Elastic bending solutions in the Hamiltonian system

DOI

10.2991/iceep-17.2017.246How to use a DOI?

Keywords

Hamiltonian system; cantilever-beam; eigenvector

Abstract

In this paper, we introduce the Hamiltonian system to study bending problems of elastic cantilever-beam. The variational method and the variable seperation method are employed to establish the dual governing equations. Due to the completeness property of the eigenvectors, the solution can be expressed by the linear combination of these eigenvectors, and the coefficients of the combination are determined by the boundary conditions. In the numerical results, stress distributions of bending deformation are discussed.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Weixiang Zhang
AU  - Li Chen
PY  - 2017/06
DA  - 2017/06
TI  - Elastic bending solutions in the Hamiltonian system
BT  - Proceedings of the 2017 6th International Conference on Energy and Environmental Protection (ICEEP 2017)
PB  - Atlantis Press
SP  - 1394
EP  - 1398
SN  - 2352-5401
UR  - https://doi.org/10.2991/iceep-17.2017.246
DO  - 10.2991/iceep-17.2017.246
ID  - Zhang2017/06
ER  -