Solving the kinetic equations with geometric nonlinearity considered

DOI

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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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  - 10.2991/ifeesm-17.2018.44
ID  - Duan2018/02
ER  -