The traditional wave impeding block (WIB) is improved to a composite multilayer WIB with the same thickness (tri-layer as an example). Firstly, a physical model of the composite multilayer WIB installed in an unsaturated foundation is established, and the isolation effect on the S -wave is studied based on the wave theory in unsaturated porous and elastic media. The purpose of this study is to enhance the isolation frequency of WIB and to show the best isolation effect achieved by selecting the appropriate wave impedance ratio. The influence of saturation on its vibration isolation effect is also analyzed.
{"title":"Study on the isolation effect of a composite multilayer wave impeding block on the S-wave in an unsaturated foundation","authors":"Ye Jiang, Qiang Ma, Yan-Hong Bao","doi":"10.15632/jtam-pl/165949","DOIUrl":"https://doi.org/10.15632/jtam-pl/165949","url":null,"abstract":"The traditional wave impeding block (WIB) is improved to a composite multilayer WIB with the same thickness (tri-layer as an example). Firstly, a physical model of the composite multilayer WIB installed in an unsaturated foundation is established, and the isolation effect on the S -wave is studied based on the wave theory in unsaturated porous and elastic media. The purpose of this study is to enhance the isolation frequency of WIB and to show the best isolation effect achieved by selecting the appropriate wave impedance ratio. The influence of saturation on its vibration isolation effect is also analyzed.","PeriodicalId":49980,"journal":{"name":"Journal of Theoretical and Applied Mechanics","volume":"15 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87476612","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, we investigate the speed of moving boundaries for melting micro/nanoparticles in the initial and final stages using asymptotic matchings in a weak formulation of the problem. We find that such a speed is initially proportional to the flux across the moving boundary, however a blowup occurs in a finite time when the surface tension is considered, both numerically and theoretically, by assuming linear relations between thermal conductivities and diffusivities, which paves the way to tackle the related two and higher phase change problems. Last but not least, we verify our theoretical outcomes using a quasi-stationary approximation approach.
{"title":"An investigation of spherical micro/nanoparticle melting using asymptotic matchings in a weak formulation","authors":"Yue Chan","doi":"10.15632/jtam-pl/165938","DOIUrl":"https://doi.org/10.15632/jtam-pl/165938","url":null,"abstract":"In this paper, we investigate the speed of moving boundaries for melting micro/nanoparticles in the initial and final stages using asymptotic matchings in a weak formulation of the problem. We find that such a speed is initially proportional to the flux across the moving boundary, however a blowup occurs in a finite time when the surface tension is considered, both numerically and theoretically, by assuming linear relations between thermal conductivities and diffusivities, which paves the way to tackle the related two and higher phase change problems. Last but not least, we verify our theoretical outcomes using a quasi-stationary approximation approach.","PeriodicalId":49980,"journal":{"name":"Journal of Theoretical and Applied Mechanics","volume":"206 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72807999","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Zhewen Chong, Jing Tao, Yuehui Xie, Dongrong Wu, Tao Li
In order to study the effect of different surface crack parameters on the fracture failure of steel plate, the model was established by FEM. The results showed that the edge surface crack has the greatest influence on the fracture failure of the steel plate, and for non-edge surface cracks, the central surface crack has the greatest influence on the fracture failure of the steel plate. The larger the a/t and the smaller the a/c , the easier the steel plate fracture failure occurs. The a/c has a certain influence on the variation law of K and the position where K max appears.
{"title":"Study on tensile fracture failure of a steel plate with a surface crack","authors":"Zhewen Chong, Jing Tao, Yuehui Xie, Dongrong Wu, Tao Li","doi":"10.15632/jtam-pl/162991","DOIUrl":"https://doi.org/10.15632/jtam-pl/162991","url":null,"abstract":"In order to study the effect of different surface crack parameters on the fracture failure of steel plate, the model was established by FEM. The results showed that the edge surface crack has the greatest influence on the fracture failure of the steel plate, and for non-edge surface cracks, the central surface crack has the greatest influence on the fracture failure of the steel plate. The larger the a/t and the smaller the a/c , the easier the steel plate fracture failure occurs. The a/c has a certain influence on the variation law of K and the position where K max appears.","PeriodicalId":49980,"journal":{"name":"Journal of Theoretical and Applied Mechanics","volume":"167 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75383321","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Based on a dynamic discrete model of an out-of-plane curved beam with a constant curvature, eigen-properties of the spatial curved beam structure in undamaged and damaged configurations are considered in this paper. In the literature, based on the equivalent section reduction method, a distributed damage modeling method is proposed. Accoding to Euler-Bernoulli beam theory, the stiffness matrix of shear, bending and torsion coupling is derived. Combined with the lumped mass matrix and the characteristic equation of the multi degree of freedom system, natural frequencies of the undamaged and damaged structures are calculated.
