Reetika Chawla, Komal Deswal, Devendra Kumar, D. Baleanu
{"title":"Numerical Simulation for Generalized Time-Fractional Burgers' Equation with Three Distinct Linearization Schemes","authors":"Reetika Chawla, Komal Deswal, Devendra Kumar, D. Baleanu","doi":"10.1115/1.4056857","DOIUrl":"https://doi.org/10.1115/1.4056857","url":null,"abstract":"\u0000 In the present study, we examined the effectiveness of three linearization approaches for solving the time-fractional generalized Burgers' equation using a modified version of the fractional derivative by adopting the Atangana-Baleanu Caputo derivative. A stability analysis of the linearized time-fractional Burgers' difference equation was also presented. All linearization strategies used to solve the proposed non-linear problem are unconditionally stable. To support the theory, two numerical examples are considered. Furthermore, numerical results demonstrate the comparison of linearization strategies and manifest the effectiveness of the proposed numerical scheme in three distinct ways.","PeriodicalId":54858,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"11 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81984951","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":"Nonlinear Vibration of a Multi-Degree-of-Freedom Gear Transmission System with Multi-Piecewise Linear Functions","authors":"Fulin Liao, Jianliang Huang, Weidong Zhu","doi":"10.1115/1.4056850","DOIUrl":"https://doi.org/10.1115/1.4056850","url":null,"abstract":"\u0000 Periodic and period-doubling vibrations in a gear transmission system subjected to forced excitations with multi-piecewise linear functions are investigated in this work by using the incremental harmonic balance (IHB) method. The nonlinear ordinary differential equations that govern vibration of the gear transmission system are formulated by employing the Newton's second law. Analytical results reveal abundant interesting phenomena, including jumps, bifurcations, softening-spring behaviors, and primary, super-harmonic, and sub-harmonic resonances, which have not been exhibited in existing investigations on nonlinear vibrations of gear transmission systems. Nonlinear phenomena and resonances of the gear transmission system are revealed by considering different numbers of degrees of freedom of the system. The bifurcations containing saddle-node, period-doubling, and Hopf bifurcations are observed in frequency response curves. The period-doubling phenomena are characterized with phase-plane diagrams and Fourier spectra. Further, analytical results obtained by the IHB method match very well with those from numerical integration.","PeriodicalId":54858,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"BME-31 3","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72604343","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 Real-Time Fluid Dynamic Air Brake Model for Long Heavy Haul Trains","authors":"Qing Wu, Xiaohua Ge, E. Bernal, Peng-fei Liu","doi":"10.1115/1.4056849","DOIUrl":"https://doi.org/10.1115/1.4056849","url":null,"abstract":"\u0000 Practical real-time fluid dynamic air brake models for long heavy haul trains have not been reported in open literature. Based on a previous work titled 'Railway Air Brake Model and Parallel Computing Scheme' in the same journal, this paper proposed upgrades to the previous model and achieved the real-time feature. The real-time contributing factors included a new brake cylinder model, a new scheme for updating characteristics, and the application of parallel computing. Results show that, for a 150-wagon train emergency brake simulation, the computing speed was improved from 5.26 times slower than real-time to 8.6 times faster than real-time. The three contributions improved the computing speed by 8.8, 1.8 and 2.9 times faster than the baseline models, respectively.","PeriodicalId":54858,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"58 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84132908","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":"Wavelet-Based Methods to Partition Multibody Systems with Contact in Dynamic Simulation","authors":"Chantal L. Hutchison, J. Hewlett, J. Kovecses","doi":"10.1115/1.4056848","DOIUrl":"https://doi.org/10.1115/1.4056848","url":null,"abstract":"\u0000 The performance of physics simulation of multibody systems with contact can be enhanced by viewing the system as being composed of subsystems of bodies, and solving the dynamics of these subsystems in parallel. This approach to partition a system into subsystems, known as substructuring, is often based on topological information, such as the connectivity of a body in the system. However, substructuring based on topology may generate a potentially large number of equivalent decompositions, especially in highly symmetric systems, thus requiring a way to choose one partition over another. We propose that augmenting a topology-based