Interpolation of experimental values for working parameters of a construction machine in the data space of an arbitrary dimensionality

Abstract

Abstract A technique has been developed for interpolating the experimentally obtained scattered data using radial basis functions, which can be used to study the constraints of kinematic, power, energy, economic and other parameters in construction, road and hoisting-and-transport machines, as well as their working patterns. The technique consisting of two computational steps arranged as two separate algorithms allows the design and machine working process parameters to be optimised. The technique can be used for the range of machine parameters with an arbitrarily large dimensionality. For the first time, detailed block diagrams of algorithms are presented for interpolating scattered data using radial basis functions. At the first stage, the weighting factor determination is performed for the radial basis function method in each experimental point of scattered data. The second stage involves the actual interpolation or extrapolation of the function value at a given point with arbitrary coordinates. The developed methodology allows rigid interpolation of scattered data, such as the field experiment values of various working parameters for the construction, road, hoisting-and-transport machines and their design parameters. The data space dimensionality for the experimental points is unlimited and can be arbitrarily large.