Non-linear bending of a rod

In this report, literature research on non-linear bending of a rod as well as soft materials such as hydrogel were conducted. Relevant information as well as required equations was used in the study of this report. The information from the literature research were investigated and checked by proof...

Full description

Saved in:
Bibliographic Details
Main Author: Chua, Kian Giap.
Other Authors: Wu Mao See
Format: Final Year Project
Language:English
Published: 2011
Subjects:
Online Access:http://hdl.handle.net/10356/45683
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Nanyang Technological University
Language: English
id sg-ntu-dr.10356-45683
record_format dspace
spelling sg-ntu-dr.10356-456832023-03-04T19:07:34Z Non-linear bending of a rod Chua, Kian Giap. Wu Mao See School of Mechanical and Aerospace Engineering DRNTU::Engineering::Mechanical engineering::Kinematics and dynamics of machinery In this report, literature research on non-linear bending of a rod as well as soft materials such as hydrogel were conducted. Relevant information as well as required equations was used in the study of this report. The information from the literature research were investigated and checked by proof of calculation, plotting of graphs and checking for error of approximation. After that, simulations were done using software, Mathematica, which can be used to simulate the deflections and angle of deflections by using the necessary equations and inputting the parameters. This allows a detailed parametric study where individual parameter can be studied on the effects it have on the beam deflection along Y-axis (δy) and deflection angle (θ) by varying the individual parameter and fixing the remaining parameters’ values. The parametric study is split into 3 categories. First is Material Constants where the relationship between Young’s Modulus (E) of the material and δy and θ under fixed force and moment loading is studied. The result shows an inverse and exponential relationship. The second category is dimension changes where dimensions such as length (l), breadth (b) and height (h) of the beam are varied individually and combined in different scenarios to investigate the relationship between the dimensions and the δy and θ. In general, we deduce that a beam of larger dimension will result in smaller δy and θ compared to a beam of smaller dimensions even when the ratio of b: h: l is kept constant. Even though the relationships of individual dimensions to δy and θ might be different, but as a whole, they portray an inverse and exponential relationship to δy and θ. The third and last category will be force and moment loading. This is further broken down into study of 3 individual parameters, transverse force loading, axial force loading and moment loading. The transverse force loading portrays a direct and linear relationship to δy as well as θ. The axial force loading shows an inverse and exponential relationship to δy and θ. Lastly, the moment loading exhibits a direct and linear relationship to δy and θ. These parametric studies will be very useful for designing materials for specific applications where specific deformations and deformation angles have to be met during a specific environment condition. Bachelor of Engineering (Mechanical Engineering) 2011-06-16T03:06:10Z 2011-06-16T03:06:10Z 2011 2011 Final Year Project (FYP) http://hdl.handle.net/10356/45683 en Nanyang Technological University 62 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Engineering::Mechanical engineering::Kinematics and dynamics of machinery
spellingShingle DRNTU::Engineering::Mechanical engineering::Kinematics and dynamics of machinery
Chua, Kian Giap.
Non-linear bending of a rod
description In this report, literature research on non-linear bending of a rod as well as soft materials such as hydrogel were conducted. Relevant information as well as required equations was used in the study of this report. The information from the literature research were investigated and checked by proof of calculation, plotting of graphs and checking for error of approximation. After that, simulations were done using software, Mathematica, which can be used to simulate the deflections and angle of deflections by using the necessary equations and inputting the parameters. This allows a detailed parametric study where individual parameter can be studied on the effects it have on the beam deflection along Y-axis (δy) and deflection angle (θ) by varying the individual parameter and fixing the remaining parameters’ values. The parametric study is split into 3 categories. First is Material Constants where the relationship between Young’s Modulus (E) of the material and δy and θ under fixed force and moment loading is studied. The result shows an inverse and exponential relationship. The second category is dimension changes where dimensions such as length (l), breadth (b) and height (h) of the beam are varied individually and combined in different scenarios to investigate the relationship between the dimensions and the δy and θ. In general, we deduce that a beam of larger dimension will result in smaller δy and θ compared to a beam of smaller dimensions even when the ratio of b: h: l is kept constant. Even though the relationships of individual dimensions to δy and θ might be different, but as a whole, they portray an inverse and exponential relationship to δy and θ. The third and last category will be force and moment loading. This is further broken down into study of 3 individual parameters, transverse force loading, axial force loading and moment loading. The transverse force loading portrays a direct and linear relationship to δy as well as θ. The axial force loading shows an inverse and exponential relationship to δy and θ. Lastly, the moment loading exhibits a direct and linear relationship to δy and θ. These parametric studies will be very useful for designing materials for specific applications where specific deformations and deformation angles have to be met during a specific environment condition.
author2 Wu Mao See
author_facet Wu Mao See
Chua, Kian Giap.
format Final Year Project
author Chua, Kian Giap.
author_sort Chua, Kian Giap.
title Non-linear bending of a rod
title_short Non-linear bending of a rod
title_full Non-linear bending of a rod
title_fullStr Non-linear bending of a rod
title_full_unstemmed Non-linear bending of a rod
title_sort non-linear bending of a rod
publishDate 2011
url http://hdl.handle.net/10356/45683
_version_ 1759854225687314432