Abstract
This study presents a technique that uses a model reduction method for the dynamic response analysis of a beam structure to a moving load, which can be modeled either as a moving point force or as a moving body. The nature of the dedicated condensation method tailored to address the moving load case is that the master degrees of freedom are reselected, and the coefficient matrices of the condensed model are recalculated as the load travels from one element to another. Although this process increases computational burden, the overall computational time is still greatly reduced because of the small scale of motion equations. To illustrate and validate the methodology, the technique is initially applied to a simply supported beam subjected to a single-point load moving along the beam. Subsequently, the technique is applied to a practical model for wheel-rail interaction dynamic analysis in railway engineering. Numerical examples show that the condensation model can solve the moving load problem faster than an analytical model or its full finite element model. The proposed model also exhibits high computational accuracy.
Highlights
A structure subjected to moving loads is a common situation in mechanical and civil engineering
Three dedicated model reduction techniques are introduced to condense the finite element (FE) model for the dynamic response analysis of a beam-type structure that is subjected to a moving load
Applying the model reduction method on a moving load case is different from applying it on an immobile load case in several aspects
Summary
A structure subjected to moving loads is a common situation in mechanical and civil engineering. Rieker et al [8] investigated the relationship between model accuracy and the number of elements used to discretize a structure for a moving load analysis. To illustrate the methodology of employing a model reduction method to solve the moving load problem, three typical model reduction methods, namely, DCM [12], the improved reduced system (IRS) method [13], and the system equivalent reduction-expansion process (SEREP) [14], are introduced in this study They serve as examples for investigating whether a reduction method can be employed to accelerate the dynamic response analysis of a beam structure under a moving load. Accuracy and high computational efficiency are discussed through numerical examples
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
