Pub Date : 2024-08-23DOI: 10.1007/s11012-024-01870-7
Ali Kibar, Kadri Suleyman Yigit
This study investigates the effect of radial hydraulic forces on low-specific-speed centrifugal pump bearings and assesses the effectiveness of the double-volute balancing technique in mitigating these forces. Numerical simulations were conducted on centrifugal pumps with both single- and double-volute designs. Experimental validation confirmed the numerical findings, establishing the technique's efficacy. Additionally, while size limitations often restrict the use of double-volutes in small pumps, their potential benefits and encouragement for further exploration are discussed for these applications, highlighting the significance of the double-volute arrangement in designing and operating high-pressure radial-flow centrifugal pumps. The simulations demonstrated a notable decrease in the radial hydraulic forces with the implementation of the double-volute configuration. Consequently, adopting a double-volute centrifugal pump design resulted in a substantial reduction in the impeller-induced forces and forces exerted on the bearings, leading to an approximate 45% decrease in the hydraulic radial forces. This result explains the significant reduction in impeller-induced and bearing forces.
{"title":"Investigation of double-volute balancing in centrifugal pumps","authors":"Ali Kibar, Kadri Suleyman Yigit","doi":"10.1007/s11012-024-01870-7","DOIUrl":"https://doi.org/10.1007/s11012-024-01870-7","url":null,"abstract":"<p>This study investigates the effect of radial hydraulic forces on low-specific-speed centrifugal pump bearings and assesses the effectiveness of the double-volute balancing technique in mitigating these forces. Numerical simulations were conducted on centrifugal pumps with both single- and double-volute designs. Experimental validation confirmed the numerical findings, establishing the technique's efficacy. Additionally, while size limitations often restrict the use of double-volutes in small pumps, their potential benefits and encouragement for further exploration are discussed for these applications, highlighting the significance of the double-volute arrangement in designing and operating high-pressure radial-flow centrifugal pumps. The simulations demonstrated a notable decrease in the radial hydraulic forces with the implementation of the double-volute configuration. Consequently, adopting a double-volute centrifugal pump design resulted in a substantial reduction in the impeller-induced forces and forces exerted on the bearings, leading to an approximate 45% decrease in the hydraulic radial forces. This result explains the significant reduction in impeller-induced and bearing forces.</p>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":null,"pages":null},"PeriodicalIF":2.7,"publicationDate":"2024-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142189191","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper presents a linear version of the reduced multibody system transfer matrix method, specifically designed for the exact analysis of free vibrations in hybrid models composed of Timoshenko beams, rigid bodies, and springs. The method is flexible, designed to handle various boundary conditions and any combination of beams, rigid bodies, and springs. We treat each beam segment and spring-supported rigid body as independent elements. Thus, viewing the overall model as a chain system simplifies the analysis. The essence of this method is the recursive transfer of mechanical information between elements, which is contained in the reduced transfer equations. The reduced transfer equations for the spring-supported rigid bodies and Timoshenko beams are derived in detail. The accuracy, high precision, and higher-order modal analysis capabilities of this method are validated through numerical examples. Furthermore, the improvement of the numerical stability by the segmentation strategy is analyzed, and the orthogonality between the augmented eigenvectors is proved mathematically and numerically. The concise, structured and highly programmable greatly simplifies the process of handling complex hybrid systems containing any number of Timoshenko beams and rigid bodies.
