{"title":"Evaluation and Modification of Kinetic Gas Collision Theory as Applied to Encounter Rate Dynamics for Multi-Robot Groups and Robot Swarms","authors":"Adam Schroeder, Glenn Lipscomb","doi":"10.1115/1.4062202","DOIUrl":"https://doi.org/10.1115/1.4062202","url":null,"abstract":"Abstract Robots encountering other robots in a group can be beneficial, e.g., to exchange information, or detrimental, e.g., obstructing one another from operating. Kinetic gas theory (KGT) provides a statistical mechanical analysis of the collision rate between molecules. KGT has been applied to model robot encounter rates but there has been some inconsistency in how it has been applied to robot groups. There is a nine order of magnitude difference in size between a typical robot and molecule, so it is not a surprise that some adjustments may need to be made when considering robots instead of molecules. This work develops a model in detail by applying KGT, articulates limitations of applying this theory to robots, highlights inconsistencies in how it has been previously applied to robots, and suggests modifications to the model. A simple numerical study is also shown to validate the model and highlight the effect of differences in the implementation. The most important gap that this research has identified is the need to collect data on the magnitude and direction distribution of robots' velocities. Robots move and behave differently than gas molecules, whose velocity magnitude follow a Boltzmann distribution. A second major result is the connection of the KGT-based model developed in this work and previous research on robot encounter rate which independently arrived at the same relationship between robot size, number of robots, and encounter rate.","PeriodicalId":54858,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136265863","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}
{"title":"Dual Function Matrix Projective Synchronization for Fractional-order Hyperchaotic Systems","authors":"Jinman He, L. Pei","doi":"10.1115/1.4062452","DOIUrl":"https://doi.org/10.1115/1.4062452","url":null,"abstract":"\u0000 It is well known that the variability and complexity of projection proportionality factors of Dual Projective Synchronization (DPS) can effectively enhance signal confidentiality. However, in most literatures, the proportionality factors are some simple fixed constants, which can't ensure high security of information. For two pairs of fractional-order hyperchaotic systems (FOHS), how to expand the projection proportionality factors to increase its complexity? Then, our work will propose a new synchronization type, i.e., Dual Function Matrix Projective Synchronization (DFMPS) and realize the DFMPS for FOHS for the first time. Firstly, based on the traditional DPS, we generalize the proportionality factors to a general function matrix depending on time t, present the error functions and define the DFMPS. Then, for FOHS, the active controller and synchronization condition are designed and proved. At the same time, when the system is affected by parameter disturbance, the proposed active controller can eliminate the influence of parameter disturbance to the system's DFMPS, which indicates that the proposed control strategy has strong robustness. Finally, the DFMPS of two pairs of fractional-order hyperchaotic Chen and Rabinovich systems are realized, and synchronizing analysis and system robustness analysis are verified by numerical simulation. Particularly, the DFMPS can be degenerated to dual anti-synchronization, dual complete synchronization, DPS, modified DPS and dual matrix projective synchronization. This work extends the synchronization types for FOHS and offers a useful method to explore DFMPS for other fractional-order systems.","PeriodicalId":54858,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"40 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75421333","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}
Tiago Martins, Francesco Trainotti, Andreas Zwölfer, F. Afonso
{"title":"A Python Implementation of a Robust Multi-harmonic Balance with Numerical Continuation and Automatic Differentiation for Structural Dynamics","authors":"Tiago Martins, Francesco Trainotti, Andreas Zwölfer, F. Afonso","doi":"10.1115/1.4062424","DOIUrl":"https://doi.org/10.1115/1.4062424","url":null,"abstract":"\u0000 Simulations are used in vibration analysis to appraise the structure's functionality and to determine the loading effects, enabling partial optimization before actual prototyping. Oscillations are fundamental in nature, appearing in practical engineering applications. General nonlinear problems hardly have analytical solutions, requiring sophisticated techniques to reach approximate solutions. This works presents a robust Python implementation of multi-harmonic balance with predictor-corrector numerical continuation, Newton-Raphson root-solver, and forward automatic differentiation with dual numbers. This toolbox shows promising converging robustness when dealing with polynomial as well as sharp nonlinearities, especially in the construction of frequency response curves. The tool with its functionalities will be uploaded and made available to interested researchers upon request.","PeriodicalId":54858,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"55 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87237534","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}
