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#X text 96 12 MSD : mass - spring - damper model;
#X text 27 155 Be careful : if masses are deleted \, lists messages
won't work;
#X text 27 60 It is designed to implement particules physical model
in PD.The model is based on two elements type : mass and link. The
msd masses are the principals objects of the model. They got only one
physical parameter \, the value of their mass. They can be mobile or
fixed \, in this case forces applied on them automatically \, by links
\, or manually \, by messages \, don't do anything.;
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#X text 125 307 Rigidity;
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#X text 657 482 L0;
#X text 569 304 Rigidity with Lmin and Lmax;
#X text 673 482 Lmin;
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#X text 126 505 Rigidity with power = 1/2;
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#X text 639 684 L0;
#X text 571 508 Rigidity with power = 2;
#X text 571 12 The equations are :;
#X text 497 36 if Lmin<|L[n]-L[0]|<Lmax;
#X text 496 75 else;
#X text 496 95 F[n] = D(L[n]-L[n-1]);
#X text 496 54 F[n] = K(L[n] - L[0])^P + D(L[n] - L[n-1]);
#X text 28 187 Links connect masses two by two. They got 4 physicals
parameters : length \, rigidity \, damping and power.;
#X text 27 216 Rigidity \, damping and power are defined by the creation
message. The lenght is initialised to the distance between the two
masses at the creation.;
#X text 495 124 For oriented links \, the force F[n] is projected onto
a vector which is given during the creation of the link using x1y1
coordinates.;
#X text 495 169 For normal vector \, the direction is calculated using
the scalar product :;
#X text 495 248 You can build specific links using different links
messages defining the characteristic step by step.;
#X text 496 206 x1x2 + y1y2 = 0;
#X text 27 257 Links can be created in one shot between mutiples masses
\, instead of creation number \, the masses linked are defined with
their Id.;
#X text 28 41 MSD is the 2D object of the msd objects collection.;
#X connect 3 0 4 0;
#X restore 16 731 pd More_Info;
#X text 12 76 Examples:;
#X text 9 369 Inlets:;
#X text 19 388 - Left:;
#X text 10 526 Arguments:;
#X text 11 562 Outlets:;
#X text 19 675 See Also:;
#X text 74 48 Full Name:;
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#X text 5 10 Externals and libraries;
#X obj 141 38 msd3D;
#X obj 44 37 msd;
#X restore 122 731 pd Related_Objects;
#N canvas 257 262 759 345 init 0;
#X obj 89 215 t a;
#X obj 89 33 loadbang;
#X obj 89 241 s \$0-in;
#X obj 89 59 t b b b b b;
#X msg 161 80 reset;
#X obj 44 13 inlet;
#X msg 143 100 mass fix 0 10 0 0;
#X msg 89 187 Xmax 4 \, Xmin -4 \, Ymax 4 \, Ymin -4;
#X msg 125 120 mass mob 1 100 0 -2 \, mass mob 1 100 2 0 \, mass mob
1 100 0 2 \, mass mob 1 100 -2 0;
#X msg 107 161 link souple fix mob 10 10 \, link souple mob mob 10
10;
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#X restore 17 156 pd init;
#X obj 18 321 s \$0-out;
#X obj 18 272 r \$0-in;
#X obj 393 317 s \$0-in;
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#X obj 27 29 inlet;
#X obj 27 127 s \$0-in;
#X msg 27 96 bang \, get massesPos \, get linksPos;
#X obj 27 66 gemhead;
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#X connect 0 0 3 0;
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#X restore 17 209 pd compute;
#X obj 17 181 tgl 15 0 empty empty ON/OFF 25 10 1 10 -262144 -1 -1
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#X text 101 388 Bang - A bang at the left inlet compute the new model
state based on previous instant.;
#X text 158 478 To set the model parameters after creation.;
#X text 158 456 To create the model masses and links.;
#X text 158 501 To get the model parameters;
#N canvas 8 28 967 626 creation________ 0;
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#X text 7 2 CREATION Messages;
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#X msg 32 104 reset;
#X text 202 167 Add a mass;
