In order to improve the fan noise, multi-objective optimization algorithm was implemented optimize blade structure. Firstly, theoretical model with flow rate and power of as objectives established verified; then, global sensitivity analysis method based on sobol' used obtain contributions each parameter performance by taking angle chord length parameters; finally, sensitive parameters are selec...

This paper describes an accurate and computationally efficient surrogate method, known as the polynomial dimensional decomposition (PDD) method, for estimating a general class of density-based fsensitivity indices. Unlike the variance-based Sobol index, the f-sensitivity index is applicable to random input following dependent as well as independent probability distributions. The proposed method...

In this paper, the non-linear dynamic response of rectangular atomic force microscopy in tapping mode is considered. The effect of cantilever’s geometrical parameters (e.g., cantilever length, width, thickness, tip length and the angle between the cantilever and the sample's surface in liquid environment has been studied by taking into account the interaction forces. Results indicate that the r...

The stochastic collocation method using sparse grids has become a popular choice for performing stochastic computations in high dimensional (random) parameter space. In addition to providing highly accurate stochastic solutions, the sparse grid collocation results naturally contain sensitivity information with respect to the input random parameters. In this paper, we use the sparse grid interpo...

A recently developed Centroidal Voronoi Tessellation (CVT) sampling method is investigated here to assess its suitability for use in response surface generation. CVT is an unstructured sampling method that can generate nearly uniform point spacing over arbitrarily shaped Mdimensional parameter spaces. For rectangular parameter spaces (hypercubes), CVT appears to extend to higher dimensions more...

The splitting of Quasi-Monte Carlo (QMC) point sequences into blocks or interleaved substreams has been suggested to raise the speed of distributed numerical integration and to lower to traffic on the network. The usefulness of this approach in GRID environments is discussed. After specifying requirements for using QMC techniques in GRID environments in general we review and evaluate the propos...