Abstract: The open thin-body structures, such as noise barriers, have been widely used in traffic noise control and other engineering fields. However, the structural particularity of thin-body structures brings difficulties to the numerical simulation of their scattered and radiated sound fields. Therefore, an effective method for the acoustic sensitivity analysis and shape optimization of thin-body structures is proposed based on the indirect boundary element method (IBEM) in this paper. Firstly, to calculate the singular integrals accurately and efficiently, the non-singular indirect boundary integral equations for acoustic sensitivity is derived based on the constant element discretization. Then, the non-uniqueness difficulty which may be encountered when solving the external field problem is avoided by combining the single-layer and double-layer potentials to obtain a mixed potential-based sensitivity analysis method, and its optimal coupling parameter is also discussed. Additionally, the shape optimization method of thin-body structures is constructed to provide an effective means for improving the noise reduction performance of noise barriers. Numerical examples demonstrate the effectiveness and accuracy of the method proposed in this paper and its potential in the shape optimization of thin-body structures.
Keywords: thin-body acoustic problem; sensitivity analysis; shape optimization; indirect boundary element method(IBEM); non-uniqueness of solution
合肥工业大学学报自科版