Abstract
The paper presents a digital twin of continuously variable transmission (CVT), developed by the authors, and intended for detailed predictive modeling of CVT dynamics. The paper addresses the problems of mathematical modeling of the device, the choice of a suitable numerical method for dynamics simulations, and the architecture of problem-oriented software implementing the functionality of the digital twin. Mathematical models proposed consider flexibility of almost all bodies the device consists of. Equations of motion yielding from the models are obtained in the framework of Lagrangian mechanics. Spectral properties of the equation of motion are analyzed in the context of applying numerical integration methods for dynamics problems. The initial value problem for ordinary differential equations of motion is solved using a variety of single step numerical integration methods; the most promising class of methods is found. Specialized software package is developed for practically solving problems of CVT dynamics. Most important principles of software design are discussed.
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The authors thank the Russian Science Foundation for their support of research under grant No. 18-11-00245.
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Orlov, S., Burkovski, L. (2021). Digital Twin of Continuously Variable Transmission for Predictive Modeling of Dynamics and Performance Optimization. In: Schaumburg, H., Korablev, V., Ungvari, L. (eds) Technological Transformation: A New Role For Human, Machines And Management. TT 2020. Lecture Notes in Networks and Systems, vol 157. Springer, Cham. https://doi.org/10.1007/978-3-030-64430-7_9
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