阻尼声声学中的随机分析

Q3 Engineering

International Journal of Mechanics and Control Pub Date : 2014-01-01 DOI:10.7494/MECH.2014.33.1.1

T. Banek

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引用次数: 0

摘要

提出了声音在阻尼介质中传播的随机模型。它包括:(1)描述声音传播的伊藤随机微分方程，(2)模拟阻尼效应的势。然而，由于存在路径积分，该模型复杂且耗时，因此不适合数值模拟和/或模型校准。为了简单起见，我们使用经典的随机分析结果;Feynman-Kac公式和Girsanov变换的计算程序，便于实际应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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STOCHASTIC ANALYSIS IN THE ACOUSTICS OF DAMPED SOUNDS

A stochastic model of sound propagation in damping medium is proposed. It consists of: (1) Ito’s stochastic differential equation describing the sound propagation, (2) a potential which models the damping effects. However, due to presence of path integrals this model is elaborate and time consuming, hence inappropriate for numerical simulations and/or model calibrations. To make it simpler we usde the classical results of stochastic analysis; Feynman-Kac formula and Girsanov tansformation obtaining easy-to-use computational procedure for practical purposes.

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来源期刊

International Journal of Mechanics and Control Engineering-Computational Mechanics

CiteScore

2.10

自引率

0.00%

发文量