International Journal of Vehicle Structures and Systems

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Rail Vehicle Modelling and Simulation using Lagrangian Method


Affiliations
1 Mech. Engg. Dept., Maharishi Markandeshwar (Deemed to be University), Mullana, Haryana, India
2 Dept. of Mech. Engg, Amity School of Engg. and Tech., Amity University, Uttar Pradesh, Noida, India
3 Mech. Engg. Dept., AITAM, Tekkali, Andra Pradesh, India
 

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Formulation of vehicle dynamics problem is dealt either with Newton’s method or Lagrange’s method. This paper provides a broad understanding of Lagrange’s method applied to railway vehicle system. The Lagrange’s method of analytical dynamics provides a complete set of equations through differentiations of a function called Lagrangian function which includes kinetic and potential energy with respect to independent generalised coordinates assigned to the system. This paper also discusses rigid body rotational dynamics along with the concept of generalised coordinates (constrained and un-constrained) and generalised forces in detail.

Keywords

Lagrangian Function, Euler’s Angle, Newton’s Method, Generalized Forces, Generalized Coordinates, Body Fixed Axes.
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  • Rail Vehicle Modelling and Simulation using Lagrangian Method

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Authors

Rakesh Chandmal Sharma
Mech. Engg. Dept., Maharishi Markandeshwar (Deemed to be University), Mullana, Haryana, India
Sunil Kumar Sharma
Dept. of Mech. Engg, Amity School of Engg. and Tech., Amity University, Uttar Pradesh, Noida, India
Srihari Palli
Mech. Engg. Dept., AITAM, Tekkali, Andra Pradesh, India

Abstract


Formulation of vehicle dynamics problem is dealt either with Newton’s method or Lagrange’s method. This paper provides a broad understanding of Lagrange’s method applied to railway vehicle system. The Lagrange’s method of analytical dynamics provides a complete set of equations through differentiations of a function called Lagrangian function which includes kinetic and potential energy with respect to independent generalised coordinates assigned to the system. This paper also discusses rigid body rotational dynamics along with the concept of generalised coordinates (constrained and un-constrained) and generalised forces in detail.

Keywords


Lagrangian Function, Euler’s Angle, Newton’s Method, Generalized Forces, Generalized Coordinates, Body Fixed Axes.

References





DOI: https://doi.org/10.4273/ijvss.10.3.07