Open AccessTimoshenko Beams and the Hamiltonian System
Author(s) -
Weixin Zhang,
LM Yang
Publication year - 2020
Publication title -
iop conference series. earth and environmental science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.179
H-Index - 26
eISSN - 1755-1307
pISSN - 1755-1315
DOI - 10.1088/1755-1315/560/1/012018
Subject(s) - symplectic geometry , hamiltonian system , euclidean geometry , hamiltonian mechanics , lagrangian , hamiltonian (control theory) , classical mechanics , mechanical system , covariant hamiltonian field theory , mathematics , analytical mechanics , analytical dynamics , hamiltonian optics , elasticity (physics) , superintegrable hamiltonian system , calculus (dental) , geometry , physics , mathematical analysis , engineering , mechanical engineering , mathematical optimization , quantum mechanics , phase space , dentistry , quantum dynamics , quantum , thermodynamics , medicine
The significance of the transition from Lagrangian system to Hamiltonian system lies in that it has entered the form of symplectic geometry from the traditional Euclidean geometry and broken through the traditional concept, so that the dual mixed variable method has entered into the vast field of applied mechanics. Thus the Hamiltonian system method is very significant for engineering mechanics system and even mathematical physics method. It provides a powerful tool for discussing this kind of problems and improves the solution of elasticity to a new platform.