Work

Dynamical Mode of Case Study on Mass-spring System on a Massless Cart: Compared Analytical and Numerical Solutions

Year: 2025

Type: article

Abstract: In this research, we study the dynamical behaviors of a mass-spring system on a massless moving cart. The Lagrangian of the system was first constructed, which resulted in obtaining the Euler-Lagrange equation (ELE) of the system. As a next step, we used the Laplace transformation technique to attain an exact solution for ELE of the system. Furthermore, numerical and simulation techniques were applied with the help of MATLAB software, where we solved ELE numerically for some specified initial conditions. Simulation results indicate that they are in good agreement with the exact analytical solution. Finally, some simulation results were presented in this research.

Source: JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES

DOI: 10.26782/jmcms.2025.02.00001

Authors: Rabab Jarrar, Rabia Safdar, Noorhan F. AlShaikh Mohammad, Olivia Florea, Jihad Asad

Language: English

Topic: Dynamics and Control of Mechanical Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4407797625

FWCI:

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