Composite Laminate Design via Lamination Parameters
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Conventional methods for designing composite laminates are computationally expensive and inefficient, especially when dealing with non-traditional or steered fiber laminates that require a large number of design variables to optimize fiber angles and thicknesses, leading to complex and time-consuming design processes.
Innovation Solution
A method and system that compute normalized lamination parameters and laminate stiffness matrices, generate a finite element model, and use an optimizer to determine optimum lamination parameters and thickness, allowing for the extraction of multiple solutions with unique fiber angles for each ply, and select a preferred solution based on lamination layup criteria to ensure margin of safety requirements are met.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Strength
If conventional ply-by-ply determination methods are used to design composite laminates, then the design can meet strength and stiffness requirements, but the computational complexity and time required increase significantly
Solution Approach 1:
The patent transforms the design variables from individual ply angles and thicknesses to lamination parameters (LPs), which are macroscopic parameters that describe the overall laminate properties. This parameter transformation reduces the dimensionality of the optimization problem and enables more efficient computational processing while maintaining the ability to meet strength and stiffness requirements through the relationship between LPs and laminate stiffness matrices.
Solution Approach 2:
The patent extracts the essential design characteristics from individual ply configurations and represents them through a reduced set of lamination parameters. By taking out the detailed ply-by-ply information and representing it through aggregate LPs, the method simplifies the computational problem while preserving the critical design space needed to optimize strength and stiffness.
2Adaptability or versatility
If conventional design methods focus on individual fiber angle and ply thickness, then traditional laminates can be designed, but the ability to design non-traditional or steered fiber laminates is limited
Solution Approach 1:
The patent uses lamination parameters as intermediate variables that bridge the gap between traditional and non-traditional laminate designs. The LP formulation is general enough to represent both conventional ply-by-ply designs and continuous fiber distribution patterns, enabling the design of non-traditional and steered fiber laminates without fundamentally changing the design methodology.
Solution Approach 2:
Lamination parameters serve as an intermediary representation between the physical laminate configuration and the optimization algorithm. This intermediate layer allows the optimization process to work with simplified parameters while still being able to generate both traditional and non-traditional laminate designs through the inversion process that recovers ply-level details from the optimized LPs.
3Strength
If the number of plies in a composite laminate is increased to meet loading conditions, then the structural performance improves, but the quantity of design variables increases significantly
Solution Approach 1:
The patent changes the parameter representation from N individual ply variables (where N is the number of plies) to a fixed small number of lamination parameters (typically 4-6 parameters regardless of ply count). This parameter transformation decouples the complexity of the design problem from the number of plies, allowing efficient optimization even for laminates with many plies.
Solution Approach 2:
The patent merges the information from multiple individual ply variables into a smaller set of aggregate lamination parameters. By combining the design variables in this way, the method reduces the dimensionality of the optimization problem while preserving the essential design space needed to achieve the desired structural performance.
Data Source
AI summary
A method of generating an optimized design model for a composite laminate may include computing a normalized set of lamination parameters and laminate stiffness matrices of an initial laminate design, and determining, using an optimizer operating on a finite element model, optimum values for the lamination parameters and the laminate thickness. The method may further include adjusting the optimum value of the laminate thickness, and performing an inversion process extracting multiple solutions from the lamination parameters, each solution including a unique set of individual fiber angles for each ply and representing an optimized design model of the composite laminate.