基于行波法的多板耦合结构振动功率流研究

发布时间：2018-12-24 09:52

【摘要】：通过引入局部坐标,离散波幅系数矩阵,组装状态向量矩阵,建立了离散板的行波法通用表达式,该表达式的提出可以将行波法的研究对象由简单结构推广到多板耦合结构。自编行波法MATLAB程序计算结构的稳态响应,将行波法半解析结果与有限元数值结果进行对比,验证了提出的行波法通用表达式计算多板耦合结构的有效性、高效性。应用行波法分别求解经典薄板理论和Mindlin板理论的振动控制方程,计算耦合结构的主动功率流和被动功率流,结果表明:在全频范围内,面内剪切和旋转惯量对主动功率流和被动功率流有很大影响,在进行功率流主动控制时应尽可能采用厚板理论。损耗因子的增加可以有效减少共振频率范围附近的被动功率流峰值,但对其他频率范围内的被动功率流峰值影响不大。
[Abstract]:By introducing local coordinate, discrete amplitude coefficient matrix and assembling state vector matrix, a general expression of traveling wave method for discrete plates is established, which can extend the research object of traveling wave method from simple structure to multi-plate coupling structure. The steady-state response of the structure is calculated by a self-compiled traveling wave method (MATLAB) program. The semi-analytical results of the traveling wave method are compared with the finite element numerical results, and the effectiveness and efficiency of the proposed universal expression for the calculation of multi-plate coupled structures are verified. The vibration control equations of classical thin plate theory and Mindlin plate theory are solved by traveling wave method, and the active and passive power flows of coupled structures are calculated. The results show that: in the full frequency range, The in-plane shear and rotating inertia have great influence on the active power flow and passive power flow. The thick plate theory should be used as far as possible in the active control of the power flow. The increase of loss factor can effectively reduce the peak value of passive power flow near the resonance frequency range, but has little effect on the peak value of passive power flow in other frequency range.
【作者单位】：武汉理工大学交通学院;中国舰船研究设计中心;
【基金】：航空科学基金(20142365002)
【分类号】：O327

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