国际机械系统动力学学报(英文)最新文献

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Comparative analysis on the performance of different types of input- and command-shaping controllers in minimizing payload residual vibration of an overhead crane with an inclined supporting track 不同类型的输入和指令整形控制器在最大程度减少带倾斜支撑轨道的桥式起重机有效载荷残余振动方面的性能比较分析
国际机械系统动力学学报(英文) Pub Date : 2024-02-04 DOI: 10.1002/msd2.12095
Mohammed Alfares, Khaled Alhazza
{"title":"Comparative analysis on the performance of different types of input- and command-shaping controllers in minimizing payload residual vibration of an overhead crane with an inclined supporting track","authors":"Mohammed Alfares,&nbsp;Khaled Alhazza","doi":"10.1002/msd2.12095","DOIUrl":"10.1002/msd2.12095","url":null,"abstract":"<p>Reducing the effects of external disturbance on overhead crane systems is crucial, as they can impair the controller performance and cause excessive vibrations or oscillations of the payloads. One such external disturbance is the inclination of the supporting track of the crane trolley, which causes the system dynamics model to change. An open-loop control strategy is widely utilized to control the payload sway motion and generally does not require any alterations in the physical structure of a system or the installation of sensors and/or actuators. Input and command shaping are two common open-loop control techniques applied to control overhead cranes. In this paper, the effect of moving an overhead crane system along an inclined supporting track is investigated. In addition, the ability of different types of input- and command-shaping control schemes to suppress the residual vibrations due to trolley track inclination is demonstrated. Two types of input-shaping controllers, which are double-step, zero vibration, and one command waveform (WF) shaper based on a trigonometric function, are used and tested. A linear equation of motion of the overhead crane resting on an inclined surface is developed to simulate the overhead crane and payload motion. The effectiveness of the different types of open-loop controllers to suppress residual vibrations is verified by both simulation and experimental results. In addition, a new WF command shaper is proposed and designed to overcome track inclination while eliminating payload residual vibration. A comprehensive comparative analysis, both numerically and experimentally, is performed on the new proposed shaper to measure its effectiveness in handling inclination when compared to other types of open-loop controllers. The new shaper outperforms other controllers in eliminating payload residual vibration for a wider range of inclination angles.</p>","PeriodicalId":60486,"journal":{"name":"国际机械系统动力学学报(英文)","volume":"4 1","pages":"22-33"},"PeriodicalIF":0.0,"publicationDate":"2024-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/msd2.12095","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139770806","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Vibration control for the solar panels of spacecraft: Innovation methods and potential approaches 航天器太阳能电池板的振动控制:创新方法和潜在途径
IF 3.4
国际机械系统动力学学报(英文) Pub Date : 2023-12-30 DOI: 10.1002/msd2.12094
Dongxu Li, Wang Liu
{"title":"Vibration control for the solar panels of spacecraft: Innovation methods and potential approaches","authors":"Dongxu Li,&nbsp;Wang Liu","doi":"10.1002/msd2.12094","DOIUrl":"10.1002/msd2.12094","url":null,"abstract":"<p>Solar panels on spacecraft are typical kinds of flexible structures. Low-frequency and large-amplitude vibrations usually occur due to the inevitable disturbances of deployment impact, attitude/orbit maneuver, separation/docking impact, and so forth. These vibrations degrade the stability of the spacecraft platform, leading to a reduction in imaging quality and pointing direction accuracy. Vibration control is obligatory during flight missions. Here, we summarize the researches on vibration control of the solar panels. First, typical solar panels used in spacecraft and the specific difficulties in dynamic modeling and control design are introduced. Next, the researches on dynamic modeling methods, decentralized vibration control strategy, and in-orbit vibration controller design technologies are presented sequentially. Finally, a practical example where our method was successfully applied in-orbit is described. In conclusion, the theories, methods, and technologies presented in this review hold significant value for achieving high-precision performance in large spacecraft.</p>","PeriodicalId":60486,"journal":{"name":"国际机械系统动力学学报(英文)","volume":"3 4","pages":"300-330"},"PeriodicalIF":3.4,"publicationDate":"2023-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/msd2.12094","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139063494","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Alleviating vibrations along a harmonically driven nonuniform Euler–Bernoulli beam by imposing nodes 通过施加节点缓解谐波驱动非均匀欧拉-伯努利梁的振动
