Parametric analysis of topologically optimized mechanical member considering dynamic loading

Abstract

The optimal topology and its performance in dynamic loading situations result in discontinue function corresponding to the input factors such as volume fraction, thickness, material property, and loading conditions. In a realist scenario, the performance prediction becomes erroneous and challenging for the components under dynamic loading conditions with uncertainties. The conventional closed-form deterministic approaches are complicated for these problems. Here, a method is presented to establish the relative influence and function relationship of the input factors with the performance values, including controllable and non-controllable uncertainties. The design of experiment approach is used to apply full factorial design with Taguchi’s orthogonal array; performances of the optimal topologies are considered responses. The non-uniform topology generation method is applied based on the deflection threshold value to generate topologies for dynamic conditions. A dynamic model of the manipulator-link is developed to apply boundary conditions and provide performance values: compliance, deflection, Stress, and energy consumption values. Statistical techniques such as the analysis-of-mean (ANOM), analysis-of-variance (ANOVA), signal-to-noise-ratio (SNR), and mean performance values are employed to observe the significance of input factors and generate equivalent preformation relation. From ANOM and ANOVA, all input parameters show mutual interaction; force is observed as the most significant factor. From SNR values, experimental combination number 9,9,6,1 is observed as the most robust for compliance (21.13), deflection (43.93), Stress (−16.64), and energy consumption (12.05). Similarly, at the same combinations, the mean performance values are minimum and coefficient of determination (R2) percentages of the model are 94.64%, 96.93%, 73.69%, and 95.14%.