{"title":"Fractional Dynamics and Analysis of Coupled Schrödinger-kdv Equation with Caputo-katugampola Type Memory","authors":"Jagdev Singh, A. Gupta, D. Baleanu","doi":"10.1115/1.4062391","DOIUrl":"https://doi.org/10.1115/1.4062391","url":null,"abstract":"\u0000 Fundamental purpose of the current research article is to analyze the behaviour of obtained results of time fractional nonlinear coupled Schrödinger-KdV equation,viaimplementing an effective analytical technique. In this work, Katugampola fractional derivative in Caputo type is used to model the problem. The coupled Schrödinger-KdV equation describes several kinds of wave propagation in plasma physics, like electromagnetic waves, dust-acoustic waves and Langmuir waves. The fixed point theorem is used to present the convergence analysis of obtained solution of the discussed model. The convergence analysis is shown in the form of existence and uniqueness of solution. Numerical simulation and graphical behaviour of the model are presented to show the reliability of the implemented analytical technique.A comparative analysis of exact and obtained approximate solutions is also presented.","PeriodicalId":54858,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"50 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77308374","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}
{"title":"Strong Resonance Bifurcations in a Discrete-time In-host Model with a Saturating Infection Rate","authors":"Sanaa Moussa Salman","doi":"10.1115/1.4062390","DOIUrl":"https://doi.org/10.1115/1.4062390","url":null,"abstract":"\u0000 The complex dynamics of a two-dimensional discrete-time in-host infection model with a saturating infection rate are discussed. The local stability of fixed points of the model is investigated. The model undergoes both flip and Neimark-Sacker bifurcations. Moreover, codimension-two bifurcations of the infected fixed point are discussed using bifurcation theory and normal forms. The model exhibits 1:2, 1:3, and 1:4 strong resonances. Numerical simulations are performed to verify our analysis. In addition, bifurcations of higher iterations are extracted from the numerical continuation. In order to reduce the disease burden, a control strategy is applied to the discrete-time model.","PeriodicalId":54858,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"18 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78455635","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}
{"title":"Efficient Hybrid Symbolic-Numeric Computational Method for Piecewise Linear Systems With Coulomb Friction","authors":"Amir Shahhosseini, Meng-Hsuan Tien, Kiran D'Souza","doi":"10.1115/1.4062203","DOIUrl":"https://doi.org/10.1115/1.4062203","url":null,"abstract":"Abstract A wide range of mechanical systems have gaps, cracks, intermittent contact or other geometrical discontinuities while simultaneously experiencing Coulomb friction. A piecewise linear model with discontinuous force elements is discussed in this paper that has the capability to accurately emulate the behavior of such mechanical assemblies. The mathematical formulation of the model is standardized via a universal differential inclusion and its behavior, in different scenarios, is studied. In addition to the compatibility of the proposed model with numerous industrial systems, the model also bears significant scientific value since it can demonstrate a wide spectrum of motions, ranging from periodic to chaotic. Furthermore, it is demonstrated that this class of models can generate a rare type of motion, called weakly chaotic motion. After their detailed introduction and analysis, an efficient hybrid symbolic-numeric computational method is introduced that can accurately obtain the arbitrary response of this class of nonlinear models. The proposed method is capable of treating high dimensional systems and its proposition omits the need for utilizing model reduction techniques for a wide range of problems. In contrast to the existing literature focused on improving the computational performance when analyzing these systems when there is a periodic response, this method is able to capture transient and nonstationary dynamics and is not restricted to only steady-state periodic responses.","PeriodicalId":54858,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135708614","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}
Vincenzo Di Paola, A. Goldsztejn, M. Zoppi, S. Caro
