Analysis of a Mass-Spring-Damper System's Response Under Stochastic Loading: A Wasserstein Metric-Based Approach
DOI:
https://doi.org/10.70567/mc.v42.ocsid8248Palabras clave:
Stationary Stochastic Processes, Random Vibrations, Engineer Metric, Wasserstein MetricResumen
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.
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Derechos de autor 2025 Asociación Argentina de Mecánica Computacional
Esta obra está bajo una licencia internacional Creative Commons Atribución 4.0.
Esta publicación es de acceso abierto diamante, sin ningún tipo de costo para los autores ni los lectores.
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