Solving the kinetic equations with geometric nonlinearity considered
- https://doi.org/10.2991/ifeesm-17.2018.44How to use a DOI?
- geometric nonlinearity, dynamic analysis, finite element analysis
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.
- © 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 -