Pub Date : 2025-11-17DOI: 10.1016/j.wavemoti.2025.103676
Limu Qin , Jie Zhou , Gen Zhang , Yue Xu , Chenhao Wu , Wen He
The vibrating liquid column calibration method (VLCCM) constitutes a critical calibration technique for low-frequency hydrophones, where its acoustic field analytical solution (AFAS) underpins primary calibration accuracy. Current international standards derive the VLCCM's AFAS from the Helmholtz equation under rigid boundary conditions. However, these boundary conditions cannot be fully realized in practice, inducing significant deviations in primary calibration results. In this scenario, the acoustic field numerical solutions for vibrating liquid columns under rigid and elastic boundary conditions are calculated by finite element method in this paper, and the discrepancies between numerical and analytical solutions are quantified to characterize acoustic field distribution. Specifically, the resonance and radial uniformity conditions across boundary constraints are investigated, and quantitative indicators such as sound pressure minimum deviation frequency, liquid column-to-vessel height ratio, and radius-to-wall thickness ratio are introduced to systematically analyze the differences between analytical and numerical solutions and establish dimensional design constraints for VLCCM systems.
{"title":"Study on acoustic elasticity of vibrating liquid column used for hydrophone calibration","authors":"Limu Qin , Jie Zhou , Gen Zhang , Yue Xu , Chenhao Wu , Wen He","doi":"10.1016/j.wavemoti.2025.103676","DOIUrl":"10.1016/j.wavemoti.2025.103676","url":null,"abstract":"<div><div>The vibrating liquid column calibration method (VLCCM) constitutes a critical calibration technique for low-frequency hydrophones, where its acoustic field analytical solution (AFAS) underpins primary calibration accuracy. Current international standards derive the VLCCM's AFAS from the Helmholtz equation under rigid boundary conditions. However, these boundary conditions cannot be fully realized in practice, inducing significant deviations in primary calibration results. In this scenario, the acoustic field numerical solutions for vibrating liquid columns under rigid and elastic boundary conditions are calculated by finite element method in this paper, and the discrepancies between numerical and analytical solutions are quantified to characterize acoustic field distribution. Specifically, the resonance and radial uniformity conditions across boundary constraints are investigated, and quantitative indicators such as sound pressure minimum deviation frequency, liquid column-to-vessel height ratio, and radius-to-wall thickness ratio are introduced to systematically analyze the differences between analytical and numerical solutions and establish dimensional design constraints for VLCCM systems.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"141 ","pages":"Article 103676"},"PeriodicalIF":2.5,"publicationDate":"2025-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145623931","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}
Pub Date : 2025-11-15DOI: 10.1016/j.wavemoti.2025.103675
Marcelo V. Flamarion , Jimmie Adriazola
In this work, we investigate the stability of hydroelastic periodic traveling waves within a Whitham-type equation framework. The Whitham equation is well known in the literature as a relatively simple model that nevertheless captures rich nonlinear phenomena such as short waves and breaking. Periodic traveling waves are computed numerically, and their stability is analyzed by evaluating the spectrum via the Fourier–Floquet–Hill method. We show that for small values of the flexural rigidity coefficient, small-amplitude periodic traveling waves are unstable; however, as the amplitude increases beyond a critical threshold, we first observe stabilization (not complete); subsequently, the spectrum bifurcates, and the traveling waves become increasingly unstable. In contrast, when the flexural rigidity coefficient is large, periodic traveling waves remain stable for all amplitudes. For moderate elasticity, two scenarios may occur: either (i) the maximal instability growth rate exhibits a monotonic dependence on the wave height, or (ii) complete stabilization is achieved for sufficiently large heights within numerical tolerance.