{"title":"Exact free vibration analysis of generalized multi-step Timoshenko beams coupled with spring-supported rigid bodies","authors":"Zhengquan Liu, Guoping Wang, Xiaoting Rui, Jianshu Zhang, Lilin Gu","doi":"10.1007/s11012-024-01871-6","DOIUrl":"https://doi.org/10.1007/s11012-024-01871-6","url":null,"abstract":"<p>This paper presents a linear version of the reduced multibody system transfer matrix method, specifically designed for the exact analysis of free vibrations in hybrid models composed of Timoshenko beams, rigid bodies, and springs. The method is flexible, designed to handle various boundary conditions and any combination of beams, rigid bodies, and springs. We treat each beam segment and spring-supported rigid body as independent elements. Thus, viewing the overall model as a chain system simplifies the analysis. The essence of this method is the recursive transfer of mechanical information between elements, which is contained in the reduced transfer equations. The reduced transfer equations for the spring-supported rigid bodies and Timoshenko beams are derived in detail. The accuracy, high precision, and higher-order modal analysis capabilities of this method are validated through numerical examples. Furthermore, the improvement of the numerical stability by the segmentation strategy is analyzed, and the orthogonality between the augmented eigenvectors is proved mathematically and numerically. The concise, structured and highly programmable greatly simplifies the process of handling complex hybrid systems containing any number of Timoshenko beams and rigid bodies.</p>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":null,"pages":null},"PeriodicalIF":2.7,"publicationDate":"2024-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142189162","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-20DOI: 10.1007/s11012-024-01869-0
Chaima Mastouri, Ahmed Frikha, Radhi Abdelmoula
This paper presents a numerical implementation of phase field models in structures subjected to tensile stress in both quasi-static and dynamic fracture cases. It focuses on the AT1 model and the phase field regularized cohesive zone model (PF-CZM) to compare their performance. Within these models, we focus on implementing the irreversibility condition using the penalization method rather than (Miehe et al. in Comput Methods Appl Mech Eng 199(45–48):2765–2778, 2010. https://doi.org/10.1016/j.cma.2010.04.011)’s “History field” method. Moreover, we employed a staggered algorithmic implementation due to its proven robustness. Numerical simulations were conducted using the multi-physic finite element code, COMSOL Multiphysics. The geometries analyzed include a notched and un-notched confined beam under stretching load and a ring under internal pressure. The originality of this work is presented in two parts. The first part consists in the implementation of the penalization technique within COMSOL Multiphysics. Then we investigated the effects of parameters like cohesive softening laws, notch depth and shape, mesh sensitivity, and length scale sensitivity on the confined beam responses. The second part of this manuscript consists in studying the dynamic fragmentation of a ring under internal pressure. A new solution is proposed to capture crack nucleation and propagation without randomizing material parameters.
{"title":"Phase field modeling of crack propagation in structures under tensile stress","authors":"Chaima Mastouri, Ahmed Frikha, Radhi Abdelmoula","doi":"10.1007/s11012-024-01869-0","DOIUrl":"https://doi.org/10.1007/s11012-024-01869-0","url":null,"abstract":"<p>This paper presents a numerical implementation of phase field models in structures subjected to tensile stress in both quasi-static and dynamic fracture cases. It focuses on the AT1 model and the phase field regularized cohesive zone model (PF-CZM) to compare their performance. Within these models, we focus on implementing the irreversibility condition using the penalization method rather than (Miehe et al. in Comput Methods Appl Mech Eng 199(45–48):2765–2778, 2010. https://doi.org/10.1016/j.cma.2010.04.011)’s “History field” method. Moreover, we employed a staggered algorithmic implementation due to its proven robustness. Numerical simulations were conducted using the multi-physic finite element code, COMSOL Multiphysics. The geometries analyzed include a notched and un-notched confined beam under stretching load and a ring under internal pressure. The originality of this work is presented in two parts. The first part consists in the implementation of the penalization technique within COMSOL Multiphysics. Then we investigated the effects of parameters like cohesive softening laws, notch depth and shape, mesh sensitivity, and length scale sensitivity on the confined beam responses. The second part of this manuscript consists in studying the dynamic fragmentation of a ring under internal pressure. A new solution is proposed to capture crack nucleation and propagation without randomizing material parameters.</p>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":null,"pages":null},"PeriodicalIF":2.7,"publicationDate":"2024-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142189192","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-16DOI: 10.1007/s11012-024-01868-1
Víctor I. Rodríguez-Reyes, Arturo Abúndez-Pliego, Oscar Fernando Oliveros-Riego
Morrow’s model has been widely used in recent years as part of new methodologies for assessing the fatigue life of metallic materials through the laws of thermodynamics. It is used to quantify the rate of dissipated energy in the fatigue process, represented by the hysteresis loop of the stress–strain diagram of the material. Then, the dissipated energy is used to quantify the entropy generation of the fatigue process. Morrow’s model is a function of the amplitude of the cyclic loading, and a few constants that represent material properties. However, despite its apparent simplicity, the material properties, when are experimentally obtained, usually exhibit dispersions that can lead to inaccurate calculations. In this work, the sensitivity of Morrow’s model to the variability of these parameters is evaluated. In order to assess the sensitivity, a constant amplitude value was set, and the quotient ({{sigma }_f^{'}}/{{sigma }_U}), the fatigue strength coefficient (sigma_f^{'}), the fatigue ductility coefficient ({ epsilon_f^{'}}) and the cyclic strain hardening exponent (n^{'}) were varied. A factorial design was conducted to determine the effects of the interactions of the material parameters on the response of Morrow’s model. The results showed that Morrow’s model is strongly sensitive to the above mentioned parameters, affecting its accuracy. In an extended case study, the fatigue fracture entropy and the fatigue life of Al2024-T3 were determined using material parameters from different sources in order to determine the influence of the material parameters in the assessment of the estimation of fatigue damage. The study allowed concluding that a meticulous statistical treatment is required when characterizing the material properties and the design engineer must be aware of possible inaccuracies if Morrow’s model is used for estimating fatigue life, specially in the new thermodynamic approaches.
