Download presentation

Presentation is loading. Please wait.

Published byLilliana Pyles Modified over 4 years ago

1
Development of Curved Thermoplastic Composite Tubes Theory and Experiment Prepared by: Hamidreza Yazdani Supervised by: Dr. Suong. V. Hoa and Dr. Mehdi Hojjati

2
Outline Problem statement Literature review Toroidal Elasticity Theory Conclusions Future works 2

3
Problem Statement Aluminum landing gears have some technical issues Fabrication is difficult and expensive Failure due to the corrosion and Fatigue The objective of this research project is to investigate how a composite landing gear can be designed and manufactured using thermoplastic composite materials and automated fiber placement technology. 3

4
Literature Review Finite element approach (Redekop and Tan 1987) Analytical approach – Shell bending theory (Boyle and Spence 1992) – Membrane theory (Bushnell 1981) – Toroidal Elasticity (TE) Stress approach (Lang 1989) Displacement approach (Redekop 1991, 1993) 4

5
Toroidal Elasticity for Orthotropic Materials Displacement field for composite toroidal structures based on successive approximation method The governing equations in three toroidal coordinate system Method of successive approximation The governing equations in different orders Different order displacement components 5

6
Governing Equations R is bend radius. Angular coordinates are θ and φ, and radial coordinate is r. 6

7
Governing Equations Kinematics relations Constitutive equations Governing Navier equations in toroidal coordinate 7

8
Method of Successive Approximation The solution is a series in terms of a small parameter ε=1/R. 8

9
Governing Equations for the Different Orders The zeroth order: The first order: The second order: The third order: 9

10
General Solution Complementary solution General form solution 10

11
Boundary Conditions The boundary conditions on the curved surfaces are satisfied by each order 11

12
The Zeroth Order Solution 12

13
The First Order Solution Governing equations Displacement components 13

14
The Second Order Solution Governing equations Displacement components 14

15
The Third Order Solution Governing equations Displacement components 15

16
Conclusions Toroidal elasticity is a developing three-dimensional theory which can be used for the elastostatic analysis of thick-walled curved tubes. A displacement based toroidal elasticity has been used. The governing equations in the toroidal coordinates are much more complicated than those used in Cartesian coordinates. The successive approximation method has been employed to simplify the governing equations. 16

17
Previous and Future works Literature review Finding the appropriate theory Obtain the displacement field for isotropic materials Obtain the displacement field for a layer of orthotropic materials Achieve the displacement field for a laminate of orthotropic materials Analysis of the curved tube dynamically Comparison of the theoretical result with the experimental one 17

18
18

Similar presentations

OK

MULTIPLYING MONOMIALS TIMES POLYNOMIALS (DISTRIBUTIVE PROPERTY)

MULTIPLYING MONOMIALS TIMES POLYNOMIALS (DISTRIBUTIVE PROPERTY)

© 2018 SlidePlayer.com Inc.

All rights reserved.

By using this website, you agree with our use of **cookies** to functioning of the site. More info in our Privacy Policy and Google Privacy & Terms.

Ads by Google

How to save ppt on ipad mini Ppt on earthquake for class 5 Ppt on earth dam construction Ppt on low level language vs high level Ppt on reported speech in english grammar Ppt on central limit theorem examples Ppt on ram and rom in computer Bcd to 7 segment display ppt online Ppt on work and energy class 9 Seminar report and ppt on cloud computing