IF 3.4
国际机械系统动力学学报(英文) Pub Date : 2023-12-27 DOI: 10.1002/msd2.12090
Melis Baltan-Brunet, Fionna Kopp, Philip D. Cha
{"title":"Alleviating vibrations along a harmonically driven nonuniform Euler–Bernoulli beam by imposing nodes","authors":"Melis Baltan-Brunet,&nbsp;Fionna Kopp,&nbsp;Philip D. Cha","doi":"10.1002/msd2.12090","DOIUrl":"10.1002/msd2.12090","url":null,"abstract":"<p>A passive approach is developed to quench excess vibration along a harmonically driven, arbitrarily supported, nonuniform Euler–Bernoulli beam with constant thickness (height) and varying width. Vibration suppression is achieved by attaching properly tuned vibration absorbers to enforce nodes, or points of zero vibration, along the beam. An efficient hybrid method is proposed whereby the finite element method is used to model the nonuniform beams, and a formulation based on the assumed modes method is used to determine the required attachment force supplied by each absorber to induce the desired nodes. Knowing the attachment forces needed to induce nodes, design plots are generated for the absorber parameters as a function of the tolerable vibration amplitude for each absorber mass. When the node locations are judiciously chosen, it is possible to dramatically suppress the vibration along a selected region of the beam. As such, sensitive instruments can be placed in this region and will remain nearly stationary. Numerical studies illustrate the application to several systems with various types of nonuniformity, boundary conditions, and attachment and node locations; these examples validate the proposed method to passively control excess vibration by inducing nodes on nonuniform beams subjected to harmonic excitations.</p>","PeriodicalId":60486,"journal":{"name":"国际机械系统动力学学报(英文)","volume":"3 4","pages":"345-359"},"PeriodicalIF":3.4,"publicationDate":"2023-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/msd2.12090","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139055834","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Effect of temperature on tensile and vibration properties of bilayer boron nitride 温度对双层氮化硼拉伸和振动特性的影响
IF 3.4
国际机械系统动力学学报(英文) Pub Date : 2023-12-25 DOI: 10.1002/msd2.12093
Demin Zhao, Kexin Fang
{"title":"Effect of temperature on tensile and vibration properties of bilayer boron nitride","authors":"Demin Zhao,&nbsp;Kexin Fang","doi":"10.1002/msd2.12093","DOIUrl":"10.1002/msd2.12093","url":null,"abstract":"<p>Hexagonal boron nitride (h-BN) is a semiconductor material with a wide band gap, holding promising potential for applications in thermal conductivity devices and nanoresonators in the field of microelectronics. Here, molecular dynamics is simulated to investigate the tensile and vibrational behaviors of bilayer h-BN under five different stacking modes across varying temperatures. The mechanical properties of five different stacking modes of h-BN at various temperatures are focused on, including Young's modulus, the ultimate stress, and the ultimate strain. Results indicate that bilayer h-BN nanosheets exhibit anisotropic characteristics, with their tensile properties decreasing as temperature increases. Additionally, we explore the influence of temperature on the natural frequency of bilayer h-BN under five different stacking modes. These results establish a fundamental understanding of the mechanical and vibrational characteristics of bilayer h-BN nanosheets under different stacking modes, contributing to their potential applications in advanced nanodevices operating in extremely high-temperature environments.</p>","PeriodicalId":60486,"journal":{"name":"国际机械系统动力学学报(英文)","volume":"3 4","pages":"397-405"},"PeriodicalIF":3.4,"publicationDate":"2023-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/msd2.12093","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139056026","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Analysis of friction-related acoustic emission in bolted joint structures 螺栓连接结构中与摩擦有关的声发射分析
IF 3.4
国际机械系统动力学学报(英文) Pub Date : 2023-12-21 DOI: 10.1002/msd2.12091
Jiaying Sun, Huiyi Yang, Dongwu Li, Chao Xu
