Pub Date : 2020-11-01DOI: 10.1080/13873954.2020.1810076
Xiao-qiong Huang, Yun-xiang Han
ABSTRACT The Underground transportation system plays a vital role in public transportation and exhibits complicated dynamics. The model predictive control approach for underground train dispatching is proposed in this paper. The system modelling technique spatially aggregates trains to generate the traffic flow model in a network of interconnected control units. The state-space model for the underground train traffic of a metro line is investigated. Simulation results are reported to demonstrate the effectiveness of the optimization control model.
{"title":"System model building and dynamic online control of traffic flow","authors":"Xiao-qiong Huang, Yun-xiang Han","doi":"10.1080/13873954.2020.1810076","DOIUrl":"https://doi.org/10.1080/13873954.2020.1810076","url":null,"abstract":"ABSTRACT The Underground transportation system plays a vital role in public transportation and exhibits complicated dynamics. The model predictive control approach for underground train dispatching is proposed in this paper. The system modelling technique spatially aggregates trains to generate the traffic flow model in a network of interconnected control units. The state-space model for the underground train traffic of a metro line is investigated. Simulation results are reported to demonstrate the effectiveness of the optimization control model.","PeriodicalId":49871,"journal":{"name":"Mathematical and Computer Modelling of Dynamical Systems","volume":"26 1","pages":"521 - 533"},"PeriodicalIF":1.9,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/13873954.2020.1810076","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49585960","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-08-07DOI: 10.1080/13873954.2021.1979592
Markus Lohmayer, P. Kotyczka, S. Leyendecker
ABSTRACT Port-Hamiltonian systems theory provides a structured approach to modelling, optimization and control of multiphysical systems. Yet, its relationship to thermodynamics seems to be unclear. The Hamiltonian is traditionally thought of as energy, although its meaning is exergy. This insight yields benefits: 1. Links to the GENERIC structure are identified, making it relatively easy to borrow ideas from a popular nonequilibrium thermodynamics framework. 2. The port-Hamiltonian structure combined with a bond-graph syntax is expected to become a main ingredient in thermodynamic optimization methods akin to exergy analysis and beyond. The intuitive nature of exergy and diagrammatic language facilitates interdisciplinary communication that is necessary for implementing sustainable energy systems and processes. Port-Hamiltonian systems are cyclo-passive, meaning that a power-balance equation immediately follows from their definition. For exergetic port-Hamiltonian systems, cyclo-passivity is synonymous with degradation of energy and follows from the first and the second law of thermodynamics being encoded as structural properties.
{"title":"Exergetic port-Hamiltonian systems: modelling basics","authors":"Markus Lohmayer, P. Kotyczka, S. Leyendecker","doi":"10.1080/13873954.2021.1979592","DOIUrl":"https://doi.org/10.1080/13873954.2021.1979592","url":null,"abstract":"ABSTRACT Port-Hamiltonian systems theory provides a structured approach to modelling, optimization and control of multiphysical systems. Yet, its relationship to thermodynamics seems to be unclear. The Hamiltonian is traditionally thought of as energy, although its meaning is exergy. This insight yields benefits: 1. Links to the GENERIC structure are identified, making it relatively easy to borrow ideas from a popular nonequilibrium thermodynamics framework. 2. The port-Hamiltonian structure combined with a bond-graph syntax is expected to become a main ingredient in thermodynamic optimization methods akin to exergy analysis and beyond. The intuitive nature of exergy and diagrammatic language facilitates interdisciplinary communication that is necessary for implementing sustainable energy systems and processes. Port-Hamiltonian systems are cyclo-passive, meaning that a power-balance equation immediately follows from their definition. For exergetic port-Hamiltonian systems, cyclo-passivity is synonymous with degradation of energy and follows from the first and the second law of thermodynamics being encoded as structural properties.","PeriodicalId":49871,"journal":{"name":"Mathematical and Computer Modelling of Dynamical Systems","volume":"27 1","pages":"489 - 521"},"PeriodicalIF":1.9,"publicationDate":"2020-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41961609","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-07-26DOI: 10.1080/13873954.2020.1787459
Hairui Zhang, Yongxin Yuan
ABSTRACT An important and difficult aspect for the finite element model updating problem is to make the updated model have physical meaning, that is, the connectivity of the original model should be preserved in the updated model. In many practical applications, the system matrices generated by discretization of a distributed parameter system with the finite element techniques are often very large and sparse and are of some special structures, such as symmetric and band structure (diagonal, tridiagonal, pentadiagonal, seven-diagonal, etc.). In this paper, the model updating problem for undamped gyroscopic systems with connectivity constraints is considered. The method proposed not only preserves the connectivity of the original model, but also can update the analytical matrices with different bandwidths, which can meet the needs of different structural dynamic model updating problems. Numerical results illustrate the efficiency of the proposed method.