{"title":"Assessment of the material properties effect on the response of Morrow’s Model for estimating the dissipation of energy in fatigue of metals","authors":"Víctor I. Rodríguez-Reyes, Arturo Abúndez-Pliego, Oscar Fernando Oliveros-Riego","doi":"10.1007/s11012-024-01868-1","DOIUrl":"https://doi.org/10.1007/s11012-024-01868-1","url":null,"abstract":"<p>Morrow’s model has been widely used in recent years as part of new methodologies for assessing the fatigue life of metallic materials through the laws of thermodynamics. It is used to quantify the rate of dissipated energy in the fatigue process, represented by the hysteresis loop of the stress–strain diagram of the material. Then, the dissipated energy is used to quantify the entropy generation of the fatigue process. Morrow’s model is a function of the amplitude of the cyclic loading, and a few constants that represent material properties. However, despite its apparent simplicity, the material properties, when are experimentally obtained, usually exhibit dispersions that can lead to inaccurate calculations. In this work, the sensitivity of Morrow’s model to the variability of these parameters is evaluated. In order to assess the sensitivity, a constant amplitude value was set, and the quotient <span>({{sigma }_f^{'}}/{{sigma }_U})</span>, the fatigue strength coefficient <span>(sigma_f^{'})</span>, the fatigue ductility coefficient <span>({ epsilon_f^{'}})</span> and the cyclic strain hardening exponent <span>(n^{'})</span> were varied. A factorial design was conducted to determine the effects of the interactions of the material parameters on the response of Morrow’s model. The results showed that Morrow’s model is strongly sensitive to the above mentioned parameters, affecting its accuracy. In an extended case study, the fatigue fracture entropy and the fatigue life of Al2024-T3 were determined using material parameters from different sources in order to determine the influence of the material parameters in the assessment of the estimation of fatigue damage. The study allowed concluding that a meticulous statistical treatment is required when characterizing the material properties and the design engineer must be aware of possible inaccuracies if Morrow’s model is used for estimating fatigue life, specially in the new thermodynamic approaches.</p>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":null,"pages":null},"PeriodicalIF":2.7,"publicationDate":"2024-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142224531","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-12DOI: 10.1007/s11012-024-01861-8
Yunyue Cong, Houjun Kang, Tieding Guo, Xiaoyang Su
Large amplitude vibration of transmission line seriously affects the structural safety. Due to the low bending stiffness of superhigh transmission tower, vortex-induced excitation combining with support motion induced by the tower will cause significant complex dynamic behaviors of the transmission line. To reveal dynamic behaviors, this paper newly proposes a suspended cable model of the transmission line subjected to the boundary motion and vortex-induced vibration. Dynamic mechanism and vibration energy transfer are focused in the condition of primary and subharmonic resonances. Innovative behaviors of the transmission line under two excitations are revealed. Firstly, vortex-induced excitation is very weak and support motion usually plays a dominate role in the dynamic responses. Large amplitude vibration of transmission line observed in practice should be caused more by tower tip motion and the vortex-induced vibration is the incentive. Secondly, different weak support motion can cause different effect on dynamic responses of transmission line under vortex-induced vibration reflecting by different lock-in phenomenon, which leads us the application of active control measure in engineering.
