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Ground TransitionFORMsngllflgFORMPvelotkeyflagxtlfxtrtckydhӐckytFORMPdatatkeyflagxtlfxtrtckydKBckytFORMJchnlkparksib hder&RaytraceFORMchnlkparksibhder. Diffraction IndexFORMsngllflgFORMPvelotkeyflagxtlfxtrtckyd#hckytFORMPdatatkeyflagxtlfxtrtckydZO_ckytFORM9 pinlFORMpginpflgplvlpgidpgtpEIpMpgcpEICMpgcdPREFTEXT// ++++++ SPRING ++++++ //--------------------------- // initializing variable data types for compiler double k; double rest_length; vec ending_A; vec ending_B; vec direction; double current_length; // Spring Setup /* a spring mathematically consists out of an elasticity coefficient "k" and its length in rest. The larger k is the stiffer the spring is. */ // defining elasticity and length of the spring k = 5; rest_length = 1; /* A spring has two ends. In our case it is fixed on a hook on the ceiling. The other end is the position of the mass that is attached to the spring. in the example the hook on the ceiling is the position of this instance of XP (spring1_xp) and the ending is the position of the mass instance of XP (mass_xp) */ // defining the ending points of the spring ending_A = spring1_xp.Position; ending_B = mass_xp.Position; //--------------------------- // Spring Forces and Motion /* The forces at the ends of the spring have a direction. They are determined by the positions of their ends in space. We calculate the direction of force and scale it so that the size is 1 (no check for division by zero if ending_A = ending_B) */ direction = ( ending_A - ending_B ); current_length = length( direction ); direction = direction / current_length; /* the force depends on how far the spring was streched/compressed from its rest_length. The force at ending A = -force at ending B. We have made custom channels to buffer the two forces at the ends of the spring to make it available to the mass. the units used are meters and Newton = kg * m / s ^ 2 */ spring1_xp.forceA = direction * k * ( rest_length - current_length ); spring1_xp.forceB = -spring1_xp.forceA; //--------------------------- // Spring Geometry /* To make actual geometry for the springs I made a spring with an Ubershape Cylinder. The shear angle of the shear deformation of the spring is animated with the distance between ending_A and ending_B minus the radius of the sphere. */ spring1_geo.Region1.Shear.Angle = ( distance( ending_A, ending_B ) - 0.5 ) * 15; //--------------------------- // Script by Patrick Enoch/Jens C. Moeller // ramjac Software 2002 OPTSD?zG{ spring1_xpw2CHANTmass_xp.Position 5hX @0p`pp@ TJMhhѼ`MptAɠM 0M ؿ qmass_xpf`7 74T@08jQe CHANTspring1_geo.Region1.Shear.Angle @0p`pp@ TJMhhѼ`MptAɠM 0M ؿ q spring1_geo7 74T@08jQ CHANTspring1_xp.forceAn1.Shear.Angle @0p`pp@ TJMhhѼ`MptAɠM 0M ؿ q spring1_xp`7 74T@08jQwCHANTspring1_xp.forceBn1.Shear.Angle @0p`pp@ TJMhhѼ`MptAɠM 0M ؿ q spring1_xp`7 74T@08jQwCHANTspring1_xp.Position.Shear.Angle @0p`pp@ TJMhhѼ`MptAɠM 0M ؿ q spring1_xp`7 74T@08jQewSOCKPforceA1f`7 74T@08jQSOCKPforceB1f`7 74T@08jQFOLDY$FORMofilelctrcEIPMREBIRTH Applications EIAS 5.5.3 EI Sockets XpressionistXpressionist.plmprntFORMpginpflgplvlpgidpgtpEIpMpgcpEICMpgcdPREFTEXT // MASS //------------------------ // definition of variable data types for the compiler double mass; double friction; vec gravity; vec net_force; // Mass Setup /* defining the constants for the mass. Mass is in kilograms - here 0.1kg. friction (damping) is the amount of velocity the mass will loose from one frame to the next - here 5% loss. Also here is a definition for the gravity vector force. It goes towards -Y. Optional you can define a starting condition for the mass. */ mass = 0.1; friction = 0.95; gravity = vec( 0, -9.81, 0 ); // mass_xp.velocity = vec( 5, 0, 0 ); (optional starting velocity of the mass) //------------------------ // Forces that act on the mass /* The mass' movement is determined by the forces that act upon the mass. This is gravity (giving the mass a weight, pulling it down), and the forces of the springs. All theses forces are added up to result in a total force that moves the mass around. the overall (netto) force is here called net_force */ net_force = gravity; net_force += spring1_xp.forceB[frame-1]; net_force += spring2_xp.forceB[frame-1]; /* net_force += spring3_xp.forceB[frame-1]; net_force += ... ... if you have more springs or other forces in the project, add their forces to the net_force. */ //------------------------ // Velocity and movement of the mass that results from the forces /* The system starts on frame 1. Frame 0 should have velocity = 0 (you can also define other starting velocities) and