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7/28/2019 Flywheel OPT
http://slidepdf.com/reader/full/flywheel-opt 1/11
“Optimization of a composite Flywheel”.
Author: Miguel Rodríguez Gutiérrez
MASTER ON MECHANICS OF
MATERIALS AND STRUCTURES.
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INDEX
I. INTRODUCTION.
II. PROBLEM DESCRIPTION.
III. FORMULATION:
Design variables.
Objective functions.
Restrictions.
IV. RESULTS.
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In a car the principal function of a car flywheel is to maintain the rotary inertia in
the car engine, avoiding engine timing troubles and cycle instabilities.
I. INTRODUCTION
Flywheel basis:
In mechanics, a flywheel is an entirely passive, that only adds additional inertia
system so that you can store kinetic energy.
This handout continues coasting when ceases torque which propels it. Thus, the
flywheel opposes sudden acceleration in a rotational movement. It is able to reduce
the angular velocity fluctuations.
That is, the flywheel is used to smooth the flow of power between a power source
and load.
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At present numerous lines of research are open to finding new
applications for the flyers. Examples of such uses are:
Absorbing the energy of braking a vehicle, so that its acceleration
later reuse (KERS).
I. INTRODUCTION
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II. PROBLEM DESCRIPTION.To solve this problem the methodology
employed is the topologic optimization
with the modulus of ANSYS FEM program.
Optimization of the flywheel section to
maximize its efficiency.
Sketch of the flywheel, showing the
geometrical variables:
OPVAR
OPVAR, Name, Type, MIN, MAX , TOLER
Specifies the parameters to be treated
as optimization variables.
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Optimization of the energy stored by the flywheel (Ke) considering a determinedangular velocity (2000 rpm).
=
· ·
Optimization of the flywheel section to maximize its efficiency if the material density is
(Consider a maximum mass of 55 kg).
Analyze stresses to check if the design is safe.
T1000G-12K / MTM49-3
With a fiber volume of60%
II. PROBLEM DESCRIPTION.
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III. FORMULATION:
Design variables.
Ro (External diameter)
W (Wide edge)
B3 (initial angle distance)
Objective functions.
=
· ·
Restrictions
MAXIMUM MASS = 55 KG
MAXIMUM STRESS < MAX. STRENGHT
Rint=Rext-W
Rr=Rint-0.2*W
Hmax=SQRT(RESF**2-Rext**2)
OPVAR
OPVAR, Name, Type, MIN, MAX , TOLER
Specifies the parameters to be treated as optimization variables.
Objective function (variable to be minimized). Only one objective
function is allowed. MIN and MAX are not used.
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IV. RESULTS.
PROPERTIE VALOR DESCRIPCTION
Densitat
(Kg/m3) 1560
ELASTIC PRPERTIES:
E1T (GPa) 142
E1C (GPa) 108
E2T (GPa) 125 YOUNG MODULUS.
E2C (GPa)
υ12
υ13
υ23
94
0.34
0.34
0.40
POISSON COEFFICIENT
G12 (GPa) 4.3G13 (GPa) 4.3 TRANSVERSAL MODULUS
G23 (GPa) 3.6
STRENGHT PROPERTIES:
XT (MPa) 1852 LONGITUDINAL STRENGHT
Xc (MPa) 1331
YT (MPa)
Yc (MPa)
SL (MPa)
962
681
73.6
TRANSVERSAL STRENGHT
SHEAR STRENGHT
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CONCLUSIONS
Composite analysis parameters.
Principal stresses fulfilled.
Apropiate Analysis for isotropic
materials as steel.