{"title":"Dynamic analysis of a cable model subjected to both vortex-induced excitation and axial support motion","authors":"Yunyue Cong, Houjun Kang, Tieding Guo, Xiaoyang Su","doi":"10.1007/s11012-024-01861-8","DOIUrl":"https://doi.org/10.1007/s11012-024-01861-8","url":null,"abstract":"<p>Large amplitude vibration of transmission line seriously affects the structural safety. Due to the low bending stiffness of superhigh transmission tower, vortex-induced excitation combining with support motion induced by the tower will cause significant complex dynamic behaviors of the transmission line. To reveal dynamic behaviors, this paper newly proposes a suspended cable model of the transmission line subjected to the boundary motion and vortex-induced vibration. Dynamic mechanism and vibration energy transfer are focused in the condition of primary and subharmonic resonances. Innovative behaviors of the transmission line under two excitations are revealed. Firstly, vortex-induced excitation is very weak and support motion usually plays a dominate role in the dynamic responses. Large amplitude vibration of transmission line observed in practice should be caused more by tower tip motion and the vortex-induced vibration is the incentive. Secondly, different weak support motion can cause different effect on dynamic responses of transmission line under vortex-induced vibration reflecting by different lock-in phenomenon, which leads us the application of active control measure in engineering.</p>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":null,"pages":null},"PeriodicalIF":2.7,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141942519","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-09DOI: 10.1007/s11012-024-01847-6
V. Varano, Arianna Venettoni, G. Salerno, S. Gabriele
{"title":"Directions of eccentricity of shells: the R-funicularity perspective","authors":"V. Varano, Arianna Venettoni, G. Salerno, S. Gabriele","doi":"10.1007/s11012-024-01847-6","DOIUrl":"https://doi.org/10.1007/s11012-024-01847-6","url":null,"abstract":"","PeriodicalId":695,"journal":{"name":"Meccanica","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141923397","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-08DOI: 10.1007/s11012-024-01852-9
Fatsah Mendil, Hocine Bechir, Mounir Methia
We investigate the influence of elastic nonhomogeneity on compression of solid circular cylinders made of incompressible functionally graded neo-Hookean materials. The shear modulus is assumed varying in the axial direction. The fixed–fixed conditions are considered, i.e. two rigid platens are fixed to ends of sample surfaces. We transform the balance equations into ordinary differential equations (ODE) which are solved numerically. Based on, we investigate lateral deformed profiles of a solid circular cylinder. Furthermore, we compute von-Mises stress that governs the possible failure of the material.
{"title":"Effect of nonhomogeneity on compression of solid circular cylinders made of functionally graded incompressible neo-Hookean materials","authors":"Fatsah Mendil, Hocine Bechir, Mounir Methia","doi":"10.1007/s11012-024-01852-9","DOIUrl":"10.1007/s11012-024-01852-9","url":null,"abstract":"<div><p>We investigate the influence of elastic nonhomogeneity on compression of solid circular cylinders made of incompressible functionally graded neo-Hookean materials. The shear modulus is assumed varying in the axial direction. The fixed–fixed conditions are considered, i.e. two rigid platens are fixed to ends of sample surfaces. We transform the balance equations into ordinary differential equations (ODE) which are solved numerically. Based on, we investigate lateral deformed profiles of a solid circular cylinder. Furthermore, we compute von-Mises stress that governs the possible failure of the material.</p></div>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141926542","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-07DOI: 10.1007/s11012-024-01835-w
Antonino Favata, Andrea Rodella, Stefano Vidoli
We present a simple chemo-mechanical variational model for a fibrous material that describes (i) the emergence of the anisotropy due to microscopic buckling instabilities (ii) a diffusion in the substrate of the cell phase driven by the new created macroscopic bands characterized by intense compressive deformation. The model is applicable for simulating the spreading of cells within tissues and their interaction with tissue remodeling during mesenchymal migration.
