Chronopoulos Dimitrios, Collet Manuel, Ichchou Mohamed
Division of Materials, Mechanics and Structures, University Park, the University of Nottingham, Nottingham NG7 2RD, UK.
LTDS, UMR-CNRS 5513, 36 Avenue Guy de Collongue, 69130 Ecully, France.
Materials (Basel). 2015 Feb 17;8(2):815-828. doi: 10.3390/ma8020815.
The waves propagating within complex smart structures are hereby computed by employing a wave and finite element method. The structures can be of arbitrary layering and of complex geometric characteristics as long as they exhibit two-dimensional periodicity. The piezoelectric coupling phenomena are considered within the finite element formulation. The mass, stiffness and piezoelectric stiffness matrices of the modelled segment can be extracted using a conventional finite element code. The post-processing of these matrices involves the formulation of an eigenproblem whose solutions provide the phase velocities for each wave propagating within the structure and for any chosen direction of propagation. The model is then modified in order to account for a shunted piezoelectric patch connected to the composite structure. The impact of the energy dissipation induced by the shunted circuit on the total damping loss factor of the composite panel is then computed. The influence of the additional mass and stiffness provided by the attached piezoelectric devices on the wave propagation characteristics of the structure is also investigated.
通过采用波动与有限元方法来计算复杂智能结构中传播的波。只要结构呈现二维周期性，其可以具有任意的分层和复杂的几何特征。在有限元公式中考虑压电耦合现象。可以使用传统的有限元代码提取建模段的质量、刚度和压电刚度矩阵。这些矩阵的后处理涉及本征问题的公式化，其解为在结构内传播的每个波以及任何选定传播方向提供相速度。然后修改模型以考虑连接到复合结构的并联压电贴片。接着计算并联电路引起的能量耗散对复合板总阻尼损耗因子的影响。还研究了附加的压电器件提供的附加质量和刚度对结构波传播特性的影响。
