Shape Optimization of Double-Chamber Side Mufflers with Extended Tube by Using Four-Pole Matrix and Simulated Annealing Method

Abstract

ABSTRACTAs an excellent ability in eliminating venting noise in lower frequencies, the reactiv silencer has prevailed and is widely discussed. Most researchers have explored noise reduction effects due to the flowing rate and temperature gradient based on a pure plane wave theory; however, the maximum noise reduction of a silencer under a space constraint, which frequently occurs in engineering problems, is rarely addressed. Because most of the optimal assessments were oriented with a slower optimizer, the issue of using a novel optimizer to speed up the optimization of a complicated silencer has arisen. In this paper, the optimal design of a double-chamber side muffler connected with an internal extended tube under a limited space is presented; in addition, simulated annealing (SA) is selected as the optimizer. Based on a plane wave theory, the systems' matrices under a flowing effect have been established. To verify the accuracy of the mathematical model, one set of silencers has been constructed and acoustically tested in the laboratory. The results reveal that they are in agreement; thereafter, two numerical cases of optimal noise reduction to pure tone and octave band noise sources are exemplified. Consequently, the SA method can definitely provide a quick and efficient way in optimal muffler design work.