The Experts below are selected from a list of 135 Experts worldwide ranked by ideXlab platform
Michael Beer - One of the best experts on this subject based on the ideXlab platform.
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hybrid interval and random analysis for structural acoustic systems including periodical composites and multi scale bounded hybrid uncertain parameters
Mechanical Systems and Signal Processing, 2019Co-Authors: Ning Chen, Siyuan Xia, Jian Liu, Michael BeerAbstract:Abstract For the response analysis of periodical composite structural–acoustic systems with multi-scale uncertain-but-bounded parameters, a bounded hybrid uncertain model is introduced, in which the interval variables and the bounded random variables exist simultaneously. In the periodical composite structural–acoustic system, the equivalent macro constitutive matrix and average mass density of the microstructure are calculated through the homogenization method. On the basis of the conventional first-order Taylor series expansion, a homogenization-based hybrid stochastic interval perturbation method (HHSIPM) is developed for the prediction of periodical composite structural–acoustic systems with multi-scale bounded hybrid uncertain parameters. By incorporating the Gegenbauer Polynomial approximation theory into the homogenization-based finite element method, a homogenization-based Gegenbauer Polynomial expansion method (HGPEM) is also proposed to calculate the bounds of expectation and variance of the sound pressure response. Numerical examples of a hexahedral box and an automobile passenger compartment are given to investigate the effectiveness of the HHSIPM and HGPEM for the prediction of periodical composite structural–acoustic systems with multi-scale bounded hybrid uncertain parameters.
Jian Liu - One of the best experts on this subject based on the ideXlab platform.
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microstructural topology optimization for minimizing the sound pressure level of structural acoustic systems with multi scale bounded hybrid uncertain parameters
Mechanical Systems and Signal Processing, 2019Co-Authors: Ning Chen, Siyuan Xia, Jian LiuAbstract:Abstract This paper mainly provides a robust microstructural topology optimization method for minimizing the sound pressure level (SPL) of the structural-acoustic system with multi-scale bounded hybrid uncertainties. During the microstructural topology optimization process, both the uncertainty at macro-scale that comes from the physical parameters of the structural-acoustic system and the uncertainty existed in the constituent material properties of the microstructure are taken into account and handled by the bounded hybrid uncertain model, in which the uncertain parameters are treated as either bounded random variables or interval variables. The homogenization-based Gegenbauer Polynomial expansion method (HGPEM) is introduced to calculate the sound pressure of the bounded hybrid uncertain structural-acoustic system. On the basis of the HGPEM, the microstructural topology optimization is conducted through the enhanced genetic algorithm (GA) with adaptive crossover and mutation probability. Two numerical examples are used to demonstrate the capabilities and efficiency of the presented robust microstructural topology optimization method. The results indicate that the robust optimum design considering multi-scale bounded hybrid uncertainties can achieve better performance than the deterministic optimum design.
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hybrid interval and random analysis for structural acoustic systems including periodical composites and multi scale bounded hybrid uncertain parameters
Mechanical Systems and Signal Processing, 2019Co-Authors: Ning Chen, Siyuan Xia, Jian Liu, Michael BeerAbstract:Abstract For the response analysis of periodical composite structural–acoustic systems with multi-scale uncertain-but-bounded parameters, a bounded hybrid uncertain model is introduced, in which the interval variables and the bounded random variables exist simultaneously. In the periodical composite structural–acoustic system, the equivalent macro constitutive matrix and average mass density of the microstructure are calculated through the homogenization method. On the basis of the conventional first-order Taylor series expansion, a homogenization-based hybrid stochastic interval perturbation method (HHSIPM) is developed for the prediction of periodical composite structural–acoustic systems with multi-scale bounded hybrid uncertain parameters. By incorporating the Gegenbauer Polynomial approximation theory into the homogenization-based finite element method, a homogenization-based Gegenbauer Polynomial expansion method (HGPEM) is also proposed to calculate the bounds of expectation and variance of the sound pressure response. Numerical examples of a hexahedral box and an automobile passenger compartment are given to investigate the effectiveness of the HHSIPM and HGPEM for the prediction of periodical composite structural–acoustic systems with multi-scale bounded hybrid uncertain parameters.
Ning Chen - One of the best experts on this subject based on the ideXlab platform.
