Analysis and enhancement of flexural wave stop bands in 2D periodic plates

• A unified method for studying the stop band of the plates with various simplified attached structures is proposed.
• The enhancement of flexural wave stop bands in a 2D phononic plate is investigated.
• The stop bands are widened via multi interaction between the host plate and the attached structure.
• The enhancement pattern is determined and several ways to get a wider stop band are presented.

The band structure and enhancement of flexural wave stop bands in a 2D periodic plate are investigated. A unified method for analysing and designing the stop band of the plates with various attached structures is proposed. The effect of attached structures is considered based on their equivalent parameters (added equivalent mass and equivalent moment of inertia). The influences of the equivalent parameters on the band structures are studied. Three cases are considered: adding pure equivalent mass, pure equivalent moment of inertia and the combination of these two. The stop bands are enhanced via the multi interaction between the host plate and the attached structure. The enhancement pattern is determined, and several ways to obtain a wider combined stop band are presented. The frequency response functions of corresponding finite periodic plates are calculated to verify the stop bands and their enhancement in a number of typical cases.