An adaptive algorithm in time domain for dynamic analysis of a simply supported beam subjected to a moving vehicle

Abstract

Communicated by J. CashThis paper presents an adaptive algorithm in the time domain for the dynamic analysis of a simply supported beam subjected to the moving load and moving vehicle with/without varying surface roughness. By expanding variables at a discretized time interval, a coupled spatial-temporal problem can be converted into a series of recursive space problems that are solved by finite element method (FEM), and a piecewised adaptive computing procedure can be carried out for different sizes of time steps. The proposed approach is numerically verified via the comparison with analytical and the Runge-Kutta method-based solutions, and satisfactory results have been achieved.

Efficient decoupling technique applied to the numerical time integration of advanced interaction models for railway dynamics

“…In the direction of making a first approximation to the computational performance of the decoupling solver, the simulations are carried out for one 3D ME rail model without considering the interaction with the wheel through the contact. The following study is focused on the rolling contact phenomenon with the wheel/rail roughness as external excitation, in line with the work carried out by Li et al for a simply supported beam but using an adaptive algorithm in the time domain 11 . With this purpose, it is used a prescribed contact force applied in the contact node that has been previously calculated from a simulation in a tangent and randomly corrugated rail, assuming a corrugation spectrum corresponding to the ISO 3095 limit 26 , which establishes a third-octave band spectrum of the rail roughness.…”

“…The rails have been widely represented by means of a continuous horizontal Bernoulli-Euler beams on periodic discrete elastic supports subjected to a moving load 10,11 . More sophisticated models make use of Timoshenko beam elements to include rotational inertia and shear deformation, but its frequency range is limited up to 1.5 kHz for the tangential vibrations since it does not account the cross-sectional deformation of the rail 1 .…”

A Precise Time-Domain Expanding Boundary-Element Method for Solving Three-Dimensional Transient Heat Conduction Problems with Variable Thermal Conductivity

“…It is worth emphasizing that the method is very easy to implement. Up to now, the method combining the precise algorithm in the time domain with the FEM has been applied to many fields, such viscoelastic problems [9,10], the dynamic analysis of a simply supported beam [11], and heat transfer problems [12,13]. In addition, the method combining the precise algorithm in the time domain with the element-free Galerkin [14] method has been applied to viscoelastic problems [15].…”