{"title":"Model updating for undamped gyroscopic systems with connectivity constraints","authors":"Hairui Zhang, Yongxin Yuan","doi":"10.1080/13873954.2020.1787459","DOIUrl":"https://doi.org/10.1080/13873954.2020.1787459","url":null,"abstract":"ABSTRACT An important and difficult aspect for the finite element model updating problem is to make the updated model have physical meaning, that is, the connectivity of the original model should be preserved in the updated model. In many practical applications, the system matrices generated by discretization of a distributed parameter system with the finite element techniques are often very large and sparse and are of some special structures, such as symmetric and band structure (diagonal, tridiagonal, pentadiagonal, seven-diagonal, etc.). In this paper, the model updating problem for undamped gyroscopic systems with connectivity constraints is considered. The method proposed not only preserves the connectivity of the original model, but also can update the analytical matrices with different bandwidths, which can meet the needs of different structural dynamic model updating problems. Numerical results illustrate the efficiency of the proposed method.","PeriodicalId":49871,"journal":{"name":"Mathematical and Computer Modelling of Dynamical Systems","volume":"26 1","pages":"434 - 452"},"PeriodicalIF":1.9,"publicationDate":"2020-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/13873954.2020.1787459","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41380671","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-07-19DOI: 10.1080/13873954.2020.1793786
Sergey A. Matveev, A. Sorokin, A. Smirnov, E. Tyrtyshnikov
ABSTRACT Steady-state oscillations of nanoparticle populations in the system of colliding monomers and seed-clusters are observed for the range of the seed-cluster source with diffusion and ballistic collision kernels. The dynamics of nanoparticles in this system is driven by monomer-cluster and cluster-cluster irreversible aggregation and described in terms of the number of primary monomers per nanoparticle based on solving the population balance equations as described by the classical system of Smoluchowski equations. The oscillations of particles’ concentrations arise with growing power of the source of seed-clusters and can remain visible for several orders of magnitute of particle sizes . For the case of constant kinetic coefficients the novel semi-analytial solution of the utilized aggregation model is found and results of numerical simulations with use of up to non-linear kinetic equations agree excellently with proposed theory.
{"title":"Oscillating stationary distributions of nanoclusters in an open system","authors":"Sergey A. Matveev, A. Sorokin, A. Smirnov, E. Tyrtyshnikov","doi":"10.1080/13873954.2020.1793786","DOIUrl":"https://doi.org/10.1080/13873954.2020.1793786","url":null,"abstract":"ABSTRACT Steady-state oscillations of nanoparticle populations in the system of colliding monomers and seed-clusters are observed for the range of the seed-cluster source with diffusion and ballistic collision kernels. The dynamics of nanoparticles in this system is driven by monomer-cluster and cluster-cluster irreversible aggregation and described in terms of the number of primary monomers per nanoparticle based on solving the population balance equations as described by the classical system of Smoluchowski equations. The oscillations of particles’ concentrations arise with growing power of the source of seed-clusters and can remain visible for several orders of magnitute of particle sizes . For the case of constant kinetic coefficients the novel semi-analytial solution of the utilized aggregation model is found and results of numerical simulations with use of up to non-linear kinetic equations agree excellently with proposed theory.","PeriodicalId":49871,"journal":{"name":"Mathematical and Computer Modelling of Dynamical Systems","volume":"26 1","pages":"562 - 575"},"PeriodicalIF":1.9,"publicationDate":"2020-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/13873954.2020.1793786","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43344487","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-07-16DOI: 10.1080/13873954.2020.1792509
Yao Li
ABSTRACT Autonomous vehicles (AV) can solve vehicle relocation problems faced by traditional one-way vehicle-sharing systems. This paper explores the deterministic time-dependent system optimum of mixed shared AVs (SAV) and human vehicles (SHV) system to provide the benchmark for the situation of mixed vehicle flows. In such a system, the system planner determines vehicle-traveller assignment and optimal vehicle routing in transportation networks to serve predetermined travel demand of heterogeneous travellers. Due to large number of vehicles involved, travel time is considered endogenous with congestion. Using link transmission model (LTM) as a traffic flow model, the deterministic time-dependent system optimum is formulated as linear programming (LP) model to minimize the comprehensive cost including travellers’ travel time cost, waiting time cost and empty vehicle repositioning time cost. Numerical examples are conducted to show system performances and model effectiveness.
{"title":"Dynamic system optimal performances of shared autonomous and human vehicle system for heterogeneous travellers","authors":"Yao Li","doi":"10.1080/13873954.2020.1792509","DOIUrl":"https://doi.org/10.1080/13873954.2020.1792509","url":null,"abstract":"ABSTRACT Autonomous vehicles (AV) can solve vehicle relocation problems faced by traditional one-way vehicle-sharing systems. This paper explores the deterministic time-dependent system optimum of mixed shared AVs (SAV) and human vehicles (SHV) system to provide the benchmark for the situation of mixed vehicle flows. In such a system, the system planner determines vehicle-traveller assignment and optimal vehicle routing in transportation networks to serve predetermined travel demand of heterogeneous travellers. Due to large number of vehicles involved, travel time is considered endogenous with congestion. Using link transmission model (LTM) as a traffic flow model, the deterministic time-dependent system optimum is formulated as linear programming (LP) model to minimize the comprehensive cost including travellers’ travel time cost, waiting time cost and empty vehicle repositioning time cost. Numerical examples are conducted to show system performances and model effectiveness.","PeriodicalId":49871,"journal":{"name":"Mathematical and Computer Modelling of Dynamical Systems","volume":"26 1","pages":"481 - 499"},"PeriodicalIF":1.9,"publicationDate":"2020-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/13873954.2020.1792509","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41397809","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-07-16DOI: 10.1080/13873954.2020.1792510
L. Cvetićanin, M. Zukovic, Z. Rakaric, D. Cveticanin
ABSTRACT In this paper a nonlinear string-mass structure of the vibration absorber is analyzed. This structure is convenient to be installed in vibration damping systems of high buildings for their protection in the case of earthquake. The considered string-mass structure contains a translator movable mass connected with two strings. Due to nonlinear geometric properties of the system the motion of the mass is described with a strong nonlinear second order differential equation. In the paper the approximate procedure for solving of the nonlinear equation of motion is developed. Based on the solution the influence of the string preloading force, slider mass and friction force on the vibration property of the string-mass system is investigated. It is concluded that variation of the preloading string force may be applied as a control parameter for vibration absorption and as the regulator of vibration decay time.
{"title":"Modelling and analysis of the nonlinear string-mass structure of the vibration absorber","authors":"L. Cvetićanin, M. Zukovic, Z. Rakaric, D. Cveticanin","doi":"10.1080/13873954.2020.1792510","DOIUrl":"https://doi.org/10.1080/13873954.2020.1792510","url":null,"abstract":"ABSTRACT In this paper a nonlinear string-mass structure of the vibration absorber is analyzed. This structure is convenient to be installed in vibration damping systems of high buildings for their protection in the case of earthquake. The considered string-mass structure contains a translator movable mass connected with two strings. Due to nonlinear geometric properties of the system the motion of the mass is described with a strong nonlinear second order differential equation. In the paper the approximate procedure for solving of the nonlinear equation of motion is developed. Based on the solution the influence of the string preloading force, slider mass and friction force on the vibration property of the string-mass system is investigated. It is concluded that variation of the preloading string force may be applied as a control parameter for vibration absorption and as the regulator of vibration decay time.","PeriodicalId":49871,"journal":{"name":"Mathematical and Computer Modelling of Dynamical Systems","volume":"26 1","pages":"500 - 519"},"PeriodicalIF":1.9,"publicationDate":"2020-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/13873954.2020.1792510","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48417431","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-07-12DOI: 10.1080/13873954.2020.1788609
A. Bagheri, N. Esfandiari, B. Honarvar, A. Azdarpour
ABSTRACT The present study mainly focuses on enhancing the performance of solar still unit using solar energy through cylindrical parabolic collector and solar panels. A 300 W solar panel is used to heat saline water by thermal elements outside the solar still unit. Solar panels are cooled during the hot hours of the day; thus, reducing their temperature may lead to an increase in solar panel efficiency followed by an increase in the efficiency of the solar still unit. The maximum amount of freshwater used in the experiment was 2.132 kg/day. The experiments were modelled using ANNs. Based on neural network simulation results, there is a significant correlation between experimental data and neural network modelling. This paper compares experimental data with data obtained from mathematical modelling and ANNs. As a conclusion, the artificial neural network prediction has been more accurate than the simplified first principles model presented.
