# Low-pass-filter-based shock response spectrum and the evaluation method of transmissibility between equipment and sensitive components interfaces

## TL;DR

This paper introduces a novel low-pass-filter-based shock response spectrum (LPSRS) method for analyzing shock signals from pyroshock and ballistic shock sources, enabling accurate transmissibility evaluation between equipment and components.

## Contribution

It proposes a new LPSRS method that captures frequency information of shock signals and predicts transmissibility using modal analysis, validated by FEM simulations.

## Key findings

- LPSRS effectively characterizes shock frequency distribution.
- The method accurately predicts shock transmissibility at different positions.
- Validation confirms the approach's reliability with FEM simulations.

## Abstract

According to the features of the sources of pyroshock and ballistic shock, this study considers the pyroshock and ballistic shock generated by their respective impulsive sources as damped harmonic waves with different frequencies. According to the linear superposition assumption of damped harmonic waves in a linear elastic structure, a shock analysis method based on low-pass-filtered shock signals and their corresponding shock response spectrum (SRS), termed as low-pass-filter-based shock response spectrum (LPSRS), is proposed. LPSRS contains rich information of the frequency distribution of the shock excitation signal. A method to calculate shock transmissibility is proposed based on LPSRS and basic modal information of the equipment structure. LPSRS and SRS curves can be predicted at any given position of the equipment structure. The prediction method is validated by finite element method (FEM) simulation.