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On the numerical damping of time integrators for coupled mechatronic systems

✍ Scribed by Olivier Brüls; Jean-Claude Golinval

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
331 KB
Volume
197
Category
Article
ISSN
0045-7825

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✦ Synopsis

The generalized-a time integrator is considered for the simulation of mechatronic systems. In this context, the fundamental concept of numerical damping is analysed for coupled sets of first and second-order differential-algebraic equations. First, it appears that the algebraic variables do not influence the spectral properties of the dynamic variables. Second, we demonstrate that the coupling between the dynamic variables does not influence the high-frequency spectral response, so that the numerical damping can be determined as usual from elementary characteristic polynomials. Those results are exploited to assess the stability properties of the scheme and to select an algorithm with optimal damping properties.

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✍ Setsuo Sagara; Zhen-Yu Zhao 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 926 KB

A discrete-time method is developed for parameter estimation of continuous-time systems. The use of a linear integral filter overcomes the initial condition problem and simplifies the application of the results from discrete-time model identification in continuous-time system identification.