{"title":"First principles versus artificial neural network modelling of a solar desalination system with experimental validation","authors":"A. Bagheri, N. Esfandiari, B. Honarvar, A. Azdarpour","doi":"10.1080/13873954.2020.1788609","DOIUrl":"https://doi.org/10.1080/13873954.2020.1788609","url":null,"abstract":"ABSTRACT The present study mainly focuses on enhancing the performance of solar still unit using solar energy through cylindrical parabolic collector and solar panels. A 300 W solar panel is used to heat saline water by thermal elements outside the solar still unit. Solar panels are cooled during the hot hours of the day; thus, reducing their temperature may lead to an increase in solar panel efficiency followed by an increase in the efficiency of the solar still unit. The maximum amount of freshwater used in the experiment was 2.132 kg/day. The experiments were modelled using ANNs. Based on neural network simulation results, there is a significant correlation between experimental data and neural network modelling. This paper compares experimental data with data obtained from mathematical modelling and ANNs. As a conclusion, the artificial neural network prediction has been more accurate than the simplified first principles model presented.","PeriodicalId":49871,"journal":{"name":"Mathematical and Computer Modelling of Dynamical Systems","volume":"26 1","pages":"453 - 480"},"PeriodicalIF":1.9,"publicationDate":"2020-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/13873954.2020.1788609","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42217630","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-07-03DOI: 10.1080/13873954.2020.1788808
Wolfgang Kemmetmüller
This is my first editorial since taking over as the editor-in-chief (EiC) of Mathematical and Computer Modelling of Dynamical Systems (MCMDS). First of all, I would like to express my deep appreciation to my predecessor Inge Troch, for her outstanding work for this journal. Not only did she act as the EiC of the journal for the last 25 years, she also was the key persons when the idea of initiating a journal dedicated to the mathematical modelling of dynamical systems came up. Moreover, I am very thankful for her support during the transition phase and I hope that I can count on her invaluable experience as EiC also in the future. MCMDS is a popular journal for authors who want to publish their high-quality scientific work related to theoretical concepts for the derivation, simulation, simplification, analysis, calibration, and validation of mathematical models for dynamical systems and their application to demanding real-world problems. This is evidenced by the large number of papers submitted to the journal. I am convinced that in view of the increasing computer power available and the development of new powerful algorithms the relevance of modelling and simulation of dynamical systems will become even more important in all disciplines. Thus, there is no doubt that the journal has the potential to further improve its position on the market in the next years. During my tenure as EiC of the journal, I want to make MCMDS one of the journals which is among the first choice for authors who want to publish high-quality scientific results on mathematical modelling. In order to achieve this goal, there are a few steps to be taken: The time to first decision and the time to final acceptance of a paper are important numbers from the authors’ point of view. Thus, it is my goal to keep these times as short as possible and I aim at having the first decision three month after submission at latest. Of course, it shall be understood that reducing these times does not mean that any compromises on the thorough peer-review process will be made. To broaden the field of expertise I plan to extend the editorial board. This will also help to balance the work load for the review process among more people. This should also help to decrease the time to first decision of a paper. Therefore, one of the first measures will be to form an editorial board which is constituted of both well-experienced researchers and researchers who are at an earlier stage of their scientific career. Special Issues have always been an important part of MCMDS. Therefore, in consultation with the editorial board we will motivate researchers or research groups to organize special issues dedicated to topical subjects in the field of mathematical modelling of dynamical systems. Many different aspects determine the quality and reputation of a journal. I am well aware that the impact factor is one of the most visible number. Thus, it is a goal to keep the impact factor of the journal at a reasonably
