Optimization design of low-frequency silencing structure based on acoustic-electric analogy

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Journal of Vibration and Shock ›› 2024, Vol. 43 ›› Issue (3) : 201-208.

LI Qi1, WANG Xiaoming1, MEI Yulin2

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Abstract

A low-frequency acoustic structure is designed by means of electric-acoustic analogy, and an optimization strategy of the acoustic structure is constructed by combining transfer matrix method and simulated annealing method. First, a band-stop electric filter is designed based on the fourth-order Chebyshev high-pass filter through adopting the normalization method. Second, according to the acoustic-electric analogy, a silencing structure is obtained by respectively substituting a tubule and a cylindrical cavity for the inductance and capacitance in the circuit. And then, the mathematical model of the silencing structure is established by using the transfer matrix method, and an expression calculating transfer losses of the silencing structure is derived. Finally, based on the mathematical model, an optimization strategy is proposed by using simulated annealing method, and is implemented to optimize structure parameters of the silencing structure. The results show that, it is feasible to use the circuit of electrical filter to guide the structural design of silencing structure; the silencing structure’s mathematical model established by transfer matrix method can accurately describe the state of sound wave propagating in the silencing structure; compared with the initial acoustic structure, the optimized silencing structure has better filtering effects, including a wider attenuation band with transmission losses above 20dB, covering 410Hz-2165Hz and extending by 202% , and an obvious increase of transmission losses.

Key words

electric-acoustic analogy / transmission loss / finite element simulation / transfer matrix method / simulated annealing / acoustic structure

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LI Qi1, WANG Xiaoming1, MEI Yulin2. Optimization design of low-frequency silencing structure based on acoustic-electric analogy[J]. Journal of Vibration and Shock, 2024, 43(3): 201-208

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