Analysis of the tooth-root stress of external spur gears with high effective contact ratio

For spur gears with contact ratio close to 2, the extension of the contact interval resulting from loaded tooth deflections and local contact deformations may result in an effective contact ratio above 2. In these cases, the load is transmitted by at least two tooth-pairs, the maximum load and tooth...

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Detalhes bibliográficos
Autores: Pedrero Moya, José Ignacio, Sánchez Sánchez, Miryam Beatriz, Pleguezuelos González, Miguel, Fuentes Aznar, Alfonso
Formato: artículo
Fecha de publicación:2024
País:España
Recursos:Universidad Nacional de Educación a Distancia
Repositorio:e-spacio. Repositorio Institucional de la UNED
Idioma:inglés
OAI Identifier:oai:e-spacio.uned.es:20.500.14468/25944
Acesso em linha:https://hdl.handle.net/20.500.14468/25944
Access Level:acceso abierto
Palavra-chave:33 Ciencias Tecnológicas::3313 Tecnología e ingeniería mecánicas
External gears
Load sharing
Tooth-root stress
Time-varying meshing stiffness
Engranajes externos
Compartir carga
Estrés en la raíz del diente
Rigidez de malla variable en el tiempo
Descrição
Resumo:For spur gears with contact ratio close to 2, the extension of the contact interval resulting from loaded tooth deflections and local contact deformations may result in an effective contact ratio above 2. In these cases, the load is transmitted by at least two tooth-pairs, the maximum load and tooth-root stress decrease, and therefore the calculation methods of the gear rating Standards ISO and AGMA provide very conservative results. In this work, two models are applied to the calculation of the tooth-root stress of load-induced high contact ratio external gears: (i) an analytic model of load sharing, based on the minimum energy method, and (ii) a finite element model, which validates the results obtained from the previous model. Obtained values of the stress are compared with those provided by ISO and AGMA rating methods, which do not account for the stress reduction due to the higher contact ratio. A new modification coefficient is proposed to correct these conservative values, which allows the AGMA and ISO geometry factors to remain as no load-dependent factors and keep their actual calculation methods and significance.