{"title":"Analysis of out-of-plane free vibration of single damaged curved beam based on precise algorithm of structural mechanics","authors":"Xiaofei Li, Zhouyang Pan, H. Guo, Tian Zhang","doi":"10.15632/jtam-pl/163169","DOIUrl":"https://doi.org/10.15632/jtam-pl/163169","url":null,"abstract":"Based on a dynamic discrete model of an out-of-plane curved beam with a constant curvature, eigen-properties of the spatial curved beam structure in undamaged and damaged configurations are considered in this paper. In the literature, based on the equivalent section reduction method, a distributed damage modeling method is proposed. Accoding to Euler-Bernoulli beam theory, the stiffness matrix of shear, bending and torsion coupling is derived. Combined with the lumped mass matrix and the characteristic equation of the multi degree of freedom system, natural frequencies of the undamaged and damaged structures are calculated.","PeriodicalId":49980,"journal":{"name":"Journal of Theoretical and Applied Mechanics","volume":"46 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83744954","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We study the behavior of a collapsible tube conveying a fluid subject to external pressure that could occur in many physiological applications. The method of rotating spines is developed to enable an automatic mesh adaptation when the tube is deformed largely. We examine bifurcation diagrams when the tube is collapsed under a pressure driven condition and reveal that multiple solutions exist for a range of the Reynolds number. The stability characteristic of the system is discovered by determining stability of these solutions by the eigenvalue method for the first time, which is validated by solving a time-dependent problem of the system.
{"title":"A fully-coupled three-dimensional fluid-structure interaction study on the externally-pressurized collapsible tube and the internal flow","authors":"Sen Zhang, Haofei Liu","doi":"10.15632/jtam-pl/161686","DOIUrl":"https://doi.org/10.15632/jtam-pl/161686","url":null,"abstract":"We study the behavior of a collapsible tube conveying a fluid subject to external pressure that could occur in many physiological applications. The method of rotating spines is developed to enable an automatic mesh adaptation when the tube is deformed largely. We examine bifurcation diagrams when the tube is collapsed under a pressure driven condition and reveal that multiple solutions exist for a range of the Reynolds number. The stability characteristic of the system is discovered by determining stability of these solutions by the eigenvalue method for the first time, which is validated by solving a time-dependent problem of the system.","PeriodicalId":49980,"journal":{"name":"Journal of Theoretical and Applied Mechanics","volume":"125 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89282710","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A rubber conveyor belt is an essential piece of equipment in coal mine transportation. Its current motion and performance are directly affected by dynamic parameters. In this paper, a constitutive model has been established to study a rubber conveyor belt in order to analyze its dynamic characteristics. The covered rubber was considered as a classical solid model. The wire rope core was used as a Kelvin model, and a generalized constitutive mathematical model was established. Using Matlab, comparison of the fitting curve and the experimental curve was carried out to ensure reliability in an appropriate way. Meanwhile, the influence of different factors on dynamic parameters of rubber conveyor belts was also discussed by controlling the loading frequency and amplitude as well as external temperature. Finally, the experiment with the fitting curve was compared and verified, and the research results can provide a reference for this engineering field.
