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#X text 123 27 MSD : mass - spring - damper model;
#X text 53 170 Be careful : if masses are deleted \, lists messages
won't work;
#X text 54 75 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 167 322 Rigidity;
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#X text 583 318 Rigidity with Lmin and Lmax;
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#X text 167 525 Rigidity with power = 1/2;
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#X text 648 705 L0;
#X text 582 529 Rigidity with power = 2;
#X text 601 26 The equations are :;
#X text 525 50 if Lmin<|L[n]-L[0]|<Lmax;
#X text 524 89 else;
#X text 533 109 F[n] = D(L[n]-L[n-1]);
#X text 533 69 F[n] = K(L[n] - L[0])^P + D(L[n] - L[n-1]);
#X text 53 202 Links connect masses two by two. They got 4 physicals
parameters : length \, rigidity \, damping and power.;
#X text 52 231 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 524 284 You can build specific links using different links
messages defining the characteristic step by step.;
#X text 51 272 Links can be created in one shot between mutiples masses
\, instead of creation number \, the masses linked are defined with
their Id.;
#X text 533 250 x1x2 + y1y2 + z1z2 = 0;
#X text 525 138 For oriented links \, the force F[n] is projected using
a vector which is given during the creation of the link using x1y1z1
coordinates.;
#X text 524 179 For tangentials links \, the force is projected onto
the given vector x1y1z1.;
#X text 533 266 x1x3 + y1y3 + z1z3 = 0;
#X text 524 209 For normals links \, the force is projected onto a
plane define with x2y2z2 and x3y3z3 calculated with the scalar products
:;
#X text 55 56 MSD is the 3D object of the msd objects collection.;
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#X restore 16 785 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 19 729 See Also:;
#X text 74 48 Full Name:;
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#X text 5 10 Externals and libraries;
#X obj 44 37 msd;
#X obj 141 38 msd2D;
#X restore 122 785 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 restore 17 209 pd compute;
#X obj 17 181 tgl 20 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 28 963 606 creation________ 0;
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#X text 7 2 CREATION Messages;
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#X msg 32 104 reset;
#X text 245 168 Add a mass;
#X text 70 191 \$1 : Id (symbol);
#X text 69 211 \$2 : fixed or mobile (0/1);
#X text 69 229 \$3 : mass;
#X msg 32 277 deleteMass \$1;
#X text 171 276 Delete a mass and associated links;
#X text 66 302 \$1 : Creation No of mass;
#X text 7 137 Masses :;
#X text 7 74 Reset :;
#X text 100 105 Delete all masses \, links and internal variables;
#X text 6 329 Links :;
#X text 62 388 \$1 : Id (symbol);
#X text 62 441 \$4 : rigidity;
#X msg 30 542 deleteLink \$1;
#X text 164 542 Delete a link;
#X text 57 570 \$1 : Creation No of link;
#X text 62 388 \$1 : Id (symbol);
#X text 62 441 \$4 : rigidity;
#X text 62 406 \$2 : creation No/Id of mass1;
#X text 62 424 \$3 : creation No/Id of mass2;
#X text 281 363 Add link(s);
#X text 62 459 \$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 30 362 link \$1 \$2 \$3 \$4 \$5 ($6 \$7 \$8);
#X text 59 477 ($6) : Power of the rigidity distance;
#X text 59 496 ($7) : minimum lenght of link;
#X text 59 513 ($8) : maximum lenght of link;
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#X text 519 197 \$1 : Id (symbol);
#X text 519 250 \$4 : rigidity;
#X text 519 197 \$1 : Id (symbol);
#X text 519 250 \$4 : rigidity;
#X text 519 215 \$2 : creation No/Id of mass1;
#X text 519 233 \$3 : creation No/Id of mass2;
#X text 519 268 \$5 : damping;
#X text 799 169 Add tangential link(s);
#X text 516 306 ($8) : Power of the rigidity distance;
#X text 516 325 ($9) : minimum lenght of link;
#X text 516 342 ($10) : maximum lenght of link;
#X text 520 401 \$1 : Id (symbol);
#X text 520 454 \$4 : rigidity;
#X text 520 401 \$1 : Id (symbol);
#X text 520 454 \$4 : rigidity;
#X text 520 419 \$2 : creation No/Id of mass1;
#X text 520 437 \$3 : creation No/Id of mass2;
#X text 520 472 \$5 : damping;
#X text 517 510 ($8) : Power of the rigidity distance;
#X text 517 529 ($9) : minimum lenght of link;
#X text 517 546 ($10) : maximum lenght of link;
#X text 485 75 Oriented links :;
#X text 801 368 Add normal link(s);
#X msg 32 167 mass \$1 \$2 \$3 \$4 \$5 \$6;
#X msg 489 168 tLink \$1 \$2 \$3 \$4 \$5 \$6 \$7 \$8 ($9 \$10 \$11)
;
#X msg 491 368 nLink \$1 \$2 \$3 \$4 \$5 \$6 \$7 \$8 ($9 \$10 \$11)
;
#X text 519 491 \$6 \, \$7 \, \$8 : normal vector;
#X text 518 287 \$6 \, \$7 \, \$8 : tangential vector;
#X text 69 247 \$4 \, \$5 \, \$8 : initial position;
#X text 487 102 In 2D (and 3D) there are two specials links : oriented
links. They works as general links excepts their calculation is made
following a vector for tangentials links or a plane for normals links.
