Abstract
Modal parameter is powerful for studying the dynamical characteristics of mechanical systems. For dynamics characteristics observation of chatter suppression of machine tool, dynamics model establishment using modal parameters is essential. To increase the accuracy of the model, its dimension should be increased so that is greater than the number of excitations that can be actually measured. This drawback restricts the development of the structural dynamics model. This paper establishes a modal parameters structural dynamics model of a 3-axis high-precision machine tool and proposes an excitation decoupling method to address this issue. Firstly, a 3-direction 3-order modal structural dynamics model is designed. Based on the proportion of vibration energy, a decoupling method is invented to expand the dimension of external excitation. Secondly, experimental modal analysis is performed on the tool center point of the machine tool, its first 3-order natural frequencies, damping ratios, and dynamic stiffness in spatial orthogonal directions are measured and extracted. Finally, the dynamic responses of the machine tool under free vibration, forced vibration, and mixed vibration are simulated. Their conclusions are verified by vibration theory to ensure the quality of the raised algorithm. This model can balance the modeling quality and solvability of the dynamic equations, leading to brilliant simulation conclusion.
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Acknowledgements
This work was supported in part by the Guangdong Basic and Applied Basic Research Foundation under Grant 2021A1515110043, Shenzhen Science and Technology Program under Grants JSGG20210420091602007 and GXWD20220811151912002.
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© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
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Chen, K., Gan, J., Kang, X., Xu, P. (2023). Structural Dynamics Modeling with Modal Parameters and Excitation Decoupling Method Based on Energy Distribution. In: Yang, H., et al. Intelligent Robotics and Applications. ICIRA 2023. Lecture Notes in Computer Science(), vol 14270. Springer, Singapore. https://doi.org/10.1007/978-981-99-6492-5_14
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DOI: https://doi.org/10.1007/978-981-99-6492-5_14
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