{"title":"Design of a Sliding Mode-Adaptive PID Control for Aerial Systems with a Suspended Load Exposed to Wind Gusts","authors":"Vincenzo Di Paola, A. Goldsztejn, M. Zoppi, S. Caro","doi":"10.1115/1.4062324","DOIUrl":"https://doi.org/10.1115/1.4062324","url":null,"abstract":"\u0000 Wind gusts are among the well-known disturbances that afflict aerial systems. A tracking task for a load suspended by massless rigid bars and quadrotors is considered in this paper. The complexity of the tracking task lies in the presence of wind gusts. Therefore, a self-tuning gain techniques for a Proportional-Integral-Derivative (PID) control are introduced to accomplish tracking tasks when wind gusts appear. To automatically tune the PID gains, a sliding mode condition is exploited. The stability of this approach, considering bounded disturbances, is guaranteed by introducing a supervisory control designed through the Lyapunov method. The proposed solution and its performances were tested through simulation and compared with both PD and PID controls.","PeriodicalId":54858,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"21 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82591915","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}
{"title":"Identification of Asymmetric Bouc-Wen Hysteresis Under Intense Noise by Only Measuring Acceleration","authors":"","doi":"10.1115/1.4062301","DOIUrl":"https://doi.org/10.1115/1.4062301","url":null,"abstract":"\u0000 Parameter identification of hysteretic models is significant for predicting structural dynamic response in vibration isolation structures. However, quasi-static testing and displacement measurement methods are not convenient for assembly structures and sensor layouts. Moreover, the methods based on evolutionary optimization need to provide appropriate boundary conditions for convergence and efficiency. Therefore, a novel hybrid identification method that takes the advantage of physics-informed parameter constraints and only acceleration measurement is proposed to identify the asymmetric Bouc-Wen hysteresis model. The restoring force surface is constructed for hysteresis force extraction based on the measurement of base excitation and isolated mass acceleration. The polynomial fitting and limit cycle approach are utilized for physical information given of an improved Bouc-wen model. Furthermore, the evolutionary algorithm based on parameter constraints is implemented for final parameter estimation. A numerical simulation of an asymmetric Bouc-wen model shows that the proposed method can keep an NMSE of 0.19% under the noise level of 30 dB. The reconstructed hysteresis loop keeps in good agreement with the theoretical one.","PeriodicalId":54858,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"136 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90636417","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}
{"title":"A Formula of Solutions for Non-autonomous Linear Difference Equations with a Fractional Forward Operator","authors":"","doi":"10.1115/1.4062300","DOIUrl":"https://doi.org/10.1115/1.4062300","url":null,"abstract":"\u0000 In this article we define a fractional forward discrete operator. Then, for a family of linear non-autonomous fractional difference equations constructed by using this fractional discrete operator, we provide a practical formula of solutions. This family of problems covers several linear fractional difference equations that appear in the literature. Numerical examples are given to justify our theory.","PeriodicalId":54858,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"129 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79579856","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}
{"title":"Discrete-time Adaptive Fractional Nonlinear Control Using Fuzzy Rules Emulating Networks","authors":"Aldo Jonathan Muñoz Vázquez, C. Treesatayapun","doi":"10.1115/1.4062264","DOIUrl":"https://doi.org/10.1115/1.4062264","url":null,"abstract":"\u0000 The research objective of this paper is to propose a robust controller that relies only on input-output data information, in order to enforce robust tracking in a large class of uncertain nonlinear system. The controller is based on an adaptation approach, which is based on a fractional reaching law, while the control cmputation is directly proposed in discrete time, simplifying its digital implementation. The feedback gain is adapted through a fuzzy inference system that emulates a neural network, providing interesting capabilities to compensate for a large sort of uncertainties and un-modeled effects. The uniform ultimate boundedness of the tracking error is analyzed in the Lyapunov framework. Finally, an experimental assessment is studied to highlight the reliability of the proposed scheme.","PeriodicalId":54858,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"24 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87138361","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}