本論文首先探討力學蜂窩晶格於幾類邊界條件下的邊緣態，對其存在緣由作出解釋。隨後引入科氏力破壞時間反演對稱以產生手徵邊緣態，並檢視與此相關的拓樸相變。再者考察晶格錯位時邊緣態與缺陷態的耦合情形，藉以比較各類邊緣態對晶格錯位之容忍度。最後引入次近鄰連結，探討因歪折邊界連結角度而產生的邊緣態。;In this thesis we first discuss the edge states of the mechanical honeycomb lattice under several types of boundary conditions, and explain the underlying mechanisms of their existence. Subsequently, Coriolis force is introduced to break the time reversal symmetry and generate chiral edge states. The corresponding topological phase transition is also examined. Furthermore, the coupling of edge states and defect states under lattice dislocation is investigated, so as to compare the tolerance of various edge states to lattice dislocation. Finally, the next-nearest-neighbor connection is considered, so as to discuss the edge states caused by distorting the angle of the boundary connections.