{"title":"Establishment of constitutive model and dynamic parameter analysis of rubber conveyor belt","authors":"Hongyue Chen, Siyuan Liu","doi":"10.15632/jtam-pl/163246","DOIUrl":"https://doi.org/10.15632/jtam-pl/163246","url":null,"abstract":"A rubber conveyor belt is an essential piece of equipment in coal mine transportation. Its current motion and performance are directly affected by dynamic parameters. In this paper, a constitutive model has been established to study a rubber conveyor belt in order to analyze its dynamic characteristics. The covered rubber was considered as a classical solid model. The wire rope core was used as a Kelvin model, and a generalized constitutive mathematical model was established. Using Matlab, comparison of the fitting curve and the experimental curve was carried out to ensure reliability in an appropriate way. Meanwhile, the influence of different factors on dynamic parameters of rubber conveyor belts was also discussed by controlling the loading frequency and amplitude as well as external temperature. Finally, the experiment with the fitting curve was compared and verified, and the research results can provide a reference for this engineering field.","PeriodicalId":49980,"journal":{"name":"Journal of Theoretical and Applied Mechanics","volume":"85 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90168038","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In order to use chaotic oscillators to identify Coulter signals with a low SNR (SNR ¬ 0), a Gaussian pulse signal is used to simulate the Coulter signal, and we study the continuous synchronous mutation (CSM) phenomenon of a chaotic ring coupled double-Duffing (RCDD) oscillator to identify the signals. The maximum difference between the two state variables in the oscillator can be used to determine the anti-noise ability of the oscillator and construct a function to identify pulse amplitudes. A Simulink model is constructed to verify that the proposed method can be used to identify pulse amplitudes with a low SNR, which provides an approach for developing a technology of measuring Coulter signals with the low SNR.
{"title":"Application of a ring coupled double-Duffing oscillator to a scheme for identifying the coulter signal with a low SNR","authors":"Zhijie Zhao, Runcong Liu, Xiaodong Wang","doi":"10.15632/jtam-pl/163290","DOIUrl":"https://doi.org/10.15632/jtam-pl/163290","url":null,"abstract":"In order to use chaotic oscillators to identify Coulter signals with a low SNR (SNR ¬ 0), a Gaussian pulse signal is used to simulate the Coulter signal, and we study the continuous synchronous mutation (CSM) phenomenon of a chaotic ring coupled double-Duffing (RCDD) oscillator to identify the signals. The maximum difference between the two state variables in the oscillator can be used to determine the anti-noise ability of the oscillator and construct a function to identify pulse amplitudes. A Simulink model is constructed to verify that the proposed method can be used to identify pulse amplitudes with a low SNR, which provides an approach for developing a technology of measuring Coulter signals with the low SNR.","PeriodicalId":49980,"journal":{"name":"Journal of Theoretical and Applied Mechanics","volume":"5 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87422615","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The paper presents implementation of a viscoelastic boundary condition to Yade software. The implemented boundary condition constraints linear displacements of bodies by applying a reaction force resulting from a solution of the Burgers rheological model. This work presents the results of one of validation tests, where the output of Discrete Element Simulation (DEM) was compared with an analytically formulated soft-contact problem. Furthermore, potential application in more complex simulations (plate load test) is demonstrated. It shows that the proposed approach allows for realistic yet efficient modeling of foundations purely within the DEM framework.
{"title":"Implementation of a viscoelastic boundary condition to Yade – open source DEM software","authors":"K. Brzeziński, A. Zbiciak, A. Gladky","doi":"10.15632/jtam-pl/163053","DOIUrl":"https://doi.org/10.15632/jtam-pl/163053","url":null,"abstract":"The paper presents implementation of a viscoelastic boundary condition to Yade software. The implemented boundary condition constraints linear displacements of bodies by applying a reaction force resulting from a solution of the Burgers rheological model. This work presents the results of one of validation tests, where the output of Discrete Element Simulation (DEM) was compared with an analytically formulated soft-contact problem. Furthermore, potential application in more complex simulations (plate load test) is demonstrated. It shows that the proposed approach allows for realistic yet efficient modeling of foundations purely within the DEM framework.","PeriodicalId":49980,"journal":{"name":"Journal of Theoretical and Applied Mechanics","volume":"28 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78358863","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In order to investigate the evolution trend of rail corrugation under the action of slip and interface effects, stick-slip vibration characteristics of a wheel-rail system in different line conditions have been analyzed in detail by establishing a complete three-dimensional coupling metro vehicle-track numerical model and considering the friction memory effect characterizing the slip rate and state dependence as well as interface effect. The results show that on a straight line, the friction memory effect has less influence on the wheel-rail contact stick-slip characteristics, and the values and variation ranges of adhesion coefficients and creepages are relatively small, indicating that it is difficult for the wheel-rail system to have stick-slip vibration, which makes it less likely to form rail corrugation. On a curved line, the fluctuation amplitudes of the inside longitudinal stick-slip characteristics and the outside transverse stick-slip characteristics are relatively large, which illustrates that the inside wheel-rail system is more prone to stick-slip vibration in the longitudinal direction, while the outside wheel-rail system is more prone to stick-slip vibration in the transverse direction, thus leading to different forms of rail corrugation. The friction memory effect reduces longitudinal and transverse creepages of both the inside and outside wheel-rail systems, demonstrating that the friction memory effect can moderate the relative wheel-rail slip and thus reduce the development rate of rail corrugation. The interface effect makes longitudinal and transverse adhesion coefficients of the wheel-rail system tend to homogenize and mostly decrease, while the corresponding creepages tend to increase. Although an increase in the creepage induces an enhanced interface slip, a smaller adhesion coefficient does not cause a significant change in the corrugation evolution. Friction memory and interface effects can cause the wheel-rail contact adhesion area ratio to increase, thus making the contact stick-slip distribution tend to homogenize, which is beneficial to reduce wear in the contact area and promote wear to homogenize.
