Pub Date : 2023-02-14DOI: 10.1177/14644193231154439
Lianchao Sheng, Mincui Xu, Qifeng Sun, Wei Li, Guo Ye
To make the gear better adapt to the high temperature environment, the effects of tooth surface friction and thermal deformation on the dynamic characteristics of the gear were studied. First, based on the basic theory of gear nonlinear dynamics, the backlash model is established considering the effects of thermal deformation. Then, an improved multi-degree-of-freedom nonlinear dynamic model of gears is established taking into account the effects of thermal deformation and friction. The effect of tooth surface friction and thermal deformation on the system motion state is analyzed. Finally, to better analyze the relationship between impact vibration and transmission efficiency, the percussion vibration index is introduced. Compared with the existing research, a gear multi-degree-of-freedom dynamic model is established by considering the influence of tooth surface friction and thermal deformation. The percussion vibration index is introduced as an indicator of gear running health. The research result can provide reference for the optimization and cooling of the gear transmission system.
{"title":"Nonlinear dynamics analysis of gear transmission system considering tooth surface friction and thermal deformation","authors":"Lianchao Sheng, Mincui Xu, Qifeng Sun, Wei Li, Guo Ye","doi":"10.1177/14644193231154439","DOIUrl":"https://doi.org/10.1177/14644193231154439","url":null,"abstract":"To make the gear better adapt to the high temperature environment, the effects of tooth surface friction and thermal deformation on the dynamic characteristics of the gear were studied. First, based on the basic theory of gear nonlinear dynamics, the backlash model is established considering the effects of thermal deformation. Then, an improved multi-degree-of-freedom nonlinear dynamic model of gears is established taking into account the effects of thermal deformation and friction. The effect of tooth surface friction and thermal deformation on the system motion state is analyzed. Finally, to better analyze the relationship between impact vibration and transmission efficiency, the percussion vibration index is introduced. Compared with the existing research, a gear multi-degree-of-freedom dynamic model is established by considering the influence of tooth surface friction and thermal deformation. The percussion vibration index is introduced as an indicator of gear running health. The research result can provide reference for the optimization and cooling of the gear transmission system.","PeriodicalId":54565,"journal":{"name":"Proceedings of the Institution of Mechanical Engineers Part K-Journal of Multi-Body Dynamics","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2023-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82664403","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}
Pub Date : 2022-12-12DOI: 10.1177/14644193221143594
Pingping Zhao, Z. Fan
Compared with other electric vehicles, the ride comfort of the electric vehicle with the in-wheel motor as a dynamic vibration absorber has significantly improved. However, the in-wheel motor is used as a dynamic vibration absorber, aggravating the motor vibration, thus affecting motor performance and life. In addition, the space inside the wheel is limited, so the vibration displacement of the motor relative to the hub needs to be constrained. In fact, the literature on ride comfort of the electric vehicle with the in-wheel motor as a dynamic vibration absorber has hardly considered motor vibration. So, this article comprehensively investigates the ride comfort and motor vibration of this electric vehicle. Firstly, the vibration model of the electric vehicle with the in-wheel motor as a dynamic vibration absorber is established. Then, the optimisation model of this electric vehicle is founded. Next, the multi-objective particle swarm optimisation algorithms based on adaptive grid and crowding distance are used to optimise the model, and these two algorithms are compared. The optimal solutions in three typical cases are obtained. Finally, the vibration responses of this electric vehicle model before and after optimisation, the traditional electric vehicle model, and the in-wheel motor drive electric vehicle model are compared in case 1. The results show that all vibration responses are improved to different degrees after optimisation; the algorithm based on crowding distance can seek out the optimal solutions faster, but it takes longer to complete the whole optimisation process.
