Chaowu Jin, Yingqing Cao, Heng Zhou, Jin Zhou, Yuanping Xu, Zhoucheng Ye, Yu Xin
{"title":"Research on composite hierarchical anti-disturbance strategy for magnetic bearing rotor using H∞ and observer","authors":"Chaowu Jin, Yingqing Cao, Heng Zhou, Jin Zhou, Yuanping Xu, Zhoucheng Ye, Yu Xin","doi":"10.1177/10775463231225689","DOIUrl":"https://doi.org/10.1177/10775463231225689","url":null,"abstract":"The magnetic bearing rotor system is affected by internal uncertainties and various forms of external disturbances, which will affect the stability of the active magnetic bearing system. To address this issue, a composite hierarchical anti-disturbance strategy is used to improve the anti-disturbance ability of the magnetic bearing rotor system. The disturbance observer is used to compensate the system’s external disturbances, and the controller is used to suppress the system’s internal uncertainties. For this purpose, H∞ controller, disturbance observer (DOB), and linear extended state observer (LESO) are designed, respectively. Then, H∞ controller is combined with DOB and LESO to form H∞-DOB and H∞-LESO composite controllers and prove their stability. Finally, simulation and experiments show that H ∞-DOB and H ∞-LESO have better disturbance suppression effects than the H ∞ controller for external disturbances. And when the disturbance frequency or rotor rotation frequency of the system is high, H ∞-LESO controller has better disturbance suppression effect than H ∞-DOB.","PeriodicalId":508293,"journal":{"name":"Journal of Vibration and Control","volume":"56 7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139447369","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Fengxia He, Zhong Luo, Huaitao Shi, Changshuai Yu, Lei Li
{"title":"The vibroacoustic characteristic of beam-plate coupled structure in similitude","authors":"Fengxia He, Zhong Luo, Huaitao Shi, Changshuai Yu, Lei Li","doi":"10.1177/10775463241226866","DOIUrl":"https://doi.org/10.1177/10775463241226866","url":null,"abstract":"Similitude theory can be used to extrapolate the experimental data of a small, inexpensive, and easily tested model into design information for a large prototype. Scaling laws provide the relationship between a full-scale structure and its scale models. However, one challenging issue is the similitude of complex structure. To address the problem, an energy similarity method is presented based on the principle of conservation of power flow. The emphasis is to predict the vibroacoustic characteristic of beam-plate coupled structure in an effective and convenient way. The vibration response and radiated sound are investigated on the beam-plate coupled structure under random excitation. Numerical simulation and model test are both implemented, which validate the effectiveness and efficiency of the proposed method. Both aluminum and honeycomb materials are considered in beam-plate coupled structures. In addition, the comparison between the classic similitude method and the presented method (energy similarity) is illustrated. The results show that the energy similarity presented in this study can achieve a better performance in reproducing the vibroacoustic characteristic of beam-plate coupled structure than the classic similarity method.","PeriodicalId":508293,"journal":{"name":"Journal of Vibration and Control","volume":"7 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139445843","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Research on dynamic response of centrifugal pendulum vibration absorber based on hybrid damping model","authors":"Yi Zhang, Jie Qiu, Guangqiang Wu","doi":"10.1177/10775463231225785","DOIUrl":"https://doi.org/10.1177/10775463231225785","url":null,"abstract":"The application of the centrifugal pendulum vibration absorber (CPVA) has expanded from the aerospace sector to the automotive sector. To date, in most previous studies, viscous damping has been assumed to be present between the absorber and rotor, and damping has been neglected in other studies. To reflect and control the dynamic behaviour of the CPVA in vehicular applications realistically, a hybrid damping model incorporating viscous damping and rolling resistance was developed in this study and validated by conducting tests. Under the combined action of the centrifugal force, gravity, viscous resistance, and rolling resistance, an equation of motion of the CPVA was established using the Lagrangian function equation of the second type. The wear state of the kinematic pair between the absorber and rotor, which is common in practical applications, was included into a mathematical model in which the rolling resistance coefficient changes with the travel of the absorber, whereas the viscous resistance coefficient remains unchanged. A model was established to simulate the response of the absorber under a wide range of working conditions, and corresponding tests were performed. Compared with the results obtained using only viscous damping as reported in other studies, those of the proposed hybrid damping model are more consistent with the experimental results. This work fills the existing research gap and lays a foundation for further control of the dynamic behaviour of CPVAs in the gravitational field, particularly at low rotational speeds.","PeriodicalId":508293,"journal":{"name":"Journal of Vibration and Control","volume":"136 10","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139452988","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Fully analytic approach to study bifurcation phenomenon for a shape memory alloy beam under temperature variation and lateral white-noise excitation","authors":"Alireza Asnafi","doi":"10.1177/10775463231222779","DOIUrl":"https://doi.org/10.1177/10775463231222779","url":null,"abstract":"The