#X text 57 191 \$1 : Id (symbol);
#X text 57 211 \$2 : fixed or mobile (0/1);
#X text 57 229 \$3 : mass;
#X msg 32 286 deleteMass \$1;
#X text 194 288 Delete a mass and associated links;
#X text 54 309 \$1 : Creation No of mass;
#X text 7 137 Masses :;
#X text 7 74 Reset :;
#X text 129 105 Delete all masses \, links and internal variables;
#X text 6 351 Links :;
#X text 49 406 \$1 : Id (symbol);
#X text 49 459 \$4 : rigidity;
#X msg 30 555 deleteLink \$1;
#X text 166 557 Delete a link;
#X text 47 578 \$1 : Creation No of link;
#X text 49 406 \$1 : Id (symbol);
#X text 49 459 \$4 : rigidity;
#X text 49 424 \$2 : creation No/Id of mass1;
#X text 49 442 \$3 : creation No/Id of mass2;
#X text 266 384 Add link(s);
#X text 49 477 \$5 : damping;
#X text 10 28 Creation messages are used to define the structure of
the model. Messages create links and masses or destroy them.;
#X msg 30 384 link \$1 \$2 \$3 \$4 \$5 (\$6 \$7 \$8);
#X msg 32 167 mass \$1 \$2 \$3 \$4 \$5;
#X text 57 247 \$4 \, \$5 : initial position;
#X text 46 495 (\$6) : Power of the rigidity distance;
#X text 46 514 (\$7) : minimum lenght of link;
#X text 46 531 (\$8) : maximum lenght of link;
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#X text 527 180 \$1 : Id (symbol);
#X text 527 233 \$4 : rigidity;
#X text 527 180 \$1 : Id (symbol);
#X text 527 233 \$4 : rigidity;
#X text 527 198 \$2 : creation No/Id of mass1;
#X text 527 216 \$3 : creation No/Id of mass2;
#X text 527 251 \$5 : damping;
#X text 790 152 Add tangential link(s);
#X text 524 289 (\$8) : Power of the rigidity distance;
#X text 524 308 (\$9) : minimum lenght of link;
#X text 524 325 (\$10) : maximum lenght of link;
#X msg 508 153 tLink \$1 \$2 \$3 \$4 \$5 \$6 \$7 (\$8 \$9 \$10);
#X text 504 75 Oriented links :;
#X text 506 102 In 2D (and 3D) there are two specials links : oriented
links. They works as general links excepts their calculation is made
following a vector.;
#X text 526 270 \$6 \, \$7 : tangential vector (x \, y);
#X connect 35 0 37 0;
#X restore 12 457 pd creation________;
#X text 103 542 None;
#X text 18 583 - Left:;
#X text 101 584 Outputs the model parameters asked with the attributes
messages.;
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#X text 17 628 - Right:;
#X text 100 629 Outputs information on model when creation messages
are send or with the special message [infosL( which dump the complete
state of the model.;
#X text 101 420 Messages - Different messages are used to control the
msd object. They are of three types :;
#X text 9 697 CATEGORY: control;
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#X text 7 62 Masses :;
#X text 6 378 Links :;
#X text 7 2 DYNAMIC SETTINGS Messages;
#X msg 31 96 posX \$1 \$2;
#X text 190 144 Add force on mass(es);
#X msg 30 143 forceX \$1 \$2;
#X text 192 216 \$1 : Value;
#X text 193 107 \$1 : Id (symbol) or No;
#X text 193 161 \$1 : Id (symbol) or No;
#X msg 30 195 Xmin \$1;
#X msg 89 195 Xmax \$1;
#X msg 29 244 setMobile \$1;
#X msg 29 265 setFixed \$1;
#X text 193 89 Set position of fixed mass(es);
#X text 193 125 \$2 : Value;
#X text 193 179 \$2 : Value;
#X text 189 200 Set minimimum and maximum position of all masses;
#X text 188 244 Set mass to mobile or fixed;
#X msg 29 466 setD \$1 \$2;
#X text 184 452 \$2 : New value;
#X msg 29 415 setK \$1 \$2;
#X text 184 508 \$2 : New value;
#X text 184 561 \$2 : New value;
#X text 178 416 Set rigidity of link(s);
#X text 178 472 Set damping of link(s);
#X msg 29 521 setL \$1 \$2;
#X text 178 525 Set initial lenght of link(s);
#X text 184 434 \$1 : Id (symbol) or No;
#X text 184 490 \$1 : Id (symbol) or No;
#X text 184 543 \$1 : Id (symbol) or No;
#X text 191 261 \$1 : Id (symbol) or No;
#X text 10 25 Dynamic settings messages allows the user to redefine
internal parameters of links and masses.;
#X msg 29 301 grabMass \$1 \$2 \$3;
#X text 186 301 Grab nearest mass;
#X text 191 317 \$1 \, \$2 : position;
#X text 190 334 \$3 : grab or not (0/1);
#X msg 31 117 posY \$1 \$2;
#X msg 30 164 forceY \$1 \$2;
#X msg 30 217 Ymin \$1;
