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Some considerations on the constant stress disc profile

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Sommario

Dopo aver descritto in sintesi le principali caratteristiche ed applicazioni dei dischi di uniforme resistenza per la realizzazione di dischi di turbina e di volani, vengono discussi in dettaglio i problemi relativi al collegamento tra dischi ed albero ed all'ottenimento di stati di tensione costanti in dischi forati.

Vengono presentate alcune soluzioni a quest'ultimo problema, sottolineando però il low scarso interesse pratico a causa della scarsa applicabilità dell'ipotesi di stato di tensione piano su cui esse sono basate.

Per superare tale difficoltà viene proposto un nuovo approccio al problema, che permette di offenere profili che pur non dando luogo ad uno stato di tensione rigorosamente costante, hanno caratteristiche adatte alla realizzazione sia di dischi di turbina che di volani.

A conclusione del lavoro vengono riportate alcune considerazioni su profili adatti a dischi soggetti a gradienti termici e sull'ottenimento di opportuni stati dl coazione mediante rotazione in sovravelocità.

Summary

The main characteristics and applications of constant stress discs in turbine and flywheel technologies are summarized. The problem of the disc-shaft connection and that of achieving a levelled stress distribution in pierced discs in thoroughly discussed.

Many solutions to the latter problem are presented, noting that their practical interest is limited by the plane stress state assumption on which they are based.

A new approach to the optimization of the disc is then proposed. It allows to obtain disc profiles which, although not leading to a completely levelled stress distribution, show very good characteristics both for the construction of turbine discs and flywheels.

Some considerations on thermal stressing and on prestressing due to overspeeding are also included.

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Abbreviations

a :

constant defining the profile

a, b, c, d :

parameters defined in the text

e :

energy

h :

axial thickness

m :

mass

n :

number of blades, number of terms of a series

r :

radius

B :

constant defining the profile of constant stress discs

E :

Young's modulus

K :

shape factor

T :

temperature

α :

thermal expansion coefficient, thickness ratio

β :

ratio between inner and outer radius (β=r i /r o )

v :

Poisson's ratio

ξ:

velocity factor

ρ :

density

σ :

stress

χ :

non-dimensional radius (χ=r/r o )

ω:

angular velocity

b :

blades, ballast, bursting speed

c :

circumferential, center

e :

equivalent

h :

hub

i :

inner radius

m :

maximum operating speed

o :

outer radius

p :

speed at which plasticization starts

r :

radial, rim

y :

yield

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Authors and Affiliations

  1. Dipartimento di Meccanica, Politecnico di Torino, Italy

    Giancarlo Genta

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  1. Giancarlo Genta
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Genta, G. Some considerations on the constant stress disc profile. Meccanica 24, 235–248 (1989). https://doi.org/10.1007/BF01556455

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  • DOI: https://doi.org/10.1007/BF01556455

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