Dynamic stability of rotating shafts

A general theory is developed in this paper for studying the dynamic stability of high-speed nonuniform rotating shafts made of a Boltzmann viscoelastic solid. The equation of motion of the shaft is deduced. The stability criteria are derived by using this equation. The unstable regions for a nonhomogeneous viscoelastic shaft are worked out numerically. Analytical formulas are also given in this paper for determining the planar deflection of the shaft and its inclined angle due to a planar static load. The conclusions for special cases given in the literature known to the authors are all covered by the results in this paper.

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Dynamic Stability of Rotating Shafts in Viscous Fluids

Journal of Applied Mechanics ◽

10.1115/1.3629600 ◽

1964 ◽

Vol 31 (2) ◽

pp. 291-299 ◽

Cited By ~ 4

Author(s):

W. H. Walston ◽

W. F. Ames ◽

L. G. Clark

Keyword(s):

Regression Analysis ◽

Viscous Fluid ◽

Dynamic Stability ◽

Critical Speed ◽

Correlation Equation ◽

Viscous Fluids ◽

Statistical Regression ◽

Virtual Mass ◽

Rotating Shafts

Stability characteristics of an overhanging shaft immersed in a viscous fluid are investigated experimentally. The predominance of two effects, damping and virtual mass, are separated and explored as they affect amplitude and critical speed. A correlation equation for amplitude as a function of viscosity, velocity, and mass is developed with the aid of statistical regression analysis. The techniques of regression analysis are summarized in the Appendix.

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Molecular insights on the dynamic stability of peptide nucleic acid functionalized carbon and boron nitride nanotubes

Physical Chemistry Chemical Physics ◽

10.1039/d0cp05759b ◽

2021 ◽

Vol 23 (1) ◽

pp. 219-228

Author(s):

Nabanita Saikia ◽

Mohamed Taha ◽

Ravindra Pandey

Keyword(s):

Nucleic Acid ◽

Boron Nitride ◽

Nucleic Acids ◽

Dynamic Stability ◽

Peptide Nucleic Acid ◽

Rational Design ◽

Peptide Nucleic Acids ◽

Boron Nitride Nanotubes ◽

Molecular Hybrids ◽

Single Wall Nanotubes

The rational design of self-assembled nanobio-molecular hybrids of peptide nucleic acids with single-wall nanotubes rely on understanding how biomolecules recognize and mediate intermolecular interactions with the nanomaterial's surface.

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When Rows Look Like Columns: Dynamic Stability of Grouping by Proximity

PsycEXTRA Dataset ◽

10.1037/e501882009-432 ◽

2000 ◽

Author(s):

Helena Kadlec ◽

Iris Van Rooij ◽

Valerie A. Gonzales

Keyword(s):

Dynamic Stability

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Sensitivity and reliability of local dynamic stability: Effects of age and altered sensory conditions

PsycEXTRA Dataset ◽

10.1037/e577952012-008 ◽

2007 ◽

Author(s):

Sunwook Kim ◽

Maury A. Nussbaum

Keyword(s):

Dynamic Stability ◽

Local Dynamic ◽

Local Dynamic Stability

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Technological pipelines dynamic stability of buster compressor stations on the basis of the results of advanced vibration studies and calculations of acoustic oscillations

Equipment and Technologies for Oil and Gas Complex ◽

10.33285/1999-6934-2020-2(116)-104-109 ◽

2020 ◽

pp. 104-109

Author(s):

L.I. Sokolinsky ◽

◽

A.S. Lopatin ◽

V.B. Paidak ◽

◽

...

Keyword(s):

Dynamic Stability ◽

Acoustic Oscillations

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Control of Steam-Turbine Regulators at Transition to an Island State

Scientific Journal of Riga Technical University Power and Electrical Engineering ◽

10.2478/v10144-009-0016-0 ◽

2009 ◽

Vol 25 (25) ◽

pp. 73-76

Author(s):

Georgi Georgiev

Keyword(s):

Steam Turbine ◽

Dynamic Stability ◽

Easy Problem ◽

Island State ◽

On Line ◽

State Regime ◽

Turbine Speed ◽

The Given ◽

Operating Algorithm

Control of Steam-Turbine Regulators at Transition to an Island StateThe simple operating algorithm is presented for steam turbine regulators of type Simadin (Siemens) at emergency switching-off of the generator from system together with some, unknown in advance, load. The given situation is known as "a transition to an island state (regime)". Keeping of turbine speed and preservation of its rating value at a generator blackout when its own needs will be load only, is an easy problem. When the generator remains in its island it is necessary to solve "on-line" two additional problems: to reveal a situation "island" and to estimate the island load for translating a regulator on the new task and providing dynamic stability of transition. The algorithm was tried and entered successfully into practice on Varna TPP, CEZ GROUP (Prague), in 2008.

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