{"title":"Stability of periodic traveling waves for the hydroelastic Whitham equation","authors":"Marcelo V. Flamarion , Jimmie Adriazola","doi":"10.1016/j.wavemoti.2025.103675","DOIUrl":"10.1016/j.wavemoti.2025.103675","url":null,"abstract":"<div><div>In this work, we investigate the stability of hydroelastic periodic traveling waves within a Whitham-type equation framework. The Whitham equation is well known in the literature as a relatively simple model that nevertheless captures rich nonlinear phenomena such as short waves and breaking. Periodic traveling waves are computed numerically, and their stability is analyzed by evaluating the spectrum via the Fourier–Floquet–Hill method. We show that for small values of the flexural rigidity coefficient, small-amplitude periodic traveling waves are unstable; however, as the amplitude increases beyond a critical threshold, we first observe stabilization (not complete); subsequently, the spectrum bifurcates, and the traveling waves become increasingly unstable. In contrast, when the flexural rigidity coefficient is large, periodic traveling waves remain stable for all amplitudes. For moderate elasticity, two scenarios may occur: either (i) the maximal instability growth rate exhibits a monotonic dependence on the wave height, or (ii) complete stabilization is achieved for sufficiently large heights within numerical tolerance.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"141 ","pages":"Article 103675"},"PeriodicalIF":2.5,"publicationDate":"2025-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145579340","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}
Pub Date : 2025-11-14DOI: 10.1016/j.wavemoti.2025.103674
M.B.M. Sales , M.C.P. Dos Santos , C.B.F. Gomes , I.F. Chagas , F.N. Pereira , E.J.P. Miranda Jr.
This work aimed to investigate the influence of mass spatial distribution of 3D resonator on the formation of attenuation zones in elastic metamaterial (EM) thin plates, considering bending vibrations and maintaining constant mass, volume, and density. The mass distribution in real systems can be more accurately represented through 3D resonators, enabling the use of geometric parameters to improve vibration and wave control. The investigation was conducted using the finite element method (FEM). The attenuation zones were identified through dispersion diagrams, , considering the influence of transverse waves via the polarization factor, which is consistent with the frequency response function (FRF). A supercell approach was employed to represent the combination of different geometries, mass distributions, and parameter progressions. The midgap frequency and bandwidth of attenuation zones proved to be highly sensitive to 3D resonator geometry, even under constant mass conditions, due to the influence of mass spatial distribution, which affected both the stiffness and the moment of inertia. A trade-off was identified between lowering the midgap frequency and narrowing the bandwidth, which was overcome by increasing the resonator width. The progression of geometric parameters and the combination of different geometries enabled simultaneous reduction of the midgap frequency and expansion of the bandwidth, resulting in up to five distinct attenuation zones. Thus, geometric adjustments allow vibrational performance improvements without increasing mass, manufacturing time, or structural cost. This approach simplifies the fabrication of 3D resonators and offers a lighter alternative with improved dynamic performance, establishing a viable solution for 3D printing applied to vibration control in engineering applications.
{"title":"Generation of multiple bending wave and vibration attenuation zones by constant-mass spatial distribution of 3D resonators in elastic metamaterial thin plates","authors":"M.B.M. Sales , M.C.P. Dos Santos , C.B.F. Gomes , I.F. Chagas , F.N. Pereira , E.J.P. Miranda Jr.","doi":"10.1016/j.wavemoti.2025.103674","DOIUrl":"10.1016/j.wavemoti.2025.103674","url":null,"abstract":"<div><div>This work aimed to investigate the influence of mass spatial distribution of 3D resonator on the formation of attenuation zones in elastic metamaterial (EM) thin plates, considering bending vibrations and maintaining constant mass, volume, and density. The mass distribution in real systems can be more accurately represented through 3D resonators, enabling the use of geometric parameters to improve vibration and wave control. The investigation was conducted using the finite element method (FEM). The attenuation zones were identified through dispersion diagrams, <span><math><mrow><mi>ω</mi><mrow><mo>(</mo><mi>k</mi><mo>)</mo></mrow></mrow></math></span>, considering the influence of transverse waves via the polarization factor, which is consistent with the frequency response function (FRF). A supercell approach was employed to represent the combination of different geometries, mass distributions, and parameter progressions. The midgap frequency and bandwidth of attenuation zones proved to be highly sensitive to 3D resonator geometry, even under constant mass conditions, due to the influence of mass spatial distribution, which affected both the stiffness and the moment of inertia. A trade-off was identified between lowering the midgap frequency and narrowing the bandwidth, which was overcome by increasing the resonator width. The progression of geometric parameters and the combination of different geometries enabled simultaneous reduction of the midgap frequency and expansion of the bandwidth, resulting in up to five distinct attenuation zones. Thus, geometric adjustments allow vibrational performance improvements without increasing mass, manufacturing time, or structural cost. This approach simplifies the fabrication of 3D resonators and offers a lighter alternative with improved dynamic performance, establishing a viable solution for 3D printing applied to vibration control in engineering applications.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"141 ","pages":"Article 103674"},"PeriodicalIF":2.5,"publicationDate":"2025-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145579341","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}
Pub Date : 2025-11-13DOI: 10.1016/j.wavemoti.2025.103671
Debraj Giri, A.K. Dhar
In this paper linear shear current modified nonlinear Schrödinger (NLS) equation for surface capillary wavetrain has been employed to investigate the modulational instability (MI) and bifurcation of two-dimensional Stokes wavetrain on water of finite depth. Herein, linear shear currents are considered to be a linear combination of constant vorticity and depth uniform current. It is observed that shear currents for finite water depth considerably modify the instability properties of weakly nonlinear Stokes wavetrain. The instability analysis to oblique perturbations on infinite depth of water has been made, showing that the dominant MI is two-dimensional whatever the values of the vorticity. Near the minimum of wave speed it is exhibited that generalized capillary solitary wavetrains bifurcate from pure capillary Stokes wavetrains for positive vorticity. The results shed some lights on the effects of wind forcing and dissipation on the MI. Moreover, the effects of both vorticity and depth uniform currents on the Peregrine breather which can be regarded as the prototype of rogue waves is investigated.
