A non-linear mathematical model for dynamic analysis of spur gears including shaft and bearing dynamics

1991-3
A six-degree-of-freedom non-linear semi-definite model with time varying mesh stiffness has been developed for the dynamic analysis of spur gears. The model includes a spur gear pair, two shafts, two inertias representing load and prime mover, and bearings. As the shaft and bearing dynamics have also been considered in the model, the effect of lateral-torsional vibration coupling on the dynamics of gears can be studied. In the non-linear model developed several factors such as time varying mesh stiffness and damping, separation of teeth, backlash, single- and double-sided impacts, various gear errors and profile modifications have been considered. The dynamic response to internal excitation has been calculated by using the “static transmission error method” developed. The software prepared (DYTEM) employs the digital simulation technique for the solution, and is capable of calculating dynamic tooth and mesh forces, dynamic factors for pinion and gear, dynamic transmission error, dynamic bearing forces and torsions of shafts. Numerical examples are given in order to demonstrate the effect of shaft and bearing dynamics on gear dynamics.
Journal of Sound and Vibration

Suggestions

AN EMPIRICAL TORQUE NOISE AND SPIN-UP MODEL FOR ACCRETION-POWERED X-RAY PULSARS
Baykal, Altan (1993-01-01)
By using the first order autoregressive time series model, rotation histories of accretion-powered X-ray pulsars are modeled yielding a torque noise strength S(in) and the average secular spin-up term [OMEGA]. We find that Her X-1, Cen X-3, A0535 + 26, and Vela X-1 can be modeled with white torque-noise leading to random walks in pulse frequency; for the remaining sources the random walk model is also acceptable. Using this model we calculate the noise strengths in the frequency derivative and estimate the ...
A microslip friction model with normal load variation induced by normal motion
Ciğeroğlu, Ender; Menq, Chia-Hsiang (2007-11-01)
A two-dimensional microslip friction model with normal load variation induced by normal motion is presented in this paper. The model is a distributed parameter model, which characterizes the stick-slip-separation of the contact interface and determines the resulting friction force, including its time variance and spatial distribution, between two elastic structures. When the relative motion is simple harmonic motion, the stick-slip-separation transition angles associated with any point in the contact area c...
Non-linear mathematical modeling of gear rotor bearing systems including bearing clearance
Gürkan, Niyazi Ersan; Özgüven, Hasan Nevzat; Department of Mechanical Engineering (2005)
In this study, a non-linear mathematical model of gear-rotor systems which consists of elastic shafts on elastic bearings with clearance and coupled by a non-linear gear mesh interface is developed. The mathematical model and the software (NLGRD 2.0) developed in a previous study is extended to include the non-linear effects due to bearing clearances by using non-linear bearing models. The model developed combines the versatility of using finite element method and the rigorous treatment of non-linear effect...
A new modal superposition method for nonlinear vibration analysis of structures using hybrid mode shapes
Ferhatoglu, Erhan; Ciğeroğlu, Ender; Özgüven, Hasan Nevzat (Elsevier BV, 2018-07-01)
In this paper, a new modal superposition method based on a hybrid mode shape concept is developed for the determination of steady state vibration response of nonlinear structures. The method is developed specifically for systems having nonlinearities where the stiffness of the system may take different limiting values. Stiffness variation of these nonlinear systems enables one to define different linear systems corresponding to each value of the limiting equivalent stiffness. Moreover, the response of the n...
A study on the stress-strain behavior of railroad ballast materials by use of parallel gradation technique
Kaya, Mustafa; Özkan, M. Yener; Department of Civil Engineering (2004)
The shear strength, elastic moduli and plastic strain characteristics of scaled-down ballast materials are investigated by use of the parallel gradation technique. Uniformly graded ballast materials chosen for the investigation are limestone, basalt and steel-slag. Steel-slag is a byproduct material of Eregli Iron and Steel Works, which is suitable to meet the durability test requirements as well as the electrical resistivity and the waste contaminants regulatory level. Conventional triaxial testing at a st...
Citation Formats
H. N. Özgüven, “A non-linear mathematical model for dynamic analysis of spur gears including shaft and bearing dynamics,” Journal of Sound and Vibration, pp. 239–260, 1991, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/28111.