Abstract

Abstract:In this study the detailed One-at-a-Time sensitivity analysis of nonlinear mass spring-damper systems is carried out with numerical simulation. The degree of sensitivity was measured with a sensitivity index and based on its sensitivity Fuzzy-sets were established. The sensitivity of a parameter then can be expressed by the membership to the Fuzzy-sets. In this study the root mean square of acceleration, the maximum amplitude of acceleration and the peak frequency were chosen as output variables to measure sensitivity. With this research it was proven, that the root mean square of acceleration and the peak frequency can be used for sensitivity study of nonlinear vibration systems effectively.

Highlights

  • One of the exciting areas in the study of nonlinear systems is the sensitivity analysis of parameters

  • In this study the root mean square of acceleration, the maximum amplitude of acceleration and the peak frequency were chosen as output variables to measure sensitivity

  • With this research it was proven, that the root mean square of acceleration and the peak frequency can be used for sensitivity study of nonlinear vibration systems effectively

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Summary

Introduction

One of the exciting areas in the study of nonlinear systems is the sensitivity analysis of parameters. It is used in numerous scientific fields like modeling of economic [1], chemical [2] and manufacturing processes [3], [4], examining environmental and agricultural engineering models [5]-[8]. It can be effectively used in medical research too [9]. It can be seen that the applicability of sensitivity study is widespread, there are several methods [21] (Fig. 1)

Sensitivity analysis method
Examined nonlinear vibration system
Using the RMS of acceleration
Using the maximum amplitude of acceleration
Using the maximum peak frequency of acceleration
Comparison of results
Findings
Conclusion and further research tasks
Full Text
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