Construction of Microaccelerations Fractal Model on the Basis of Weierstrass-Mandelbrot Function

TL;DR

This paper demonstrates a method to model low-frequency microaccelerations using a fractal approach based on the Weierstrass-Mandelbrot function, supported by statistical validation techniques.

Contribution

It introduces a fractal estimation method for microaccelerations utilizing the Weierstrass-Mandelbrot function with statistical proof of validity.

Findings

Fractal model accurately estimates low-frequency microaccelerations.

Statistical tests confirm the validity of the fractal estimation approach.

The method provides a new tool for analyzing microaccelerations in engineering contexts.

Abstract

In work the opportunity of construction fractal estimation of low-frequency component microaccelerations with the help of the valid part to Weierstrass-Mandelbrot function at identically zero phase is statistically proved. The proof will be carried out with the help of correlation factor and nonparametric rang criterion Cox - Stuart.