Abstract
Abstract. This study conducts an analytical investigation of the dynamic response characteristics of a two-stage series composite system (TsSCS) with a planetary transmission consisting of dual-power branches. An improved incremental harmonic balance (IHB) method, which solves the closed solution of incremental parameters passing through the singularity point of the analytical path, based on the arc length extension technique, is proposed. The results are compared with those of the numerical integration method to verify the feasibility and effectiveness of the improved method. Following that, the multi-scale perturbation (MsP) method is applied to the TsSCS proposed in this subject to analyze the parameter excitation and gap nonlinear equations and then to obtain the analytical frequency response functions including the fundamental, subharmonic, and superharmonic resonance responses. The frequency response equations of the primary resonance, subharmonic resonance, and superharmonic resonance are solved to generate the frequency response characteristic curves of the planetary gear system (PGS) in this method. A comparison between the results obtained by the MsP method and the numerical integration method proves that the former is ideal and credible in most regions. Considering the parameters of TsSCS excitation frequency and damping, the nonlinear response characteristics of steady-state motion are mutually converted. The effects of the time-varying parameters and the nonlinear deenthing caused by the gear teeth clearance on the amplitude–frequency characteristics of TsSCS components are studied in this special topic.
Highlights
Planetary gear systems (PGSs) are widely used in various fields such as ships, aviation, automobiles, machinery, and metallurgy based on their unique advantages
Scholars have begun to carry out theoretical research on the dynamic characteristics of PGSs, including many aspects of the dynamic characteristics of PGSs, such as free vibration, dynamic response, load sharing, vibration control, and dynamic stability, but detailed study of dynamic characteristics of the two-stage series composite system (TsSCS) with a planetary transmission consisting of dual-power branches of underwater devices has not yet been reported
The current paper proposes the application of the seminumerical incremental harmonic balance and semi-analytical multi-scale perturbation methods to a two-stage series composite PGS
Summary
Planetary gear systems (PGSs) are widely used in various fields such as ships, aviation, automobiles, machinery, and metallurgy based on their unique advantages. The abovementioned studies indicate that the adverse effects of the gear and planet carrier manufacturing errors can be minimized by improving the planetary load-sharing characteristics under quasi-static conditions, these modifications lead to increased gear contact stress These static analyses alone cannot predict the actual design of the system because the increasing flexibility of the TsSCS causes its performance to change only under dynamic conditions. Scholars have begun to carry out theoretical research on the dynamic characteristics of PGSs, including many aspects of the dynamic characteristics of PGSs, such as free vibration, dynamic response, load sharing, vibration control, and dynamic stability, but detailed study of dynamic characteristics of the TsSCS with a planetary transmission consisting of dual-power branches of underwater devices has not yet been reported.
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