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Forced harmonic response of sandwich plates with viscoelastic core using reduced-order model

机译：用降阶模型对粘弹性夹芯板的强迫谐响应

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摘要

A reduction method for forced harmonic response analysis of large-scale sandwich plates with viscoelastic core is proposed. The reduced-order model problem is developed by projecting the original problem onto low-dimensional subspaces of real and complex eigenvectors. The resulting problem is solved using the asymptotic numerical method in conjunction with automatic differentiation techniques. The response curves of the original non-reduced model are readily recovered, resulting in much faster computation, and, therefore, savings in storage and computational effort. The complex basis is effective in both low- and high-damping scenarios, while the real reduction basis performs well only for low damping.
机译：提出了一种用于粘弹性夹心大夹层板强迫谐波响应分析的简化方法。通过将原始问题投影到实特征向量和复杂特征向量的低维子空间上来开发降阶模型问题。使用渐近数值方法结合自动微分技术解决了由此产生的问题。原始非简化模型的响应曲线很容易恢复，从而使计算速度大大加快，因此节省了存储和计算工作量。复杂的基础在低阻尼和高阻尼情况下均有效，而实际的降低基础仅对低阻尼有效。

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