@nu.edu.kz
School of Engineering and Digital Sciences
Nazarbayev University
Mechanical Engineering, Engineering, Information Systems, Computer Engineering
Scopus Publications
Maksat Temirkhan, Andas Amrin, Christos Spitas, Bakytzhan Sariyev, and Chingis Kharmyssov
Taiwan Association of Engineering and Technology Innovation
Mathematical modeling of gear engagement is crucial during design to ensure optimal performance in manufacturing. This study reproduces the conventional tooth contact analysis (TCA) model, highlighting convergence issues in parallel-axis gears and limitations in local synthesis methods. The research critically analyzes the TCA method, which solves five nonlinear equations to assess performance and accuracy. Simulations replicate the conditions of previous studies to ensure valid comparisons. Initial guess values are randomly generated within a specific range to guide the iterative process toward convergence, with this range progressively narrowed to improve computational efficiency and accuracy. Results indicate that the TCA approach is highly sensitive to initial guess values, particularly the starting angular position. Convergence issues arise from the complexity of nonlinear equations and multiple roots. This can lead to divergence or reverting to the initial guess when values deviate significantly from the true solution.
Maksat Temirkhan, Andas Amrin, Vasilios Spitas, and Christos Spitas
SAGE Publications
In this work the quasi-static model of the three-dimensional geometrical non-conjugate contact problem for two [Formula: see text] surfaces is studied. The set of contact equations is formulated by using a new parameterisation that enables to reduce the conventional system of five nonlinear equations with five unknown position and contact parameters to just two nonlinear equations with two changeable parameters. The novel model is computationally efficient and demonstrates increased accuracy and stability of the numerical solution, compared to the conventional model described by Litvin, which suffers from convergence problems and requires a high computational effort. The new model is implemented to spur gear with crowned tooth surfaces to parametrically estimate the susceptibility to diverse misalignments of the contact pressure, transmission error and path of contact.
Andas Amrin, Maksat Temirkhan, Hamza Bin Tariq, and Amin Amani
Inderscience Publishers
Hamza Tariq, Zhaksylyk Galym, Andas Amrin, and Christos Spitas
Informa UK Limited
Dongming Wei, Almir Aniyarov, Dichuan Zhang, Christos Spitas, Daulet Nurakhmetov, and Andas Amrin
Elsevier BV
N. Alzhanov, H. Tariq, A. Amrin, D. Zhang, and C. Spitas
Elsevier BV
Andas Amrin, Vasilios Zarikas, and Christos Spitas
World Scientific Pub Co Pte Ltd
In this work, a methodology that uses the dynamic Bayesian networks (DBNs) in combination with an idea algebra is developed for assessing the dynamic reliability of engineering systems. A network representation of the system topology is first introduced in the form of “idea” objects representing components and their functional interfaces, thus integrating the functional and material descriptions of the system. Various time-dependent functionalities can thus be mapped to segments or loops of the resulting network, which are then translated automatically into the form of a DBN, thereby avoiding the need to manually generate the dynamic fault tree (DFT) logic that would normally serve as a starting point. The methodology is demonstrated in a case study, where reliability analysis of an automobile system is performed. The idea algebra is automatically deployed in Mathematica and evaluated in the GeNIe platform. Weibull distribution was used for the generation of the dynamic values for the reliability analysis of the system within a certain period.
Hamza Bin Tariq, Abilkhairkhan Aldabergen, Nursultan Alzhanov, Andas Amrin, and Christos Spitas
Inderscience Publishers
Christos Spitas, Andas Amrin, Amin Amani, Georgios Vasileiou, and Vasileios Spitas
Inderscience Publishers
Andas Amrin, Vasileios Zarikas, and Christos Spitas
Elsevier BV