{"title":"Analysis of friction-related acoustic emission in bolted joint structures","authors":"Jiaying Sun,&nbsp;Huiyi Yang,&nbsp;Dongwu Li,&nbsp;Chao Xu","doi":"10.1002/msd2.12091","DOIUrl":"10.1002/msd2.12091","url":null,"abstract":"<p>A bolted joint may be in a state of continuous fretting friction and wear under random oscillatory loading, which makes the bolted joint prone to loosening. Therefore, it is essential to find a way to monitor the contact state of a bolted joint on time and handle it adeptly. Acoustic emission (AE) signals will be generated during the reciprocating friction of the bolted joint interface. Exploring the relationship between the frictional slip features and the acoustic emission characteristics under different bolt preloads can lay the foundation for using the acoustic emission techniques to monitor the pretightening state of bolted joints. This paper experimentally investigates the acoustic emission signals of a bolted joint structure during friction under different preloads, three repeated tests are implemented. The relationship between friction behavior and acoustic emission characteristics under different preloads is studied. The evolution of classical acoustic emission parameters and kinematic parameters with bolt preload levels is also analyzed. The 3-D topography of the specimens after parametric tests is analyzed. The results show that the characteristics of both burst-type and continuous-type acoustic emission can reflect different friction behavior under different bolt preloads. The evolution curves of acoustic emission parameters changed under the interaction of both frictional kinematic parameters and bolt preload levels. For the 3-D surface topography, the reciprocating friction shears the peaks and fills the surface valleys, and the topography of the scratched surface areas is redistributed.</p>","PeriodicalId":60486,"journal":{"name":"国际机械系统动力学学报(英文)","volume":"3 4","pages":"383-396"},"PeriodicalIF":3.4,"publicationDate":"2023-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/msd2.12091","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138953381","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Launching ceremony of the International Society of Mechanical System Dynamics Convened in Beijing, China 国际机械系统动力学学会启动仪式在中国北京举行
IF 3.4
国际机械系统动力学学报(英文) Pub Date : 2023-12-21 DOI: 10.1002/msd2.12089
Tong Zhang, Qinbo Zhou, Yanni Zhang, Hang Zhang
{"title":"Launching ceremony of the International Society of Mechanical System Dynamics Convened in Beijing, China","authors":"Tong Zhang,&nbsp;Qinbo Zhou,&nbsp;Yanni Zhang,&nbsp;Hang Zhang","doi":"10.1002/msd2.12089","DOIUrl":"10.1002/msd2.12089","url":null,"abstract":"&lt;p&gt;The First General Assembly and the First Session of the First Executive Board Meeting of International Society of Mechanical System Dynamics (ISMSD), the ISMSD Launching Ceremony, the Second International Conference on Mechanical System Dynamics (ICMSD), the Second ICMSD Standing Steering Committee Meeting, the Third Editorial Board Meeting of the &lt;i&gt;International Journal of Mechanical System Dynamics&lt;/i&gt; (&lt;i&gt;IJMSD&lt;/i&gt;), and the &lt;i&gt;IJMSD&lt;/i&gt; Expert Symposium 2023 were held as a series of international activities on mechanical system dynamics, during the period from August 31 to September 4, 2023, at the Wyndham Beijing North, Beijing, China. More than 1000 scientists, engineers, and scholars from nearly 30 countries of six continents, including China, the United States, Canada, Russia, the United Kingdom, Germany, Portugal, Spain, Romania, the Netherlands, Poland, Finland, Italy, Denmark, Australia, Sri Lanka, Israel, Saudi Arabia, Pakistan, Singapore, India, and Japan, attended these meetings. These meetings were attended by 37 members of the National Academy of Sciences/Engineering, seven Presidents/Vice Presidents of international societies, and 18 Editors-in-Chief/Associate Editors of international journals, as well as the Leaders of Jiangsu Provincial People's Government, China Association for Science and Technology, and China National Space Administration. Focusing on the theme of “improving the research and development capability of science, technology, and industry and the mechanical system performance by using mechanical system dynamics.” These meetings and conferences defined new chapters for the future development of the field of mechanical system dynamics.&lt;/p&gt;&lt;p&gt;In order to adapt to the rapid development of global mechanical systems and mechanical system dynamics, nearly 100 well-known scientists and experts from 34 countries of six continents jointly initiated and established &lt;i&gt;IJMSD&lt;/i&gt;, ICMSD, and ISMSD, including 46 members of the National Academy of Sciences/Engineering, 34 Presidents/Chairmen of international societies, and 17 Editors-in-Chief of international journals. On the afternoon of September 1, 2023, at the Wyndham Beijing North, Beijing, China, the First General Assembly and the First Session of the First Executive Board Meeting of the ISMSD marked the beginning of the series of international activities (Figure 1A,B). The 67 members of the ISMSD Preparatory