By Andrew D. Dimarogonas
The layout and building of rotating equipment working at supercritical speeds was once, within the Twenties, an occasion of innovative significance for the then new department of dynamics often called rotor dynamics. within the Nineteen Sixties, one other revolution happened: In lower than a decade, imposed by means of operational and fiscal wishes, a rise within the energy of turbomachinery via one order of significance came about. Dynamic research of complicated rotor types turned a need, whereas the significance of approximate equipment for dynamic research was once under pressure. eventually, the emergence of fracture mechanics, as a brand new department of utilized mechanics, supplied analytical instruments to enquire crack impact at the dynamic habit of rotors.
The scope of this e-book is predicated on some of these advancements. No themes regarding the well known classical difficulties are incorporated, relatively the publication offers completely with glossy high-power turbomachinery.
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Additional resources for Analytical Methods in Rotor Dynamics: Second Edition
Any change in the design parameters means another equation. Thus, if we have m design parameters and k choices for each of them, we must consider a total of km parameter constellations, each constellation characterized by one differential equation (or one system of such equations). Now if n solutions for each constellation are needed, then the computer must calculate the total of nkm solutions. If m = 3, k = 4 and n = 50 (none of these numbers is excessively high) then we must compute and look into 3,200 solutions.
2 Variable Stiffness EJ The flexural stiffness EJ may vary periodically if either elastic modulus E of the structure material or the second area moment J of the respective cross-sections or both vary accordingly. Rotor-to-stator rub often occurs in rotating machinery. Methods for detecting the rub-impact effect were developed based on the variable stiffness issue for the rotor system [11, 12]. Therefore, one can distinguish the following particular cases: Variable elastic modulus E: Many materials, especially polymers and their composites, exhibit different elastic modulus in tension Es and in compression Ec [12–15].
Zhang, Y. , Liu, Y. : Dynamic behaviours of the rotor non-linear system with fixed-tilting-pad journal bearings support. In: Proceedings of the Institution of Mechanical Engineers, Part J: J. Eng. Tribol. 224(10), 1037–1047, (2010) 34. : Investigation of rotor blade structural dynamics and modeling based on measured airloads. J. Aircr. 45(5), 1631–1642 (2007) 35. : Flight dynamics of an articulated rotor helicopter with an external slung load. J. Am. Helicopter Soc. 46(1), 3–13 (2001) 36. : Dynamic properties of plastically pretorsion mild steel.