In summary,the interval uncertainty is introduced to the acoustic metamaterial with Helmholtz resonators.And then,new descriptions(the conservative approximation,the unsafe approximation and the approximation precisio...In summary,the interval uncertainty is introduced to the acoustic metamaterial with Helmholtz resonators.And then,new descriptions(the conservative approximation,the unsafe approximation and the approximation precision)on uncertainties of physical properties of this interval acoustic metamaterial are defined.Lastly,an optimization model for this interval acoustic metamaterial is proposed.The organization of this paper is listed as follows.The acoustic transmission line method(ATLM)for an acoustic metamaterial with Helmholtz resonators is described in Section 2.In Section3,uncertain analysis of the interval acoustic metamaterial is presented.In Section 4,optimization model of the interval acoustic metamaterial is proposed.The discussion on optimization results is shown in Section 5.In section 6,some conclusions are given.展开更多
Regard for the fuzziness and the randomness in some acoustic fields,a method for the numerical analysis of the 2D acoustic field with Fuzzy-Random parameters was proposed based on the equivalent conversion of informat...Regard for the fuzziness and the randomness in some acoustic fields,a method for the numerical analysis of the 2D acoustic field with Fuzzy-Random parameters was proposed based on the equivalent conversion of information entropy.In the proposed method,a fuzzyrandom acoustic field was treated as a pure fuzzy acoustic field or a pure random acoustic field by transforming all the variables into fuzzy variables or random variables.Perturbation finite element methods for analyzing the two-dimensional acoustic fuzzy and random field are deduced.The sound pressure response of a 2D acoustic tube and the 2D acoustic cavity of a car with fuzzy-random parameters were analyzed by the proposed method and the Monte Carlo method,the results show that the proposed method can be well applied to the numerical analysis of the 2D acoustic field with fuzzy-random parameters,and has good prospect of engineering application.展开更多
Aiming at the problem that the epistemic uncertain parameters exist in an acoustic field, an evidence theory-based finite element method （ETFEM） is proposed by introducing the evidence theory, in which the focal ele...Aiming at the problem that the epistemic uncertain parameters exist in an acoustic field, an evidence theory-based finite element method （ETFEM） is proposed by introducing the evidence theory, in which the focal element and basic probability assignment （BPA） are used to describe the epistemic uncertainty. In order to reduce the computational cost, the interval analysis technique based on perturbation method is adopted to acquire the approximate sound pressure response bounds for each focal element. The corresponding formulations of intervals of expectation and standard deviation of the sound pressure response with epistemic uncertainty are deduced. The sound pressure response of a 2D acoustic tube and a 2D car acoustic cavity with epistemic uncertain parameters are analyzed by the proposed method. The proposed method is verified through the comparison of the analysis results of random acoustic field with that of epistemic uncertain acoustic field. Numerical analysis results show that the proposed method can analyze the 2D acoustic field with epistemic uncertainty effectively, and has good prospect of engineering application.展开更多
基金supported by National Natural Science Foundation of China(Grant Nos.11402083&11572121)Independent Research Project of State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body in Hunan University(Grant No.51375002)Fundamental Research Funds for the Central Universities,Collaborative Innovation Center of Intelligent New Energy Vehicle,and the Hunan Collaborative Innovation Center of Green Automobile
文摘In summary,the interval uncertainty is introduced to the acoustic metamaterial with Helmholtz resonators.And then,new descriptions(the conservative approximation,the unsafe approximation and the approximation precision)on uncertainties of physical properties of this interval acoustic metamaterial are defined.Lastly,an optimization model for this interval acoustic metamaterial is proposed.The organization of this paper is listed as follows.The acoustic transmission line method(ATLM)for an acoustic metamaterial with Helmholtz resonators is described in Section 2.In Section3,uncertain analysis of the interval acoustic metamaterial is presented.In Section 4,optimization model of the interval acoustic metamaterial is proposed.The discussion on optimization results is shown in Section 5.In section 6,some conclusions are given.
基金supported by the Independent Subject of State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body in Hunan University(60870002)
文摘Regard for the fuzziness and the randomness in some acoustic fields,a method for the numerical analysis of the 2D acoustic field with Fuzzy-Random parameters was proposed based on the equivalent conversion of information entropy.In the proposed method,a fuzzyrandom acoustic field was treated as a pure fuzzy acoustic field or a pure random acoustic field by transforming all the variables into fuzzy variables or random variables.Perturbation finite element methods for analyzing the two-dimensional acoustic fuzzy and random field are deduced.The sound pressure response of a 2D acoustic tube and the 2D acoustic cavity of a car with fuzzy-random parameters were analyzed by the proposed method and the Monte Carlo method,the results show that the proposed method can be well applied to the numerical analysis of the 2D acoustic field with fuzzy-random parameters,and has good prospect of engineering application.
基金supported by the National Natural Science Foundation of China(11572121)Independent Research Project of State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body(71375004)
文摘Aiming at the problem that the epistemic uncertain parameters exist in an acoustic field, an evidence theory-based finite element method （ETFEM） is proposed by introducing the evidence theory, in which the focal element and basic probability assignment （BPA） are used to describe the epistemic uncertainty. In order to reduce the computational cost, the interval analysis technique based on perturbation method is adopted to acquire the approximate sound pressure response bounds for each focal element. The corresponding formulations of intervals of expectation and standard deviation of the sound pressure response with epistemic uncertainty are deduced. The sound pressure response of a 2D acoustic tube and a 2D car acoustic cavity with epistemic uncertain parameters are analyzed by the proposed method. The proposed method is verified through the comparison of the analysis results of random acoustic field with that of epistemic uncertain acoustic field. Numerical analysis results show that the proposed method can analyze the 2D acoustic field with epistemic uncertainty effectively, and has good prospect of engineering application.
