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.

Nonlinear Dynamics Analysis of Flexible Deployable Linkage Mechanisms Using the Finite Particle Method

2021 ◽  
pp. 2150184
Author(s):  
Fangyu Wu ◽  
Ying Yu ◽  
Yongjie Zhao ◽  
Xiaojing Yuan
Keyword(s):  
Dynamic Effect ◽  
Particle Method ◽  
Internal Force ◽  
Body Motion ◽  
Structural Deformation ◽  
Actual Behavior ◽  
Space Technology ◽  
Linkage Mechanism ◽  
Equilibrium Equations ◽  
Finite Particle

Deployable mechanisms have notable applications in mechanical engineering, civil engineering, and space technology. Although often ignored, deployable linkage mechanism exhibits additional flexibility beyond rigid folding owing to the deformation of nonrigid components. The actual behavior of flexible deployable linkage usually involves the dynamic effect and geometric nonlinearity. Using the finite particle method (FPM), this study investigated the nonlinear responses of flexible deployable linkage mechanisms. As a particle method, the FPM is displacement based, explicit, and can avoid iterations to solve nonlinear equilibrium equations. It can be used for nonlinear analyses of structures with rigid body motion and infinitesimal mechanisms, and to determine the internal force and structural deformation. To investigate the nonrigid Bennett linkage and Bricard linkage, formulations of a three-dimensional beam element and revolute hinge element were derived for FPM analysis. Agreement between analytical solutions and numerical simulations demonstrated the efficiency of the proposed approach for nonlinear motion analysis of nonrigid mechanisms. The FPM results revealed that mechanism flexibility can cause deviation from rigid compatibility paths, and the internal force and deformation of mechanisms should be considered when designing nonrigid mechanisms.

scholarly journals Finite Particle Method-Based Collapse Simulation of Space Steel Frame Subjected to Earthquake Excitation

2018 ◽  
Vol 2018 ◽  
pp. 1-19
Author(s):  
Xiao-Hong Long ◽  
Rong Yue ◽  
Yong-Tao Ma ◽  
Jian Fan
Keyword(s):  
Nonlinear Problems ◽  
Particle Method ◽  
Steel Frame ◽  
Frame Structures ◽  
Response Analysis ◽  
Earthquake Excitation ◽  
Theoretical Derivation ◽  
Steel Frame Structures ◽  
Frame Member ◽  
Finite Particle

In the process of collapse failure of the space steel frame subjected to earthquake excitation, complex behaviors often are involved, including geometric nonlinearity, material nonlinearity, fracture, contact, and collisions. In view of the unique advantages of the finite particle method to analyze complex structural nonlinear problems, this paper utilized the finite particle method as the basic means of analysis and used MATLAB software for computational analysis. This paper first derived a finite particle method-based space steel frame model, conducted static analysis and dynamic response analysis under earthquake excitation, and compared findings with ANSYS analysis results to validate reliability. This paper established the fracture criterion and failure mode of a steel frame member. Theoretical derivation and numerical simulation indicate that the finite particle method is a feasible and effective way to simulate the collapse of space steel frame structures subjected to earthquake excitation. This method provides a new approach to study the collapse and anticollapse seismic design of space steel frame structures subjected to earthquake excitation.

Large Deflection Analysis of 3D Steel Frame Using Finite Particle Method

2012 ◽  
Vol 446-449 ◽  
pp. 283-287 ◽  
Author(s):  
Ying Yu ◽  
Yao Zhi Luo
Keyword(s):  
Large Deflection ◽  
Continuous System ◽  
Particle Method ◽  
Internal Force ◽  
Beam Element ◽  
Steel Frame ◽  
Deflection Analysis ◽  
Global Equilibrium ◽  
Vector Mechanics ◽  
Finite Particle

This paper presents the large deflection analysis of 3D steel frame using the Finite Particle Method (FPM). The FPM based on the vector mechanics discretizes the analyzed domain with finite particles whose motions are described by Newton’s second law. Instead of imposing a global equilibrium of the entire continuous system, FPM enforces equilibrium on each particle. One of the features of this approach is that no iterations to follow nonlinear laws are necessary, and no global matrices are formed or solved in this method. This paper provides the fundamentals of the FPM, including the structural discretization and particle motion equation. Then internal force formulations of 3D beam element are derived using the fictitious motion method. Two typical numerical examples are given to show the capability of the FPM in the large deflection analysis of 3D steel frame.

