6533b82efe1ef96bd1292888

RESEARCH PRODUCT

LOCAL CONTROL OF SOUND IN STOCHASTIC DOMAINS BASED ON FINITE ELEMENT MODELS

Tuomas AiraksinenErkki HeikkolaJari Toivanen

subject

ta113Stochastic domainAcoustics and UltrasonicsComputer scienceApplied MathematicsAcousticsNoise reductionNumerical analysisstokastinen aluekvadraattinen optimointipassenger carFinite element methodhenkilöautoelementtimenetelmäAcoustic spacequadratic optimizationNoiseFrequency domainNoise controlHelmholtz equationQuadratic programmingpaikallinen äänenhallintaäärellisten elementtien menetelmäHelmholtzin yhtälölocal sound control

description

A numerical method for optimizing the local control of sound in a stochastic domain is developed. A three-dimensional enclosed acoustic space, for example, a cabin with acoustic actuators in given locations is modeled using the finite element method in the frequency domain. The optimal local noise control signals minimizing the least square of the pressure field in the silent region are given by the solution of a quadratic optimization problem. The developed method computes a robust local noise control in the presence of randomly varying parameters such as variations in the acoustic space. Numerical examples consider the noise experienced by a vehicle driver with a varying posture. In a model problem, a significant noise reduction is demonstrated at lower frequencies.

https://doi.org/10.1142/s0218396x11004432