{"title":"Optimisation of electric vehicle with the in-wheel motor as a dynamic vibration absorber considering ride comfort and motor vibration based on particle swarm algorithm","authors":"Pingping Zhao, Z. Fan","doi":"10.1177/14644193221143594","DOIUrl":"https://doi.org/10.1177/14644193221143594","url":null,"abstract":"Compared with other electric vehicles, the ride comfort of the electric vehicle with the in-wheel motor as a dynamic vibration absorber has significantly improved. However, the in-wheel motor is used as a dynamic vibration absorber, aggravating the motor vibration, thus affecting motor performance and life. In addition, the space inside the wheel is limited, so the vibration displacement of the motor relative to the hub needs to be constrained. In fact, the literature on ride comfort of the electric vehicle with the in-wheel motor as a dynamic vibration absorber has hardly considered motor vibration. So, this article comprehensively investigates the ride comfort and motor vibration of this electric vehicle. Firstly, the vibration model of the electric vehicle with the in-wheel motor as a dynamic vibration absorber is established. Then, the optimisation model of this electric vehicle is founded. Next, the multi-objective particle swarm optimisation algorithms based on adaptive grid and crowding distance are used to optimise the model, and these two algorithms are compared. The optimal solutions in three typical cases are obtained. Finally, the vibration responses of this electric vehicle model before and after optimisation, the traditional electric vehicle model, and the in-wheel motor drive electric vehicle model are compared in case 1. The results show that all vibration responses are improved to different degrees after optimisation; the algorithm based on crowding distance can seek out the optimal solutions faster, but it takes longer to complete the whole optimisation process.","PeriodicalId":54565,"journal":{"name":"Proceedings of the Institution of Mechanical Engineers Part K-Journal of Multi-Body Dynamics","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2022-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83173512","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}
Pub Date : 2022-12-07DOI: 10.1177/14644193221140442
Mohammad Maghsoudi Mehrabani, A. K. Khalaji, M. Ghane
Ensemble control of robots has attracted much attention in engineering, and this is due to the need to control the arrangement and group movement of multi-robot systems in land, air, and sea applications. Multi-robot systems are growing in the industry today, such as security work, factory transportation, and construction. Multi-robot systems are used to collaborate with robots and perform joint missions. Also, in practice, many of the control methods proposed for dynamic systems may not be feasible because the intended model may be inaccurate or the system may be subject to model uncertainties. In this paper, a group of wheeled robots is controlled with a novel global input algorithm in the presence of uncertainties and environmental obstacles. In the following, the ensemble control of robots in the presence of obstacles is discussed using virtual potential functions. These potentials are defined in such a way that in equilibrium, the goal can be achieved. In this article, an algorithm for leading a group of robots among the obstacles is presented.
{"title":"Control of a group of uncertain wheeled robots with global inputs in the presence of obstacles","authors":"Mohammad Maghsoudi Mehrabani, A. K. Khalaji, M. Ghane","doi":"10.1177/14644193221140442","DOIUrl":"https://doi.org/10.1177/14644193221140442","url":null,"abstract":"Ensemble control of robots has attracted much attention in engineering, and this is due to the need to control the arrangement and group movement of multi-robot systems in land, air, and sea applications. Multi-robot systems are growing in the industry today, such as security work, factory transportation, and construction. Multi-robot systems are used to collaborate with robots and perform joint missions. Also, in practice, many of the control methods proposed for dynamic systems may not be feasible because the intended model may be inaccurate or the system may be subject to model uncertainties. In this paper, a group of wheeled robots is controlled with a novel global input algorithm in the presence of uncertainties and environmental obstacles. In the following, the ensemble control of robots in the presence of obstacles is discussed using virtual potential functions. These potentials are defined in such a way that in equilibrium, the goal can be achieved. In this article, an algorithm for leading a group of robots among the obstacles is presented.","PeriodicalId":54565,"journal":{"name":"Proceedings of the Institution of Mechanical Engineers Part K-Journal of Multi-Body Dynamics","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2022-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89075517","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}
Pub Date : 2022-12-06DOI: 10.1177/14644193221142333
ZhuJin Wu, Hesheng Tang, Yiming Li, Yan Ren, Lei Chen, Adarsh Kumar
Axial piston pumps have been widely studied and applied in engineering applications. Generally, traditional simulation models are established to analyze the vibration characteristics of the pump without the churning effect of the gap annular flow. A new vibration model of a rotor-bearing system considering the oil churning effect and time-varying excitation introduced by localized faults on the rolling element bearing is proposed in this work. External forces on rotor-bearing system are solved to obtain time-varying displacement and contact stiffness coefficient based on lump mass method. The dynamic model has constructed to analyze the dynamic characteristics of rotor-bearing system with bearing faults. The validity of the model is verified by comparing the simulation results with the analysis results and the experimental results. The findings reveal that rolling element bearing with localized faults alters the vibration characteristics of the rotor-bearing system. Both the simulation results and the experimental results show the fault characteristic frequency of the rotor-bearing system and the explicit component of its harmonics. The fault characteristic frequency of rotor-bearing system with bearing faults is consistent with the simulation result, and the error is less than 10%. The spectrum of the experimental and simulated signals is similar and indicates the validity of the dynamical model.
