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New Approximations Of External Acoustic-structural Interactions: Derivation And Evaluation

机译：外部声结构相互作用的新近似：推导和评估

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摘要

New approximate models for external acoustics interacting with flexible structures are developed. The basic form of the present models is obtained by a combination of the Laplace-transformed retarded and advanced potentials with the weighting parameter as part of the model equation. It is shown that the maximum attainable time-derivative of convergent approximate models is two, hence any attempt to include higher orders will lead to non-convergent models. The present external acoustic model is implemented and interfaced with a finite element structural analyzer for the transient response analysis of submerged spherical and cylindrical shells subjected to a series of incident waves. Comparisons of the present results with the classical analytical solutions and the Doubly Asymptotic Approximations (DAAs) show that proposed model offers improved accuracy especially for early-time responses, exhibits computational robustness, and maintains the impulse response consistency that are desirable for inverse problems. The present model is applied for a shock response correlation of an experimental complex ring cylinder, which demonstrates the applicability of the proposed approximate model to practical engineering problems.
机译：开发了与柔性结构相互作用的外部声学的新近似模型。本模型的基本形式是通过将Laplace变换的延迟电势和高级电势与权重参数的组合作为模型方程式的一部分而获得的。结果表明，收敛近似模型的最大可达到时间导数为2，因此，任何试图包含更高阶次的尝试都将导致非收敛模型。实施本外部声学模型并与有限元结构分析器进行接口，以对水下球壳和圆柱壳经受一系列入射波的瞬态响应进行分析。将本结果与经典分析解决方案和双渐近近似（DAA）进行比较，结果表明，所提出的模型特别是对于早期响应，提供了改进的精度，具有计算鲁棒性，并保持了反问题所需的脉冲响应一致性。本模型用于实验复杂的环形气缸的冲击响应相关性，证明了所提出的近似模型对实际工程问题的适用性。

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