Structural Matrix Analysis of Variable Curvature Curved Beam

DOI

10.2991/ifeesm-17.2018.314How to use a DOI?

Keywords

Element Stiffness Matrix, Variable Curvature Curved Beam, Element Flexibility Matrix, Equivalent Node Loads

Abstract

In this paper, the finite element analysis of a special form of variable curvature curved beam element is studied and equilibrium equations of variable curvature curved beam element are established in polar coordinates. Based on the principle of energy method, the relationship between nodes displacement and force is obtained and expressed in the form of matrix. By matrix integral operation, the variable curvature curved beam element flexibility matrix is obtained and is expressed in the form of analytic solution. By the element flexibility matrix inversion, the element stiffness matrix is obtained. The research achievement in this paper provides a new a kind of method in the research of finite element analysis of variable curvature curved beam. The finite element calculation of constant curvature curve beam is only a special case of the calculation method in this paper.

Copyright

© 2018, 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/).

Download article (PDF)

TY  - CONF
AU  - Changjun Dong
PY  - 2018/02
DA  - 2018/02
TI  - Structural Matrix Analysis of Variable Curvature Curved Beam
BT  - Proceedings of the 2017 3rd International Forum on Energy, Environment Science and Materials (IFEESM 2017)
PB  - Atlantis Press
SP  - 1727
EP  - 1733
SN  - 2352-5401
UR  - https://doi.org/10.2991/ifeesm-17.2018.314
DO  - 10.2991/ifeesm-17.2018.314
ID  - Dong2018/02
ER  -