partitioning scheme with dynamical information about the interactions between bodies may provide speedups by including temporal information about the constraint relationships between bodies. The simulation of multibody systems with contact typically exhibit non-stationary and multiscale interactions, which suggests a subsystem can be defined as a collection of bodies which have complex interactions with each other. We define complexity by introducing a novel metric based on the spread of time scales from a wavelet analysis of constraints between bodies. We show that for systems where purely topological information about the interaction between bodies is redundant, including dynamical information not only removes redundancy, but also can achieve significant computational speedups. Our results highlight the versatility of using dynamical information to look at large-scale structure in multibody simulations.","PeriodicalId":54858,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"43 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72829449","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}
Côme Butin, D. Chablat, Y. Aoustin, David Gouallier
{"title":"Novel Kinematics of an Anthropomorphic Prosthetic Hand Allowing Lateral and Opposite Grasp with a Single Actuator","authors":"Côme Butin, D. Chablat, Y. Aoustin, David Gouallier","doi":"10.1115/1.4056852","DOIUrl":"https://doi.org/10.1115/1.4056852","url":null,"abstract":"\u0000 This work introduced a new hand prosthesis architecture able to achieve an opposite and lateral grasp by using a single actuator. An analysis of the hand prostheses, as well as the movements classically performed in daily life and at work allows us to focus our work on these two types of grasp. A lockable passive joint is moved by the user to switch between the opposite and lateral grasp. The location of the thumb was defined thanks to 3D scans in four extreme positions. The movement of the thumb is analysed to determine the location of the joints to be created. Then, a four-bar linkage was optimized to realize this motion with good force transmission. A sensitivity analysis was performed to evaluate the performance index variation based on design parameters.","PeriodicalId":54858,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"55 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75109414","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":"Vibration Analysis of a Nonlinear Absorber Coupled to a Hand-Held Impact Machine","authors":"Oreoluwa Alabi, S. K. Gupta, O. Barry","doi":"10.1115/1.4056803","DOIUrl":"https://doi.org/10.1115/1.4056803","url":null,"abstract":"\u0000 Exposure of human hands to harmful levels of vibration can lead to severe injuries. To attenuate these Hand Transmitted Vibrations, a Nonlinear Vibration Absorber Inerter (NVAI) is proposed in this work. The proposed NVAI is attached to a coupled nonlinear system of a Hand-held Impact Machine and a Hand-Arm System. The combined coupled nonlinear system is modeled as a lumped parameter model with a combination of cubic and linear stiffness components, linear viscous dampers, and lumped masses. The governing equations of motion are solved analytically using the method of harmonic balance and validated using numerical simulations. A numerical bifurcation diagram of the system reveals the existence of complex solutions such as quasi-periodic and chaotic attractors. The appearances of quasi-periodic and chaotic attractors are later confirmed by Lyapunov exponents. Further, we explore the ability of the proposed NVAI to decrease the area corresponding to unstable quasi-periodic and chaotic motion in the excitation amplitude-frequency space. This observation further implies the delay in the onset of quasi-periodic and chaotic motion for a range of forcing amplitude using Lyapunov exponents. Finally, parametric analyses are carried out to identify the critical design parameters of the NVAI. These analyses reveal that an increase in the damping, mass, and inertance of the absorber ameliorates the performance of the NVAI. Furthermore, the critical value of the external excitation, corresponding to a sudden change in the response of the system, can be controlled using an appropriate selection of absorber parameters.","PeriodicalId":54858,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"3 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78279108","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}
Chongan Wang, Alireza Mojahed, Sameh Tawfick, Alexander F. Vakakis
