A snowpiercer model: dynamic beam solution for highly nonlinear reaction, energy inequality, and granular foundation

A snowpiercer model: dynamic beam solution for highly nonlinear reaction, energy inequality, and granular foundation Full article

Journal

Journal of Convex Analysis
ISSN: 0944-6532

Output data

Year: 2027, Volume: 34, Number: 1, Pages: 408-414 Pages count : 7 DOI: 10.68381/jca34027

Tags

Dynamic Euler-Bernoulli beam, rail road, granular foundation, semi-linear hyperbolic equation, energy inequality

Authors

Kovtunenko Victor A. ^1,2

Affiliations

1	Lavrent’ev Institute of Hydrodynamics, Siberian Division of the Russian Academy of Sciences, Novosibirsk, Russia
2	Dept. of Mathematics and Scientific Computing, Karl-Franzens University, NAWI Graz, Graz, Austria

The dynamic contact problem for Euler-Bernoulli beam equation with highly nonlinear reaction term is formulated to model deflection of a rail road on a granular foundation under motion of a high-speed vehicle (snowpiercer). Based on the energy inequality and Galerkin approximation, variational solution to the evolutionary semi-linear differential equation is proved. The reaction of the granular foundation is presented for periodic beam vibrations, which illustrate plastic, ageing, and hardening phenomena.

Kovtunenko V.A.
A snowpiercer model: dynamic beam solution for highly nonlinear reaction, energy inequality, and granular foundation
Journal of Convex Analysis. 2027. V.34. N1. P.408-414. DOI: 10.68381/jca34027 OpenAlex

Submitted:	Jun 15, 2025
Accepted:	Sep 16, 2025

≡ OpenAlex:

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