{"title":"Simulation and experimental analysis of rotor-bearing system with rolling element bearing fault in axial piston pump under churning condition","authors":"ZhuJin Wu, Hesheng Tang, Yiming Li, Yan Ren, Lei Chen, Adarsh Kumar","doi":"10.1177/14644193221142333","DOIUrl":"https://doi.org/10.1177/14644193221142333","url":null,"abstract":"Axial piston pumps have been widely studied and applied in engineering applications. Generally, traditional simulation models are established to analyze the vibration characteristics of the pump without the churning effect of the gap annular flow. A new vibration model of a rotor-bearing system considering the oil churning effect and time-varying excitation introduced by localized faults on the rolling element bearing is proposed in this work. External forces on rotor-bearing system are solved to obtain time-varying displacement and contact stiffness coefficient based on lump mass method. The dynamic model has constructed to analyze the dynamic characteristics of rotor-bearing system with bearing faults. The validity of the model is verified by comparing the simulation results with the analysis results and the experimental results. The findings reveal that rolling element bearing with localized faults alters the vibration characteristics of the rotor-bearing system. Both the simulation results and the experimental results show the fault characteristic frequency of the rotor-bearing system and the explicit component of its harmonics. The fault characteristic frequency of rotor-bearing system with bearing faults is consistent with the simulation result, and the error is less than 10%. The spectrum of the experimental and simulated signals is similar and indicates the validity of the dynamical model.","PeriodicalId":54565,"journal":{"name":"Proceedings of the Institution of Mechanical Engineers Part K-Journal of Multi-Body Dynamics","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2022-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82993498","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}
Pub Date : 2022-12-04DOI: 10.1177/14644193221141596
Yukun Lu, A. Khajepour, A. Soltani, Yonggang Wang, R. Zhen, Yegang Liu, Guoqiang Li
Various cabin designs have been developed for commercial vehicles to meet different driver comfort requirements. Among those configurations, the cab-over-engine (COE) is widely used because of its compact size and good road visibility. Since the engine is assembled underneath the cabin, it is required that the cabin can be entirely tilted forward in order to access the engine for inspection and maintenance. Hence, the forepart of the cabin suspension is designed to connect with the chassis frame through a linkage mechanism. The dynamic modelling of this commonly used configuration was lack of study in the literature, but it is essential for further cabin's dynamic analysis and vibration control. Considering the rapid development of the comfort-oriented cabin suspension, this study introduces a multi-body dynamic modelling approach for the COE cabin with a titling mechanism. The dynamic equations are derived based on the Lagrangian modelling method, which are then implemented in MATLAB/Simulink. Besides, a high-fidelity truck model is developed in ADAMS/Car to study the accuracy of the proposed dynamic model through co-simulation. Meanwhile, a four-point cabin model that has been widely used in past studies is used as the benchmark. The simulation results demonstrate that the proposed cabin dynamic model can accurately estimate the cabin's behaviour in vertical, roll, and pitch directions, which can be used for cabin dynamics, ride comfort, and cabin suspension control studies.
{"title":"Cab-Over-Engine truck cabins: A mathematical model for dynamics, driver comfort, and suspension analysis and control","authors":"Yukun Lu, A. Khajepour, A. Soltani, Yonggang Wang, R. Zhen, Yegang Liu, Guoqiang Li","doi":"10.1177/14644193221141596","DOIUrl":"https://doi.org/10.1177/14644193221141596","url":null,"abstract":"Various cabin designs have been developed for commercial vehicles to meet different driver comfort requirements. Among those configurations, the cab-over-engine (COE) is widely used because of its compact size and good road visibility. Since the engine is assembled underneath the cabin, it is required that the cabin can be entirely tilted forward in order to access the engine for inspection and maintenance. Hence, the forepart of the cabin suspension is designed to connect with the chassis frame through a linkage mechanism. The dynamic modelling of this commonly used configuration was lack of study in the literature, but it is essential for further cabin's dynamic analysis and vibration control. Considering the rapid development of the comfort-oriented cabin suspension, this study introduces a multi-body dynamic modelling approach for the COE cabin with a titling mechanism. The dynamic equations are derived based on the Lagrangian modelling method, which are then implemented in MATLAB/Simulink. Besides, a high-fidelity truck model is developed in ADAMS/Car to study the accuracy of the proposed dynamic model through co-simulation. Meanwhile, a four-point cabin model that has been widely used in past studies is used as the benchmark. The simulation results demonstrate that the proposed cabin dynamic model can accurately estimate the cabin's behaviour in vertical, roll, and pitch directions, which can be used for cabin dynamics, ride comfort, and cabin suspension control studies.","PeriodicalId":54565,"journal":{"name":"Proceedings of the Institution of Mechanical Engineers Part K-Journal of Multi-Body Dynamics","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2022-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84974663","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}
During the actual operation of gears, phenomena such as friction and cracking occur. Based on the energy method, a time-varying mesh stiffness solution model of the gear pair is established, and a dynamics model of the gear transmission system is built, and the sensitivity of the vibration signal and its response is analysed using wavelet transform as well as statistical indicators. The results show that cracks promote the effect of friction on the mesh stiffness as they enter the mesh. Friction will make the vibration displacement increase, and crack will cause vibration displacement to produce vibration shock, the wavelet diagram at the crack will become bright, kurtosis is the most effective indicator to determine the crack damage, which provides a theoretical basis to study the dynamic characteristics of friction and crack under actual working conditions and vibration and noise reduction.
