# Theoretical Analysis and Numerical Simulation Research on the Response of Inertial Switches

## TL;DR

This paper studies inertial switches using theoretical models and simulations to understand their behavior under different conditions and improve their design.

## Contribution

The paper introduces a spring-mass model and numerical simulations to analyze inertial switch performance and design parameters.

## Key findings

- Theoretical predictions and numerical simulations showed good agreement in inertial switch behavior.
- Binary phase diagrams revealed critical design parameters like overload peak value and pulse width.
- Orthogonal simulations identified key factors influencing the switch's dynamic response.

## Abstract

This paper focuses on inertial switches, which are vital in multiple fields. A theoretical analysis model based on the spring-mass model was proposed, aiming to acquire the mechanical performance of the inertial switch under different loading conditions and reveal the influence of design parameters on its dynamic response. Moreover, a numerical simulation model was established using ADAMS 2019 software. Through a series of orthogonal simulations, the effects of the overload peak value and pulse width on the switch’s characteristics were studied. The comparison between theoretical predictions and numerical results shows good agreement. Furthermore, based on numerical results, binary phase diagrams of the peak value and pulse width were obtained, determining the critical curves involving the overload peak value and pulse width, which provides guidance for the design of inertial switches.