Design optimization of planetary gear trains under dynamic constraints and parameter uncertainty
MetadataShow full item record
In this work, the vibrational behavior of planetary gear trains is of concern as this can lead to detrimental effects including fatigue, comfort and acoustics. Lumped-parameter models are useful in early development phases of planetary gear sets to assess the modal response and optimize performance. This design phase is, though, plagued by uncertainty, which if neglected can lead to drastically suboptimal designs. Methods are demonstrated here to optimally design planetary gear sets, which ensures proper performance with respect to resonance frequencies under parameter uncertainty. The parametric model in this work is used to ascertain the resonance behavior of such free vibration. Lumped-parameter models are accurate in terms of eigenfrequencies and their eigenmodes, yet require extremely low computational effort, allowing for numerical optimization and uncertainty analysis. Methodologies utilizing optimization are introduced to design generic planetary gear trains; three formulations are shown. Mass and inertia terms are used as design variables. The frequency ranges have been avoided by formulating the constraint functions. The stiffness values of planetary gear sets are afflicted with uncertainty and correspondingly the stiffness parameters used in this lumped-parameter model are treated as intervals. Bounded intervals are used as statistical distributions are assumed to be unavailable in such early development phases. The uncertainty analysis is carried out using an efficient optimization-basedminimization–maximizationmethod.
Showing items related by title, author, creator and subject.
High Efficiency, Low Backlash Planetary Speed Reducer Gearbox Optimization by Means of a Multidisciplinary Numerical Approach Concli F (ENGINESOFT, 2014)In this paper a numerical approach was used in order to optimize the design of a low backlash planetary gearbox. The numerical simulations were used to understand how changes in the design influence the torsional stiffness, ...
Low-loss gears precision planetary gearboxes: reduction of the load dependent power losses and efficiency estimation through a hybrid analytical-numerical optimization tool [Hochleistungs- und Präzisions-Planetengetriebe: Effizienzschätzung und Reduzierung der lastabhängigen Leistungsverluste und durch ein hybrides analytisch-numerisches Optimierungswerkzeug] Concli F (2017)In the field of robotics, extremely accurate gearboxes are mandatory in order to ensure the adequate precision required by the automatic processes. For these applications, planetary gearboxes represent one of the most ...
Low-loss gears for precision planetary gearboxes – Influence of the gear design on the meshing and the churning power losses Concli F; Coenen J (2015)In the field of automation, extremely accurate gearboxes are mandatory in order to ensure the adequate precision required by the automatic processes. For these kinds of applications, planetary gearboxes represent one of ...