{"title":"Research on dynamic characteristics of cracked gear pair considering time-varying friction","authors":"Shuai Mo, Xiaosong Hu, Dongdong Wang, Heyun Bao, Guojian Cen, Yunsheng Huang","doi":"10.1177/14644193221141778","DOIUrl":"https://doi.org/10.1177/14644193221141778","url":null,"abstract":"During the actual operation of gears, phenomena such as friction and cracking occur. Based on the energy method, a time-varying mesh stiffness solution model of the gear pair is established, and a dynamics model of the gear transmission system is built, and the sensitivity of the vibration signal and its response is analysed using wavelet transform as well as statistical indicators. The results show that cracks promote the effect of friction on the mesh stiffness as they enter the mesh. Friction will make the vibration displacement increase, and crack will cause vibration displacement to produce vibration shock, the wavelet diagram at the crack will become bright, kurtosis is the most effective indicator to determine the crack damage, which provides a theoretical basis to study the dynamic characteristics of friction and crack under actual working conditions and vibration and noise reduction.","PeriodicalId":54565,"journal":{"name":"Proceedings of the Institution of Mechanical Engineers Part K-Journal of Multi-Body Dynamics","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73626261","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}
Pub Date : 2022-11-24DOI: 10.1177/14644193221137970
Shiva Mohajerani, S. Ebrahimi, M. Jalili
In this study, the nonlinear vibration of a meshing gear pair with the teeth elasticity is investigated. The elastic elements between the teeth and the body of each gear wheel are introduced to partially incorporate the teeth elasticity in the model. This model was originally considered by the second author as a rigid-elastic modeling approach of meshing gear wheels, which is well-suited for multibody systems. The contact analysis of the meshing teeth is performed using the Kelvin-Voigt method. By deriving the equations of motion for the mentioned model, the results of the numerical solution are presented. The method of multiple scales is utilized here for the first time to analytically analyze the nonlinear vibration of a gear system in which the teeth elasticity is partially incorporated by considering identical elastic elements between the teeth and the gear body. In this study, the effect of system parameters on the frequency response including the primary, sub-harmonic, and super-harmonic resonances is investigated. The results of the analytical solution show that the effect of external excitation amplitude and intensity on the system response amplitude is the same in the primary and sub-harmonic resonances. The results obtained numerically and analytically for the model have an acceptable agreement.
