This invention discloses a deformable blade design method based on solving the
electromechanical coupling matrix equations, belonging to the field of engine blade
design technology. Starting from a fully tessellated MFC (Mechanical-Fuel-
Coupling) scheme, the method uses the
finite element method to discretize and derive the key matrices of the
electromechanical coupling system, establishing quasi-static
electromechanical coupling control equations. Ill-conditioned problems in the equation set are addressed through
voltage degree-of-freedom scaling preprocessing, and the driving
voltage distribution is solved in conjunction with target deformation constraints. The birth and death element method is introduced to quantify the contribution of MFC elements at different locations to deformation, gradually eliminating inefficient elements and generating an optimized arrangement and driving scheme. For complex three-dimensional blades, static condensation and implicit iteration of inner and outer
layers are used to reduce the computational scale, and the MFC polarization and driving direction setting problems are solved through the element coordinate
system method. This invention eliminates the need for repeated iterative
trial and error, significantly improving the efficiency of deformable design and achieving high deformation accuracy, providing a systematic design method for the
engineering application of controllable deformable blades.