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Keywords: harmonic balance method
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Proceedings Papers

Proc. ASME. IMECE2023, Volume 6: Dynamics, Vibration, and Control, V006T07A026, October 29–November 2, 2023
Publisher: American Society of Mechanical Engineers
Paper No: IMECE2023-113634
..., these nonlinear ordinary differential equations are transformed into a set of nonlinear algebraic equations by using Harmonic Balance Method. Fourier transformation is used in the calculation of the Fourier coefficients of the nonlinear forcing terms. Then, numerical solutions to the resulting nonlinear algebraic...
Proceedings Papers

Proc. ASME. IMECE2023, Volume 6: Dynamics, Vibration, and Control, V006T07A028, October 29–November 2, 2023
Publisher: American Society of Mechanical Engineers
Paper No: IMECE2023-113665
... friction dampers, the effect of cumulative wear degradation on the structure over the operational lifetime is often underestimated. In this paper, the finite element model of a shrouded blade is used for this purpose as a case study. Harmonic Balance Method (HBM) in conjunction with Receptance Method (RM...
Proceedings Papers

Proc. ASME. IMECE2022, Volume 5: Dynamics, Vibration, and Control, V005T07A098, October 30–November 3, 2022
Publisher: American Society of Mechanical Engineers
Paper No: IMECE2022-95653
... nonlinear dynamics harmonic balance method AFT method dry friction fretting wear Proceedings of the ASME 2022 International Mechanical Engineering Congress and Exposition IMECE2022 October 30-November 3, 2022, Columbus, Ohio IMECE2022-95653 EFFECT OF NUMBER OF CONTACT POINTS...
Proceedings Papers

Proc. ASME. IMECE2019, Volume 4: Dynamics, Vibration, and Control, V004T05A090, November 11–14, 2019
Publisher: American Society of Mechanical Engineers
Paper No: IMECE2019-12218
... elements using Timoshenko beam theory and disks are considered as rigid masses. Harmonic Balance Method (HBM) is used to obtain nonlinear algebraic equations in the frequency domain and Alternating Frequency Time (AFT) method is utilized to find Fourier coefficients of nonlinear bearing forces. In order...
Proceedings Papers

Proc. ASME. IMECE2011, Volume 7: Dynamic Systems and Control; Mechatronics and Intelligent Machines, Parts A and B, 963-973, November 11–17, 2011
Publisher: American Society of Mechanical Engineers
Paper No: IMECE2011-63903
... equations are obtained. The dynamic stability of these two models are studied and compared by the generalized harmonic balance method. Geometric stiffening nonlinearities harmonic balance method 1 Copyright © 2011 by ASME Proceedings of the ASME 2011 International Mechanical Engineering Congress...
Proceedings Papers

Proc. ASME. IMECE2010, Volume 8: Dynamic Systems and Control, Parts A and B, 117-127, November 12–18, 2010
Publisher: American Society of Mechanical Engineers
Paper No: IMECE2010-38788
... stiffness. The periodical response of the system is computed in the frequency domain, by means of the harmonic balance method. The harmonic excitation is calculated by means of Fourier analysis of the periodic force profile acting on the gear teeth. The methodology is applied to a case of industrial...