{"title":"Machine Learning Non-Reciprocity of a Linear Waveguide With a Local Nonlinear, Asymmetric Gate: Case of Strong Coupling","authors":"Chongan Wang, Alireza Mojahed, Sameh Tawfick, Alexander F. Vakakis","doi":"10.1115/1.4056587","DOIUrl":"https://doi.org/10.1115/1.4056587","url":null,"abstract":"Abstract We study nonreciprocity in a passive linear waveguide augmented with a local asymmetric, dissipative, and strongly nonlinear gate. Strong coupling between the constituent oscillators of the waveguide is assumed, resulting in broadband capacity for wave transmission. The local nonlinearity and asymmetry at the gate can yield strong global nonreciprocal acoustics, in the sense of drastically different acoustical responses depending on which side of the waveguide a harmonic excitation is applied. Two types of highly nonreciprocal responses are observed: (i) Monochromatic responses without frequency distortion compared to the applied harmonic excitation, and (ii) strongly modulated responses (SMRs) with strong frequency distortion. The complexification averaging (CX-A) method is applied to analytically predict the monochromatic solutions of this strongly nonlinear problem, and a stability analysis is performed to study the governing bifurcations. In addition, we build a machine learning framework where neural net (NN) simulators are trained to predict the performance measures of the gated waveguide in terms of certain transmissibility and nonreciprocity measures. The NN drastically reduces the required simulation time, enabling the determination of parameter ranges for desired performance in a high-dimensional parameter space. In the predicted desirable parameter space for nonreciprocity, the maximum transmissibility reaches 40%, and the transmitted energy varies by up to three orders of magnitude depending on the direction of wave transmission. The machine learning tools along with the analytical methods of this work can inform predictive designs of practical nonreciprocal waveguides and acoustic metamaterials that incorporate local nonlinear gates.","PeriodicalId":54858,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135251565","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}
T. Molnár, Katherine Tighe, Wyatt Ubellacker, A. Kalantari, A. Ames
{"title":"Mechanical Design, Planning, and Control for Legged Robots in Distillation Columns","authors":"T. Molnár, Katherine Tighe, Wyatt Ubellacker, A. Kalantari, A. Ames","doi":"10.1115/1.4056659","DOIUrl":"https://doi.org/10.1115/1.4056659","url":null,"abstract":"\u0000 Dexterous robots have great potential to execute industrial tasks that are not suited to humans. In this work, a novel robotic mobility platform is proposed for use in the chemical industry to enable autonomous distillation column inspection — a tedious and dangerous task for humans. A roller arm mechanism is designed for a quadrupedal robot that enables moving across the distillation column. Required dynamic behaviors are generated with full-body motion planning and low-level control. The holistic process of mechanical design, planning, and control leads to desired behavior, as demonstrated by high-fidelity simulations. This marks a key step towards operating legged robots inside distillation columns.","PeriodicalId":54858,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"59 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80524949","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":"Erratum: “Global Dynamics and Bifurcation Analysis for the Peristaltic Transport Through Nonuniform Channels” (ASME J. Comput. Nonlinear Dynam., 2022, 17(6), p. 061001)","authors":"H. A. Hosham, N. M. Hafez","doi":"10.1115/1.4056592","DOIUrl":"https://doi.org/10.1115/1.4056592","url":null,"abstract":"","PeriodicalId":54858,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"19 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87330474","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":"Delay Effects in the Dynamics of Human Controlled Towing of Vehicles","authors":"Bence Szaksz, G. Stépán","doi":"10.1115/1.4056590","DOIUrl":"https://doi.org/10.1115/1.4056590","url":null,"abstract":"\u0000 A simplified mechanical model of vehicle towing is constructed. The towing procedure is modeled by means of two blocks connected with a linear spring that represents the elastic drawbar. The driver in the towing car controls the velocity of towing, while the driver of the towed vehicle tries to maintain a constant tension in the drawbar. Both control forces are subjected to a constant time delay that represents the reaction time of the operators. Utilizing the translational symmetry of the system, Routh reduction is carried out to make the governing equations as compact as possible. Stability charts are constructed in the space of the control parameters and the fastest decay of signals is identified. As time delay increases, the stable domain disappears and reappears periodically. Guidelines are provided for the design of the elasticity of the drawbar, which takes into account the masses of the vehicles and the average reaction time of the drivers.","PeriodicalId":54858,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"42 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79543079","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}