Geometrical and mechanical characteristics of deformed balance spring obtained by simulation study
Само за регистроване кориснике
2016
Аутори
Popkonstantinović, Branislav
Obradović, Ratko

Obradović, Marija

Jeli, Zorana
Stojicević, Miša

Чланак у часопису (Објављена верзија)

Метаподаци
Приказ свих података о документуАпстракт
This paper analyzes the geometrical and mechanical characteristics of balance springs, which have the most important influence on the oscillation rate of the balance wheel and, consequently, the most decisive effects on the timekeeper's accuracy. These characteristics are obtained by a set of SolidWorks simulations of static structural studies based on the finite element model, which are performed and accomplished in a specific and original way. Our study demonstrates that the position of the balance spring center of mass and its momentum of inertia are not constant but depend on the angular displacement of the spring collet end. It also shows that the torque spring rate (the spring stiffness) varies as a function of angular displacement during the balanced spring twist. All results are presented numerically and graphically by a set of diagrams and can contribute to the better understanding of the balance spring geometrical and mechanical features and, therefore, be applied for improvi...ng a timepiece's accuracy. Moreover, the method of simulation study disclosed and explained in this paper provides general suggestions and guidance for similar studies. The accuracy of the presented results, as well as the validity of the complete simulation-based method, is proven by the experimentally determined relationship between balance spring restoring torque, stiffness, and spring angular displacement.
Кључне речи:
Balance spring / center of mass / moment of inertia / simulation / stiffness / timepieceИзвор:
Simulation-Transactions of the Society for Modeling and Simulation International, 2016, 92, 11, 981-997Издавач:
- SAGE Publications Ltd
DOI: 10.1177/0037549716673453
ISSN: 0037-5497
WoS: 000387016700002
Scopus: 2-s2.0-84994130647
Колекције
Институција/група
GraFarTY - JOUR AU - Popkonstantinović, Branislav AU - Obradović, Ratko AU - Obradović, Marija AU - Jeli, Zorana AU - Stojicević, Miša PY - 2016 UR - https://grafar.grf.bg.ac.rs/handle/123456789/801 AB - This paper analyzes the geometrical and mechanical characteristics of balance springs, which have the most important influence on the oscillation rate of the balance wheel and, consequently, the most decisive effects on the timekeeper's accuracy. These characteristics are obtained by a set of SolidWorks simulations of static structural studies based on the finite element model, which are performed and accomplished in a specific and original way. Our study demonstrates that the position of the balance spring center of mass and its momentum of inertia are not constant but depend on the angular displacement of the spring collet end. It also shows that the torque spring rate (the spring stiffness) varies as a function of angular displacement during the balanced spring twist. All results are presented numerically and graphically by a set of diagrams and can contribute to the better understanding of the balance spring geometrical and mechanical features and, therefore, be applied for improving a timepiece's accuracy. Moreover, the method of simulation study disclosed and explained in this paper provides general suggestions and guidance for similar studies. The accuracy of the presented results, as well as the validity of the complete simulation-based method, is proven by the experimentally determined relationship between balance spring restoring torque, stiffness, and spring angular displacement. PB - SAGE Publications Ltd T2 - Simulation-Transactions of the Society for Modeling and Simulation International T1 - Geometrical and mechanical characteristics of deformed balance spring obtained by simulation study EP - 997 IS - 11 SP - 981 VL - 92 DO - 10.1177/0037549716673453 ER -
@article{ author = "Popkonstantinović, Branislav and Obradović, Ratko and Obradović, Marija and Jeli, Zorana and Stojicević, Miša", year = "2016", abstract = "This paper analyzes the geometrical and mechanical characteristics of balance springs, which have the most important influence on the oscillation rate of the balance wheel and, consequently, the most decisive effects on the timekeeper's accuracy. These characteristics are obtained by a set of SolidWorks simulations of static structural studies based on the finite element model, which are performed and accomplished in a specific and original way. Our study demonstrates that the position of the balance spring center of mass and its momentum of inertia are not constant but depend on the angular displacement of the spring collet end. It also shows that the torque spring rate (the spring stiffness) varies as a function of angular displacement during the balanced spring twist. All results are presented numerically and graphically by a set of diagrams and can contribute to the better understanding of the balance spring geometrical and mechanical features and, therefore, be applied for improving a timepiece's accuracy. Moreover, the method of simulation study disclosed and explained in this paper provides general suggestions and guidance for similar studies. The accuracy of the presented results, as well as the validity of the complete simulation-based method, is proven by the experimentally determined relationship between balance spring restoring torque, stiffness, and spring angular displacement.", publisher = "SAGE Publications Ltd", journal = "Simulation-Transactions of the Society for Modeling and Simulation International", title = "Geometrical and mechanical characteristics of deformed balance spring obtained by simulation study", pages = "997-981", number = "11", volume = "92", doi = "10.1177/0037549716673453" }
Popkonstantinović, B., Obradović, R., Obradović, M., Jeli, Z.,& Stojicević, M.. (2016). Geometrical and mechanical characteristics of deformed balance spring obtained by simulation study. in Simulation-Transactions of the Society for Modeling and Simulation International SAGE Publications Ltd., 92(11), 981-997. https://doi.org/10.1177/0037549716673453
Popkonstantinović B, Obradović R, Obradović M, Jeli Z, Stojicević M. Geometrical and mechanical characteristics of deformed balance spring obtained by simulation study. in Simulation-Transactions of the Society for Modeling and Simulation International. 2016;92(11):981-997. doi:10.1177/0037549716673453 .
Popkonstantinović, Branislav, Obradović, Ratko, Obradović, Marija, Jeli, Zorana, Stojicević, Miša, "Geometrical and mechanical characteristics of deformed balance spring obtained by simulation study" in Simulation-Transactions of the Society for Modeling and Simulation International, 92, no. 11 (2016):981-997, https://doi.org/10.1177/0037549716673453 . .