Proceedings of the 2017 3rd International Forum on Energy, Environment Science and Materials (IFEESM 2017)

Solving the kinetic equations with geometric nonlinearity considered

Authors
Jin Duan, Yun-Gui Li
Corresponding Author
Jin Duan
Available Online February 2018.
DOI
https://doi.org/10.2991/ifeesm-17.2018.44How to use a DOI?
Keywords
geometric nonlinearity, dynamic analysis, finite element analysis
Abstract

This paper presents a new time integration method to solve the kinetic equations with geometric nonlinearity considered, by combining the Newmark integration method and Newton-Raphson iteration method. In this method, the Newmark method is used for the time history integration and the Newton-Raphson iteration method is adopted to solve the nonlinear equation at current time step. The solving procedure of nonlinear dynamic equations is divided into two procedures, i.e. prediction and correction. Finally, a numerical example of a clamped beam subjected to a concentrated step load is presented to verify the validity and accuracy of the present method.

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/).

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Volume Title
Proceedings of the 2017 3rd International Forum on Energy, Environment Science and Materials (IFEESM 2017)
Series
Advances in Engineering Research
Publication Date
February 2018
ISBN
978-94-6252-453-8
ISSN
2352-5401
DOI
https://doi.org/10.2991/ifeesm-17.2018.44How to use a DOI?
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/).

Cite this article

TY  - CONF
AU  - Jin Duan
AU  - Yun-Gui Li
PY  - 2018/02
DA  - 2018/02
TI  - Solving the kinetic equations with geometric nonlinearity considered
BT  - Proceedings of the 2017 3rd International Forum on Energy, Environment Science and Materials (IFEESM 2017)
PB  - Atlantis Press
SP  - 234
EP  - 238
SN  - 2352-5401
UR  - https://doi.org/10.2991/ifeesm-17.2018.44
DO  - https://doi.org/10.2991/ifeesm-17.2018.44
ID  - Duan2018/02
ER  -