Damping singular value decomposition-based method for analyzing transmission paths under running condition

Abstract

The invention discloses a damping singular value decomposition-based method for analyzing transmission paths under a running condition. According to the adopted technical scheme, the method comprises the steps of designing a test condition for a to-be-analyzed mechanical system and measuring test condition data; constructing an equation through the acquired test condition data; solving the equation by applying a damping singular value decomposition algorithm to obtain a transmissibility function matrix; measuring a reference point response signal of the to-be-analyzed mechanical system under an actual working condition; multiplying the reference point response signal measured under the actual working condition by the identified transmissibility function matrix to obtain a transmission path contribution result; and sorting different path contributions to obtain contribution proportions of the transmission paths, thereby finishing the analysis of the transmission paths under the running condition. According to the method, the problem of truncation errors caused by performing truncation on a singular value of a coefficient matrix in conventional analysis of the transmission paths under the running condition is solved, so that the transmission path contribution calculation precision is improved.

Description

technical field [0001] The invention relates to the field of vibration reduction and noise reduction of mechanical equipment, in particular to a method for analyzing transmission paths of operating conditions based on damping singular value decomposition. Background technique [0002] The acoustic stealth performance of underwater vehicles is an important index to measure its safety and combat capability; the vibration and noise of cars and high-speed trains is an important index to evaluate vehicle performance. Therefore, effective monitoring and control of mechanical equipment vibration and noise is of great engineering significance for improving equipment performance. Controlling the transmission path of vibration or noise by applying damping materials or sound-absorbing materials is a very effective method in vibration reduction and noise reduction. The identification of vibration or noise transmission paths is the key to the problem. At present, transfer path analysis (...

AI Technical Summary

Problems solved by technology

Controlling the transmission path of vibration or noise by applying damping materials or sound-absorbing materials is a very effective method in vibration reduction and noise reduction. The identification of vibration or noise transmission paths is the key to the problem. At present, transfer path analysis (TPA) is often used ) or operating condition transfer path analysis (OTPA) method to identify the vibration or noise transfer path, and the traditional transfer path analysis method is difficult to quickly and effectively identify in engineering practice due to its complex frequency response function test and load identification process The transfer path, the transfer path analysis method of operating conditions is a rapid analysis method of the transfer path that has emerged in recent years. This method uses the test condition data to identify the transfer rate function matrix and applies it to the actual condition data to obtain the transfer path Contribution results, this method is simple and fast, and is widely used in engineering practice

[0003] However, as a typical inverse problem, the equations that OTPA needs to solve are often seriously ill-conditioned. At present, the truncated singular value decomposition (TSVD) method is usually used in engineering to truncate the singular values ​​of the coefficient matrix, and only retain larger singular values ​​to overcome ill-conditioned problems. , however, due to truncation, the sudden change of the singular value leads to a truncation error, which makes the transmission path contribution result obtained by this method have a large error

And the truncation coefficient is often selected based on experience, making it difficult for the calculation results to meet the accuracy requirements

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