Abbreviations
- E:
-
modulus of elasticity [N/mm2]
- F f :
-
fractional force [N]
- F n :
-
normal force [N]
- F p :
-
propeller thrust [N]
- k:
-
stiffness [N/mm]
- l:
-
length [mm]
- p:
-
pressure [N/mm2]
- p e :
-
external pressure [N/mm2 ]
- p i :
-
internal pressure [N/mm2]
- r:
-
radius [mm]
- r a :
-
inner radius [mm]
- r b :
-
outer radius [mm]
- u:
-
displacement [mm]
- x,y,z:
-
Cartesian coordinates [mm]
- Δu:
-
difference between displacements [mm]
- Δα:
-
difference between coefficients of thermal expansion [1/K]
- Δ ϑ:
-
difference between temperatures [K]
- α:
-
linear coefficient of thermal expansion [1/K]
- ϵ z :
-
z-component of strain [ ]
- ϑ :
-
temperature [°C]
- ϑ F :
-
stress-freezing temperature [°C]
- ϑ R :
-
room temperature [°C]
- ϑ T :
-
glass-transition temperature [°C]
- ν:
-
Poisson’s ratio [ ]
- σ r :
-
radial stress [N/mm2]
- σ t :
-
tangential stress [N/mm2]
- σ z :
-
z-component of stress [N/mm2]
- σ1,σ2:
-
principal normal stress [N/mm2]
- A,B:
-
body A,B
- M:
-
model
- P:
-
prototype
- S:
-
scale
- cc:
-
crankcase
- ch:
-
cylinder head
- *:
-
required values
References
Hovanesian, J.D. and Kowalski, H.C., “Similarity in Thermoelasticity,” EXPERIMENTAL MECHANICS (Feb. 1967).
Niemann, G., “Maschinenelemente,” Band — (2.Aufl.), Springer-Verlag Berlin, Heidelberg, New York, 359–369 (1975).
Spotts, M.F., Design of Machine Elements, 4th Ed., Prentice-Hall, Inc., Englewood Cliffs, NJ, 457–463 (1971).
Timoshenko, S., Strength of Materials, Part II, 3rd Ed., D. Van Nostrand Company, Inc., Princeton, NJ, 205–214 (1957).
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Raab, W., Weigand, M., Renneisen, A. et al. Modeling technique to simulate thermally-induced stress in an assembly consisting of components made of different materials. Exp Tech 15, 40–46 (1991). https://doi.org/10.1111/j.1747-1567.1991.tb01180.x
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DOI: https://doi.org/10.1111/j.1747-1567.1991.tb01180.x