https://sam.ensam.eu:443 The DSpace digital repository system captures, stores, indexes, preserves, and distributes digital research material. Thu, 14 May 2026 11:22:48 GMT 2026-05-14T11:22:48Z http://hdl.handle.net/10985/8854 Harmonic Balance-Based Approach for Quasi-Periodic Motions and Stability Analysis THOUVEREZ, Fabrice; GUSKOV, Mikhail Quasi-periodic motions and their stability are addressed from the point of view of different harmonic balance-based approaches. Two numerical methods are used: a generalized multidimensional version of harmonic balance and a modification of a classical solution by harmonic balance. The application to the case of a nonlinear response of a Duffing oscillator under a bi-periodic excitation has allowed a comparison of computational costs and stability evaluation results. The solutions issued from both methods are close to one another and time marching tests showing a good agreement with the harmonic balance results confirm these nonlinear responses. Besides the overall adequacy verification, the observation comparisons would underline the fact that while the 2D approach features better performance in resolution cost, the stability computation turns out to be of more interest to be conducted by the modified 1D approach. Sun, 01 Jan 2012 00:00:00 GMT http://hdl.handle.net/10985/8854 2012-01-01T00:00:00Z THOUVEREZ, Fabrice GUSKOV, Mikhail Quasi-periodic motions and their stability are addressed from the point of view of different harmonic balance-based approaches. Two numerical methods are used: a generalized multidimensional version of harmonic balance and a modification of a classical solution by harmonic balance. The application to the case of a nonlinear response of a Duffing oscillator under a bi-periodic excitation has allowed a comparison of computational costs and stability evaluation results. The solutions issued from both methods are close to one another and time marching tests showing a good agreement with the harmonic balance results confirm these nonlinear responses. Besides the overall adequacy verification, the observation comparisons would underline the fact that while the 2D approach features better performance in resolution cost, the stability computation turns out to be of more interest to be conducted by the modified 1D approach. http://hdl.handle.net/10985/17924 Damping coefficient estimation of a squeeze-film damper operating in a dual shaft test rig GIBERT, Claude; SANCHEZ, Lionel; THOUVEREZ, Fabrice; GUSKOV, Mikhail Squeeze film dampers (SFD) are used to reduce dynamical loads in rotating machinery or to improve their performances in numerous industrial applications. The present paper considers the response of a dual shaft system with a SFD mounted on one of its bearings. The study is concerned with the overall system's dynamics in presence of a sealed SFD bearing with a lateral feeding groove and more specifically with the characterization of such damper in operational conditions. The design characteristics of the SFD are based on the linear approximation and the optimization w.r.t. sensitivity of appropriate eigenmodes of a numerical model of the dual shaft test rig. In order to gain more insight into the SFD operation, the experimental kinematic and pressure measurements data are processed within a numerical model of the fluid film using the short bearing approximation of the Reynolds equation and taking into account the flow into the groove. The work holds for low Reynolds number and completely sealed SFD were vapour cavitation is completely absent. Fri, 01 Jan 2010 00:00:00 GMT http://hdl.handle.net/10985/17924 2010-01-01T00:00:00Z GIBERT, Claude SANCHEZ, Lionel THOUVEREZ, Fabrice GUSKOV, Mikhail Squeeze film dampers (SFD) are used to reduce dynamical loads in rotating machinery or to improve their performances in numerous industrial applications. The present paper considers the response of a dual shaft system with a SFD mounted on one of its bearings. The study is concerned with the overall system's dynamics in presence of a sealed SFD bearing with a lateral feeding groove and more specifically with the characterization of such damper in operational conditions. The design characteristics of the SFD are based on the linear approximation and the optimization w.r.t. sensitivity of appropriate eigenmodes of a numerical model of the dual shaft test rig. In order to gain more insight into the SFD operation, the experimental kinematic and pressure measurements data are processed within a numerical model of the fluid film using the short bearing approximation of the Reynolds equation and taking into account the flow into the groove. The work holds for low Reynolds number and completely sealed SFD were vapour cavitation is completely absent. http://hdl.handle.net/10985/10080 Harmonic Balance-Based Approach for Quasi-Periodic Motions and Stability Analysis THOUVEREZ, Fabrice; GUSKOV, Mikhail Quasi-periodic motions and their stability are addressed from the point of view of different harmonic balance-based approaches. Two numerical methods are used: a generalized multidimensional version of harmonic balance and a modification of a classical solution by harmonic balance. The application to the case of a nonlinear response of a Duffing oscillator under a bi-periodic excitation has allowed a comparison of computational costs and stability evaluation results. The solutions issued from both methods are close to one another and time marching tests showing a good agreement with the harmonic balance results confirm these nonlinear responses. Besides the overall adequacy verification, the observation comparisons would underline the fact that while the 2D approach features better performance in resolution cost, the stability computation turns out to be of more interest to be conducted by the modified 1D approach. Sun, 01 Jan 2012 00:00:00 GMT http://hdl.handle.net/10985/10080 2012-01-01T00:00:00Z THOUVEREZ, Fabrice GUSKOV, Mikhail Quasi-periodic motions and their stability are addressed from the point of view of different harmonic balance-based approaches. Two numerical methods are used: a generalized multidimensional version of harmonic balance and a modification of a classical solution by harmonic balance. The application to the case of a nonlinear response of a Duffing oscillator under a bi-periodic excitation has allowed a comparison of computational costs and stability evaluation results. The solutions issued from both methods are close to one another and time marching tests showing a good agreement with the harmonic balance results confirm these nonlinear responses. Besides the overall adequacy verification, the observation comparisons would underline the fact that while the 2D approach features better performance in resolution cost, the stability computation turns out to be of more interest to be conducted by the modified 1D approach.