File:Incidence.png

2011-04-03T15:59:07Z

Ujjavalverma10: Incidence Graph generated by ASCEND for the model of a frustum of cone.

Incidence Graph generated by ASCEND for the model of a frustum of cone.

User:Ujjavalverma10

2011-04-03T15:57:12Z

Ujjavalverma10:

==A simple model for FRUSTUM OF A CONE==

I am new to the ASCEND language and intend to contribute something to the community through GSOC2011. I have prior experience with GUI development and would be applying for projects involving GUI development. I wrote a sample model for Frustum Of A Cone

<source lang="a4c">

REQUIRE "system.a4l";
MODEL frustrum_of_cone;

(* variables *)
R,
h,
r,
l,
metal_density,
curved_area,
total_area,
vol,
metal_mass IS_A solver_var;
(* specifications *)
R = 30.0;
r = 10.0;
h = 50.0;
metal_density = 9.60;

(* equations *)
l = sqrt(h^2 + (R-r)^2);
vol = 3.1416*h*(R^2 + r^2 + r*R)/3;
curved_area = 3.1416*l*(R+r);
total_area = 3.1416*(R^2 + r^2) + curved_area;
metal_mass = metal_density*vol;

METHODS

METHOD specify;
FIX R;
FIX r;
FIX h;
FIX metal_density;
END specify;

METHOD values;
R := 30.0 ;
r := 10.0;
h := 50.0;
metal_density := 9.60 ;

END values;

METHOD setup;
RUN specify;
RUN values;
END setup;

END frustrum_of_cone;

</source>

This [[MODEL]] is quite straight forward to write. ASCEND uses strong typing; it requires one to declare explicitly the type of each variable using [[IS_A]] statements.
[[Image:simple-tank-example.png|thumb|400px|none|The simple <tt>tank</tt> model, loaded and solved in ASCEND.]]

==Partitioned Model for FRUSTUM OF A CONE==

Following is a modified version of the Frustum [[MODEL]] which breaks down a frustum into two cones : A top cone cut out from a bottom cone.
<source lang="a4c">
REQUIRE "atoms.a4l";
MODEL cone;
(* variables *)
R,
h,
l IS_A distance;
curved_area IS_A area;
vol IS_A volume;

(* equations *)
l = sqrt(h^2 + R^2);
vol = 3.1416*h*R^2/3;
curved_area = 3.1416*l*R;
METHODS
METHOD specify;
FIX R;
FIX h;
END specify;
END cone;

MODEL partitioned_frustrum_of_cone;

(* variables *)
R,
r,
h IS_A distance;
l IS_A distance;
curved_area,
total_area IS_A area;

vol IS_A volume;
metal_density IS_A mass_density;
metal_mass IS_A mass;

(* parts *)
top IS_A cone;
bottom IS_A cone;

(* specifications *)
R = 30.0 {cm};
r = 10.0 {cm};
h = 50.0 {cm};
metal_density = 9.60 {g/cm^3};

(* equations *)
top.R = r;
top.h = r*h/(R-r);
bottom.R = R;
bottom.h = h + top.h;

l = bottom.l - top.l;
vol = bottom.vol - top.vol;
curved_area = bottom.curved_area - top.curved_area;
total_area = 3.1416*(R^2 + r^2) + curved_area;
metal_mass = metal_density*vol;

END partitioned_frustrum_of_cone;
</source>

User:Ujjavalverma10

2011-04-02T12:01:16Z

Ujjavalverma10: /* A simple model for FRUSTUM OF A CONE */

==A simple model for FRUSTUM OF A CONE==

I am new to the ASCEND language and intend to contribute something to the community through GSOC2011. I have prior experience with GUI development and would be applying for projects involving GUI development. I wrote a sample model for Frustum Of A Cone

<source lang="a4c">

REQUIRE "system.a4l";
MODEL frustrum_of_cone;

(* variables *)
R,
h,
r,
l,
metal_density,
curved_area,
total_area,
vol,
metal_mass IS_A solver_var;
(* specifications *)
R = 30.0;
r = 10.0;
h = 50.0;
metal_density = 9.60;

(* equations *)
l = sqrt(h^2 + (R-r)^2);
vol = 3.1416*h*(R^2 + r^2 + r*R)/3;
curved_area = 3.1416*l*(R+r);
total_area = 3.1416*(R^2 + r^2) + curved_area;
metal_mass = metal_density*vol;

METHODS

METHOD specify;
FIX R;
FIX r;
FIX h;
FIX metal_density;
END specify;

METHOD values;
R := 30.0 ;
r := 10.0;
h := 50.0;
metal_density := 9.60 ;

END values;

METHOD setup;
RUN specify;
RUN values;
END setup;

END frustrum_of_cone;

</source>

This [[MODEL]] is quite straight forward to write. ASCEND uses strong typing; it requires one to declare explicitly the type of each variable using [[IS_A]] statements.