{"title":"Nonlinear modulation of capillary waves on linear shear flows in finite depth","authors":"Debraj Giri, A.K. Dhar","doi":"10.1016/j.wavemoti.2025.103671","DOIUrl":"10.1016/j.wavemoti.2025.103671","url":null,"abstract":"<div><div>In this paper linear shear current modified nonlinear Schrödinger (NLS) equation for surface capillary wavetrain has been employed to investigate the modulational instability (MI) and bifurcation of two-dimensional Stokes wavetrain on water of finite depth. Herein, linear shear currents are considered to be a linear combination of constant vorticity and depth uniform current. It is observed that shear currents for finite water depth considerably modify the instability properties of weakly nonlinear Stokes wavetrain. The instability analysis to oblique perturbations on infinite depth of water has been made, showing that the dominant MI is two-dimensional whatever the values of the vorticity. Near the minimum of wave speed it is exhibited that generalized capillary solitary wavetrains bifurcate from pure capillary Stokes wavetrains for positive vorticity. The results shed some lights on the effects of wind forcing and dissipation on the MI. Moreover, the effects of both vorticity and depth uniform currents on the Peregrine breather which can be regarded as the prototype of rogue waves is investigated.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"141 ","pages":"Article 103671"},"PeriodicalIF":2.5,"publicationDate":"2025-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145528919","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}
Pub Date : 2025-11-12DOI: 10.1016/j.wavemoti.2025.103673
Leonel Quinteros , Viviana Meruane , Erick I. Saavedra Flores
Phononic crystals (PnCs) are distinguished by their exceptional ability to control the propagation of elastic and acoustic waves in a medium, resulting in the attenuation of wave propagation within specific frequency ranges known as band gaps. This property enables promising engineering applications as metamaterials in fields such as seismic engineering, piezoelectric control, sensing, and sound absorption. Although significant efforts have been made to optimise the design of these metamaterials to maximise band gap width, the relationship between band gap location, size, and scaling laws has not been explicitly established. In this work, we investigate the relationship between band gap frequency, width, and structural scaling. We analyse PnCs from the literature with optimised band gaps, incorporating different types of finite elements, such as truss, beam, and two-dimensional elements, to enhance the scalability analysis. The case studies include three unit cell types: truss-like lattices, two-dimensional plates, and sandwich panels. The results demonstrate a consistent inverse proportionality between band gap frequency and length scale across all studied cases, providing a straightforward scalability rule. Additionally, the study highlights that deviations from strict geometric similarity, often required due to manufacturing constraints or geometric limitations, result in predictable yet non-linear variations in relative band gap properties. Understanding these deviations is crucial for realistic design scenarios, enabling designers to leverage pre-optimised structures effectively, reducing computational effort, and supporting practical applications of phononic metamaterials.