{"title":"Trend analysis of rail corrugation in metro lines considering friction memory and interface effects","authors":"Zhiqiang Wang, Z. Lei","doi":"10.15632/jtam-pl/163077","DOIUrl":"https://doi.org/10.15632/jtam-pl/163077","url":null,"abstract":"In order to investigate the evolution trend of rail corrugation under the action of slip and interface effects, stick-slip vibration characteristics of a wheel-rail system in different line conditions have been analyzed in detail by establishing a complete three-dimensional coupling metro vehicle-track numerical model and considering the friction memory effect characterizing the slip rate and state dependence as well as interface effect. The results show that on a straight line, the friction memory effect has less influence on the wheel-rail contact stick-slip characteristics, and the values and variation ranges of adhesion coefficients and creepages are relatively small, indicating that it is difficult for the wheel-rail system to have stick-slip vibration, which makes it less likely to form rail corrugation. On a curved line, the fluctuation amplitudes of the inside longitudinal stick-slip characteristics and the outside transverse stick-slip characteristics are relatively large, which illustrates that the inside wheel-rail system is more prone to stick-slip vibration in the longitudinal direction, while the outside wheel-rail system is more prone to stick-slip vibration in the transverse direction, thus leading to different forms of rail corrugation. The friction memory effect reduces longitudinal and transverse creepages of both the inside and outside wheel-rail systems, demonstrating that the friction memory effect can moderate the relative wheel-rail slip and thus reduce the development rate of rail corrugation. The interface effect makes longitudinal and transverse adhesion coefficients of the wheel-rail system tend to homogenize and mostly decrease, while the corresponding creepages tend to increase. Although an increase in the creepage induces an enhanced interface slip, a smaller adhesion coefficient does not cause a significant change in the corrugation evolution. Friction memory and interface effects can cause the wheel-rail contact adhesion area ratio to increase, thus making the contact stick-slip distribution tend to homogenize, which is beneficial to reduce wear in the contact area and promote wear to homogenize.","PeriodicalId":49980,"journal":{"name":"Journal of Theoretical and Applied Mechanics","volume":"75 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79984891","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The paper presents research findings in the modelling and optimization of dynamic parameters of mechatronic systems with an induction motor. A mathematical model was developed to analyze currents in dynamic states of squirrel-cage rotors in the case of a line-to-line fault. The findings were verified experimentally using calculations for a 1.5 kW three-phase induction motor. The equations for a stationary 0 x , 0 y coordinate system relating to the stator were derived. The set of design variables selected in the optimization process contained parameters describing design features of the gear shafts and control units settings.
{"title":"Dynamic analysis of a mechatronic drive system with an induction motor","authors":"Yong Cao, Xiaohong Liu","doi":"10.15632/jtam-pl/160178","DOIUrl":"https://doi.org/10.15632/jtam-pl/160178","url":null,"abstract":"The paper presents research findings in the modelling and optimization of dynamic parameters of mechatronic systems with an induction motor. A mathematical model was developed to analyze currents in dynamic states of squirrel-cage rotors in the case of a line-to-line fault. The findings were verified experimentally using calculations for a 1.5 kW three-phase induction motor. The equations for a stationary 0 x , 0 y coordinate system relating to the stator were derived. The set of design variables selected in the optimization process contained parameters describing design features of the gear shafts and control units settings.","PeriodicalId":49980,"journal":{"name":"Journal of Theoretical and Applied Mechanics","volume":"68 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86096665","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}