A continuación se presentan algunos modelos de
fenómenos físicos resueltos con el programa de elementos fini=
tos
ANSYS. La implementación de los problemas son seguidos paso a paso:<=
/p>
Problema
Físico:
Una torre de transmisión eléctrica es un=
ejemplo
de estructura hecha con elementos tipo cercha (solo experimentan fuerzas
axiales). Estas torres en realidad son estructuras en 3 dimensiones, pero
simplicidad de este primer ejercicio, se hará el análisis de =
una
de las secciones de la torre. Sobre este tipo de estructura varias fuerzas,
como su peso propio, peso de los cables y fuerza de viento entre otros. En =
este
caso consideraremos la fuerza que
ejercen los cables sobre la torre.
Generalidades=
:
Unidades: Utilice unidades S.I.
Geometría: Las secciones transversales de cada uno de los
miembros son de 6.25e-3 m²
Material: Asuma que la estructura está hecha de=
acero
con el módulo de la elasticidad E=3D200 GPa.
Condiciones de límite: La torre se restringe en=
las
direcciones X y Y en la esquina izquierda inferior, y en dirección Y en la esquina derecha inferior.<=
span
style=3D'font-family:"Arial Narrow"'>
Cargas: La torre se carga en la parte superior. La car=
ga
está en la dirección horizontal solamente, y su magnitud es 5=
000
N.
Objetivo:
- Determinar la deflexión en cada uni&oacu=
te;n.
- Determinar la tensión en cada miembro.
- Determinar la reacción en la base.
Esquema:
Los elementos verticales son de 3m de longitud.

=
o:p>
Modelar la es=
tructura:
Vaya al menú para uso general de ANSYS =
p>
- Haga
clic en Workplane=
b>>WP Settings
- Aparecerá la siguiente ventana

<=
/o:p>
- Seleccione los botones Cartesian y Grid Only
- Introduzca los valores mostrados en la figura=
li>
<=
/o:p>

- Haga
clic Preprocessor>-Modeling->Create>Keypoints>On Working P=
lane
- Aparecerá la siguiente ventana

Ahora dibujamos los vértices que definen la
geometría de la estructura.
- Seleccione los keypoints en
la rejilla del
workplane. =
span>
- Si usted no puede ver el workplane completo entonces vaya a Utility Menu>PlotCntrls>Pan
Zoom Rotate y=
haga
ZommOut ver el workplane entero.

- Ahora creamos las líneas que conectan
los
keypoints
- Haga
clic en Preprocessor>-Modeling->Create>-Lines->Lines>St=
raight
Line<=
o:p>
- Cree las líneas uniendo los ke=
ypoints
para hacer la siguiente figura

=
Propiedades d=
e los
materiales
- Vaya al ANSYS Main Menu
- Haga clic en processor>Material Props>Material Models
- En la ventana que aparece,elija Structural&g=
t;Linear>Elastic>Isotropic

- Introduzca 1 para Material Property Numb=
er y
haga clic en OK. La siguiente ventana aparecerá

- Introduzca 2e11 para el módulo de
Young y 0.3 para el coeficiente de Poisson. Haga clic en OK.
Propiedades d=
e los
elementos
- Seleccionar el tipo de elemento
- Haga clic en Preprocessor>Element
Type>Add/Edit/Delete...
- En la ventana 'Element Types' que se abre Haga
clic en ADD... La ventana siguiente se abre.

- Haga clic en Structural Link y seleccione 2D Sp=
ar.
Haga clic en OK. Ciere la ventana 'Element Types'
- Ahora necesitamos definir el área transv=
ersal
para este elemento. =
- Vaya a Preprocessor>Real Constants
- En el cuadro de diálogo que aparece, haga
clic en ADD
- En el próximo cuadro de diálogo, =
haga
clic en OK y aparece la siguiente ventana

- Introduzca 6.25e-3 para el área y=
haga
clic en OK
Enmallado:
- Vaya
a Preprocessor>Meshing>Size Cntrls>ManualSize=
>Lines>All
Lines<=
o:p>
- En el menú que aparece, introduzca 1 en el campo 'Number of ele=
ment
divisions' esto convierte cada miembro de la estructura en un elemento=
del
modelo de elementos finitos..