==Partitioned Model for FRUSTUM OF A CONE==

Following is a modified version of the Frustum [[MODEL]] which breaks down a frustum into two cones : A top cone cut out from a bottom cone.
<source lang="a4c">
REQUIRE "atoms.a4l";
MODEL cone;
(* variables *)
R,
h,
l IS_A distance;
curved_area IS_A area;
vol IS_A volume;

(* equations *)
l = sqrt(h^2 + R^2);
vol = 3.1416*h*R^2/3;
curved_area = 3.1416*l*R;
METHODS
METHOD specify;
FIX R;
FIX h;
END specify;
END cone;

MODEL partitioned_frustrum_of_cone;

(* variables *)
R,
r,
h IS_A distance;
l IS_A distance;
curved_area,
total_area IS_A area;

vol IS_A volume;
metal_density IS_A mass_density;
metal_mass IS_A mass;

(* parts *)
top IS_A cone;
bottom IS_A cone;

(* specifications *)
R = 30.0 {cm};
r = 10.0 {cm};
h = 50.0 {cm};
metal_density = 9.60 {g/cm^3};

(* equations *)
top.R = r;
top.h = r*h/(R-r);
bottom.R = R;
bottom.h = h + top.h;

l = bottom.l - top.l;
vol = bottom.vol - top.vol;
curved_area = bottom.curved_area - top.curved_area;
total_area = 3.1416*(R^2 + r^2) + curved_area;
metal_mass = metal_density*vol;

END partitioned_frustrum_of_cone;
</source>

User:Ujjavalverma10

2011-04-02T07:46:32Z

Ujjavalverma10: /* A simple model for FRUSTUM OF A CONE */

==A simple model for FRUSTUM OF A CONE==

I am new to the ASCEND language and intend to contribute something to the community through GSOC2011. I wrote a sample model for Frustum Of A Cone

<source lang="a4c">

REQUIRE "system.a4l";
MODEL frustrum_of_cone;

(* variables *)
R,
h,
r,
l,
metal_density,
curved_area,
total_area,
vol,
metal_mass IS_A solver_var;
(* specifications *)
R = 30.0;
r = 10.0;
h = 50.0;
metal_density = 9.60;

(* equations *)
l = sqrt(h^2 + (R-r)^2);
vol = 3.1416*h*(R^2 + r^2 + r*R)/3;
curved_area = 3.1416*l*(R+r);
total_area = 3.1416*(R^2 + r^2) + curved_area;
metal_mass = metal_density*vol;

METHODS

METHOD specify;
FIX R;
FIX r;
FIX h;
FIX metal_density;
END specify;

METHOD values;
R := 30.0 ;
r := 10.0;
h := 50.0;
metal_density := 9.60 ;

END values;

METHOD setup;
RUN specify;
RUN values;
END setup;

END frustrum_of_cone;

</source>

This [[MODEL]] is quite straight forward to write. ASCEND uses strong typing; it requires one to declare explicitly the type of each variable using [[IS_A]] statements.

==Partitioned Model for FRUSTUM OF A CONE==

Following is a modified version of the Frustum [[MODEL]] which breaks down a frustum into two cones : A top cone cut out from a bottom cone.
<source lang="a4c">
REQUIRE "atoms.a4l";
MODEL cone;
(* variables *)
R,
h,
l IS_A distance;
curved_area IS_A area;
vol IS_A volume;

(* equations *)
l = sqrt(h^2 + R^2);
vol = 3.1416*h*R^2/3;
curved_area = 3.1416*l*R;
METHODS
METHOD specify;
FIX R;
FIX h;
END specify;
END cone;

MODEL partitioned_frustrum_of_cone;

(* variables *)
R,
r,
h IS_A distance;
l IS_A distance;
curved_area,
total_area IS_A area;

vol IS_A volume;
metal_density IS_A mass_density;
metal_mass IS_A mass;

(* parts *)
top IS_A cone;
bottom IS_A cone;

(* specifications *)
R = 30.0 {cm};
r = 10.0 {cm};
h = 50.0 {cm};
metal_density = 9.60 {g/cm^3};

(* equations *)
top.R = r;
top.h = r*h/(R-r);
bottom.R = R;
bottom.h = h + top.h;

l = bottom.l - top.l;
vol = bottom.vol - top.vol;
curved_area = bottom.curved_area - top.curved_area;
total_area = 3.1416*(R^2 + r^2) + curved_area;
metal_mass = metal_density*vol;

END partitioned_frustrum_of_cone;
</source>

User:Ujjavalverma10

2011-04-02T07:43:06Z

Ujjavalverma10: /* A simple model of 'Frustum of A cone' */

User:Ujjavalverma10

2011-04-02T07:40:11Z

Ujjavalverma10: Created page with '==A simple model of 'Frustum of A cone'== We construct the following ASCEND model for this problem. <source lang="a4c"> REQUIRE "system.a4l"; MODEL frustrum_of_cone; …'

==A simple model of 'Frustum of A cone'==

We construct the following ASCEND model for this problem.

<source lang="a4c">

REQUIRE "system.a4l";
MODEL frustrum_of_cone;

(* variables *)
R,
h,
r,
l,
metal_density,
curved_area,
total_area,
vol,
metal_mass IS_A solver_var;
(* specifications *)
R = 30.0;
r = 10.0;
h = 50.0;
metal_density = 9.60;

(* equations *)
l = sqrt(h^2 + (R-r)^2);
vol = 3.1416*h*(R^2 + r^2 + r*R)/3;
curved_area = 3.1416*l*(R+r);
total_area = 3.1416*(R^2 + r^2) + curved_area;
metal_mass = metal_density*vol;

METHODS

METHOD specify;
FIX R;
FIX r;
FIX h;
FIX metal_density;
END specify;

METHOD values;
R := 30.0 ;
r := 10.0;
h := 50.0;
metal_density := 9.60 ;

END values;

METHOD setup;
RUN specify;
RUN values;
END setup;

END frustrum_of_cone;

</source>

This [[MODEL]] is quite straight forward to write. ASCEND uses strong typing; it requires one to declare explicitly the type of each variable using [[IS_A]] statements. Any [[variable]] whose value it is expected to compute must be of at least type "solver_var," the type we have used here. (Note that we insert a first statement to "require" that a file called "system.a4l" loads first as it contains the definition for the type "solver_var.")