云南高校图书馆联盟文献共享服务平台- HAMILTON

HAMILTON: 作品数：578被引量：918H指数：13; 导出分析报告; 相关领域：理学医药卫生更多>>; 相关作者：刘文德梅凤翔任文秀孙雁罗恩更多>>; 相关机构：上海交通大学哈尔滨师范大学大连理工大学内蒙古大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家教育部博士点基金国家重点基础研究发展计划中国博士后科学基金更多>>

Bending and wave propagation analysis of axially functionally graded beams based on a reformulated strain gradient elasticity theory: 《Applied Mathematics and Mechanics(English Edition)》2023年第10期1803-1820,共18页Shaopeng WANG Jun HONG Dao WEI Gongye ZHANG; Project supported by the National Natural Science Foundation of China (No. 12002086);the Fundamental Research Funds for the Central Universities of China (No. 2242022R40040)。; A new size-dependent axially functionally graded(AFG) micro-beam model is established with the application of a reformulated strain gradient elasticity theory(RSGET). The new micro-beam model incorporates the strain g...; 关键词：Timoshenko beam theory reformulated strain gradient elastic theory(RSGET) axially functionally graded(AFG)material Hamilton's principle

Multi-field coupling and free vibration of a sandwiched functionally-graded piezoelectric semiconductor plate被引量：1: 《Applied Mathematics and Mechanics(English Edition)》2023年第8期1351-1366,共16页Xueqian FANG Qilin HE Hongwei MA Changsong ZHU; supported by the National Natural Science Foundation of China(Nos.12172236 and 12202289)。; Sandwiched functionally-graded piezoelectric semiconductor(FGPS)plates possess high strength and excellent piezoelectric and semiconductor properties,and have significant potential applications in micro-electro-mechan...; 关键词：sandwiched piezoelectric semiconductor(PS)plate functionally-graded layer multi-field coupling free vibration Hamilton's principle

Effect of rotary inertia on stability of axially accelerating viscoelastic Rayleigh beams被引量：3: 《Applied Mathematics and Mechanics(English Edition)》2018年第5期717-732,共16页Bo WANG; Project supported by the National Natural Science Foundation of China(Nos.11202136,11372195,11502147,and 11602146); The dynamic stability of axially moving viscoelastic Rayleigh beams is pre- sented. The governing equation and simple support boundary condition are derived with the extended Hamilton＇s principle. The viscoelastic ma...; 关键词：axially moving Rayleigh beam extended Hamilton＇s principle parametric resonance differential quadrature method （DQM）

New way to construct high order Hamiltonian variational integrators: 《Applied Mathematics and Mechanics(English Edition)》2016年第8期1041-1052,共12页Minghui FU Kelang LU Weihua LI S. V. SHESHENIN; Project supported by the National Natural Science Foundation of China(Nos.11172334 and11202247);the Fundamental Research Funds for the Central Universities(No.2013390003161292); This paper develops a new approach to construct variational integrators. A simplified unconventional Hamilton＇s variational principle corresponding to initial value problems is proposed, which is convenient for appli...; 关键词：Hamiltonian system variational integrator symplectic algorithm unconventional Hamilton＇s variational principle nonlinear dynamics

Relations between cubic equation, stress tensor decomposition, and von Mises yield criterion: 《Applied Mathematics and Mechanics(English Edition)》2015年第10期1359-1370,共12页Haoyuan GUO Liyuan ZHANG Yajun YIN Yongxin GAO; supported by the National Natural Science Foundation of China(Nos.11072125 and11272175);the Specialized Research Fund for the Doctoral Program of Higher Education of China(No.20130002110044);the China Postdoctoral Science Foundation(No.2015M570035); Inspired by Cardano＇s method for solving cubic scalar equations, the addi- tive decomposition of spherical/deviatoric tensor （DSDT） is revisited from a new view- point. This decomposition simplifies the cubic tenso...; 关键词：Cardano＇s method Caylay-Hamilton theorem cubic tensor equation decomposition of spherical/deviatoric tensor （DSDT） von Mises yield criterion

LAGRANGIAN MECHANICS ON KAHLER MANIFOLDS: 《Applied Mathematics and Mechanics(English Edition)》2005年第10期1363-1374,共12页张荣业; Lagrangian mechanics on Kahler manifolds were discussed, and the complex mathematical aspects of Lagrangian operator, Lagrange＇s equation, the action functional, Hamilton＇ s principle, Hamilton＇ s equation and so o...; 关键词：Kahler manifold absolute differential Lagrangian operator Hamilton＇ s principle

HAMILTONIAN SYMPLECTIC SEMI-ANALYTICAL METHOD AND ITS APPLICATION IN INHOMOGENEOUS ELECTROMAGNETIC WAVEGUIDES: 《Applied Mathematics and Mechanics(English Edition)》2005年第3期389-395,共7页孙雁谢军; ProjectsupportedbytheNationalNaturalScienceFoundationofChina (Nos.1 0 1 3 2 0 1 0 ;1 0 1 0 2 0 1 1 ); Dual vectors are applied in Hamilton system of applied mechanics. Electric and magnetic field vectors are the dual vectors in electromagnetic field. The Hamilton system method is introduced into the analysis of electr...; 关键词：Hamilton) system symplectic geometry semi-analytical solution inhomogeneous electromagnetic waveguide

HAMILTON OPERATORS AND HOMOTHETIC MOTIONS IN R^3: 《Applied Mathematics and Mechanics(English Edition)》2004年第8期898-902,共5页Yusuf Yayli Nergiz Yaz Murat Kemal Karacan; Quaternion is a division ring.It is shown that planes passing through the origin can be made a field with the quaternion product in R~3.The Hamiltonian operators help us define the homothetic motions on these planes.N...; 关键词：Hamilton operator homothetic motion QUATERNION

HAMILTONIAN FORMULATION OF NONLINEAR WATER WAVES IN A TWO-FLUID SYSTEM被引量：2: 《Applied Mathematics and Mechanics(English Edition)》1999年第4期4-10,共7页卢东强戴世强张宝善; In this paper, it is dealt with that the Hamiltonian formulation of nonlinear water waves in a two_fluid system,which consists of two layers of constant_density incompressible inviscid fluid with a horizontal bottom,a...; 关键词：two_fluid system Hamilton's principle nonlinear water waves shallow water assumption Hamiltonian canonical equations

THE STATIONARY VALUE PROPERTY OF HAMILTON'S PRINCIPLE IN NON-HOLONOMIC SYSTEMS: 《Applied Mathematics and Mechanics(English Edition)》1997年第12期0-0,0-0+0-0+0-0,共8页梁立孚梁忠宏石志飞; This paper proves that Hanlilton's prmciple of both using the Appell-Chetaevcondition and not using the Appell-CHETAEV conditiion is the variational principle of stationary action.The relevant problems are discussed; 关键词：variational principle non-holonomic system stationary action analytical dynamics

HAMILTON