- Haga clic en OK
- Ahora vaya a Preprocessor>-Meshing->Mesh>lines<=
/b>
- Seleccione todas las líneas y haga clic =
en OK
en el cuadro de diálogo
Condiciones d=
e borde
y restricciones:
- Aplicación de las restrcciones
- Vaya
al Main M=
enu. Haga clic en Prep=
rocessor
> Loads > Define Loads > Apply>Structural>Displacement=
>On
Keypoints
- Seleccione el keypoint en
el cual va a aplicar la restricción. Aparecerá la sigui=
ente
ventana

- Seleccione UX y UY para el keypoint de la esqu=
ina izquierda
inferior y UY para el keypoint de la esquina inferior derecha haga cl=
ic
en OK. El valor del desplazamiento se restringe a cero.
- Aplicación de las fuerzas
- Vaya al Main Menu.
- Haga
clic en Preprocessor > Loads > Define L=
oads
> Apply > Structural >Forces/Moment > On Nodes=
- Seleccione el nodo superior.
- Haga clic en el cuadro de diálogo de
selección y aparecerá la siguiente ventana

- Seleccione FX e introduzca 5000 como el valor de
Force/Moment.
- Haga clic en OK
- Aparecerá la siguiente figura

Solució=
;n:
- Vaya
a Main Menu>Solution>-Analysis Type->New Analysis =
- Seleccione Static y Haga clic en OK.
- Vaya a Solution>-Solve->Current LS
Post-Proceso:=
- Vaya al Main Menu de ANSYS.
- Haga clic en General Postproc>List
Results>Nodal Solution. La siguiente ventana paracerá

- Seleccione DOF solution y All U’s. Haga clic en =
OK, la
lista de los desplazamientos nodales aparecerá

- Se pueden enumerar las tensiones para cada elem=
ento
seleccionando Gen Postprcessing > List Results>Element Solution<=
/li>
- Ahora seleccione LineElem Results. La tabla
siguiente será enumerada.

Desplazamient=
os:
- Vaya
General Postproc>Plot Results>-Contour Plot->Element Solution=
. Aparecerá
la siguiente ventana.

- Seleccione la tensión para deseada y la
siguiente figura aparecerá

=
En este ejemplo usted determinará el fluj=
o del
calor a través de la pared modular compuesta mostrada en la figura.<=
/p>
Problema
Físico:
Una pared compuesta se utiliza en lugares fríos=
para
aislar edificios de los alrededores exteriores fríos. Consiste en
colocar un material aislante dentro de una pared. El material aislador
está generalmente en dos capas y se escalona. En este problema model=
aremos
una sección de tal pared y determinaremos el flujo del calor a
través de la pared. Esto da una estimación de la cantidad de
calor que se necesita para mantener la temperatura ambiente.
Descripci&oac=
ute;n
Del Problema:
- El material externo de la pared compuesta es de
acero con una conductividad térmica de 20 W/m K
- El material aislador tiene una conductividad
térmica de 0,1 W/m K.
- Unidades :
Utilice las unidades de S.I.
- Geometría
: Vea la figura.
Condiciones d=
e Frontera:
- La temperatura a la izquierda de la pared es 22=
0K,
y el coeficiente fílmico es 200 W/m2K. En el derecho la tempera=
tura
es 300K, y el coeficiente fílmico es 20 W/m2K.
=
o:p>
Objetivo:
- Determinar el flujo de calor a través de=
la
pared.
- Trazar la distribución de la temperatura=
.
- Generar el diagrama vectorial del flujo de calo=
r.
=
Figura:

Modelo:<=
/o:p>
<=
span
style=3D'mso-list:Ignore'>o&nb=
sp;
Vaya al menú para uso general de ANSY=
S.
- Haga
clic en Workplane=
b>>WP Settings.
- La siguiente ventana aparecerá