main aim of this article is to obtain the probability density function of the response of an SMA beam under lateral white-noise excitation and study the bifurcation phenomenon through a fully analytic approach. Firstly, an efficient constitutive stress–strain relation for a shape memory alloy material supporting both martensite and austenite phases is considered. Secondly, the governing equation of motion for a typical SMA simply supported beam is derived using some dimensionless parameters. Thirdly, the corresponding probability density function of the response is computed analytically using the powerful Fokker–Planck–Kolmogorov equation, and finally, the bifurcation phenomenon for parameter variations of the beam is investigated. The results show how geometric (beam aspect ratio), force (the mean value of the white-noise excitation), and environmental (working temperature) factors can affect the nonlinear behavior and response bifurcation of the beam. A numerical validation is also done that guarantees the correctness of the method and results.","PeriodicalId":508293,"journal":{"name":"Journal of Vibration and Control","volume":"130 10","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139453593","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Transverse free vibration analysis of thin sectorial plates by the weak form quadrature element method","authors":"Hebin Liu, Hongzhi Zhong","doi":"10.1177/10775463231225276","DOIUrl":"https://doi.org/10.1177/10775463231225276","url":null,"abstract":"The weak form quadrature element method is applied to free vibration analysis of thin sectorial plates with arbitrary vertex angles and boundary conditions. To tackle the strong stress singularity around the vertex, analytical displacement descriptions are introduced into the inner sectorial subdomain, while the outer annular subdomain is modeled by a single weak form quadrature thin plate element. The continuity on the interface between the two subdomains is enforced afterwards. Eventually, a generalized eigenvalue formulation is established after introducing Hamilton’s principle. The first six non-dimensional frequency parameters for various vertex angles and boundary conditions are obtained and compared with available results. Several typical free vibration modes are plotted. The accuracy, convergence rate, and computational cost of the present formulation are discussed at length.","PeriodicalId":508293,"journal":{"name":"Journal of Vibration and Control","volume":"65 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139452849","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Discrete sliding mode control based on a new fractional order power reaching law","authors":"Aicha Znidi, Rim Jallouli Khlif, A. S. Nouri","doi":"10.1177/10775463231223273","DOIUrl":"https://doi.org/10.1177/10775463231223273","url":null,"abstract":"This paper presents a robust controller design for a discrete linear system, dealing with internal and external disturbances. The main focus is to reduce chattering, minimize undesirable oscillations, and enhance robustness against disturbances using a new discrete sliding mode control. The novel approach involves replacing the classical Gao’s reaching law with a fractional order reaching law based on the Grunwald–Letnikov definition, leading to advantages like a simplified algorithm and improved performance against disturbances. The performances of the suggested method are evaluated through two simulation examples.","PeriodicalId":508293,"journal":{"name":"Journal of Vibration and Control","volume":"136 7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139452990","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Investigating the Sommerfeld effect in the rotating shaft with internal and external damping using the Timoshenko beam theory","authors":"Hossein Movahedi, P. T. Birgani, E. Mirshekari","doi":"10.1177/10775463231225691","DOIUrl":"https://doi.org/10.1177/10775463231225691","url":null,"abstract":"The Sommerfeld effect is a destructive phenomenon in rotating systems with a non-ideal electrical source, which causes instability in the system by applying a dynamic jump around critical speeds. In this article, the Sommerfeld effect has been investigated for the first time using the Timoshenko beam theory for an eccentric continuous shaft with internal and external damping. After deriving the governing equations and finding displacement functions using the semi-analytical method, the Sommerfeld effect near the critical speeds is detected using the instantaneous power balance method. As confirmation of the correctness of the derived relations, it has been shown that for thin shafts, there is a good consistency between the results obtained from the Euler–Bernoulli and Timoshenko theories in the early modes. However, it was observed that at higher critical speeds, the jump amplitude decreases, and the unstable speed range increases significantly, so the probability of entering the vicinity of the instability range in the next mode is not unexpected. Since no effect has been ignored in this study, the dynamic analysis of the Sommerfeld jump in thick shafts is also possible. Despite the common belief that Timoshenko beam theory is only considered suitable for studying thick shafts, it has been shown that the effects of shear deformation are significant in high-speed systems, even for non-thick shafts, and regardless of them in higher modes, it causes a calculation error in determining the point of occurrence of the Sommerfeld phenomenon.","PeriodicalId":508293,"journal":{"name":"Journal of Vibration and Control","volume":"134 28","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139453195","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}