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Rotordynamics (or rotor dynamics) is a specialized branch of applied mechanics concerned with the behavior and diagnosis of rotating structures. It is commonly used to analyze the behavior of structures ranging from jet engines and steam turbines to auto engines and computer disk storage .
Analytical Campbell Diagram for a Simple Rotor. A Campbell diagram plot represents a system's response spectrum as a function of its oscillation regime. It is named for Wilfred Campbell, who introduced the concept. [1] [2] It is also called an interference diagram. [3]
Degenerate Double Rotor map: De Jong fractal map [14] discrete: real: 2: 4: Delayed-Logistic system [15] discrete: real: 2: 1: Discretized circular Van der Pol system [16] discrete: real: 2: 1: Euler method approximation to 'circular' Van der Pol-like ODE. Discretized Van der Pol system [17] discrete: real: 2: 2: Euler method approximation to ...
Structural dynamics is a type of structural analysis which covers the behavior of a structure subjected to dynamic (actions having high acceleration) loading. Dynamic loads include people, wind, waves, traffic, earthquakes , and blasts.
Methods of predicting flutter in linear structures include the p-method, the k-method and the p-k method. [ 7 ] For nonlinear systems , flutter is usually interpreted as a limit cycle oscillation (LCO), and methods from the study of dynamical systems can be used to determine the speed at which flutter will occur.
The existence of the thermodynamic limit for the free energy and spin correlations were proved by Ginibre, extending to this case the Griffiths inequality. [3]Using the Griffiths inequality in the formulation of Ginibre, Aizenman and Simon [4] proved that the two point spin correlation of the ferromagnetics XY model in dimension D, coupling J > 0 and inverse temperature β is dominated by (i.e ...
Dunkerley's method [1] [2] is used in mechanical engineering to determine the critical speed of a shaft-rotor system. Other methods include the Rayleigh–Ritz method . Whirling of a shaft
In classical mechanics, Euler's rotation equations are a vectorial quasilinear first-order ordinary differential equation describing the rotation of a rigid body, using a rotating reference frame with angular velocity ω whose axes are fixed to the body.