Optimizing sandwich panels with graded tubular cell core for enhanced sound transmission loss

Abstract

In this research a theoretical approach is proposed to evaluate sound transmission loss (STL) of a sandwich panel with tubular cells core (TCC) in the in-plane orientation. Afterwards, the core geometric parameters are optimized by implementing the Non-dominated Sorting Genetic Algorithm II (NSGA-II) to maximize the STL through the sandwich panel while minimizing the total mass and height of the panel. The sound transmission response of the sandwich panel is parameterized in terms of four independent geometric parameters of the core, which are: number of tubular cells in the length and height directions of the core, thickness of the tubular cell wall and radii of the tubular cells. It is assumed that every tubular cell has a similar thickness while their radius in each row differs. Using the Abaqus scripting interface, a structural acoustic finite element model of the sandwich panel with tubular cell core is generated based on the specified parametric parameters. The study designs are obtained within a frequency range of 50Hz to 350Hz, which includes the first few resonance regions of the sandwich panel. In order to decrease the computational cost, a machine learning technique based on gradient boosting decision tress (GBDT) is employed to predict the STL of the sandwich panel. Findings reveal that the GBDT model is successfully trained. Data comparison shows that the discrepancies between the GBRT model and the FE model are confined to a margin of -3.09% to 2.7% in 95% of instances. The training is comprised of 500 examples, and an extra 150 samples are employed for testing to guarantee the reliability of the outcomes. The optimized panel using tubular cells demonstrates 52% and 23% reduction in the mass and height of the panel, respectively, when compared to the reference panel with the same area under the STL vs. frequency curve.