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《Journal of Anhui Normal University(Natural Science)》 2011-06
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Formulation and Solution of a New Inverse Problem of Lagrangian Dynamics

DING Guang-tao(College of Physics and Electronic Information,Anhui Normal University,Wuhu 241000,China)  
A new kind of inverse problem in Lagrangian dynamics is presented.We give a new method for construction of Lagrangians directly from properties of motion,i.e.to construct Lagrangians by the first integral with modified factors.The different ways to introduce complementary conditions are discussed.Two examples are given to illustrate the application of the results.
【CateGory Index】: O316
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【Citations】
Chinese Journal Full-text Database 4 Hits
1 DING Guang-tao(College of Physics and Electronic Information,Anhui Normal University,Wuhu 241000,China);Discussion on the State Space of Mechanical System[J];Journal of Anhui Normal University(Natural Science);2010-06
2 DING Guang-tao(College of Physics and Electronic Information,Anhui Normal University,Wuhu 241000,China);Analysis of the Kinds of Time Differentials in the Variatioanal Principle[J];Journal of Anhui Normal University(Natural Science);2011-05
3 Ding Guangtao(College of Physics and Electronic Infofmation,Anhui Normal University,Wuhu 241000,China);A DIRECT APPROACH TO CONSTRUCTION OF THE LAGRANGIAN FROM THE FIRST INTEGRAL[J];Journal of Dynamics and Control;2011-02
4 Ding Guang-Tao(The Collega of Physics and Electronic Information,Anhui Normal University,Wuhu 241000,China);A new approach to the construction of Lagrangians and Hamiltonians for one-dimensional dissipative systems with variable coefficients[J];Acta Physica Sinica;2011-04
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 DING Guang-tao(College of Physics and Electronic Information,Anhui Normal University,Wuhu 241000,China);Analysis of the Kinds of Time Differentials in the Variatioanal Principle[J];Journal of Anhui Normal University(Natural Science);2011-05
2 Ding Guangtao (College of Physics and Electronic Information,Anhui Normal University,Wuhu 241000,China);ON THE EXISTENCE CONDITIONS FOR A CLASS OF THE LAGRANGIANS FAMILIES[J];Journal of Dynamics and Control;2011-03
3 Ding Guangtao(College of Physics and Electronic Information,Anhui Normal University,Wuhu 241000,China);RESTUDY ON THE FAMILY OF LAGRANGIANS AND ITS EXISTENCE CONDITIONS[J];Journal of Dynamics and Control;2012-02
4 Ding Guangtao(The College of Physics and Electronic Information,Anhui Normal University,Wuhu 241000,China);THE CONSTRUCTION OF LAGRANGIANS FOR DISSIPATIVE-LIKE SYSTEMS BY USING THE TRANSFORMATIONS OF VARIABLES[J];Journal of Dynamics and Control;2012-03
5 DING Guang-tao(College of Physics and Electronic Information,Anhui Normal University,Wuhu 241000,China);From First Integral to Construct Lagrangian and Equivalent Lagrangians[J];Journal of Anhui Normal University(Natural Science);2012-04
6 Gu Shu-long(School of Physics and electronic engineering,Nanjing Xiaozhuang College,Nanjing 211171,China);Noether Symmetry and the Hojman Conserved Quantity of the the H·non-Heiles System[J];Journal of Anhui Normal University(Natural Science);2012-04
7 DING Guang-tao(College of Physics and Electronic Information,Anhui Normal University,Wuhu 241000,China);The State Space and Birkhoffian Mechanics[J];Journal of Anhui Normal University(Natural Science);2012-05
8 DING Guang-tao;College of Physics and Electronic Information,Anhui Normal University;;Discussion on Classification of Constraints[J];Journal of Anhui Normal University(Natural Science);2014-05
9 Ding Guangtao;College of Physics and Electronic Information,Anhui Normal University;;LAGRANGIANS AND HAMILTONIANS OF THREE COUPLED RLC CIRCUITS[J];Journal of Dynamics and Control;2014-04
10 ZHAO Tong-fan1,WANG Li2,SONG Hai-zhen2,LI Shuo2(1.Audio-visual Education Center,Department of Education Henan Province,Zhengzhou 450004,China; 2.School of Physics and Electronic Engineering,Nanyang Normal University,Nanyang 473061,China);The variation principle of differential form and application[J];Journal of Nanyang Normal University;2013-03
【Secondary Citations】
Chinese Journal Full-text Database 10 Hits
1 Ding Guangtao(Department of Physics);A Variational Principle and Equations of Motion in the State Space[J];Journal of Anhui Normal University(Natural Science);1989-01
2 DING Guang-tao(College of Physics and Electrical Information,Anhui Normal University,Wuhu 241000,China);Effects of Equivalent Transformations of Lagrange Functions on Symmetries and Conserved Quantities of Mechanics Systems[J];Journal of Anhui Normal University(Natural Science);2009-01
3 DING Guang-tao(College of Physics and Electronic Information,Anhui Normal University,Wuhu 241000,China);Discussion on the State Space of Mechanical System[J];Journal of Anhui Normal University(Natural Science);2010-06
4 Ding Guangtao(The Night College of Anhui Normal University,241000,wuhu,Anhui,PRC);A DIRECT METHOD FOR THE CONSTRUCTION OF A LAGRANGIAN[J];Journal of Anhui Normal University(Natural Science);1996-04
5 Ding Guangtao(College of Physics and Electronic Information, Anhui Normal University,Wuhu 241000, China );DIRECT SOLUTIONS FOR INVERSE PROBLEM OF FIRST-ORDER LAGRANGIAN MECHANICS[J];Journal of Dynamics and Control;2010-03
6 Ding Guangtao(The College of Physics and Electronic Information,Anhui Normal University,Wuhu 241000,China);A DIRECT APPROACH TO THE CONSTRUCTION OF LAGRANGIANS FROM THE MOTION EQUATION[J];Journal of Dynamics and Control;2010-04
7 MEI Fengxiang Department of Mechanics,Beijing Institute of Technology,Beijing 100081,China;ADVANCES IN THE SYMMETRIES AND CONSERVED QUANTITIES OF CLASSICAL CONSTRAINED SYSTEMS[J];Advances in Mechanics;2009-01
8 Wu Hui-Bin Mei Feng-Xiang(Faculty of Science, Beijing Institute of Technology, Beijing 100081, China);Two comprehensions on Noether symmetry[J];Acta Physica Sinica;2006-08
9 Mei Feng-Xiang Xie Jia-Fang Gang Tie-Qiang(Department of Mechanics, Faculty of Science, Beijing Institute of Technology, Beijing 100081, China);Methods of analytical mechanics for integrating the Emden-Fowler equation[J];Acta Physica Sinica;2007-09
10 Ding Guang-Tao (College of Physics and Electronic Information,Anhui Normal University,Wuhu 241000,China);Hojman method for construction of Birkhoffian representation and the Birkhoff symmetry[J];Acta Physica Sinica;2010-06
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