{"title":"Editor’s note","authors":"Wolfgang Kemmetmüller","doi":"10.1080/13873954.2020.1788808","DOIUrl":"https://doi.org/10.1080/13873954.2020.1788808","url":null,"abstract":"This is my first editorial since taking over as the editor-in-chief (EiC) of Mathematical and Computer Modelling of Dynamical Systems (MCMDS). First of all, I would like to express my deep appreciation to my predecessor Inge Troch, for her outstanding work for this journal. Not only did she act as the EiC of the journal for the last 25 years, she also was the key persons when the idea of initiating a journal dedicated to the mathematical modelling of dynamical systems came up. Moreover, I am very thankful for her support during the transition phase and I hope that I can count on her invaluable experience as EiC also in the future. MCMDS is a popular journal for authors who want to publish their high-quality scientific work related to theoretical concepts for the derivation, simulation, simplification, analysis, calibration, and validation of mathematical models for dynamical systems and their application to demanding real-world problems. This is evidenced by the large number of papers submitted to the journal. I am convinced that in view of the increasing computer power available and the development of new powerful algorithms the relevance of modelling and simulation of dynamical systems will become even more important in all disciplines. Thus, there is no doubt that the journal has the potential to further improve its position on the market in the next years. During my tenure as EiC of the journal, I want to make MCMDS one of the journals which is among the first choice for authors who want to publish high-quality scientific results on mathematical modelling. In order to achieve this goal, there are a few steps to be taken: The time to first decision and the time to final acceptance of a paper are important numbers from the authors’ point of view. Thus, it is my goal to keep these times as short as possible and I aim at having the first decision three month after submission at latest. Of course, it shall be understood that reducing these times does not mean that any compromises on the thorough peer-review process will be made. To broaden the field of expertise I plan to extend the editorial board. This will also help to balance the work load for the review process among more people. This should also help to decrease the time to first decision of a paper. Therefore, one of the first measures will be to form an editorial board which is constituted of both well-experienced researchers and researchers who are at an earlier stage of their scientific career. Special Issues have always been an important part of MCMDS. Therefore, in consultation with the editorial board we will motivate researchers or research groups to organize special issues dedicated to topical subjects in the field of mathematical modelling of dynamical systems. Many different aspects determine the quality and reputation of a journal. I am well aware that the impact factor is one of the most visible number. Thus, it is a goal to keep the impact factor of the journal at a reasonably ","PeriodicalId":49871,"journal":{"name":"Mathematical and Computer Modelling of Dynamical Systems","volume":"26 1","pages":"304 - 305"},"PeriodicalIF":1.9,"publicationDate":"2020-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/13873954.2020.1788808","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43040602","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-07-03DOI: 10.1080/13873954.2020.1786841
Luis A. Mora, Ledoux. Yann, Héctor Ramírez, J. Yuz
ABSTRACT A simple and scalable finite-dimensional model based on the port-Hamiltonian framework is proposed to describe the fluid–structure interaction in tubes with time-varying geometries. For this purpose, the moving tube wall is described by a set of mass-spring-damper systems while the fluid is considered as a one-dimensional incompressible flow described by the average momentum dynamics in a set of incompressible flow sections. To couple these flow sections small compressible volumes are defined to describe the pressure between two adjacent fluid sections. The fluid-structure coupling is done through a power-preserving interconnection between velocities and forces. The resultant model includes external inputs for the fluid and inputs for external forces over the mechanical part that can be used for control or interconnection purposes. Numerical examples show the accordance of this simplified model with finite-element models reported in the literature.