{"title":"Band gap scalability in optimised phononic crystals","authors":"Leonel Quinteros , Viviana Meruane , Erick I. Saavedra Flores","doi":"10.1016/j.wavemoti.2025.103673","DOIUrl":"10.1016/j.wavemoti.2025.103673","url":null,"abstract":"<div><div>Phononic crystals (PnCs) are distinguished by their exceptional ability to control the propagation of elastic and acoustic waves in a medium, resulting in the attenuation of wave propagation within specific frequency ranges known as band gaps. This property enables promising engineering applications as metamaterials in fields such as seismic engineering, piezoelectric control, sensing, and sound absorption. Although significant efforts have been made to optimise the design of these metamaterials to maximise band gap width, the relationship between band gap location, size, and scaling laws has not been explicitly established. In this work, we investigate the relationship between band gap frequency, width, and structural scaling. We analyse PnCs from the literature with optimised band gaps, incorporating different types of finite elements, such as truss, beam, and two-dimensional elements, to enhance the scalability analysis. The case studies include three unit cell types: truss-like lattices, two-dimensional plates, and sandwich panels. The results demonstrate a consistent inverse proportionality between band gap frequency and length scale across all studied cases, providing a straightforward scalability rule. Additionally, the study highlights that deviations from strict geometric similarity, often required due to manufacturing constraints or geometric limitations, result in predictable yet non-linear variations in relative band gap properties. Understanding these deviations is crucial for realistic design scenarios, enabling designers to leverage pre-optimised structures effectively, reducing computational effort, and supporting practical applications of phononic metamaterials.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"141 ","pages":"Article 103673"},"PeriodicalIF":2.5,"publicationDate":"2025-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145528917","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}
Pub Date : 2025-11-08DOI: 10.1016/j.wavemoti.2025.103672
Qing-Dong Hong , Lei Yang , Rui-Lin Liu , Shu-Ya Jin , Ya-Xian Fan , Zhi-Yong Tao
We propose a kind of quasi-periodic structures to manipulate water waves for ocean engineering and discover a surface water wave interface state induced by a Fibonacci quasi-periodic mirror-symmetric structure on the channel sidewalls. The fifth-generation Fibonacci quasi-periodic structure provides a forbidden band for water surface waves, where the mirror-symmetry leads to an additional transmission of interface states. The interface states are characterized by two regions with opposite polarities with the maximum spatial intensity distribution localized at the mirror junction. Furthermore, by varying the separation distance at the mirror junction, we achieve the tunable control of the interface state center frequency, and the numerical simulations are validated through experimental measurements. The proposed quasi-periodic mirror-symmetric structure enriches the methods of wave control engineering and can find applications in marine energy harvesting, coastal protection, reef construction, and navigation safety.
{"title":"Interface states of surface water waves based on Fibonacci corrugations with mirror symmetry","authors":"Qing-Dong Hong , Lei Yang , Rui-Lin Liu , Shu-Ya Jin , Ya-Xian Fan , Zhi-Yong Tao","doi":"10.1016/j.wavemoti.2025.103672","DOIUrl":"10.1016/j.wavemoti.2025.103672","url":null,"abstract":"<div><div>We propose a kind of quasi-periodic structures to manipulate water waves for ocean engineering and discover a surface water wave interface state induced by a Fibonacci quasi-periodic mirror-symmetric structure on the channel sidewalls. The fifth-generation Fibonacci quasi-periodic structure provides a forbidden band for water surface waves, where the mirror-symmetry leads to an additional transmission of interface states. The interface states are characterized by two regions with opposite polarities with the maximum spatial intensity distribution localized at the mirror junction. Furthermore, by varying the separation distance at the mirror junction, we achieve the tunable control of the interface state center frequency, and the numerical simulations are validated through experimental measurements. The proposed quasi-periodic mirror-symmetric structure enriches the methods of wave control engineering and can find applications in marine energy harvesting, coastal protection, reef construction, and navigation safety.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"141 ","pages":"Article 103672"},"PeriodicalIF":2.5,"publicationDate":"2025-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145528918","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}
Pub Date : 2025-11-07DOI: 10.1016/j.wavemoti.2025.103670
Bingkai Han, Wei Ouyang, Qianru Xu, Shaokang Yang, Weijian Mao
True-amplitude migration is essential for quantitative seismic imaging because it preserves the amplitude information required for reliable inversion and interpretation. Ray-theoretical formulations, beginning with asymptotic linearized inversion, establish migration as the adjoint of the Born operator and achieve amplitude fidelity through pseudo-differential analysis. In contrast, wave-equation-based methods such as reverse-time migration (RTM) are widely applied in practice, but their crosscorrelation implementations do not, in general, ensure amplitude correctness. This raises a fundamental question of consistency: under what conditions does RTM recover the same amplitude-correct image as asymptotic linearized inversion? In this study, we develop a unified framework for true-amplitude migration in acoustic media, valid in (). Using scattering-angle-domain decompositions of the Born operator, we analyze the stationary-phase structure of the single-scattering Hessian and construct a Beylkin-type migration operator within a least-squares framework. By explicit evaluating the Jacobian factors that map acquisition surface coordinates into angle-domain coordinates at the imaging point, and further examining the asymptotic behavior of forward- and backward-propagated wavefields, we demonstrate that angle-restricted RTM recovers the same true-amplitude scaling as the derived Beylkin-type operator. This result reconciles ray-theoretical and wave-equation-based perspectives, showing that amplitude corrections, traditionally associated with ray-based methods, can be systematically and naturally incorporated in RTM through geometrical-spreading analysis. Numerical demonstrations confirm that the proposed formulation yields angle-domain common image gathers with accurate amplitude behavior, validating the theoretical consistency and providing a robust foundation for amplitude-variation studies and quantitative inversion in complex acoustic media.
