Abstract
In this paper, the eigen-equations for one dimensional periodic structure, semi-infinite periodic structure and semi-infinite periodic structure with defects are derived based on the symplectic method. The eigen-problem for a semi-infinite periodic structure is transformed into an eigen-problem for a unit cell. Together the symplectic method with the W-W algorithm, an accurate, stable and efficient method for solving eigen-problem of semi-infinite periodic structure with defects is proposed. Numerical examples are also presented to validate the methods proposed in this paper.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 372-381 |
| Number of pages | 10 |
| Journal | Guti Lixue Xuebao/Acta Mechanica Solida Sinica |
| Volume | 32 |
| Issue number | 4 |
| State | Published - Aug 2011 |
| Externally published | Yes |
Keywords
- Energy band
- Periodic structure
- Surface state
- Symplectic
ASJC Scopus subject areas
- Mechanics of Materials