=
·<=
span
style=3D'font:7.0pt "Times New Roman"'> =
- Seleccione los botones Cartesian y Grid Only
- Introduzca los valores mostrados en la figura=
li>
<=
/o:p>
· =
Haga
clic en Prepr=
ocessor >Modeling >Create >Area
>Rectangle >By 2 Corners
·
La siguiente ventana aparecerá:

- Ahora generamos los rectángulos a partir=
de
las coordenadas de sus esquinas.
·
El rectángulo externo tiene las
dimensiones 5,25
centímetro X 6,75 centímetros=
st1:metricconverter>,
es decir 42 unidades por 54 unidades en la rejilla.
·
Haga lo mismo con los otros rectángul=
os.
·
Haga
clic en Prepr=
ocessor>Modeling>Operate>Booleans>Overlap>Areas. Primero seleccione =
el
área exterior y luego las áreas interiores.

Propiedades d=
e los
materiales:
- Necesitamos definir las propiedades de los
materiales por separado para el acero, y el material del aislamiento. =
·
Vaya al Main Menu y haga clic en Preprocessor>Material Props>Material Models.
En la ventana aparece, elija Thermal>Conductivity>Isotropic
·
La siguiente ventana aparecerá

·
Introduzca 20 para la conductividad termal. =
Haga
clic en OK.
·
Esto representa las características
materiales para el acero.
·
Haga clic Material>New Model para definir las propi=
edades
para el material 2.
·
Repita los pasos para crear las propiedades =
para
el aislamiento (k=3D0.1 W/m K). =
Propiedades d=
el elemento
- Haga clic en Preprocessor>Element Type>Add/Edit/Delete...=
En la ventana que aparece=
- Haga clic en ADD
- La siguiente ventana aparece

·
Haga clic en Thermal Solid y seleccione Quad
8node 77.
·
Haga clic en OK
Enmallado:
· =
Vaya
a Preprocessor>Meshing>Size Controls>Manual
Size>Lines>All Lines.
·
En la ventana que aparece, introduzca 0.0025=
en
el campo 'Element edge
length'=

- Primero enmallamos el área de acero.
- Vaya
a Preprocessor> Meshing> Mesh Attributes&=
gt;
Default Attributes. Cerciórese que la ventana “material
number” indique 1.<=
/li>

&=
nbsp;
- Ahora
vaya a Preprocessor>Meshing>Mesh>Are=
as>Free.
- Escoja el área de acero y haga clic en O=
K.
- Repita el mismo proceso para las áreas d=
el
aislamiento. Cerciórese que el número material es el n&u=
acute;mero
2.
- La siguiente figura aparecerá:

Condici=
ones de
borde y restricciones:
· =
Vaya
a Preprocessor>Loads>Define
Loads>Apply>Thermal>Convection>On Lines.
·
Escoja la línea izquierda a lo largo =
del
límite externo. Haga clic en OK. La siguiente ventana aparecer&aacut=
e;.

=
- Introduzca 200 para "Film Coefficient" y 220 para "Bulk Temperature&q=
uot;.
Haga clic en OK.
·
Repita para la línea derecha. (VALI =
=3D 20
, VAL2I =3D 300 )
Solució=
;n:
· =
Vaya
a Main Menu>Solution>Analysis Type>New Anal=
ysis =
·
Seleccione Steady State y haga clic en OK.
· =
Vaya
a Solution Solution>Solve>Current LS<=
o:p>
·
Una ventana de “Warning” puede
aparecer. Haga clic en OK e ignórela.
Post-Proceso:=
· =
Haga
clic en General Postprocessing=
>List
Results>Nodal Solution
·
La siguiente ventana aparecerá

·
Seleccione DOF solution y Temperature. Haga clic en OK

- Usted puede también trazar la
distribución de la temperatura para este caso.
· =
Vaya
a General Postprocessing=
>Plot
Results>Contour Plot>Nodal Solution.
·
La siguiente ventana aparecerá