{"title":"A variational model for finger-driven cell diffusion in the extracellular matrix","authors":"Antonino Favata, Andrea Rodella, Stefano Vidoli","doi":"10.1007/s11012-024-01835-w","DOIUrl":"10.1007/s11012-024-01835-w","url":null,"abstract":"<div><p>We present a simple chemo-mechanical variational model for a fibrous material that describes (i) the emergence of the anisotropy due to microscopic buckling instabilities (ii) a diffusion in the substrate of the cell phase driven by the new created macroscopic bands characterized by intense compressive deformation. The model is applicable for simulating the spreading of cells within tissues and their interaction with tissue remodeling during mesenchymal migration.</p></div>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11012-024-01835-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141942520","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-05DOI: 10.1007/s11012-024-01863-6
Ritika Das, Santu Das
Ocean surface wave profile due to the movement of an asymmetric (sloping) block of the ocean floor is analytically derived under the assumption of linearized water wave theory and by using the Fourier transformation method. A slight compressibility of the ocean water allows for generating acoustic-gravity modes that travel much faster than tsunami waves, the detection of which can contribute towards a possible warning mechanism. The influence of different parameters of interest, namely ocean depth, length, and slope of the block, on the surface wave profile is shown in the frequency domain. Finally, the frequency-domain solution is utilized to provide the surface profile in the time domain. The stationary phase approximation is applied to extract the far-field behavior of the surface waves. The individual impact of the acoustic-gravity and pure gravity modes is shown. Due to the asymmetry of the bottom motion, two different types of far-fields in opposite directions of each other from the source of initial ocean floor motion are obtained. The classical solutions of horizontal and flat moving ocean floors studied by Yamamoto (DOI:https://doi.org/10.1016/0261-7277(82)90016-X) in the frequency domain and Stiassnie (DOI: https://doi.org/10.1007/s10665-009-9323-x) in the time-domain are recovered as special cases. The envelope amplitude of the far-field surface fluctuates less when slope exists. The contributions from the acoustic-gravity modes in the far-field surface amplitude in the opposite directions are in opposite phases. The pure-gravity mode contribution is higher towards the direction of increasing slope with more oscillation. These results show insight into the surface profile when a submarine earthquake moves the ocean floor asymmetrically, and they could lead to a possible estimation of the fault geometry. These results can also be utilized to approximate arbitrary bottom movement using superposition of piece-wise asymmetric moving ocean floor arranged in a line and may provide important information for early tsunami detection mechanisms in the future.
{"title":"Surface wave generation from a constant-slope-inducing asymmetric ocean floor motion: influence of compressible ocean","authors":"Ritika Das, Santu Das","doi":"10.1007/s11012-024-01863-6","DOIUrl":"10.1007/s11012-024-01863-6","url":null,"abstract":"<div><p>Ocean surface wave profile due to the movement of an asymmetric (sloping) block of the ocean floor is analytically derived under the assumption of linearized water wave theory and by using the Fourier transformation method. A slight compressibility of the ocean water allows for generating acoustic-gravity modes that travel much faster than tsunami waves, the detection of which can contribute towards a possible warning mechanism. The influence of different parameters of interest, namely ocean depth, length, and slope of the block, on the surface wave profile is shown in the frequency domain. Finally, the frequency-domain solution is utilized to provide the surface profile in the time domain. The stationary phase approximation is applied to extract the far-field behavior of the surface waves. The individual impact of the acoustic-gravity and pure gravity modes is shown. Due to the asymmetry of the bottom motion, two different types of far-fields in opposite directions of each other from the source of initial ocean floor motion are obtained. The classical solutions of horizontal and flat moving ocean floors studied by Yamamoto (DOI:https://doi.org/10.1016/0261-7277(82)90016-X) in the frequency domain and Stiassnie (DOI: https://doi.org/10.1007/s10665-009-9323-x) in the time-domain are recovered as special cases. The envelope amplitude of the far-field surface fluctuates less when slope exists. The contributions from the acoustic-gravity modes in the far-field surface amplitude in the opposite directions are in opposite phases. The pure-gravity mode contribution is higher towards the direction of increasing slope with more oscillation. These results show insight into the surface profile when a submarine earthquake moves the ocean floor asymmetrically, and they could lead to a possible estimation of the fault geometry. These results can also be utilized to approximate arbitrary bottom movement using superposition of piece-wise asymmetric moving ocean floor arranged in a line and may provide important information for early tsunami detection mechanisms in the future.</p></div>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141942521","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}