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Investigation of chatter suppression by using rotating composite boring bar CNT-filled based on a modified nonlinear dynamical model

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Abstract

Compared with traditional linear models, the nonlinear model of boring can profoundly reveal the physical mechanism and mathematical laws of chatter occurrence, and has more rich scientific connotations. The nonlinear kinematic equations of the composite boring system containing carbon nanomaterials (CNMs) are derived by utilizing the energy method, which is taken to be the entry point for this paper. First of all, the basic mechanical parameters for the composite boring bar CNMs-embedded are derived based on the Halpin–Tsai Model (HTM) and the Rules of Mixture (ROM). From the perspective of continuous distribution, the mathematical expressions of kinetic and potential energy of the rotating boring bar are proposed by introducing the nonlinear strain. The specific and detailed nonlinear dynamic equations of the boring system are obtained using the extended Hamilton’s principle by considering the non-conservative virtual work consists of the nonlinear regenerative cutting and the damping force resulting from the viscoelastic and hysteretic damping of composite. Next, the nonlinear equations above are numerically decomposed and simplified using the general Galerkin method combined with modal expansion. The compact nonlinear equations are solved by the Multi-scale method and the primary and super-harmonic resonance solutions are obtained for the forward and backward modes, respectively. Then, the above nonlinear theoretical models are validated with published literature. Finally, the effects of CNMs, carbon fibers, cutting technological parameters on chatter amplitude as well as the unstable zone (curves) are investigated. The conclusions obtained confirm that the nonlinear theoretical model of the boring system proposed in present paper can effectively predict the complex relationships between various parameters within the boring system and provide theoretical guidance for the design of the composite cutter bar.

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Data availability

The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

This work was financially supported by the National Natural Science Foundation of China (Grant No. 11672166) and the Natural Science Foundation of Shandong Province (Grant no. ZR202103070107).

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The funding was provided by the National Natural Science Foundation of China (Grant No. 11672166) and the Natural Science Foundation of Shandong Province (Grant No. ZR202103070107).

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Authors and Affiliations

  1. College of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao, 266590, People’s Republic of China

    Jinfeng Zhang, Junlei Jia, Zhong Wang, Yongsheng Ren & Peisi Zhong

  2. Engineering and Training Center, Shandong University of Science and Technology, Qingdao, 266590, People’s Republic of China

    Chao Feng

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  1. Jinfeng Zhang
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Zhang, J., Jia, J., Feng, C. et al. Investigation of chatter suppression by using rotating composite boring bar CNT-filled based on a modified nonlinear dynamical model. Nonlinear Dyn 111, 20735–20770 (2023). https://doi.org/10.1007/s11071-023-08986-7

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