Analysis of a Mass-Spring-Damper System's Response Under Stochastic Loading: A Wasserstein Metric-Based Approach

Authors

  • João Felipe Costa Lobato Pontíficia Universidade Católica do Rio de Janeiro, Laboratório de Dinâmica e Vibrações. Rio de Janeiro, Brasil.
  • Roberta Lima Pontíficia Universidade Católica do Rio de Janeiro, Laboratório de Dinâmica e Vibrações. Rio de Janeiro, Brasil.
  • Rubens Sampaio Pontíficia Universidade Católica do Rio de Janeiro, Laboratório de Dinâmica e Vibrações. Rio de Janeiro, Brasil.

DOI:

https://doi.org/10.70567/mc.v42.ocsid8248

Keywords:

Stationary Stochastic Processes, Random Vibrations, Engineer Metric, Wasserstein Metric

Abstract

This paper investigates the response of a deterministic, linear, time-invariant mass-spring-damper system subjected to loading modeled as a stationary stochastic process. The primary objective is to investigate, through numerical simulations using the Monte Carlo method, whether the system response exhibits stationary properties in the steady state. The analysis employs two metrics: engineering distance, which focuses on the proximity of distribution means, and Wasserstein distance, which provides a more robust comparison by quantifying divergence between probability distributions across different sections of the stochastic process. The methodology presented can be adapted for the analysis of other mechanical systems, including nonlinear systems.

References

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Published

2025-12-07

Issue

Vol. 42 No. 20 (2025): Uncertainty Quantification and Stochastic Modeling

Section

Conference Papers in MECOM 2025

License

Copyright (c) 2025 Argentine Association for Computational Mechanics

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