Investigation of critical load of structures using modified energy method in nonlinear-geometry solid mechanics problems

被引:0
作者
Razaghi, Ahmad [1 ]
Marnani, Jafar Asgari [1 ]
Rohanimanesh, Mohammad Sadegh [1 ]
机构
[1] Islamic Azad Univ, Dept Civil Engn, Cent Tehran Branch, Tehran, Iran
来源
NONLINEAR ENGINEERING - MODELING AND APPLICATION | 2022年 / 11卷 / 01期
关键词
finite-element method; geometrically nonlinear analysis; modified energy method; critical load; solid mechanics; IMPERFECT TRUSS STRUCTURES; DESIGN-ORIENTED ANALYSIS; INSTABILITY; FORMULATION; 1D;
D O I
10.1515/nleng-2022-0018
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
Geometrically nonlinear analysis is required for resolving issues such as loading causes failure and structure buckling analysis. Although numerical methods are recommended for estimating the exact solution, they lack the necessary convergence in the presence of bifurcation points, making it challenging to find the equilibrium path using these methods. Thus, the modified energy method is employed instead of the numerical method, frequently used to solve quasi-static problems with nonlinear nature and bifurcation points. The ultimate goal of this study is to determine the critical load of structures through the modified energy method rather than other methods in which the relationship between force, displacement, and constraint is used to solve the problem. This study first describes the energy method for this type of problem and then details its computational steps progressively. This method yields numerical results when applied to numerical examples such as truss and frame structures and coded in MATLAB software. These findings are compared to the analytical results. The energy method is more precise than the alternative methods and superior to the Newton-Raphson method at crossing the load-displacement curve's bifurcation points.
引用
收藏
页码:637 / 653
页数:17
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