{"title":"Nonlinear vibration analysis of meshing gear wheels considering the teeth elasticity","authors":"Shiva Mohajerani, S. Ebrahimi, M. Jalili","doi":"10.1177/14644193221137970","DOIUrl":"https://doi.org/10.1177/14644193221137970","url":null,"abstract":"In this study, the nonlinear vibration of a meshing gear pair with the teeth elasticity is investigated. The elastic elements between the teeth and the body of each gear wheel are introduced to partially incorporate the teeth elasticity in the model. This model was originally considered by the second author as a rigid-elastic modeling approach of meshing gear wheels, which is well-suited for multibody systems. The contact analysis of the meshing teeth is performed using the Kelvin-Voigt method. By deriving the equations of motion for the mentioned model, the results of the numerical solution are presented. The method of multiple scales is utilized here for the first time to analytically analyze the nonlinear vibration of a gear system in which the teeth elasticity is partially incorporated by considering identical elastic elements between the teeth and the gear body. In this study, the effect of system parameters on the frequency response including the primary, sub-harmonic, and super-harmonic resonances is investigated. The results of the analytical solution show that the effect of external excitation amplitude and intensity on the system response amplitude is the same in the primary and sub-harmonic resonances. The results obtained numerically and analytically for the model have an acceptable agreement.","PeriodicalId":54565,"journal":{"name":"Proceedings of the Institution of Mechanical Engineers Part K-Journal of Multi-Body Dynamics","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2022-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80303431","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}
Pub Date : 2022-11-22DOI: 10.1177/14644193221136661
Amit Mathur, P. Kumar, S. Harsha
In the present study, the performance evaluation of the signal decomposition methods; variational mode decomposition, empirical mode decomposition, and ensemble empirical mode decomposition, for the ball bearing fault detection and classification for the experimentally recorded vibration signals has been done. This work proposed a novel hybrid sensitive mode selection method combining three statistical measures (energy-based index, fault correlation-based index, and Hausdorff distance-based index) and investigating the effect of the selected sensitive mode extracted by the decomposition methods for the bearing defect frequency detection. The vibration data have been acquired for the healthy and seeded faults of different sizes for the inner and outer raceway defects. The complete features dataset comprises five time-domain, four spectral-domain, and two non-linear statistical features. The k-Nearest Neighbor, Support Vector Machine, and Naive Bayes classifiers are used for fault classification and predict the results with four performance metrics: accuracy, sensitivity, precision, and F-score. Firstly, the results of signal decomposition employing hybrid sensitive mode functions and statistical analysis of condition indicators (RMS, kurtosis and crest factor) revealed that the VMD outperforms the other two techniques. Secondly, the fault classification results predicted that the k-Nearest Neighbor classifier outperforms the other two classifiers. This proposed novel sensitive mode selection method significantly improves the bearing fault classification performance metrics with the features extracted from the selective mode functions with all three decomposition methods.
{"title":"Performance evaluation of three signal decomposition methods for bearing fault detection and classification","authors":"Amit Mathur, P. Kumar, S. Harsha","doi":"10.1177/14644193221136661","DOIUrl":"https://doi.org/10.1177/14644193221136661","url":null,"abstract":"In the present study, the performance evaluation of the signal decomposition methods; variational mode decomposition, empirical mode decomposition, and ensemble empirical mode decomposition, for the ball bearing fault detection and classification for the experimentally recorded vibration signals has been done. This work proposed a novel hybrid sensitive mode selection method combining three statistical measures (energy-based index, fault correlation-based index, and Hausdorff distance-based index) and investigating the effect of the selected sensitive mode extracted by the decomposition methods for the bearing defect frequency detection. The vibration data have been acquired for the healthy and seeded faults of different sizes for the inner and outer raceway defects. The complete features dataset comprises five time-domain, four spectral-domain, and two non-linear statistical features. The k-Nearest Neighbor, Support Vector Machine, and Naive Bayes classifiers are used for fault classification and predict the results with four performance metrics: accuracy, sensitivity, precision, and F-score. Firstly, the results of signal decomposition employing hybrid sensitive mode functions and statistical analysis of condition indicators (RMS, kurtosis and crest factor) revealed that the VMD outperforms the other two techniques. Secondly, the fault classification results predicted that the k-Nearest Neighbor classifier outperforms the other two classifiers. This proposed novel sensitive mode selection method significantly improves the bearing fault classification performance metrics with the features extracted from the selective mode functions with all three decomposition methods.","PeriodicalId":54565,"journal":{"name":"Proceedings of the Institution of Mechanical Engineers Part K-Journal of Multi-Body Dynamics","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2022-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83080554","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}
Pub Date : 2022-11-04DOI: 10.1177/14644193221135929
Anwesa Mohanty, R. Behera
The present study deals with the mathematical modeling of a nonlinear energy harvester (EH) to analyze it's frequency bandwidth for optimal use. The exhibited unique piezoelectric energy harvester (PEH) contains a cantilever beam as resonator with a moving mass. To fulfill the mechanism, the mass needs to be connected to the fixed end of the beam with a spring that acts as a mechanical amplifier. A novel analytical approach with 1:2 internal resonance (IR) including kinematic nonlinearity is addressed for energy harvesting. The occurrence of strong nonlinear coupling is the result of constant interconnection between the beam and moving mass. A discrete electro-mechanical coupled equation is derived using Galerkin's method followed by Hamilton's energy method. To analyze the effect of input parameters on the frequency bandwidth, MATLAB code is improved by implementing the “Method of multiple scales” (MMS) for furthering the energy output of the system. Due to IR, the solution tilted to two branches in the designed EH, witnessing broader frequency bandwidth. The influence of different system parameters such as spring stiffness, mass, and velocity of moving mass changed the position of central frequency resulting in the change in symmetry of frequency response.
