Using a coarse time discretisation for saving calculation effort will induce non-uniform heat input within thermal-transient analyses which include translational rigid body motions by the technique of discrete displacement adjustment. We are going to show, why these non-uniformities are generally unavoidable and how a suitable choice of time step size pre-minimizes their consequences. Afterwards, the amount and location of the remaining load-bumps are analytical deduced for an arbitrary motion. With this information, we develop a correction method based on arithmetic calculations to avoid these numerical caused errors. For practical use, the correction is applied as an algorithm to the solution process of analyses with spatial discretized motion partners. We finish by demonstrating the performance of the correction.
An Arithmetic Correction for Avoiding Non-Uniform Heat Input Distribution Caused by Translational Motions Within Time-Discrete Thermal Analyses
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Partzsch, M, & Beitelschmidt, M. "An Arithmetic Correction for Avoiding Non-Uniform Heat Input Distribution Caused by Translational Motions Within Time-Discrete Thermal Analyses." Proceedings of the ASME 2014 12th Biennial Conference on Engineering Systems Design and Analysis. Volume 3: Engineering Systems; Heat Transfer and Thermal Engineering; Materials and Tribology; Mechatronics; Robotics. Copenhagen, Denmark. July 25–27, 2014. V003T12A008. ASME. https://doi.org/10.1115/ESDA2014-20239
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