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microstructural topology optimization for minimizing the sound pressure level of structural acoustic systems with multi scale bounded hybrid uncertain parameters
Mechanical Systems and Signal Processing, 2019Co-Authors: Ning Chen, Siyuan Xia, Jian LiuAbstract:Abstract This paper mainly provides a robust microstructural topology optimization method for minimizing the sound pressure level (SPL) of the structural-acoustic system with multi-scale bounded hybrid uncertainties. During the microstructural topology optimization process, both the uncertainty at macro-scale that comes from the physical parameters of the structural-acoustic system and the uncertainty existed in the constituent material properties of the microstructure are taken into account and handled by the bounded hybrid uncertain model, in which the uncertain parameters are treated as either bounded random variables or interval variables. The homogenization-based Gegenbauer Polynomial expansion method (HGPEM) is introduced to calculate the sound pressure of the bounded hybrid uncertain structural-acoustic system. On the basis of the HGPEM, the microstructural topology optimization is conducted through the enhanced genetic algorithm (GA) with adaptive crossover and mutation probability. Two numerical examples are used to demonstrate the capabilities and efficiency of the presented robust microstructural topology optimization method. The results indicate that the robust optimum design considering multi-scale bounded hybrid uncertainties can achieve better performance than the deterministic optimum design.
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hybrid interval and random analysis for structural acoustic systems including periodical composites and multi scale bounded hybrid uncertain parameters
Mechanical Systems and Signal Processing, 2019Co-Authors: Ning Chen, Siyuan Xia, Jian Liu, Michael BeerAbstract:Abstract For the response analysis of periodical composite structural–acoustic systems with multi-scale uncertain-but-bounded parameters, a bounded hybrid uncertain model is introduced, in which the interval variables and the bounded random variables exist simultaneously. In the periodical composite structural–acoustic system, the equivalent macro constitutive matrix and average mass density of the microstructure are calculated through the homogenization method. On the basis of the conventional first-order Taylor series expansion, a homogenization-based hybrid stochastic interval perturbation method (HHSIPM) is developed for the prediction of periodical composite structural–acoustic systems with multi-scale bounded hybrid uncertain parameters. By incorporating the Gegenbauer Polynomial approximation theory into the homogenization-based finite element method, a homogenization-based Gegenbauer Polynomial expansion method (HGPEM) is also proposed to calculate the bounds of expectation and variance of the sound pressure response. Numerical examples of a hexahedral box and an automobile passenger compartment are given to investigate the effectiveness of the HHSIPM and HGPEM for the prediction of periodical composite structural–acoustic systems with multi-scale bounded hybrid uncertain parameters.
Baizhan Xia - One of the best experts on this subject based on the ideXlab platform.
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a unified method for the response analysis of interval random variable models of acoustic fields with uncertain but bounded parameters
International Journal for Numerical Methods in Engineering, 2017Co-Authors: Shengwen Yin, Hui Yin, Baizhan XiaAbstract:Summary For the response analysis of engineering systems with uncertain-but-bounded parameters, three uncertain models have been considered according to the available probability distribution information. One is the bounded random model in which the uncertain parameters are well defined with sufficient probability distribution information and described as bounded random variables. The second one is the interval model in which the uncertain parameters are expressed as interval variables without giving any information of probability distribution. The last one is the bounded hybrid uncertain model which includes both bounded random variables and interval variables. On the basis theory of Gegenbauer Polynomial approximation theory, a unified Interval and Random Gegenbauer Series Expansion(IRGSE) Method is proposed and extended for the response prediction of three uncertain models of acoustic fields with uncertain-but-bounded parameters. In IRGSE, the uncertain-but-bounded variables with different probability distribution information, including interval variables and bounded random variables with different Probability Density Functions (PDFs), are transformed into the function of unitary variables defined on associated with the corresponding Polynomial parameter( ) of Gegenbauer series expansion(GSE). The coefficients of GSE is calculated by Gauss-Gegenbauer integration method. By using IRGSE, the responses of three uncertain acoustic models are approximated uniformly by GSE, through which the interval and random analysis can be easily implemented by many numerical solvers. Two numerical examples are applied to investigate the effectiveness of the proposed method.
