Abstract
The paper presents the application of the IMGAMO (immune game theory multiobective algorithm) in the optimal design of electrothermal microactuators. Several numerical tests on the mathematical benchmark test functions were performed, showing the superiority of the IMGAMO, when a large number of criteria are considered, in comparison to other multiobjective optimizers. A parametric numerical model of an electrothermal microactuaror was developed and verified. Six functionals, which depend on various thermal and mechanical quantities of the microactuator, were proposed, formulated and numerically implemented. These functionals represent real requirements asked of microactuators. The boundary-value problem of an electro-thermo-mechanical field was solved multiple times during the course of optimization by way of the finite element method (FEM). A numerical example of multiobjective optimization of chevron-type electrothermal actuators is included in the paper. Representation of the multi-dimensional Pareto fronts by means of scatter plot matrices, aided by self-organizing maps (SOMs), is presented. The novel method of selecting interesting, compromise-solutions is proposed and described.
Highlights
Electrothermal microactuators are mechanical systems where thermally-induced expansion and contraction of materials is responsible for the induction of motion
Appendix A shows the details of immune game theory multiobjective algorithm (IMGAMO) algorithm, whereas Appendix B illustrates its effectiveness in comparative tests with other algorithms for several benchmarks
A novel outperforms method for the multiobjective optimization of an electrothermal microactuator been significantly other popular multiobjective optimization algorithms
Summary
Electrothermal microactuators are mechanical systems where thermally-induced expansion and contraction of materials is responsible for the induction of motion. The shape optimization method proposed in the paper allows the design of the arms of the chevron type microactuator with the smooth nonuniform cross sectional area and smooth transition between arms and anchors or central shaft. This example shows that the maximal value of the equivalent stress is significantly reduced from 982 MPa to 476 MPa. The proposed method of optimal design allows for both, finding the arbitrary shape of the arms and precise selection of the radius at the rounded corners, taking into account the optimal selection of the pre-bending angle as well. Appendix A shows the details of IMGAMO algorithm, whereas Appendix B illustrates its effectiveness in comparative tests with other algorithms for several benchmarks
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