In this paper we study the higher-order differential variational principle and differential equations of motion for mechanical systems in event space. Based on the higher-order d＇Alembert principle of the system, the...In this paper we study the higher-order differential variational principle and differential equations of motion for mechanical systems in event space. Based on the higher-order d＇Alembert principle of the system, the higher-order velocity energy and the higher-order acceleration energy of the system in event space are defined, the higher-order d＇Alembert- Lagrange principle of the system in event space is established, and the parametric forms of Euler-Lagrange, Nielsen and Appell for this principle are given. Finally, the higher-order differential equations of motion for holonomic systems in event space are obtained.展开更多
This paper provides a teaching concept for control theory education based on Virtual Robot Experimentation Platform(V-REP).A cart inverted pendulum virtual physical model is developed on V-REP.Students must analyze,de...This paper provides a teaching concept for control theory education based on Virtual Robot Experimentation Platform(V-REP).A cart inverted pendulum virtual physical model is developed on V-REP.Students must analyze,design,and implement a suitable controller for the cart inverted pendulum system using their knowledge of the control theory.Different from traditional experiment and numerical simulation,virtual experiment is safe and less constrained.Moreover,the experiment results are more intuitive and obvious.This study can improve students’interest in learning the control theory and help students understand the relevant content better.展开更多
This study investigates the application of a support vector machine(SVM)-based model for classifying students’learning abilities in system modeling and simulation courses,aiming at enhancing personalized education.A ...This study investigates the application of a support vector machine(SVM)-based model for classifying students’learning abilities in system modeling and simulation courses,aiming at enhancing personalized education.A small dataset,collected from a pre-course questionnaire,is augmented with integer data to improve model performance.The SVM model achieves an accuracy rate of 95.3%.This approach not only benefits courses at Guizhou Minzu University but also has potential for broader application in similar programs in other institutions.The research provides a foundation for creating personalized learning paths using AI technologies,such as AI-generated content,large language models,and knowledge graphs,offering insights for innovative educational practices.展开更多
The moirésuperlattice,arising from the interface of mismatched single crystals,intricately regulates the physical and mechanical properties of materials,giving rise to phenomena such as superconductivity and supe...The moirésuperlattice,arising from the interface of mismatched single crystals,intricately regulates the physical and mechanical properties of materials,giving rise to phenomena such as superconductivity and superlubricity.This study delves into the profound impact of moirésuperlattices on the interfacial mechanical behavior of van der Waals(vdW)layered materials,with a particular focus on tribological properties.A comprehensive review of continuum modeling approaches for vdW layered materials is presented,accentuating the incorporation of moirésuperlattice effects in theoretical models to unravel their distinctive interfacial frictional behavior and thermodynamic properties.The exploration of moirésuperlattices has significantly advanced our fundamental understanding of interface phenomena in vdW layered materials.This progress provides crucial theoretical insights that can inform the design of multifunctional devices based on the unique properties of twisted layered materials.展开更多
Bound states in the continuum(BICs)have emerged as an efficient tool for trapping light at the nanoscale,promising several exciting applications in photonics.Breaking the structural symmetry has been proposed as an ef...Bound states in the continuum(BICs)have emerged as an efficient tool for trapping light at the nanoscale,promising several exciting applications in photonics.Breaking the structural symmetry has been proposed as an effective way of exciting quasiBICs(QBICs)and generating high-Q resonances.Herein,we demonstrate that QBICs can be excited in an all-dielectric metasurface by scaling the lattice of the metasurface,causing translational symmetry breaking.The corresponding BICs arise from band folding from the band edge to the Γ point in the first Brillouin zone.Multipole analysis reveals that the toroidal dipole dominates these QBICs.Furthermore,scaling the lattice along different directions provides additional freedom for tailoring QBICs,enabling polarization-dependent or-independent QBICs.In addition,this allows the realization of two QBICs at different wavelengths using plane-wave illumination with different polarizations on the metasurface.We experimentally demonstrated the existence of these BICs by fabricating silicon metasurfaces with scaled lattices and measuring their transmission spectra.The vanished resonant linewidth identifies BICs in the transmission spectrum,and the QBICs are characterized by highQ Fano resonances with the Q-factor reaching 2000.Our results have potential applications in enhancing light-matter interaction,such as laser,nonlinear harmonic generation,and strong coupling.展开更多
基金Project supported by the Science and Technology Program of Xi’an City,China(Grant No.CXY1352WL34)
文摘In this paper we study the higher-order differential variational principle and differential equations of motion for mechanical systems in event space. Based on the higher-order d＇Alembert principle of the system, the higher-order velocity energy and the higher-order acceleration energy of the system in event space are defined, the higher-order d＇Alembert- Lagrange principle of the system in event space is established, and the parametric forms of Euler-Lagrange, Nielsen and Appell for this principle are given. Finally, the higher-order differential equations of motion for holonomic systems in event space are obtained.