{"title":"Energy harvesting from a cantilever beam with a spring-loaded oscillating mass system and base excitation","authors":"Anwesa Mohanty, R. Behera","doi":"10.1177/14644193221135929","DOIUrl":"https://doi.org/10.1177/14644193221135929","url":null,"abstract":"The present study deals with the mathematical modeling of a nonlinear energy harvester (EH) to analyze it's frequency bandwidth for optimal use. The exhibited unique piezoelectric energy harvester (PEH) contains a cantilever beam as resonator with a moving mass. To fulfill the mechanism, the mass needs to be connected to the fixed end of the beam with a spring that acts as a mechanical amplifier. A novel analytical approach with 1:2 internal resonance (IR) including kinematic nonlinearity is addressed for energy harvesting. The occurrence of strong nonlinear coupling is the result of constant interconnection between the beam and moving mass. A discrete electro-mechanical coupled equation is derived using Galerkin's method followed by Hamilton's energy method. To analyze the effect of input parameters on the frequency bandwidth, MATLAB code is improved by implementing the “Method of multiple scales” (MMS) for furthering the energy output of the system. Due to IR, the solution tilted to two branches in the designed EH, witnessing broader frequency bandwidth. The influence of different system parameters such as spring stiffness, mass, and velocity of moving mass changed the position of central frequency resulting in the change in symmetry of frequency response.","PeriodicalId":54565,"journal":{"name":"Proceedings of the Institution of Mechanical Engineers Part K-Journal of Multi-Body Dynamics","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2022-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72442968","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}
Pub Date : 2022-10-31DOI: 10.1177/14644193221134322
A. Donmez, A. Kahraman
Rattling is a perennial gear noise problem observed in various powertrain components ranging from manual transmissions to engine balancers and timing gear trains. Under lightly loaded conditions, gear systems that are subjected to input and/or output torque fluctuations exhibit vibro-impacts as tooth separations and coast-side contacts take place in the presence of backlash. Experimental set-ups that can impose tightly controlled torque fluctuations to single or multi-mesh gear train are used here to determine the sensitivity of the rattling noise levels to the magnitudes of backlash within wide ranges of torque fluctuation parameters. Torsional discrete models of the experimental set-ups were used to simulate these rattling motions and to predict impact velocity-based rattle severity indexes as a function of both excitation parameters and backlash magnitudes. Single-mesh results show that the larger backlash values result in higher noise levels in most of the cases. In case of double-mesh systems, the resultant noise levels and the corresponding rattle indices exhibit different sensitivities to backlash magnitudes depending on the excitation conditions.
{"title":"An experimental and theoretical investigation of the influence of backlash on gear train vibro-impacts and rattle noise","authors":"A. Donmez, A. Kahraman","doi":"10.1177/14644193221134322","DOIUrl":"https://doi.org/10.1177/14644193221134322","url":null,"abstract":"Rattling is a perennial gear noise problem observed in various powertrain components ranging from manual transmissions to engine balancers and timing gear trains. Under lightly loaded conditions, gear systems that are subjected to input and/or output torque fluctuations exhibit vibro-impacts as tooth separations and coast-side contacts take place in the presence of backlash. Experimental set-ups that can impose tightly controlled torque fluctuations to single or multi-mesh gear train are used here to determine the sensitivity of the rattling noise levels to the magnitudes of backlash within wide ranges of torque fluctuation parameters. Torsional discrete models of the experimental set-ups were used to simulate these rattling motions and to predict impact velocity-based rattle severity indexes as a function of both excitation parameters and backlash magnitudes. Single-mesh results show that the larger backlash values result in higher noise levels in most of the cases. In case of double-mesh systems, the resultant noise levels and the corresponding rattle indices exhibit different sensitivities to backlash magnitudes depending on the excitation conditions.","PeriodicalId":54565,"journal":{"name":"Proceedings of the Institution of Mechanical Engineers Part K-Journal of Multi-Body Dynamics","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2022-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81426470","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}
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