An analytical method for full-range mechanical behavior of continuous slab-deck in multi-span simply supported concrete bridges

2021 ◽  
pp. 136943322110427
Author(s):  
Xiang Zhang ◽  
Quan-Sheng Yan ◽  
Bu-Yu Jia ◽  
Zheng Yang ◽  
Ying-Hao Zhao ◽  
...  
Keyword(s):  
Nonlinear Analysis ◽  
Full Range ◽  
Scale Model ◽  
Axial Stiffness ◽  
Spring Model ◽  
Analysis Model ◽  
Rotational Spring ◽  
Simply Supported ◽  
Continuous Slab ◽  
Rotational Spring Model

Connecting the ends of girders with a continuous slab-deck to make a multiple-span simply supported girder bridge provides many benefits, but there is no suitable nonlinear analysis model which considers continuous slab-deck cracking under tension and bending. In this article, the rotational spring model is further refined to replace the restraining effects at both ends of the girder by the simplified mechanical model associated with axial stiffness, bending stiffness, and shear stiffness. Then, it is introduced into the analysis of continuous slab-deck. The more accurate rotations and displacements of both ends of continuous slab-deck are obtained to investigate the more precise moment and tension of the continuous slab-deck. Furthermore, this article presents an improved nonlinear analysis model of continuous slab-deck based on a detailed boundary rotational spring model. The displacements of important positions and the strain of key components in continuous slab-deck after cracking are investigated by numerical analysis and full-scale model test to verify the accuracy of the proposed nonlinear analysis model. The result shows that the nonlinear analysis model presented in this article could successfully evaluate the depth of cracks and the stress of rebars in continuous slab-deck, and it is instructional in predicting the cracking state of the continuous slab-deck and the reinforcement design.

Dynamic Nonlinear Analysis of an Hybrid Base Isolation System with Viscous Dampers and Friction Sliders in Parallel

2012 ◽  
Vol 234 ◽  
pp. 96-101 ◽  
Author(s):  
Donato Cancellara ◽  
Fabio de Angelis
Keyword(s):  
Nonlinear Analysis ◽  
Base Isolation ◽  
Three Dimensional ◽  
Time History ◽  
Seismic Action ◽  
Viscous Dampers ◽  
Isolation System ◽  
Fixed Base ◽  
Base Isolation System ◽  
Dynamic Nonlinear Analysis

In the present work we have analyzed a particular base isolation system for the seismic protection of a multi-storey reinforced concrete (RC) building. The viscous dampers and friction sliders are the devices adopted in parallel for realizing the base isolation system. The base isolation structure has been designed and verified according to European seismic code EC8 and by considering for the friction sliders the influence of the sliding velocity on the value of the friction coefficient. A dynamic nonlinear analysis for a three-dimensional base isolated structure has been performed. Recorded accelerograms for bi-directional ground motions have been used which comply with the requirements imposed by EC8 for the representation of a seismic action in a time history analysis. In this paper a comparative analysis is presented between the base isolated structure with the described hybrid base isolation system and the traditional fixed base structure.

Nonlinear problems of structural mechanics. Methods of optimal design of structures

2021 ◽  
Author(s):  
Boris Tuhfatullin
Keyword(s):  
Optimal Design ◽  
Steel Frames ◽  
Nonlinear Problems ◽  
Structural Mechanics ◽  
Linear And Nonlinear Programming ◽  
Several Variables ◽  
Construction Mechanics ◽  
Flat Steel ◽  
Linear And Nonlinear ◽  
Modern Technologies

The textbook discusses methods of optimal design of structures, including methods for minimizing the functions of one and several variables; methods for solving linear and nonlinear programming problems; examples of optimal design of flat steel frames with elements made of rolled and composite I-beams. It is intended for students studying in the specialty 08.05.01 "Construction of unique buildings and structures", undergraduates studying in the training program 08.04.01.24 "Modern technologies of design and construction of buildings and structures", studying the discipline "Nonlinear problems of structural mechanics", as well as for postgraduates of the direction 08.06.01 " Engineering and construction technologies. Construction of buildings and structures", studying the discipline "Construction Mechanics".

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