·
Seleccione DOF solution y Temperatura TEMP.<=
/p>
·
La siguiente ventana aparecerá:

·
Para el diagrama vectorial vaya Main Menu> General Postprocessing> Plot Results> Vector Plot>
Predefined.
·
La siguiente ventana aparecerá:

·
Seleccione Flux & Gradient y Thermal flux.
·
Haga clic en OK
- El siguiente diagrama aparecerá

=
b>
Descripci&oac=
ute;n
Del Problema:
- El aire viaja con una v=
elocidad
dada sobre las montañas rocosas en Denver Colorado.
- Consecuentemente, este flujo a=
ltera
la presión alrededor de la ciudad ubicada en la cima de la
montaña. Esta distribución de la presión determina
los patrones del tiempo alrededor de la ciudad. El objetivo de este
problema es mostrar esa distribución.
Figura:
=
b>

=
&nb=
sp; =
&nb=
sp;
Nota: (todo es disminuido por un factor de 10=
00
para escalar el problema)=
&nb=
sp; =
- El cubo del aire sobre las montañas es d=
e 10mX10mX10m.
- Las montañas se colocan como conos con l=
as
siguientes dimensiones y cuyo centro se encuentra en los siguiente pun=
tos:
=
Montaña 1
Punto =3D (2.5,2.5)
rad1 =3D 2,4
rad2 =3D 0
profundidad: -4,346
=
Montaña 2
Punto =3D (5.0,3.0)
rad1 =3D 2,5
rad2 =3D 0
profundidad: -3,7
- El viento que viaja sobre las montañas v=
a a 0,013
m/s. (aproximadamente 30mph a escala real)
=
Modelo:
- Vaya al menú para uso general de ANSYS <=
span
style=3D'font-family:"Arial Narrow"'>
- Haga
clic en Workplane>WP Settings
- Aparecerá la siguiente ventana

·
Seleccione Cartesian y Grid Only
·
Introduzca los valores mostrados en la figura arriba.
=
En este problema modelaremos el contorno de la
montaña, para modelar el viento alrededor de él, restamos el
volumen de las montañas del bloque del aire. Después aplicare=
mos
el flujo del aire sobre las montañas y veremos cómo su es
impedido debido a la forma de las "montañas rocosas."
=
- Hagac clic en Preprocessor>-Modeling-> y cree el volume=
n para
definir el aire alrededor de las montañas.
NOTA :
Vaya al menú Vaya al menú para uso general de ANSYS, seleccio=
ne PlotCntrls>Pan Zoom Rotate y a=
su
vez seleccione Isometric view,=
esto
dará una mejor perspectiva del modelo.
- Genere el volumen del cubo de aire y los conos =
para
luego hacer una operación booleana y llevar a cabo una
substracción de los volúmenes de los conos. De esta mane=
ra
se genera el volumen real del aire, y el controno de las montañ=
as
estará delimitado por el borde inferior del modelo.
=

=
Propiedades d=
e los
elementos:
- Haga clic en Preprocessor>Element Type>Add/Edit/Delete...=
En la ventana que aparece=
- Haga clic en ADD
- La siguiente ventana aparece
=

=
- Haga clic en Flotran CFD
y 3D Flotran 142 .
- Haga clic en OK
- Cierre la ventana
=
o:p>
Propiedades d=
el flujo:
- Vaya
a Preprocessor>Flotran Set Up>Fl=
uid
Properties
- Cerciórese de que los primeros dos campo=
s sean
AIR-SI, y después haga clic en OK. Otra ventana
aparecerá, de clic en OK nuevamente.
=

=
Propiedades de =
los
materiales=
=
- Vaya al Main Menu de ANSYS
- Tecleo Preprocessor>Material
Props>Material Models. La ventana siguiente aparecerá

·
Seleccione CFD>Density . La ventana
siguiente aparece.

