical computations are performed for a circular cylindrical particle illuminated by a two-dimensional plane wave and a two-dimensional Gauss beam, respectively, with particular emphases on the size parameter, the refractive index, the particle-boundary distance, the beam waist and the offset shifts. The radiation force will increase in magnitude and reverse its direction under selected conditions. When the absorptive cylindrical particle is shifted off-axially with respect to the beam axis, it will be rotated counterclockwise or clockwise by the radiation torque. The results obtained in this work have potential applications in non-contact particle manipulation and transportation using optical tweezers.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139917980","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}