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interval and random analysis for structure acoustic systems with large uncertain but bounded parameters
Computer Methods in Applied Mechanics and Engineering, 2016Co-Authors: Shengwen Yin, Hui Yin, Baizhan XiaAbstract:Abstract For the response analysis of the structure–acoustic system with uncertain-but-bounded parameters, three bounded uncertain models are introduced. One is the bounded random model in which all of the uncertain-but-bounded parameters are described as bounded random variables with well defined probability distribution. The second one is the interval model in which all of the uncertain-but-bounded parameters are described as interval variables due to the limited information. The third one is the bounded hybrid uncertain model in which the interval variables and the bounded random variables exist simultaneously. Based on the parametric Gegenbauer Polynomial, which is formulated for bounded random model recently, the Gegenbauer Series Expansion Method (GSEM) is developed for the response prediction of the structure–acoustic system under these three bounded uncertain models. Within GSEM, the response of these three bounded uncertain models of the structure–acoustic system can be approximated by the unified Gegenbauer Series with different values of Polynomial parameter. Then, the interval and random analysis for these three bounded uncertain models of the structure–acoustic system are conducted on the basis of Gegenbauer series. Owing to the orthogonal property of Gegenbauer Polynomial, the analytical solution of the expectation and variance of Gegenbauer series with respect to the bounded random variables can be readily obtained. The bounds of Gegenbauer series with respect to the interval variables are determined by the Monte Carlo simulation. The GSEM is applied to solve a shell structure–acoustic system under these three bounded uncertain models. Inspired by the convergence behavior of GSEM, the relative improvement criterion is established to estimate the required retained order of Gegenbauer Series for large uncertain problems. The results on numerical examples show that GSEM with the estimated retained order can achieve a prescribed accuracy and good efficiency for structure–acoustic systems with large uncertain-but-bounded parameters.
Siyuan Xia - One of the best experts on this subject based on the ideXlab platform.
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microstructural topology optimization for minimizing the sound pressure level of structural acoustic systems with multi scale bounded hybrid uncertain parameters
Mechanical Systems and Signal Processing, 2019Co-Authors: Ning Chen, Siyuan Xia, Jian LiuAbstract:Abstract This paper mainly provides a robust microstructural topology optimization method for minimizing the sound pressure level (SPL) of the structural-acoustic system with multi-scale bounded hybrid uncertainties. During the microstructural topology optimization process, both the uncertainty at macro-scale that comes from the physical parameters of the structural-acoustic system and the uncertainty existed in the constituent material properties of the microstructure are taken into account and handled by the bounded hybrid uncertain model, in which the uncertain parameters are treated as either bounded random variables or interval variables. The homogenization-based Gegenbauer Polynomial expansion method (HGPEM) is introduced to calculate the sound pressure of the bounded hybrid uncertain structural-acoustic system. On the basis of the HGPEM, the microstructural topology optimization is conducted through the enhanced genetic algorithm (GA) with adaptive crossover and mutation probability. Two numerical examples are used to demonstrate the capabilities and efficiency of the presented robust microstructural topology optimization method. The results indicate that the robust optimum design considering multi-scale bounded hybrid uncertainties can achieve better performance than the deterministic optimum design.
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hybrid interval and random analysis for structural acoustic systems including periodical composites and multi scale bounded hybrid uncertain parameters
Mechanical Systems and Signal Processing, 2019Co-Authors: Ning Chen, Siyuan Xia, Jian Liu, Michael BeerAbstract:Abstract For the response analysis of periodical composite structural–acoustic systems with multi-scale uncertain-but-bounded parameters, a bounded hybrid uncertain model is introduced, in which the interval variables and the bounded random variables exist simultaneously. In the periodical composite structural–acoustic system, the equivalent macro constitutive matrix and average mass density of the microstructure are calculated through the homogenization method. On the basis of the conventional first-order Taylor series expansion, a homogenization-based hybrid stochastic interval perturbation method (HHSIPM) is developed for the prediction of periodical composite structural–acoustic systems with multi-scale bounded hybrid uncertain parameters. By incorporating the Gegenbauer Polynomial approximation theory into the homogenization-based finite element method, a homogenization-based Gegenbauer Polynomial expansion method (HGPEM) is also proposed to calculate the bounds of expectation and variance of the sound pressure response. Numerical examples of a hexahedral box and an automobile passenger compartment are given to investigate the effectiveness of the HHSIPM and HGPEM for the prediction of periodical composite structural–acoustic systems with multi-scale bounded hybrid uncertain parameters.
