NONCONSERVATIVE

作品数：32被引量：134H指数：6
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相关期刊：《Science China Mathematics》《Acta Mathematica Scientia》《Chinese Annals of Mathematics,Series B》《Chinese Journal of Mechanical Engineering》更多>>
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Dynamic Modeling of Robotic Manipulator via an Augmented Deep Lagrangian Network
《Tsinghua Science and Technology》2024年第5期1604-1614,共11页Shuangshuang Wu Zhiming Li Wenbai Chen Fuchun Sun 
supported by the National Natural Science Foundation of China(No.62276028);Major Research Plan of the National Natural Science Foundation of China(No.92267110);Beijing Municipal Natural Science Foundation—Xiaomi Joint Innovation Fund(No.L233006);Beijing Information Science and Technology University School Research Fund(No.2023XJJ12).
Learning the accurate dynamics of robotic systems directly from the trajectory data is currently a prominent research focus.Recent physics-enforced networks,exemplified by Hamiltonian neural networks and Lagrangian ne...
关键词：deep Lagrangian network nonconservative dynamics multi-degree manipulator inverse dynamic modeling 
Lie symmetries and conserved quantities of fractional nonconservative singular systems被引量：1
《International Journal of Mechanical System Dynamics》2023年第3期274-279,共6页Mingliang Zheng 
Jiangsu Key Laboratory of Green Process Equipment,Grant/Award Number:GPE202203;Qing Lan Project of Universities in Jiangsu Province,Grant/Award Number:2022-29。
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 calcula...
关键词：fractional factor nonconservative singular systems Lie symmetry conserved quantity 
Noether Theorem of Herglotz-Type for Nonconservative Hamilton Systems in Event Space被引量：6
《Wuhan University Journal of Natural Sciences》2021年第5期376-382,共7页ZHANG Yi CAI Jinxiang 
Supported by the National Natural Science Foundation of China (11972241, 11572212);the Natural Science Foundation of Jiangsu Province (BK20191454)。
Focusing on the exploration of symmetry and conservation laws in event space, this paper studies Noether theorems of Herglotz-type for nonconservative Hamilton system. Herglotz’s generalized variational principle is ...
关键词：Herglotz’s generalized variational principle Noether theorem nonconservative Hamilton system event space 
The Riemann Problem for Chaplygin Gas Flow in a Duct with Discontinuous Cross-Section
《Chinese Annals of Mathematics,Series B》2020年第4期531-546,共16页Liancheng DANG Wancheng SHENG 
the National Natural Science Foundation of China(Nos.11371240,11771274)。
The fluid flows in a variable cross-section duct are nonconservative because of the source term.Recently,the Riemann problem and the interactions of the elementary waves for the compressible isentropic gas in a variab...
关键词：Duct flow Chaplygin gas equations NONCONSERVATIVE Riemann problem Delta wave Stationary wave 
Recent Advances on Herglotz’s Generalized Variational Principle of Nonconservative Dynamics被引量：6
《Transactions of Nanjing University of Aeronautics and Astronautics》2020年第1期13-26,共14页ZHANG Yi 
supported by the National Natural Science Foundations of China (Nos. 11972241,11572212,11272227);the Natural Science Foundation of Jiangsu Province(No. BK20191454).
This paper summarized the recent development on Herglotz’s generalized variational principle and its symmetries and conserved quantities for nonconservative dynamical systems.Taking Lagrangian mechanics,Hamiltonian m...
关键词：nonconservative dynamics Herglotz’s generalized variational principle Lagrangian mechanics Hamil-tonian mechanics Birkhoffian mechanics 
Discrete Fractional Lagrange Equations of Nonconservative Systems被引量：3
《Transactions of Nanjing University of Aeronautics and Astronautics》2019年第1期175-180,共6页SONG Chuanjing ZHANG Yi 
supported by the National Natural Science Foundation of China(Nos.11802193, 11572212,11272227);the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (18KJB130005);the Science Research Foundation of Suzhou University of Science and Technology(331812137);Natural Science Foundation of Suzhou University of Science and Technology
In order to study discrete nonconservative system,Hamilton's principle within fractional difference operators of Riemann-Liouville type is given. Discrete Lagrange equations of the nonconservative system as well as th...
关键词：DISCRETE LAGRANGE equation time scale FRACTIONAL DIFFERENCE OPERATOR NONCONSERVATIVE system 
REVIEW ON MATHEMATICAL ANALYSIS OF SOME TWO-PHASE FLOW MODELS被引量：3
《Acta Mathematica Scientia》2018年第5期1617-1636,共20页Huanyao WEN Lei YAO Changjiang ZHU 
supported by the National Natural Science Foundation of China(11722104,11671150);supported by the National Natural Science Foundation of China(11571280,11331005);supported by the National Natural Science Foundation of China(11331005,11771150);by GDUPS(2016);the Fundamental Research Funds for the Central Universities of China(D2172260);FANEDD No.201315
The two-phase flow models are commonly used in industrial applications, such as nuclear, power, chemical-process, oil-and-gas, cryogenics, bio-medical, micro-technology and so on. This is a survey paper on the study o...
关键词：compressible nonconservative two-fluid model drift-flux model viscous liquid-gas two-phase flow model WELL-POSEDNESS 
Path Integral Quantization of Nonconservative Systems
《Journal of Applied Mathematics and Physics》2018年第8期1637-1641,共5页Ola A. Jarab’ah Khaled I. Nawafleh 
In this paper nonconservative systems are investigated within the framework of Euler Lagrange equations. The solutions of these equations are used to find the principal function S, this function is used to formulate t...
关键词：PATH INTEGRAL IRREGULAR LAGRANGIAN NONCONSERVATIVE Systems Wave FUNCTION Principal FUNCTION 
Discussion of Direct Numerical Simulation Method for Supercritical Carbon Dioxide Jet Flow
《Journal of Modern Physics》2013年第10期1429-1436,共8页Hui Gao Guoqing Hu 
A kind of direct numerical simulation method suitable for supercritical carbon dioxide jet flow has been discussed in this paper. The form of dimensionless nonconservative compressible Navier-Stokes equations in a two...
关键词：DIRECT Numerical Simulation SUPERCRITICAL Carbon Dioxide Jet Flow NONCONSERVATIVE COMPRESSIBLE NAVIER-STOKES EQUATIONS 
Noether symmetries of the nonconservative and nonholonomic systems on time scales被引量：56
《Science China(Physics,Mechanics & Astronomy)》2013年第5期1017-1028,共12页CAI PingPing FU JingLi GUO YongXin 
supported by the National Natural Science Foundations of China (Grant Nos.11072218 and 11272287);the Natural Science Foundations of Zhejiang Province of China (Grant No.Y6110314)
In this paper we give a new method to investigate Noether symmetries and conservation laws of nonconservative and nonholonomic mechanical systems on time scales , which unifies the Noether's theories of the two cases ...
关键词：time scale Lagrange equation delta derivative Noether＇s theorem nonconservative and nonholonomic system 
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