scholarly journals Nonlinear dynamic analysis method for large-scale single-layer lattice domes with uncertain-but-bounded parameters

2020 ◽  
Vol 203 ◽  
pp. 109780
Author(s):  
Huidong Zhang ◽  
Xinqun Zhu ◽  
Shu Yao
Keyword(s):  
Dynamic Analysis ◽  
Nonlinear Dynamic ◽  
Large Scale ◽  
Nonlinear Dynamic Analysis ◽  
Single Layer ◽  
Analysis Method

scholarly journals A new nonlinear dynamic analysis method of rotor system supported by oil-film journal bearings

2014 ◽  
Vol 38 (21-22) ◽  
pp. 5239-5255 ◽  
Author(s):  
Li-Hua Yang ◽  
Wei-Min Wang ◽  
Shi-Quan Zhao ◽  
Yan-Hua Sun ◽  
Lie Yu
Keyword(s):  
Dynamic Analysis ◽  
Nonlinear Dynamic ◽  
Nonlinear Dynamic Analysis ◽  
Journal Bearings ◽  
Rotor System ◽  
Analysis Method ◽  
Oil Film

An Efficient and Robust Nonlinear Dynamic Analysis Method for Framed Structures Using the Rigid Body Rule

2021 ◽  
Author(s):  
Zhaohui Chen ◽  
Min He ◽  
Yuchen Tao ◽  
Y. B. Yang
Keyword(s):  
Rigid Body ◽  
Dynamic Analysis ◽  
Nonlinear Dynamic ◽  
Integration Method ◽  
Nonlinear Dynamic Analysis ◽  
Direct Integration ◽  
Analysis Method ◽  
Framed Structures ◽  
Geometric Stiffness ◽  
Highly Nonlinear

In this paper, by implanting the rigid body rule (RBR)-based strategy for static nonlinear problems into the implicit direct integration procedure, an efficient and robustness nonlinear dynamic analysis method for the response of framed structures with large deflections and rotations is proposed. The implicit integration method proposed by Newmark is improved by inserting an intermediate time into the time step and by adding the 3-point backward difference in the second substep so as to preserve the momentum conservation and to maintain the stability of the direct integration method. To solve the equivalent incremental equations of motion, the RBR is built in to deal with the rigid rotations and the resulting additional nodal forces of element. During the increment-iterative procedure, the use of RBR-qualified geometric stiffness in the predictor reduces the numbers of iterations, while the elastic stiffness alone in the corrector to update the element nodal forces makes the computation efficiency and convergence with no virtual forces caused by the ill geometric stiffness. The proposed algorithm is advanced in the applications of several framed structures with highly nonlinear behavior in the dynamic response by its simplicity, efficient and robustness.

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