Nonlinear dynamic collapse analysis of semi-rigid steel frames based on the finite particle method

2016 ◽  
Vol 118 ◽  
pp. 383-393 ◽  
Author(s):  
Ying Yu ◽  
Xingyi Zhu
Keyword(s):  
Nonlinear Dynamic ◽  
Steel Frames ◽  
Particle Method ◽  
Collapse Analysis ◽  
Finite Particle

Dynamic Nonlinear Analysis of Semi-Rigid Steel Frames Based on the Finite Particle Method

2015 ◽  
Vol 744-746 ◽  
pp. 71-77
Author(s):  
Ying Yu ◽  
Lin Jin ◽  
Ping Xia
Keyword(s):  
Nonlinear Analysis ◽  
Steel Frames ◽  
Nonlinear Behavior ◽  
Nonlinear Problems ◽  
Particle Method ◽  
Spring Model ◽  
Equilibrium Equations ◽  
Vector Mechanics ◽  
Dynamic Nonlinear Analysis ◽  
Finite Particle

The Finite Particle Method (FPM), based on the Vector Mechanics, is a new structural analysis method. This paper explores the possibility of the proposed method being applied in the dynamic nonlinear analysis of semi-rigid steel frames. Taking the two dimensional beam element as an example, the formulations of the FPM to calculate the dynamic and geometric nonlinear problems are derived. Spring model with zero-length is adopted to simulate the relationship between internal forces and deformations of the semi-rigid steel connections. The nonlinear strengthen spring model is used to analyze the nonlinear behavior of the semi-rigid connection. Explicit time integrations are used to solve equilibrium equations. Comparing to traditional Finite Element Method, iterations and special modifications are not needed during the dynamic nonlinear analysis, which is more advantageous in structural complex behavior analysis. Two numerical examples are presented to analyze the behaviors of rigid and semi-rigid steel frames, and behaviors of linear and nonlinear semi-rigid connections, which demonstrate the accuracy and applicability of this method in dynamic nonlinear analysis.

Formulation for nonlinear dynamic analysis of steel frames considering the plastic zone method

2020 ◽  
Vol 223 ◽  
pp. 111197
Author(s):  
Harley Francisco Viana ◽  
Renata Gomes Lanna da Silva ◽  
Rodrigo Sernizon Costa ◽  
Armando Cesar Campos Lavall
Keyword(s):  
Plastic Zone ◽  
Dynamic Analysis ◽  
Nonlinear Dynamic ◽  
Steel Frames ◽  
Nonlinear Dynamic Analysis ◽  
Zone Method

Tensegrity Form-Finding Using Finite Particle Method

2011 ◽  
Vol 201-203 ◽  
pp. 1166-1169
Author(s):  
Xian Xu ◽  
Ying Yu ◽  
Yao Zhi Luo ◽  
Yan Bin Shen
Keyword(s):  
Large Scale ◽  
Particle Method ◽  
Relaxation Method ◽  
Dynamic Relaxation ◽  
Form Finding ◽  
Mathematical Functions ◽  
Tensegrity Systems ◽  
Effective Form ◽  
Dynamic Relaxation Method ◽  
Finite Particle

In this paper, a new method, so-called finite particle method, for form-finding of tensegrity systems is proposed. It models the analyzed domain by finite particles instead of mathematical functions and continuous bodies in traditional mechanics. Examples including simple regular tensegrity systems and complex irregular tensegrity systems are carried out to verify the feasibility and effectiveness of the method. Also a comparison between the proposed method and the dynamic relaxation method is conducted. It proves that the proposed method is much more effective than the dynamic relaxation method in the form-finding of large-scale tensegrity systems. Hence, the proposed method has a great potential of developing into a general and effective form-finding method for irregular and large-scale tensegrity systems.

An Improved Specified Finite Particle Method and Its Application to Transient Heat Conduction

2016 ◽  
Vol 14 (05) ◽  
pp. 1750050 ◽  
Author(s):  
Lu Wang ◽  
Fei Xu ◽  
Yang Yang
Keyword(s):  
Heat Conduction ◽  
Matrix Theory ◽  
Taylor Series Expansion ◽  
Particle Method ◽  
Transient Heat Conduction ◽  
Boundary Region ◽  
The Matrix ◽  
Particle Hydrodynamics ◽  
Smoothed Particle ◽  
Finite Particle

Compared with the traditional Smoothed Particle Hydrodynamics (SPH), Finite Particle Method (FPM) has higher accuracy for boundary region. However, there are still two inherent defects which are the time consuming and the numerical instability in FPM. In this paper, a high-order algorithm based on the Taylor series expansion and the matrix theory is proposed and the corresponding particles selected mode is discussed. It is validated that the algorithm has higher-order accuracy than the previous low-order improvement algorithm for FPM. Further, transient heat conduction examples have been discussed to verify the feasibility and effectiveness of the new algorithm.

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