With increased demand for high speed machinery, the mathematical modelling of the dynamic analysis of gears has gained importance. Numerous mathematical models have been developed for different purposes in the past three decades. In this paper the mathematical models used in gear dynamics are discussed and a general classification of these models is made. First, the basic characteristics of each class of dynamic models along with the objectives and different parameters considered in modeling are discussed. Then, the early history of the research made on gear dynamics is summarized and a comprehensive survey of the studies involved in mathematical modelling of gears for dynamic analysis is made. Generally, a chronological order is followed in each class studied. The goal is not just to refer to several papers published in this field, but also to give brief information about the models and, sometimes, about the approximations and assumptions made. A considerable number of publications were reviewed and 188 of them are included in the survey.


Shape optimization of wheeled excavator lower chassis
Özbayramoğlu, Erkal; Söylemez, Eres; Department of Mechanical Engineering (2008)
The aim of this study is to perform the shape optimization of the lower chassis of the wheeled excavator. A computer program is designed to generate parametric Finite Element Analysis (FEA) of the structure by using the commercial program, MSC. Marc-Mentat. The model parameters are generated in the Microsoft Excel platform and the analysis data is collected by the Python based computer codes. The previously developed software Smart Designer [5], which performs the shape optimization of an excavator boom by ...
Mechanical characterization of additively manufactured Ti-6Al-4V aircraft structural components produced by electron beam melting
Yılmaz, Fatih; Şahin, Melin; Gürses, Ercan; Department of Aerospace Engineering (2022-8-25)
Weight reduction of structural parts is one of the most important efforts of design and analysis studies to improve fuel efficiency and flight performance of aerospace vehicles through topology optimization creating complex geometric designs that are lighter but cannot be produced via conventional manufacturing methods. Instead, the manufacturing of the resulting designs is possible with additive manufacturing methods where the final product is obtained by adding layer upon layer to obtain close to the near...
Analytical modeling of asymmetric multi-segment rotor - bearing systems with Timoshenko beam model including gyroscopic moments
Özşahin, Orkun; Özgüven, Hasan Nevzat (2014-11-01)
In this study, analytical modeling and an analysis approach for asymmetric multi-segment rotor bearing systems are presented. Timoshenko beam model which includes the effect of gyroscopic moments is employed for modeling rotor segments. Instead of applying FEM, sub-segment Frequency Response Functions (FRFs) are obtained analytically, and sub-segment FRFs obtained are coupled by using receptance coupling method. Bearing properties are included into system dynamics by employing structural modification techni...
Simulation of Dynamic Operation in Salient Pole Synchronous Machines
Dordea, Toma; Munteanu, Radu; Campeanu, Aurel (2011-09-10)
The design of today's high performance synchronous motors must take into account not only the steady state but also practically inevitable dynamic regimes. In such conditions an accurate predetermination of the parameters and constructive solution by modeling and simulation of the given dynamic operation, becomes a mandatory step. In this aim, in the present paper a novel mathematical model of the high power salient pole synchronous machine (SPSM) is elaborated. We proposed to consider especially the effect...
Performance Calculation of SR Motors for Optimum Design and a Washing Machine Application
Ertan, Hulusi Bülent (2008-09-09)
This paper aims to develop an approach for performance calculation of an SR motor, which is suitable for use within mathematical design optimization. For this reason the requirement is to develop procedures, which are both accurate and fast. The procedures adopted here rely on flux-linkage-current-position curves of the motor. A series of tests are carried out on a test motor. The results are compared with estimations from the developed algorithms. It is shown that the current waveform, torque-speed curve, ...
Citation Formats
H. N. Özgüven, “MATHEMATICAL-MODELS USED IN GEAR DYNAMICS - A REVIEW,” JOURNAL OF SOUND AND VIBRATION, pp. 383–411, 1988, Accessed: 00, 2020. [Online]. Available: