Journal
FINITE ELEMENTS IN ANALYSIS AND DESIGN
Volume 62, Issue -, Pages 8-17Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.finel.2012.07.002
Keywords
Space-time finite element method; Moving inertial load; Vibrations
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Funding
- National Centre for Research and Development (NCBiR)
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The paper deals with the vibrations of structures subjected to amovinginertialload. Classical description of the moving mass particle based on the Hermitian shape functions fails in the case of wave equations of motion. Especially for hyperbolic equations solutions diverge. The velocity approach to the spacetimefiniteelement method has been used. Continuous Galerkin method for solving differential equations of motion was applied. Comprehensive moving mass matrices and elemental matrices for the case of a string, the Euler beam, and the Timoshenko beam have been derived. The numerical results are compared with the literature semi-analytical solutions. These numerical algorithms can be applied in transport engineering, manufacturing, and robotics. (C) 2012 Elsevier B. V. All rights reserved.
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