{"title":"Revisiting acoustic true-amplitude seismic imaging: Asymptotic linearized inversion, reverse-time migration, and their interrelations","authors":"Bingkai Han, Wei Ouyang, Qianru Xu, Shaokang Yang, Weijian Mao","doi":"10.1016/j.wavemoti.2025.103670","DOIUrl":"10.1016/j.wavemoti.2025.103670","url":null,"abstract":"<div><div>True-amplitude migration is essential for quantitative seismic imaging because it preserves the amplitude information required for reliable inversion and interpretation. Ray-theoretical formulations, beginning with asymptotic linearized inversion, establish migration as the adjoint of the Born operator and achieve amplitude fidelity through pseudo-differential analysis. In contrast, wave-equation-based methods such as reverse-time migration (RTM) are widely applied in practice, but their crosscorrelation implementations do not, in general, ensure amplitude correctness. This raises a fundamental question of consistency: under what conditions does RTM recover the same amplitude-correct image as asymptotic linearized inversion? In this study, we develop a unified framework for true-amplitude migration in acoustic media, valid in <span><math><msup><mrow><mi>R</mi></mrow><mrow><mi>n</mi></mrow></msup></math></span> (<span><math><mrow><mi>n</mi><mo>≥</mo><mn>2</mn></mrow></math></span>). Using scattering-angle-domain decompositions of the Born operator, we analyze the stationary-phase structure of the single-scattering Hessian and construct a Beylkin-type migration operator within a least-squares framework. By explicit evaluating the Jacobian factors that map acquisition surface coordinates into angle-domain coordinates at the imaging point, and further examining the asymptotic behavior of forward- and backward-propagated wavefields, we demonstrate that angle-restricted RTM recovers the same true-amplitude scaling as the derived Beylkin-type operator. This result reconciles ray-theoretical and wave-equation-based perspectives, showing that amplitude corrections, traditionally associated with ray-based methods, can be systematically and naturally incorporated in RTM through geometrical-spreading analysis. Numerical demonstrations confirm that the proposed formulation yields angle-domain common image gathers with accurate amplitude behavior, validating the theoretical consistency and providing a robust foundation for amplitude-variation studies and quantitative inversion in complex acoustic media.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"141 ","pages":"Article 103670"},"PeriodicalIF":2.5,"publicationDate":"2025-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145474745","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}
We study the scattering of elastic waves by a periodic array of cavities buried in an elastic half-space. This configuration is relevant in seismology, where shallow voids can locally amplify ground motion. Building on homogenized interface models developed for infinite media, we extend the approach to account for the presence of a stress-free surface. The resulting model yields an analytical solution to the 2D elastodynamic problem for incident longitudinal L and transverse T waves. A semi-analytical multimodal solution is used for validation. The analysis reveals the conditions under which resonances occur in the soil layer between the cavity tops and the surface, with particular emphasis on the low-frequency resonance that dominates in seismic contexts. The model identifies the key parameters governing resonance and provides insights into the transition from infinite to finite cavity arrays. It offers a simplified yet accurate framework for assessing site-specific seismic amplification.
{"title":"Seismic wave interaction with buried cavity networks: Analytical modeling and resonance effects","authors":"Agnès Maurel , Stéphane Brulé , Sébastien Guenneau , Kim Pham","doi":"10.1016/j.wavemoti.2025.103666","DOIUrl":"10.1016/j.wavemoti.2025.103666","url":null,"abstract":"<div><div>We study the scattering of elastic waves by a periodic array of cavities buried in an elastic half-space. This configuration is relevant in seismology, where shallow voids can locally amplify ground motion. Building on homogenized interface models developed for infinite media, we extend the approach to account for the presence of a stress-free surface. The resulting model yields an analytical solution to the 2D elastodynamic problem for incident longitudinal L and transverse T waves. A semi-analytical multimodal solution is used for validation. The analysis reveals the conditions under which resonances occur in the soil layer between the cavity tops and the surface, with particular emphasis on the low-frequency resonance that dominates in seismic contexts. The model identifies the key parameters governing resonance and provides insights into the transition from infinite to finite cavity arrays. It offers a simplified yet accurate framework for assessing site-specific seismic amplification.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"141 ","pages":"Article 103666"},"PeriodicalIF":2.5,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145425343","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}
Pub Date : 2025-10-31DOI: 10.1016/j.wavemoti.2025.103668
K.A. Lurie
The paper examines the propagation of unilateral waves through an assembly of two materials with different space- and time-dependent properties. The assembly is immovable and characterized by a checkerboard material geometry in space and time. For a special range of material and structural parameters, the checkerboard geometry secures spatiotemporal focusing of traveling waves into progressively compressing pulses accumulating their wave energy along the way.
