טכניון מכון טכנולוגי לישראל
הטכניון מכון טכנולוגי לישראל - בית הספר ללימודי מוסמכים  
M.Sc Thesis
M.Sc StudentOrgad Maxim
SubjectAnalysis of Laminated Composite Plates -
an Analysis Approach
DepartmentDepartment of Aerospace Engineering
Supervisor Professor Omri Rand


Abstract

In the past decades`, composite materials have been the subjects to intensive research because the many advantages they offer. The most important feature of composites is the fact that one can design the mechanical characteristics of a composite material for a specific task. Generic analytic approach to solve problems in this area is very complicated. Therefore, many researchers employ numerical methods, such as the finite-element method to solve various problems with composite materials.

This research analyzes the behavior of composite plates by analytic approach. The main goal of this work is to demonstrate a method for finding analytic and (if possible) exact solutions for anisotropic plates. The solution is based on four steps: first, we compute the equation constants which are based on the material of the plate, the plate thickness and lamination angle. Secondly, we derive a contour parameterization. The third step is defining the load as a polynomial series. The solution is found in the fourth step by substitute polynomials in the Bi-Harmonic equation and in the boundary condition and harmonic-balance. The work shows several plate geometries and looks into some parameters such as: boundary condition, applied loading, laminate orientation and includes comparisons with published results. The strength of the method is demonstrated by solving some cases for which no analytic solution was yet found.
A key feature of this method is that computations were made symbolically and numerical data was rationalized. This attitude, accompanied by strong symbolic computerized tools, revives classic methods that were abandoned due to computation complexity.