This paper attends to a co‐simulation approach for solver coupling in time domain. A general multibody system is divided into several subsystems, which are coupled by algebraic constraints. The coupling technique analyzed here is a linear‐implicit predictor/corrector approach, i.e. coupling variables for the corrector step are calculated by one step of a Newton‐iteration. Within the presented approach, the coupling conditions together with its first and second derivatives are enforced simultaneously at the communication‐time points. This index‐1 approach uses cubic polynomials to approximate the coupling variables. The space of polynomials of degree ≤ 3 is a four‐dimensional vector space. One of the four degrees of freedom is used for a continuous approximation of the coupling variables at the communication‐time points. The three remaining degrees of freedom are used in order to enforce the coupling conditions on position, velocity, and acceleration level. Due to the higher order approximation, the numerical errors are very small and a good convergence behavior is achieved. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Proceedings in Applied Mathematics & Mechanics – Wiley
Published: Jan 1, 2017
It’s your single place to instantly
discover and read the research
that matters to you.
Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.
All for just $49/month
Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly
Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.
Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.
Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.
All the latest content is available, no embargo periods.
“Hi guys, I cannot tell you how much I love this resource. Incredible. I really believe you've hit the nail on the head with this site in regards to solving the research-purchase issue.”Daniel C.
“Whoa! It’s like Spotify but for academic articles.”@Phil_Robichaud
“I must say, @deepdyve is a fabulous solution to the independent researcher's problem of #access to #information.”@deepthiw
“My last article couldn't be possible without the platform @deepdyve that makes journal papers cheaper.”@JoseServera