Dynamics of a 3dof torsional system with a dry friction controlled path |
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| Institution: | 1. Department of Mechanical and Industrial Engineering, Louisiana State University, USA;2. Volvo CE, Sweden;1. Vibration University Technology Centre, Imperial College London, SW7 2AZ London, UK;2. Rolls Royce Plc, DE24 8BJ Derby, UK;1. School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou 510641, China;2. CONCAVE Research Center, Mechanical & Industrial Engineering, Concordia University, Montreal, Canada;1. Department of Mechanical Engineering, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana;2. Department of Materials Engineering, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana;3. Department of Mechanical Engineering, North Carolina A&T State University, Greensboro, NC, USA;1. Department of Mechanical Engineering, School of Engineering, University of Petroleum & Energy Studies, Dehradun, 248007, India;2. Department of Electrical and Electronics Engineering, School of Engineering, University of Petroleum & Energy Studies, Dehradun, 248007, India;1. Department of Mechanical Engineering, Wayne State University, 5050 Anthony Wayne Drive, Detroit, MI 48202, USA;2. Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowski Street, 90-924 Lodz, Poland |
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| Abstract: | A three-degrees of freedom semi-definite torsional system representing an automotive driveline is studied in presence of a torque converter clutch that manifests itself as a dry friction path. An analytical procedure based on the linear system theory is proposed first to establish the stick-to-slip boundaries. Smoothened and discontinuous Coulomb friction formulations are then applied to the nonlinear system, and the differential governing equations are numerically solved given harmonic torque excitation and a mean load. Time domain histories illustrating dry friction-induced stick–slip motions are predicted for different saturation torques and system parameters. Approximate analytical solutions based on distinct states are also developed and successfully compared with numerical studies. Analysis shows that the conditioning factor associated with the smoothened friction model (hyperbolic tangent) must be carefully selected. Then nonlinear frequency responses are constructed from cyclic time histories and the stick–slip boundaries predictions (as yielded by the linear system theory) are confirmed. In particular, the effect of secondary inertia is analytically and numerically investigated. Results show that the secondary inertia has a significant influence on the dynamic response. A quasi-discontinuous oscillation is found with the conventional bi-linear friction model in which the secondary inertia is ignored. Finally, our methods are successfully compared with two benchmark analytical and experimental studies, as available in the literature on two-degrees of freedom translational systems. |
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