;
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#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 9 751 CATEGORY: control;
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#X text 7 62 Masses :;
#X text 6 396 Links :;
#X text 7 2 DYNAMIC SETTINGS Messages;
#X msg 30 88 posX \$1 \$2;
#X text 190 148 Add force on mass(es);
#X msg 30 151 forceX \$1 \$2;
#X text 192 232 \$1 : Value;
#X text 193 107 \$1 : Id (symbol) or No;
#X text 193 165 \$1 : Id (symbol) or No;
#X msg 30 215 Xmin \$1;
#X msg 88 215 Xmax \$1;
#X msg 30 278 setMobile \$1;
#X msg 30 299 setFixed \$1;
#X text 193 89 Set position of fixed mass(es);
#X text 193 125 \$2 : Value;
#X text 193 183 \$2 : Value;
#X text 189 216 Set minimimum and maximum position of all masses;
#X text 189 278 Set mass to mobile or fixed;
#X msg 29 484 setD \$1 \$2;
#X text 184 470 \$2 : New value;
#X msg 29 433 setK \$1 \$2;
#X text 184 526 \$2 : New value;
#X text 184 579 \$2 : New value;
#X text 178 434 Set rigidity of link(s);
#X text 178 490 Set damping of link(s);
#X msg 29 539 setL \$1 \$2;
#X text 178 543 Set initial lenght of link(s);
#X text 184 452 \$1 : Id (symbol) or No;
#X text 184 508 \$1 : Id (symbol) or No;
#X text 184 561 \$1 : Id (symbol) or No;
#X text 192 295 \$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 30 329 grabMass \$1 \$2 \$3;
#X text 187 329 Grab nearest mass;
#X text 192 345 \$1 \, \$2 : position;
#X text 191 362 \$3 : grab or not (0/1);
#X msg 30 234 Ymin \$1;
#X msg 89 234 Ymax \$1;
#X msg 30 107 posY \$1 \$2;
#X msg 30 171 forceY \$1 \$2;
#X msg 30 126 posZ \$1 \$2;
#X msg 30 191 forceZ \$1 \$2;
#X msg 30 253 Zmin \$1;
#X msg 89 253 Zmax \$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 31 255 massesForcesL;
#X text 171 170 Output all masses positions in a list on outlet No
1;
#X text 140 355 \$1 : Attribute type ( massesPos / massesSpeeds / massesForces
/ linksPos );
#X text 140 330 Get specific attribute on specific element;
#X msg 20 328 get \$1 ($2);
#X text 7 290 Specific :;
#X text 140 425 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 141 501 message;
#X text 381 501 response;
#X text 140 482 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 171 256 Output all forces applied on masses in a list on outlet
No 1;
#X text 140 392 ($2) : - If not defined all the attributes are send
for all the elements. - Ids or/and creations No;
#X text 174 520 [get massesPos( -----> [massesPos 0 x0 y0 z0(;
#X text 335 534 [massesPos 2 x2 y2 z2(;
#X text 335 548 [massesPos 1 x1 y1 z1(;
#X text 160 570 [get massesPos 1( -----> [massesPosNo 1 x1 y1 z1(;
#X text 146 591 [get massesPos mas( -----> [massesPosId 0 x0 y0 z0(
;
#X text 335 606 [massesPosId 2 x2 y2 z2(;
#X text 335 621 [massesPosId 1 x1 y1 z1(;
#X msg 32 194 massesPosXL;
#X msg 32 215 massesPosYL;
#X msg 32 234 massesPosZL;
#X text 171 215 Output all masses x \, y or z in a list on outlet No
1;
#X restore 12 499 pd attributes______;
#X text 9 761 KEYWORDS: physical model mass spring damper link;
#X text 267 786 - Nicolas Montgermont \, May 12 \, 2005;
#X obj 18 296 msd2D;
#X obj 172 294 route massesPos linksPos;
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#X obj 189 77 gemmouse;
#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 obj 109 125 l 0 0;
#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;
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#X restore 393 295 pd gemmouse;
#X obj 393 274 gemhead;
#X obj 336 216 gemwin;
#X msg 336 194 0 \, destroy;
#X text 169 132 1 CREATE WINDOW -->;
#X text 168 163 2 DRAG THE STRUCTURE WITH THE MOUSE;
#N canvas 472 258 550 319 gemrender 0;
#X obj 48 203 translateXYZ;
#X obj 48 229 sphere 0.1;
#X obj 48 177 separator;
#X obj 48 153 any;
#X obj 64 114 gemhead 45;
#X obj 127 24 inlet;
#X obj 271 51 inlet;
#X obj 192 206 separator;
#X obj 192 182 any;
#X obj 192 251 curve 2;
#X obj 208 143 gemhead 45;
#X msg 348 100 \$4 \$5 0;
#X msg 276 96 \$2 \$3 0;
#X obj 250 170 t b a;
#X obj 127 62 unpack f f f;
#X obj 125 136 t b f;
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#X connect 15 1 0 1;
#X restore 172 321 pd gemrender;
#X msg 336 129 reset \, create \, 1;
#X text 168 195 3 AND DESTROY IT -->;
#X text 12 8 HELP: msd3D;
#X text 12 18 DESCRIPTION: Mass spring damper physical modeling in
3D.;
#X obj 157 48 msd3D;
#X text 112 730 01_msd3Dtest.pd;
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