#X msg 89 217 Ymax \$1;
#X restore 12 478 pd dynamic settings;
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#X text 7 74 General :;
#X text 7 2 ATTRIBUTES Messages;
#X text 7 137 Lists :;
#X msg 33 104 infosL;
#X text 136 104 Get infos on all masses and links on right outlet;
#X msg 32 170 massesPosL;
#X msg 32 239 massesForcesL;
#X text 170 170 Output all masses positions in a list on outlet No
1;
#X text 139 321 Get specific attribute on specific element;
#X msg 19 319 get \$1 (\$2);
#X text 6 281 Specific :;
#X text 139 416 The get message return the asked attribute preceded
by an identifier and the creation No of the element. The identifier
is made of the asked parameter and the way you asked for it.;
#X text 140 492 message;
#X text 380 492 response;
#X text 139 473 Examples with 3 masses numbered 0 \, 1 and 2 and named
mas:;
#X text 15 30 The attributes messages ask the object to output some
of his internal parameters. They can be output by lists for positions
and forces of masses.;
#X text 169 240 Output all forces applied on masses in a list on outlet
No 1;
#X text 139 383 (\$2) : - If not defined all the attributes are send
for all the elements. - Ids or/and creations No;
#X msg 32 192 massesPosXL;
#X text 170 202 Output all masses x or y in a list on outlet No 1;
#X msg 32 213 massesPosYL;
#X text 138 340 \$1 : Attribute type ( massesPos / massesPosName /
massesSpeeds / massesSpeedsName / massesForces / massesForces / linksPos
/ linksPos );
#X text 173 511 [get massesPos( -----> [massesPos 0 x0 y0(;
#X text 334 525 [massesPos 2 x2 y2(;
#X text 334 539 [massesPos 1 x1 y1(;
#X text 159 561 [get massesPos 1( -----> [massesPosNo 1 x1 y1(;
#X text 145 582 [get massesPos mas( -----> [massesPosId 0 x0 y0(;
#X text 334 597 [massesPosId 2 x2 y2(;
#X text 334 612 [massesPosId 1 x1 y1(;
#X text 145 633 [get massesPosName( -----> [massesPosName name_0 x0
y0(;
#X text 335 648 [massesPosName name_2 x2 y2(;
#X text 335 663 [massesPosName name_1 x1 y1(;
#X restore 12 499 pd attributes______;
#X text 9 707 KEYWORDS: physical model mass spring damper link;
#X text 267 732 - Nicolas Montgermont \, May 12 \, 2005;
#X text 12 8 HELP: msd2D;
#X text 12 18 DESCRIPTION: Mass spring damper physical modeling in
2D.;
#X obj 157 48 msd2D;
#X text 257 676 editor/msd2d-editor.pd;
#X text 112 676 01_msd2Dtest.pd;
#X obj 18 296 msd2D;
#X obj 172 294 route massesPos linksPos;
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#X obj 189 184 pack f f;
#X obj 189 218 spigot;
#X obj 109 243 outlet;
#X obj 109 36 inlet;
#X obj 109 98 t b;
#X obj 238 131 + 4;
#X msg 57 182 posX fix \$1;
#X msg 57 203 posY fix \$2;
#X obj 189 108 / 62.5;
#X obj 237 107 / -62.5;
#X obj 189 131 - 4;
#X obj 109 125 list 0 0;
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#X connect 6 0 1 1;
#X connect 7 0 3 0;
#X connect 8 0 3 0;
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#X connect 10 0 6 0;
#X connect 11 0 1 0;
#X connect 12 0 7 0;
#X connect 12 0 8 0;
#X restore 393 295 pd gemmouse;
#X obj 393 274 gemhead;
#X obj 336 216 gemwin;
#X msg 336 194 0 \, destroy;
#N canvas 472 258 550 319 gemrender 0;
#X obj 48 203 translateXYZ;
#X obj 48 229 sphere 0.1;
#X obj 127 24 inlet;
#X obj 360 32 inlet;
#X obj 275 232 curve 2;
#X msg 431 81 \$4 \$5 0;
#X msg 359 77 \$2 \$3 0;
#X obj 359 105 t b a;
#X obj 127 62 unpack f f f;
#X obj 166 88 t b f;
#X msg 48 110 0;
#X obj 48 77 loadbang;
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#X msg 275 160 0;
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#X connect 14 0 13 0;
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#X restore 172 320 pd gemrender;
#X msg 336 129 reset \, create \, 1;
#X text 135 98 Sorry \, you need GEM for this example...;
#X text 169 132 1 Create window -->;
#X text 169 163 2 Drag the structure with the mouse;
#X text 169 195 3 Destroy the window -->;
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#X connect 26 0 19 0;
#X connect 49 0 20 0;
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