Method of designing a composite panel
View Patent ↗A method of designing a composite panel, the panel comprising a plurality of zones, each zone comprising a plurality of plies of composite material, each ply in each zone having a respective orientation angle, and some of the plies running continuously between adjacent zones. A design is provided comprising a set of design variables including a thickness for each of the zones, and a ply percentage for each orientation angle for each of the zones, each ply percentage identifying a percentage of plies within a zone having a particular orientation angle. The design is modified in a series of iterations, each iteration including: analyzing the current design by calculating an objective function, a set of ply evolution constraint functions each indicating a degree of ply continuity between a respective pair of adjacent zones, and one or more structural constraint functions; performing a sensitivity analysis by calculating partial derivatives of the objective function for the current design with respect to a selected set of the design variables, and calculating partial derivatives of the constraint functions for the current design with respect to a selected set of the design variables; and generating a new design by determining an optimum update of the design variables in accordance with the analysis and the sensitivity analysis.
1. A method of designing a composite panel, the panel comprising a plurality of zones, each zone comprising a plurality of plies of composite material, each ply in each zone having a respective orientation angle, and some of the plies running continuously between adjacent zones, the method comprising:
a. providing a design for the composite panel comprising a set of design variables including a thickness for each of the zones, and a ply percentage for each orientation angle for each of the zones, each ply percentage identifying a percentage of plies within a zone having a particular orientation angle;
b. modifying the design in a series of iterations, each iteration including:
i. analyzing the current design by calculating an objective function, a set of ply evolution constraint functions each indicating a degree of ply continuity between a respective pair of adjacent zones, and one or more structural constraint functions;
ii. performing a sensitivity analysis by calculating partial derivatives of the objective function for the current design with respect to a selected set of the design variables, and calculating partial derivatives of the constraint functions for the current design with respect to a selected set of the design variables; and
iii. generating a new design by determining an optimum update of the design variables in accordance with the analysis in step b.i. and the sensitivity analysis in step b.ii, the above method steps are implemented by a computer.
2. The method of claim 1 wherein the ply evolution constraint function is (T 1 −T 2 )*[(P 1 *T 1 )−(P 2 *T 2 )], where T 1 and T 2 are the thicknesses of adjacent zones in the current design, and P 1 and P 2 are the ply percentages of adjacent zones in the current design.
3. The method of claim 1 wherein the ply evolution constraint function is formulated in order to avoid breaking plies between zones except where the thickness is decreasing.
4. The method of claim 1 wherein the ply evolution constraint function is formulated in order to avoid changing laminate percentages between zones unless associated with a thickness change between those zones.
5. The method of claim 1 wherein the structural constraint function comprises a buckling constraint function or a strength constraint function.
6. The method of claim 1 wherein partial derivatives are calculated in step b.ii. with respect to all design variables.
7. The method of claim 1 wherein the ply evolution constraint functions are smooth and differentiable.
8. The method of claim 1 wherein ply evolution constraints are calculated for all neighboring zones in the panel.
9. The method of claim 1 wherein each ply comprises a plurality of fibers, and wherein the direction of the fibers within a ply defines the orientation angle of the ply.
10. A method of manufacturing a composite panel, the method comprising: first designing the panel, said panel comprising a plurality of zones, each zone comprising a plurality of plies of composite material, each ply in each zone having, a respective orientation angle, and some of the plies running continuously between adjacent zones, the designing steps comprising:
a, providing a design for the composite panel comprising a set of design variables including a thickness for each of the zones, and a ply percentage for each orientation angle for each of the zones, each ply percentage identifying a percentage of plies within a zone having a particular orientation angle;
b. modifying the design in a series of iterations, each iteration including:
i. analyzing the current design by calculating an objective function, a set of ply evolution constraint functions each indicating a degree of ply continuity between a respective pair of adjacent zones, and one or more structural constraint functions;
ii. performing a sensitivity analysis by calculating partial derivatives of the objective function for the current design with respect to a selected set of the design variables, and calculating partial derivatives of the constraint functions for the current design with respect to a selected set of the design variables; and
iii. generating a new design by determining an optimum update of the design variables in accordance with the analysis in step b.i. and the sensitivity analysis in step b.ii; and
second, manufacturing the panel in accordance with the design variables.