·
Introduzca 1.23
para la densidad del aire. Haga clic en OK.
·
Ahora seleccione CFD>Viscosity. La
ventana siguiente aparece:

- Introduzca 1.79e-5
para la viscosidad del aire. Haga clic en OK
Enmallado:
- Vaya
a Preprocessor>Meshing>Size Cntrls>ManualSize>Lines>=
All
lines
- Introduzca 15 en el campo 'No. of element divisions'=
li>

&=
nbsp;
· Ahora vaya a Preprocessor>Meshing&g=
t;Mesh>Areas>Free.
Seleccione Pick All. Ap=
arecerá la siguiente figura:

=
b>
Condiciones d=
e borde
y restricciones
=
- Vaya
a Preprocessor>Loads>Define Loads>Apply>Fluid
CFD>Velocity>On Areas.
- Escoja la cara del cubo que el plano XY forma c=
on
el origen haga clic en OK.
- La siguiente ventana aparecerá.

- Introduzca 0,013 en el campo VZ. El 0,013 corresponde a la veloc=
idad
de 13 metros<=
/st1:metricconverter>
por segundo del aire que=
fluye
sobre las montañas reducido en 1000.
- Fije =
la
velocidad igual a CER=
O a
lo largo de todas las áreas que definen las montañas y el
suelo. (VX=3DVY=3D0 para todos los lados)
- Vaya
a Main Menu>Preprocessor>Loads>Define Loads>Apply>Fl=
uid
CFD>Pressure DOF>On Areas.. Escoja las áreas s=
in
las condiciones de límite previamente definidas ( Por ejemplo: =
la
tapa, los lados, y la cara enfrente de la cara con la velocidad aplica=
da) Haga
clic en OK.
- Introduzca 0 como el valor de la
presión. (esto fija la presión como presión atmos=
férica
permitiendo que el aire pase sobre la montaña)
=
b>
Solución
&=
nbsp;<=
o:p>
- Vaya
a Main Menu>Solution>Flotran Set Up>Execution Ctrl
- La ventana siguiente aparece. Cambie el valor d=
el primer
campo a 10.
- Haga clic en OK.
=
p>

·
Vaya a Solution>Run FLOTRAN .
Post-Proceso:=
- Vaya
a General Postproc>Read Results>Last Set
- Luego vaya a General Postproc>Plot
Results>Contour Plot>Nodal Solution.
- La siguiente ventana aparece:

·
Seleccione DOF Solution y Velocity y haga clic e=
n OK
·
La siguiente figura aparece

Nota: Es
necesario hacer un plano de corte para poder ver el contorno de presi&oacut=
e;n
y los vectores de velocidad sobre las montañas.
- Primero, vaya ANSYS Main Menu>WorkPlane <=
/b>y
seleccione Display Working Plane. Ahora que se selecciona el pl=
ano
de trabajo, vaya a ANSYS =
Main
Menu>WorkPlane >Offset WP by Increments y ajuste el p=
lano
de trabajo tales que interseca una sección de una de las
montañas.

Nota: ust=
ed puede
cerciorarse seleccionando ANSYS Main Menu>PlotCntrls>Pan Zoom Rota=
te y cambie los ángulos de
visión.
- Seleccione
ANSYS Main Menu>PlotCntrls>Style…>Hidden Line Option=
s una ventana aparecerá:

=
- En
esta ventana cambie R=
20;Type
of Plot” a Q-Slice Z-buffer" y “Cutting Plane is̶=
1; a
Working Plane.
- La siguiente figura aparece

·
Después, vaya a Main Menu>Gener=
al
Postproc>Plot Results>Vector Plot>Predefined.
·
La siguiente ventana aparecerá:

- Haga clic en OK.
- La siguiente ventana aparecerá

=
Observe la distribución de la velocidad como af=
ecta
la presión. Debido al flujo de aire, una zona de la presión b=
aja
se crea en el lado opuesto de la montaña. Si ocurriera esta
situación realmente, esta zona de la presión baja
influenciaría el tiempo y causaría un cierto efecto sobre la
atmósfera alrededor de la ciudad de Denver.
------=_NextPart_01C61CE0.1C72DEA0
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