Evaluation of Vibration Reduction in One-Dimensional Waveguides with Multi-Phase and Harmonic Varying Depths Hybrid Geometries: Geometric Forms Insight from Biological Suture Patterns

Bioinspired structures are well-known for their specific wavy geometry and outstanding dissipating energy capacity. This paper aims to introduce a hybrid geometry inspired by biological suture patterns to show the ability of these geometries to absorb impact load energies. The longitudinal wave propagation in one-dimensional waveguides is investigated. The evaluation process begins with sinusoidal geometries, which include three configurations. The wave propagation analysis in these nonhomogeneous geometries is conducted using the Wave Element Method (WEM), investigating the effectiveness of each geometry on selected parameters. In the next step, four periodic muti-phase geometries are considered. Among them, the ones that cause significant reduction in wave group speed and vibration amplitude are identified. In the next section, combinations of sinusoidally varying geometries and multi-phase ones are introduced, and the best one that has the most significant influence on the selected parameters is chosen. New elements with quasi-periodicity are then introduced and added to the system. Finally, a non-uniform rod is considered, and the hybrid geometry with the best performance is inserted in the middle of the rod. It is shown that the proposed hybrid geometry can result in a 76% reduction in the wave amplitude. The novelty of this paper is the introduction of a new hybrid geometry similar to irregular suture interfaces and solving problems in the time domain, which are introduced for the first time in this paper. This paper's findings could help us understand the impact-reduction mechanism in animals like woodpeckers and design impact-resistant vibration systems.