scholarly journals Application of Soft Computing Paradigm to Large Deformation Analysis of Cantilever Beam under Point Load

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-19
Author(s):  
Yanmei Cui ◽  
Yong Hong ◽  
Naveed Ahmad Khan ◽  
Muhammad Sulaiman
Keyword(s):  
Large Deformation ◽  
Cantilever Beam ◽  
Soft Computing ◽  
Structural Engineering ◽  
Nonlinear Models ◽  
Nonlinear Differential Equations ◽  
Point Load ◽  
Deformation Analysis ◽  
Concentrated Load ◽  
Computing Technique

In this paper, a mathematical model for large deformation of a cantilever beam subjected to tip-concentrated load is presented. The model is governed by nonlinear differential equations. Large deformation of a cantilever beam has number of applications is structural engineering. Since finding an exact solution to such nonlinear models is difficult task, this paper focuses on developing soft computing technique based on artificial neural networks (ANNs), generalized normal distribution optimization (GNDO) algorithm, and sequential quadratic programming (SQP). The strength of ANN modeling for governing the equation of cantilever beam is exploited by the global search ability of GNDO and further explored by the local search mechanism of SQP. Design scheme is evaluated for different cases depending on variations in dimensionless end-point load ρ . Furthermore, to validate the effectiveness and convergence of algorithm proposed technique, the results of the differential transformation method (DTM) and exact solutions are compared. The statistical analysis of performance indicators in terms of mean, median, and standard deviations further establishes the worth of ANN-GNDO-SQP algorithm.

scholarly journals Peridynamic Higher-Order Beam Formulation

2020 ◽  
Author(s):  
Zhenghao Yang ◽  
Erkan Oterkus ◽  
Selda Oterkus
Keyword(s):  
Finite Element Method ◽  
Cantilever Beam ◽  
Higher Order ◽  
Point Load ◽  
Transverse Displacement ◽  
Lagrange Equations ◽  
Concentrated Load ◽  
Simply Supported Beam ◽  
Simply Supported ◽  
Good Agreement

Abstract In this study, a novel higher-order peridynamic beam formulation is presented. The formulation is obtained by using Euler-Lagrange equations and Taylor’s expansion. To demonstrate the capability of the presented approach, several different beam configurations are considered including simply supported beam subjected to distributed loading, simply supported beam with concentrated load, clamped-clamped beam subjected to distributed loading, cantilever beam subjected to a point load at its free end and cantilever beam subjected to a moment at its free end. Transverse displacement results along the beam obtained from peridynamics and finite element method are compared with each other and very good agreement is obtained between the two approaches.

scholarly journals Dynamic large deformation analysis of a cantilever beam

2020 ◽  
Vol 174 ◽  
pp. 183-204
Author(s):  
H. Wei ◽  
Q.X. Pan ◽  
O.B. Adetoro ◽  
E. Avital ◽  
Y. Yuan ◽  
...  
Keyword(s):  
Large Deformation ◽  
Cantilever Beam ◽  
Deformation Analysis ◽  
Large Deformation Analysis

An Explicit Solution to Continuum Compliant Cantilever Beam Problem with Various Variational Iteration Algorithms

2019 ◽  
Vol 32 ◽  
pp. 1-13
Author(s):  
Theddeus T. Akano
Keyword(s):  
Large Deformation ◽  
Cantilever Beam ◽  
Nonlinear Problems ◽  
Point Load ◽  
Research Topic ◽  
Experimental Result ◽  
Variational Iteration ◽  
Vertical Displacements ◽  
The Difference ◽  
The Continuum

The geometric nonlinearity resulting from large deformation of compliant members has continued to be an interesting research topic in nonlinear mechanics. In this study, two standard variational iteration algorithms, VIM-I and VIM-III are employed to investigate the large deformation of the continuum compliant beam under point load. The VIM is an efficient technique that bypasses the linearization process and proffers solutions to nonlinear problems. The horizontal and vertical displacements of the continuum compliant cantilever beam free end are expressed in explicit analytical forms. Numerical experiment and simulations were carried out to validate the efficacy and applicability of the semi-analytical method. The VIM-I was split into two; VIM-I(A) and VIM-I(B), with the difference being the initial approximations. The results from the VIM-I(A), VIM-I(B) and VIM-III algorithms were compared with the experimental and exact solution. The outcomes reveal that both algorithms correlated well with the analytical solution and experimental result.

Large deformation analysis of moderately thick viscoelastic plates

2019 ◽  
Vol 163 ◽  
pp. 146-167 ◽  
Author(s):  
Nasrin Jafari ◽  
Mojtaba Azhari ◽  
Bijan Boroomand
Keyword(s):  
Large Deformation ◽  
Deformation Analysis ◽  
Large Deformation Analysis
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