Band gap characteristics of periodically stiffened-thin-plate based on center-finite-difference-method
Band gap characteristics of periodically stiffened-thin-plate based on center-finite-difference-method
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DOI：
10.1016/j.tws.2014.04.010
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发表时间：
2014-09
影响因子：
6.4
通讯作者：
X. Q. Zhou;D. Y. Yu;X. Shao;S. Wang;Y. Tian
中科院分区：
文献类型：
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作者：
X. Q. Zhou;D. Y. Yu;X. Shao;S. Wang;Y. Tian
本文应用Bloch׳S定理，提出了加筋薄板的周期概念。通过建立周期加筋薄板的动力学方程，利用中心有限差分法计算了周期加筋薄板的带隙。有限差分法简化了板振动微分方程的计算。该算法不需要处理复杂的高阶微分方程组，而是只求解代数方程。本文还对PSTP的带隙׳S频率特性进行了分析。并对影响带隙׳S频率的结构参数进行了充分的讨论。最后，通过数值仿真对本文提出的理论进行了验证，结果表明两种方法具有一致性。
This paper presents a periodic concept in stiffened-thin-plates by applying Bloch׳s theorem. Through the established dynamic equation for periodically stiffened-thin-plate (PSTP), the band gap of PSTP is calculated with the help of center-finite-difference-method (CFDM). CFDM simplifies the calculation in plate vibration differential equation. Instead of dealing with complex high-level differential equation, CFDM solves only algebraic equation. In this paper, the band gap׳s frequency property of PSTP has also been analyzed. The parameters of structure that influence the band gap׳s frequency have been fully discussed as well. Finally, the theory presented in this paper is verified by numerical simulations and the results reveal that there is consistency between two methods.