This paper presents a combined finite element/finite difference technique to determine the response of a beam excited by a moving mass. The technique introduced herein is based on a Lagrange Multiplier formulation that allows one to represent the compatibility condition at the beam/mass interface using a set of auxiliary functions. This approach can be easily adapted to a standard finite element code. In addition, its extension to treat more complex problems is straightforward. Two examples of application are discussed.
Cifuentes, Arturo. "Dynamic Response of a Beam Excited by a Moving Mass." Journal of Finite Elements in Analysis and Design 5, no. 3 (October 1989): 237-246.
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