This study examines the phenomenon of intrinsic nature in wave mitigation, specifically focusing on the concept of destructive interference (DI). When waves interact, they can exhibit either destructive interference or constructive interference depending on the phase difference. In the case of mechanical waves propagating through a mechanical structure, their characteristics such as wave speed, wavelength, and wave attenuation are influenced by the properties of the structure. As waves travel within the structure, the resonance phenomenon of the mechanical structure induces a phase shift of approximately 180 degrees in the wave. Consequently, what was initially destructive interference can transit into constructive interference, and vice versa. To address this challenge and systematically enhance the performance of mechanical structures employing destructive interference, a topology optimization scheme is applied. The concept of the present optimization scheme and the advantages are highlighted for several in-plane vibrations.

中文翻译：

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通过拓扑优化提高相消干涉声子晶体结构的性能

本研究探讨了波浪缓解的内在本质现象，特别关注相消干涉（DI）的概念。当波相互作用时，根据相位差，它们可以表现出相消干涉或相长干涉。在机械波通过机械结构传播的情况下，其波速、波长和波衰减等特性受到结构特性的影响。当波在结构内传播时，机械结构的共振现象会引起波约 180 度的相移。因此，最初的破坏性干扰可以转变为建设性干扰，反之亦然。为了应对这一挑战并系统地提高采用相消干涉的机械结构的性能，应用了拓扑优化方案。针对几种面内振动，强调了本优化方案的概念和优点。