Committee from nearly 30 countries of six continents attended the meeting. Among them, 36 members participated in the meeting offline, including 12 members of the National Academy of Sciences/Engineering, six Presidents/Vice Presidents of international societies, and 12 Editors-in-Chief/Associate Editors of international journals; 31 members participated in the meeting online; and four members of the National Academy of Sciences/Engineering attended in person. Prof. Xiaoting Rui, Member of the Chinese Academy of Sciences and the President of the ISMSD Preparatory","PeriodicalId":60486,"journal":{"name":"国际机械系统动力学学报(英文)","volume":"3 4","pages":"283-299"},"PeriodicalIF":3.4,"publicationDate":"2023-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/msd2.12089","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138952568","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dynamic transfer model and applications of a penetrating projectile-fuze multibody system 穿甲弹-引信多体系统的动态转移模型及应用
IF 3.4
国际机械系统动力学学报(英文) Pub Date : 2023-12-21 DOI: 10.1002/msd2.12092
Da Yu, Benqiang Yang, Kai Yan, Changsheng Li, Xiang Ma, Xiangyu Han, He Zhang, Keren Dai
{"title":"Dynamic transfer model and applications of a penetrating projectile-fuze multibody system","authors":"Da Yu,&nbsp;Benqiang Yang,&nbsp;Kai Yan,&nbsp;Changsheng Li,&nbsp;Xiang Ma,&nbsp;Xiangyu Han,&nbsp;He Zhang,&nbsp;Keren Dai","doi":"10.1002/msd2.12092","DOIUrl":"10.1002/msd2.12092","url":null,"abstract":"<p>In modern warfare, fortifications are being placed deeper underground and with increased mechanical strength, placing higher demands on the target speed of the penetrating munitions that attack them. In such practical scenarios, penetrating fuze inevitably experience extreme mechanical loads with long pulse durations and high shock strengths. Experimental results indicate that their shock accelerations can even exceed those of the projectile by several times. However, due to the unclear understanding of the dynamic transfer mechanism of the penetrating fuze system under such extreme mechanical conditions, there is still a lack of effective methods to accurately estimate and design protection against the impact loads on the penetrating fuze. This paper focuses on the dynamic response of penetrating munitions and fuzes under high impact, establishing a nonlinear dynamic transfer model for penetrating fuze systems, which can calculate the sensor overload signal of the fuze location. The results show that the relative error between the peak acceleration obtained by the proposed multibody dynamic transfer model and that obtained by experimental tests is only 15.7%, which is much lower than the 26.4% error between finite element simulations and experimental tests. The computational burden of the proposed method mainly lies in the parameter calibration process, which needs to be performed only once for a specific projectile-fuze system. Once calibrated, the model can rapidly conduct parameter scanning simulations for the projectile mass, target plate strength, and impact velocity with an extremely low computational cost to obtain the response characteristics of the projectile-fuze system under various operating conditions. This greatly facilitates the practical engineering design of penetrating ammunition fuze.</p>","PeriodicalId":60486,"journal":{"name":"国际机械系统动力学学报(英文)","volume":"3 4","pages":"360-372"},"PeriodicalIF":3.4,"publicationDate":"2023-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/msd2.12092","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138950969","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Orthotropic plate model for the vibration of multilayered molybdenum disulfide 多层二硫化钼振动的正交各向异性板模型
IF 3.4
国际机械系统动力学学报(英文) Pub Date : 2023-11-15 DOI: 10.1002/msd2.12088
Mingqian Li, Lifeng Wang
{"title":"Orthotropic plate model for the vibration of multilayered molybdenum disulfide","authors":"Mingqian Li,&nbsp;Lifeng Wang","doi":"10.1002/msd2.12088","DOIUrl":"10.1002/msd2.12088","url":null,"abstract":"<p>Molecular dynamics (MD) simulation and orthotropic continuum model that considers interlayer shear are used to investigate the transverse deformation and free transverse vibration of multilayered rectangular molybdenum disulfide (MoS<sub>2</sub>). The interlayer shear effect is considered in the continuum model by considering the multilayered MoS<sub>2</sub> as a continuous uniform orthotropic material. A method for obtaining mode shapes using a single thermal vibration MD simulation is proposed. The frequencies and mode shapes predicted using the orthotropic continuum model and MD simulation agree well. The mechanical problem of multilayered two-dimensional material plate resonator can be solved easily and efficiently by using the finite element method for the orthotropic continuum model.</p>","PeriodicalId":60486,"journal":{"name":"国际机械系统动力学学报(英文)","volume":"3 4","pages":"373-382"},"PeriodicalIF":3.4,"publicationDate":"2023-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/msd2.12088","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138521808","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Performance analysis and material distribution optimization for sound barriers using a semianalytical meshless method 基于半解析无网格方法的声障性能分析及材料分布优化