{"title":"Fluid-Structure Port-Hamiltonian Model for Incompressible Flows in Tubes with Time Varying Geometries","authors":"Luis A. Mora, Ledoux. Yann, Héctor Ramírez, J. Yuz","doi":"10.1080/13873954.2020.1786841","DOIUrl":"https://doi.org/10.1080/13873954.2020.1786841","url":null,"abstract":"ABSTRACT A simple and scalable finite-dimensional model based on the port-Hamiltonian framework is proposed to describe the fluid–structure interaction in tubes with time-varying geometries. For this purpose, the moving tube wall is described by a set of mass-spring-damper systems while the fluid is considered as a one-dimensional incompressible flow described by the average momentum dynamics in a set of incompressible flow sections. To couple these flow sections small compressible volumes are defined to describe the pressure between two adjacent fluid sections. The fluid-structure coupling is done through a power-preserving interconnection between velocities and forces. The resultant model includes external inputs for the fluid and inputs for external forces over the mechanical part that can be used for control or interconnection purposes. Numerical examples show the accordance of this simplified model with finite-element models reported in the literature.","PeriodicalId":49871,"journal":{"name":"Mathematical and Computer Modelling of Dynamical Systems","volume":"26 1","pages":"409 - 433"},"PeriodicalIF":1.9,"publicationDate":"2020-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/13873954.2020.1786841","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43355290","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-07-03DOI: 10.1080/13873954.2020.1788809
I. Troch
During the 1980s, development of trains running safely without driver or of cars with ABS and ESC confronted many industries, especially automotive and aerospace industries, with the need for trustworthy simulation tools to improve their products quickly and at relatively low costs. Already in 1986 an IFAC symposium on Simulation in Control and in 1994 the first MATHMOD conference on Mathematical Modelling gathered each some 200 engineers and scientists to exchange ideas on how to establish trustworthy and easy-to-handle models for research and development. Moreover, very active working groups on simulation and modelling existed – primarily in Germany, the Benelux and in Scandinavia – with close relations to the industries of the respective countries. Therefore, it was not really astonishing for me when in 1993 a letter reached me from the Publishing House Swets & Zeitlinger telling that well-known experts from German Universities of Technology had made the suggestion to launch a new journal on Mathematical Modelling of Engineering Systems and, asking for my thoughts on that idea. After intensive discussions on the scope, the way of reviewing and the possibility of special issues, the idea became concrete. An Editorial Board was formed with S. MarsiliLibelli (Italy), P. C. Müller (Germany), D. J. Murray-Smith (UK) and R. E. Skelton (USA) as Associate Editors and with 25 further members from Austria, Belgium, Finland, France, Germany, Greece, Italy, Japan, Netherlands, Norway, Russia, Slowenia, Sweden and USA. After intensive discussions, the title of the journal could be fixed to be ‘Mathematical Modelling of Systems’ with the subtitle ‘Methods, Tools and Applications in Engineering and Related Sciences’. In June 1995 the first issue was published with papers dealing with modelling of an activated sludge process, of marine vehicles, of magnetic bearings, of a propeller-driven type aircraft and of electromagnetic losses in electric machinery with authors from Sweden, Norway, Switzerland, Germany and Belgium. These papers demonstrated quite well the original main focus of the journal. It was understood right from the beginning that all papers submitted to the journal must be peer-reviewed by at least two experts. At the beginning, this was not as easy as it is now. In the 1990s authors had to submit three paper copies via ordinary mail and these copies were sent in the same way to the reviewers – how comfortable can this be done now due to email and websites. There was also the agreement that papers dealing with an application must define not only the purpose of the model and the assumptions made in its development but that also model validation must be discussed carefully as models without validation, i.e. without comparison of model behaviour with real-world observation are of little use. Equally, comparison with already existing models must be provided whenever appropriate. MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS 2020, VOL. 26,
在20世纪80年代，开发无驾驶员安全运行的列车或具有ABS和ESC的汽车面临许多行业，特别是汽车和航空航天行业，需要可靠的仿真工具来快速和相对较低的成本改进他们的产品。早在1986年，IFAC就举办了控制仿真研讨会，1994年，第一次MATHMOD数学建模会议分别聚集了约200名工程师和科学家，就如何建立可信赖且易于操作的研究和开发模型交换意见。此外，在模拟和建模方面存在着非常活跃的工作组- -主要在德国、比荷卢经济联盟和斯堪的纳维亚- -它们同各自国家的工业有着密切的关系。因此，当我在1993年收到一封来自sweets & Zeitlinger出版社的信时，我并不感到惊讶。信中说，来自德国科技大学的知名专家建议创办一本关于工程系统数学建模的新期刊，并询问我对这个想法的看法。经过对审议范围、审议方式、特别问题的可能性等问题的深入讨论，最终形成了具体的构想。编辑委员会由S. MarsiliLibelli(意大利)、P. C. m ller(德国)、D. J. Murray-Smith(英国)和R. E. Skelton(美国)担任副编辑，另外还有来自奥地利、比利时、芬兰、法国、德国、希腊、意大利、日本、荷兰、挪威、俄罗斯、斯洛文尼亚、瑞典和美国的25名成员组成。经过深入的讨论，期刊的标题可以确定为“系统的数学建模”，副标题为“工程和相关科学中的方法、工具和应用”。1995年6月出版了第一期，论文涉及活性污泥过程、船舶、磁轴承、螺旋桨驱动型飞机和电机电磁损耗的建模，作者来自瑞典、挪威、瑞士、德国和比利时。这些论文很好地说明了该杂志最初的主要焦点。从一开始就明白，所有提交给该杂志的论文都必须由至少两位专家进行同行评议。一开始，这并不像现在这么容易。在20世纪90年代，作者必须通过普通邮件提交三份纸质副本，这些副本以同样的方式发送给审稿人——由于电子邮件和网站的存在，现在这样做是多么方便啊。还有一个共识是，处理应用程序的论文不仅必须定义模型的目的和在开发过程中所做的假设，而且还必须仔细讨论模型验证，因为没有验证的模型，即没有将模型行为与现实世界的观察进行比较，几乎没有用处。同样，必须在适当的时候提供与现有模型的比较。动力系统数学与计算机建模，2020,vol . 26, no . 1。4,301 - 303 https://doi.org/10.1080/13873954.2020.1788809
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