{"title":"The mechanism of energy accumulation in dynamic pulses traveling through checkerboard material assembly in space-time","authors":"K.A. Lurie","doi":"10.1016/j.wavemoti.2025.103668","DOIUrl":"10.1016/j.wavemoti.2025.103668","url":null,"abstract":"<div><div>The paper examines the propagation of unilateral waves through an assembly of two materials with different space- and time-dependent properties. The assembly is immovable and characterized by a checkerboard material geometry in space and time. For a special range of material and structural parameters, the checkerboard geometry secures spatiotemporal focusing of traveling waves into progressively compressing pulses accumulating their wave energy along the way.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"141 ","pages":"Article 103668"},"PeriodicalIF":2.5,"publicationDate":"2025-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145474645","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}
Pub Date : 2025-10-28DOI: 10.1016/j.wavemoti.2025.103669
Yaru Suo , Xingming Guo , Zhaoyang Ma
A novel star-shaped metamaterial (SSM) is proposed to achieve simultaneous vibration isolation and energy absorption capabilities. The band structure of the proposed SSM is given based on the Floquet-Bloch theorem with boundary modes of each bandgap analyzed to understand the effects of each component of the unit cell on the bandgap formation. It is found that the SSM triggers monopole, dipolar and quadrupolar resonances to form locally resonant bandgaps and exhibit equivalent negative parametric characteristics. The SSM can generate the lowest bandgap frequency of 53.149 Hz and bandgaps (lower-frequency and broader bandgaps) are highly sensitive to geometric properties angle based on parametric analysis. Additionally, vibration isolation and energy absorption performance can be enhanced by introducing a gradient parameter with angle into the SSM structure. The design of the gradient structure breaks local symmetry, opening the Dirac points to generate a new bandgap. Furthermore, uniaxial compression induces different buckling deformation, enabling the gradient structure to achieve superior energy absorption performance under the same loading conditions. This study proposes a dual-functional SSM that integrates vibration isolation and energy absorption, providing a potential pathway for multifunctional metamaterial design.
{"title":"Dual-Functional Star-shaped Metamaterial for Simultaneous Vibration Isolation and Energy Absorption","authors":"Yaru Suo , Xingming Guo , Zhaoyang Ma","doi":"10.1016/j.wavemoti.2025.103669","DOIUrl":"10.1016/j.wavemoti.2025.103669","url":null,"abstract":"<div><div>A novel star-shaped metamaterial (SSM) is proposed to achieve simultaneous vibration isolation and energy absorption capabilities. The band structure of the proposed SSM is given based on the Floquet-Bloch theorem with boundary modes of each bandgap analyzed to understand the effects of each component of the unit cell on the bandgap formation. It is found that the SSM triggers monopole, dipolar and quadrupolar resonances to form locally resonant bandgaps and exhibit equivalent negative parametric characteristics. The SSM can generate the lowest bandgap frequency of 53.149 Hz and bandgaps (lower-frequency and broader bandgaps) are highly sensitive to geometric properties angle <span><math><mi>θ</mi></math></span> based on parametric analysis. Additionally, vibration isolation and energy absorption performance can be enhanced by introducing a gradient parameter with angle <span><math><mi>θ</mi></math></span> into the SSM structure. The design of the gradient structure breaks local symmetry, opening the Dirac points to generate a new bandgap. Furthermore, uniaxial compression induces different buckling deformation, enabling the gradient structure to achieve superior energy absorption performance under the same loading conditions. This study proposes a dual-functional SSM that integrates vibration isolation and energy absorption, providing a potential pathway for multifunctional metamaterial design.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"141 ","pages":"Article 103669"},"PeriodicalIF":2.5,"publicationDate":"2025-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145474644","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}
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