基金supported by the 2021 Higher Education Teaching Reform Research Project of SEAC(No.221057)2021 Ministry of Education Collaborative Education Project(No.202102646007)2022 Guizhou Province Gold Course Construction Project.
文摘This paper provides a teaching concept for control theory education based on Virtual Robot Experimentation Platform(V-REP).A cart inverted pendulum virtual physical model is developed on V-REP.Students must analyze,design,and implement a suitable controller for the cart inverted pendulum system using their knowledge of the control theory.Different from traditional experiment and numerical simulation,virtual experiment is safe and less constrained.Moreover,the experiment results are more intuitive and obvious.This study can improve students’interest in learning the control theory and help students understand the relevant content better.
基金supported by the 2021 Higher Education Teaching Reform Research and Practice Project of SEAC(Grant No.221057)2021 Ministry of Education Industry−University Cooperation Collaborative Education Project(Grant No.202102646007)2022 Guizhou Province Gold Course Construction Project.
文摘This study investigates the application of a support vector machine(SVM)-based model for classifying students’learning abilities in system modeling and simulation courses,aiming at enhancing personalized education.A small dataset,collected from a pre-course questionnaire,is augmented with integer data to improve model performance.The SVM model achieves an accuracy rate of 95.3%.This approach not only benefits courses at Guizhou Minzu University but also has potential for broader application in similar programs in other institutions.The research provides a foundation for creating personalized learning paths using AI technologies,such as AI-generated content,large language models,and knowledge graphs,offering insights for innovative educational practices.
基金Fundamental Research Funds for the Central Universities,Grant/Award Numbers:2042023kf0233,2042022kf1177Key Research and Development Program of Hubei Province,Grant/Award Number:2021BAA192+2 种基金National Natural Science Foundation of China,Grant/Award Numbers:12172260,12102307,11890673Wuhan UniversityChina Postdoctoral Science Foundation,Grant/Award Number:GZC20231978。
文摘The moirésuperlattice,arising from the interface of mismatched single crystals,intricately regulates the physical and mechanical properties of materials,giving rise to phenomena such as superconductivity and superlubricity.This study delves into the profound impact of moirésuperlattices on the interfacial mechanical behavior of van der Waals(vdW)layered materials,with a particular focus on tribological properties.A comprehensive review of continuum modeling approaches for vdW layered materials is presented,accentuating the incorporation of moirésuperlattice effects in theoretical models to unravel their distinctive interfacial frictional behavior and thermodynamic properties.The exploration of moirésuperlattices has significantly advanced our fundamental understanding of interface phenomena in vdW layered materials.This progress provides crucial theoretical insights that can inform the design of multifunctional devices based on the unique properties of twisted layered materials.
基金supported by the National Natural Science Foundation of China(Grant Nos.12004084,12164008,and 62261008)the Guizhou Provincial Science and Technology Projects(Grant No.ZK[2021]030)+8 种基金the Science and Technology Innovation Team Project of Guizhou Colleges and Universities(Grant No.[2023]060)the Science and Technology Talent Support Project of the Department of Education in the Guizhou Province(Grant No.KY[2018]043)the Construction Project of Characteristic Key Laboratory in Guizhou Colleges and Universities(Grant No.Y[2021]003)the Key Laboratory of Guizhou Minzu University(Grant No.GZMUSYS[2021]03)the Australian Research Council Discovery Project(Grant No.DP200101353)the UNSW Scientia Fellowship Programand the Shanghai Pujiang Program(Grant No.22PJ1402900)support from the Royal Societythe Wolfson Foundation。
文摘Bound states in the continuum(BICs)have emerged as an efficient tool for trapping light at the nanoscale,promising several exciting applications in photonics.Breaking the structural symmetry has been proposed as an effective way of exciting quasiBICs(QBICs)and generating high-Q resonances.Herein,we demonstrate that QBICs can be excited in an all-dielectric metasurface by scaling the lattice of the metasurface,causing translational symmetry breaking.The corresponding BICs arise from band folding from the band edge to the Γ point in the first Brillouin zone.Multipole analysis reveals that the toroidal dipole dominates these QBICs.Furthermore,scaling the lattice along different directions provides additional freedom for tailoring QBICs,enabling polarization-dependent or-independent QBICs.In addition,this allows the realization of two QBICs at different wavelengths using plane-wave illumination with different polarizations on the metasurface.We experimentally demonstrated the existence of these BICs by fabricating silicon metasurfaces with scaled lattices and measuring their transmission spectra.The vanished resonant linewidth identifies BICs in the transmission spectrum,and the QBICs are characterized by highQ Fano resonances with the Q-factor reaching 2000.Our results have potential applications in enhancing light-matter interaction,such as laser,nonlinear harmonic generation,and strong coupling.