IF 3.4
国际机械系统动力学学报(英文) Pub Date : 2023-10-30 DOI: 10.1002/msd2.12087
Hanqing Liu, Fajie Wang, Chuanzeng Zhang
{"title":"Performance analysis and material distribution optimization for sound barriers using a semianalytical meshless method","authors":"Hanqing Liu,&nbsp;Fajie Wang,&nbsp;Chuanzeng Zhang","doi":"10.1002/msd2.12087","DOIUrl":"10.1002/msd2.12087","url":null,"abstract":"<p>With the increase in car ownership, traffic noise pollution has increased considerably and is one of the most severe types of noise pollution that affects living standards. Noise reduction by sound barriers is a common protective measure used in this country and abroad. The acoustic performance of a sound barrier is highly dependent on its shape and material. In this paper, a semianalytical meshless Burton–Miller-type singular boundary method is proposed to analyze the acoustic performance of various shapes of sound barriers, and the distribution of sound-absorbing materials on the surface of sound barriers is optimized by combining a solid isotropic material with a penalization method. The acoustic effect of the sound-absorbing material is simplified as the acoustical impedance boundary condition. The objective of optimization is to minimize the sound pressure in a given reference plane. The volume of the sound-absorbing material is used as a constraint. The density of the nodes covered with the sound-absorbing material is used as the design variable. The method of moving asymptotes was used to update the design variables. This model completely avoids the mesh discretization process in the finite element method and requires only boundary nodes. In addition, the approach also does not require the singular integral calculation in the boundary element method. The method is illustrated and validated using numerical examples to demonstrate its accuracy and efficiency.</p>","PeriodicalId":60486,"journal":{"name":"国际机械系统动力学学报(英文)","volume":"3 4","pages":"331-344"},"PeriodicalIF":3.4,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/msd2.12087","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136104742","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Lie symmetries and conserved quantities of fractional nonconservative singular systems 分数非守恒奇异系统的李对称性和守恒量
国际机械系统动力学学报(英文) Pub Date : 2023-09-19 DOI: 10.1002/msd2.12086
Mingliang Zheng
{"title":"Lie symmetries and conserved quantities of fractional nonconservative singular systems","authors":"Mingliang Zheng","doi":"10.1002/msd2.12086","DOIUrl":"https://doi.org/10.1002/msd2.12086","url":null,"abstract":"<p>In this paper, according to the fractional factor derivative method, we study the Lie symmetry theory of fractional nonconservative singular Lagrange systems in a configuration space. First, fractional calculus is calculated by using the fractional factor, and the fractional equations of motion are derived by using the differential variational principle. Second, the determining equations and the limiting equations of Lie symmetry under an infinitesimal group transformation are obtained. Furthermore, the fractional conserved quantity form of singular Lagrange systems caused by Lie symmetry is obtained by constructing a gauge-generating function that fulfills the structural equation, which conforms to the Noether criterion equation. Finally, we present an example of a calculation. The results show that the Lie symmetry condition of nonconservative singular Lagrange systems is more strict than conservative singular systems, but because of increased invariance restriction, the nonconservative forces do not change the form of conserved quantity; meanwhile, the fractional factor method has high natural consistency with the integral calculus, so the theory of integer-order singular systems can be easily extended to fractional singular Lagrange systems.</p>","PeriodicalId":60486,"journal":{"name":"国际机械系统动力学学报(英文)","volume":"3 3","pages":"274-279"},"PeriodicalIF":0.0,"publicationDate":"2023-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/msd2.12086","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50138149","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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