The indirect measurement of tensile strength of material by the grey prediction model GMC(1, n)

Abstract

A new prediction model presented in this paper is called the grey model with convolution integral, abbreviated as GMC(1, n). Additional n − 1 series can be introduced by the new model GMC(1, n) to improve the accuracy of prediction made by the existing grey model GM(1, 1). Improvements on the existing grey prediction model GM(1, n) are made to a large extent and the messages for a system can be inserted sufficiently. The relationship between input series and output series is constructed sufficiently by GMC(1, n) and high accuracy of indirect measurement or prediction for a dynamic system can be broadly anticipated. The relationship between the tensile strength and Brinell hardness number of a material is very intensive, but a definite explicit or implicit function to describe it does not exist. The property of a material is a grey system. It is more difficult to measure the tensile strength than the Brinell hardness number of a material especially for a higher temperature. The indirect measurement of the tensile strength of a material for a higher temperature can be made by GMC(1, n) with the Brinell hardness number of the material acting as a leading indicator. The results show that the accuracy of the indirect measurement of the tensile strength is satisfactory.