Nowadays, with the increasing demand for an exploitative productivity the speed of machines is also increased respectively. The effect of inertia forces, in case of operation at high speed, will become significantly because it causes the change of the stiffness, may result to unstable situations and change the natural frequencies of the system. In a previous study, the nonlinear modeling of the elastic beam with coupling between axial, bending, and transverse deformations was presented. From this point of view geometric stiffening effects on the deformation of the elastic beam considering high-order coupling terms at high angular velocities are investigated in this paper and compared to other modeling approaches [1, 2]. The goal of this contribution is to develop a suitable and easy to use modeling approach of higher order.
- Dynamic Systems and Control Division
Modeling and Simulation of Higher Order Couplings of a Guided Nonlinear Elastic Beam
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Quang, KL, & Söffker, D. "Modeling and Simulation of Higher Order Couplings of a Guided Nonlinear Elastic Beam." Proceedings of the ASME 2012 5th Annual Dynamic Systems and Control Conference joint with the JSME 2012 11th Motion and Vibration Conference. Volume 3: Renewable Energy Systems; Robotics; Robust Control; Single Track Vehicle Dynamics and Control; Stochastic Models, Control and Algorithms in Robotics; Structure Dynamics and Smart Structures; Surgical Robotics; Tire and Suspension Systems Modeling; Vehicle Dynamics and Control; Vibration and Energy; Vibration Control. Fort Lauderdale, Florida, USA. October 17–19, 2012. pp. 373-379. ASME. https://doi.org/10.1115/DSCC2012-MOVIC2012-8715
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