基於有限元素法對特殊仿生設計的地震超材料其性能的探討與評估

Abstract

地震防護技術的發展在很大程度上受到減振材料技術不斷精進的驅動。本研究旨在結合仿生學結構設計理念，研發具備減振功能的微結構超材料單元，並應用相應的理論與數值分析工具，以實現對地震波傳播的有效控制與能量耗散。在研究初期，將聚焦於創新超材料單元的設計工作。此階段將涵蓋對國內外文獻的系統性整理與分析，蒐集與超材料相關的最新研究成果，並以此為基礎進行兩種主要設計構型—突出地表面共振子（ASR）與埋入地下共振子（BMR）的初步建模與設計。中期階段的研究將進一步分析所設計的ASR與BMR單元，分別探討其獨立與複合配置下的頻散特性（Band structure analysis），藉由波傳特性與能量穿透率等指標，驗證其在實際工程應用中的可行性與效果。研究後期將著重於超材料單元的排列組合與系統性配置設計，進行不同排列數量下的傳輸與波導效應分析，評估其在地震波隔絕、波傳偏轉等方面的應用潛力。本研究期望藉由此類仿生型地震超材料的研發，為國內重要基礎設施與建築物提供新一代的減振防護技術，進而提升整體社會居住與建築安全，實現建立更安全家園的目標。

The development of earthquake protection technology is largely driven by the continuous improvement of vibration reduction material technology. This study aims to combine the concept of bionic structural design, develop microstructure metamaterial units with vibration reduction functions, and apply corresponding theoretical and numerical analysis tools to achieve effective control of seismic wave propagation and energy dissipation. In the early stage of the study, the focus will be on the design of innovative metamaterial units. This stage will cover the systematic organization and analysis of domestic and foreign literature, collect the latest research results related to metamaterials, and conduct preliminary modeling and design of two main design configurations - protruding surface resonators (ASR) and buried ground resonators (BMR) based on this. The mid-term research will further analyze the designed ASR and BMR units, explore their dispersion characteristics (band structure analysis) under independent and hybrid case, and verify their feasibility and effectiveness in actual engineering applications through indicators such as wave transmission characteristics and energy penetration. The later stage of the study will focus on the arrangement and combination of metamaterial units and the systematic configuration design, conduct transmission and waveguide effect analysis under different arrangement numbers, and evaluate their application potential in seismic wave isolation, wave transmission deflection, etc. This study hopes to provide a new generation of vibration reduction and protection technology for important domestic infrastructure and buildings through the development of this type of bionic earthquake metamaterials, thereby improving the overall social living and building safety and achieving the goal of building a safer home.