Analytical Methods in Rotor Dynamics: Second Edition by Andrew D. Dimarogonas

By Andrew D. Dimarogonas

The layout and development of rotating equipment working at supercritical speeds used to be, within the Nineteen Twenties, an occasion of progressive value for the then new department of dynamics referred to as rotor dynamics. within the Nineteen Sixties, one other revolution happened: In under a decade, imposed through operational and fiscal wishes, a rise within the energy of turbomachinery via one order of value came about. Dynamic research of advanced rotor types turned a need, whereas the significance of approximate tools for dynamic research was once under pressure. ultimately, 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 publication is predicated on these kinds of advancements. No themes regarding the well known classical difficulties are integrated, relatively the e-book bargains solely with smooth high-power turbomachinery.

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3). The simplest example of a system with periodically varying stiffness is a straight rotating shaft, whose cross-section has different principle moments of inertia. A classical example of systems with periodically varying stiffness was the drive system of an electric locomotive incorporating a coupling link for force transmission, applied during the first years of electric locomotion. 3 Variable Mass or Moment of Inertia Such examples have already been mentioned. The case of a reciprocating engine is a very common one, by which the inertia of the piston mechanism varies periodically [17–19].

Coupling of bending and torsional vibrations of a cracked timoshenko shaft. Ingenieur Archive (Replaced by Archive of Applied Mechanics), 57(4), 257–66, (1987) 44. Papadopoulos, C. , Dimarogonas, A. : Stability of cracked rotors in the coupled vibration mode. J. Vib. Acoust. Stress Rel. Des. 110(3), 356–59, (1988) 45. : A 3D cracked beam model with unilateral contact. Application to rotors. Eur. J. Mech. A/Solids 21, 793–810 (2002) 46. Papadopoulos, C. : The strain energy release approach for modelling cracks in rotors: A state of the art review, published in the special issue of mechanical systems and signal processing for crack effects in rotordynamics.

Papadopoulos, C. : The strain energy release approach for modelling cracks in rotors: A state of the art review, published in the special issue of mechanical systems and signal processing for crack effects in rotordynamics. 22(4), 763–89, (2008) 47. : Theory of Mechanical Vibration. Wiley, New York (1963) 48. : Elements of Vibration Analysis. McGraw-Hill, Tokyo (1975) 49. : The Mechanics of Vibration. Cambridge University Press, Cambridge (1979) 50. Bishop, R, E. , Gladwell, G. M. : The Matrix Analysis of Vibration, Cambridge University Press, Cambridge, (1979) 51.

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