Runge-Kutta-Based Dynamic Simulation of a Multi-Degree-of-Freedom Vibrating System

Authors

  • Suresh Kumar Sahani

Keywords:

Multi-Degree-of-Freedom (MDOF) Systems; Runge-Kutta Method; Structural Dynamics; Numerical Integration; Vibrational Analysis; Time-History Simulation; Nonlinear Dynamics; Seismic Response; Dynamic Simulation; Engineering Mechanics

Abstract

The accurate simulation of dynamic responses in multi-degree-of-freedom (MDOF) vibrating systems is essential for predicting and analyzing the behavior of complex mechanical and structural systems under dynamic loading. This paper presents a rigorous numerical simulation of MDOF vibrating systems using the fourth-order Runge-Kutta (RK4) integration method, which offers high accuracy and stability in solving coupled second-order differential equations commonly encountered in structural dynamics. The study integrates mathematical modeling with practical engineering contexts, emphasizing the precision of numerical integration methods in handling real-life vibrational problems in civil, aerospace, and mechanical systems. Analytical derivations and numerical implementations are provided to justify the simulation outcomes. Verified datasets from benchmark structural dynamics studies are used to validate the results. The findings reveal that RK4 is exceptionally effective in capturing the transient behavior and resonance characteristics of MDOF systems. The study establishes a robust foundation for applying RK methods in dynamic analysis, with implications for seismic design, automotive engineering, and vibration control strategies.

DOI: https://doi.org/10.17762/ijisae.v7i4.7733

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Published

25.12.2019

How to Cite

Suresh Kumar Sahani. (2019). Runge-Kutta-Based Dynamic Simulation of a Multi-Degree-of-Freedom Vibrating System. International Journal of Intelligent Systems and Applications in Engineering, 7(4), 275 –. Retrieved from https://ijisae.org/index.php/IJISAE/article/view/7733

Issue

Vol. 7 No. 4 (2019)

Section

Research Article

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