store the initial position of the mass. To be able to index the velocity vector, we have created a vector channel in the prference tab for the velocity of the mass. The velocity of the current frame is the velocity of the last frame minus the loss by friction plus the netto force (in Newton) / mass (kilograms) * time Newton = kg * m/s^2 = mass * acceleration We have to divide the mass' velocity by the mass (the heavier, the less the force affects its velocity) and multiply it with the time the force affects the mass (1/fps). The new position of the mass is calculated by last frames position plus velocity * time */ mass_xp.velocity = mass_xp.velocity[frame-1] * friction + net_force / mass / fps; mass_xp.Position = mass_xp.Position[frame-1] + mass_xp.velocity / fps; //------------------------ // script by Patrick Enoch/Jens C. Moeller // ramjac Software 2002-2004 OPTSD?zG{mass_xp CHANTmass_xp.Position .She5hXngle @0`PP`pp@COREPS ACHN4D`MpP@AɠtCRARsyPt5 mass_xpf`7 74Tp 07HjQe CHANTmass_xp.velocity .She5hXngle @0`PP`pp@COREPS ACHN4D`MpP@AɠtCRARsyPt5 mass_xpf`7 74Tp 07HjQ CHANTspring1_xp.forceB .She5hXngle @0`PP`pp@COREPS ACHN4D`MpP@AɠtCRARsyPt5 spring1_xp`7 74Tp 07HjQwCHANTspring2_xp.forceB .She5hXngle @0`PP`pp@COREPS ACHN4D`MpP@AɠtCRARsyPt5 spring2_xp`7 74Tp 07HjQLSOCKPvelocityf`7 74Tp 07HjQFOLDFORMofilelctrcEIPMREBIRTH Applications EIAS 5.5.3 EI Sockets XpressionistXpressionist.plmprntFORMpginpflgplvlpgidpgtpEIpMpgcpEICMpgcdPREFTEXT;3// SPRING //--------------------------- // definition of data types for the compiler double k; double rest_length; vec ending_A; vec ending_B; vec direction; double current_length; // Spring Setup /* a spring mathematically consists out of an elasticity coefficient "k" and its length in rest. The larger k is the stiffer the spring is. */ k = 5; rest_length = 1; /* A spring has two ends. In our case it is fixed on a hook on the ceiling. The other end is the position of the mass that is attached to the spring. */ ending_A = spring2_xp.Position; ending_B = mass_xp.Position; //--------------------------- // Spring Forces and Motion /* The forces at the ends of the spring have a direction. They are determined by the positions of their ends in space. We calculate the direction of force and scale it so that the size is 1 (no check for division by zero if ending_A = ending_B) */ direction = (ending_A - ending_B); current_length = length(direction); direction = direction / current_length; /* the force depends on how far the spring was streched/compressed from its rest_length. The force at ending A = -force at ending B. We have made custom channels to buffer the two forces at the ends of the spring to make it available to the mass. the units used are meters and Newton = kg * m/s^2 */ spring2_xp.forceA = direction * k * ( rest_length - current_length ); spring2_xp.forceB = -spring2_xp.forceA; //--------------------------- // Spring Geometry /* To make actual geometry for the springs I made a spring with an Ubershape Cylinder. The shear angle of the shear deformation of the spring is animated with the distance between ending_A and ending_B minus the radius of the sphere. */ spring2_geo.Region1.Shear.Angle = ( distance( ending_A, ending_B ) - 0.5 ) * 15; OPTSD?zG{ spring2_xpL2CHANTmass_xp.Position @5hX @@ ICHN`p0p@p@P Aɠp`MpC@Aɠ  @@  QP mass_xpf`7 74Tp 07HjQe CHANTspring2_geo.Region1.Shear.Angle @@ ICHN`p0p@p@P Aɠp`MpC@Aɠ  @@  QP spring2_geo7 74Tp 07HjQ CHANTspring2_xp.forceAn1.Shear.Angle @@ ICHN`p0p@p@P Aɠp`MpC@Aɠ  @@  QP spring2_xp`7 74Tp 07HjQLCHANTspring2_xp.forceBn1.Shear.Angle @@ ICHN`p0p@p@P Aɠp`MpC@Aɠ  @@  QP spring2_xp`7 74Tp 07HjQLCHANTspring2_xp.Position.Shear.Angle @@ ICHN`p0p@p@P Aɠp`MpC@Aɠ  @@  QP spring2_xp`7 74Tp 07HjQeLSOCKPforceA2f`7 74Tp 07HjQSOCKPforceB2f`7 74Tp 07HjQFOLDM$FORMofilelctrcEIPMREBIRTH Applications EIAS 5.5.3 EI Sockets XpressionistXpressionist.plmprntFORMTulsttype typetypetypetypetypetypetypetypetypetypetypetypetypetypetypetypetypetypetypetypeFORM2olstFORMoelmtypemethflag hsta FORMhlnkloffpofflrotprotprerH???pres???FORMhcnstypeflg0rminrmaxrcntstifvscspminpmaxgrvtmdng????FORMoelmtypemethflag hsta FORMhlnkloffpofflrotprotprerH???pres???FORMhcnstypeflg0rminrmaxrcntstifvscspminpmaxgrvtmdng????FORMoelmtypemethflag hsta FORMhlnkloffpofflrotprotprerH???pres???FORMhcnstypeflg0rminrmaxrcntstifvscspminpmaxgrvtmdng????FORMoelmtypemethflag hsta FORMhlnkloffpofflrotprotprerH???pres???FORMhcnstypeflg0rminrmaxrcntstifvscspminpmaxgrvtmdng????FORMoelmtypemethflag hsta FORMhlnkloffpofflrotprotprerH???pres???FORMhcnstypeflg0rminrmaxrcntstifvscspminpmaxgrvtmdng????FORMoelmtypemethflag hsta FORMhlnkloffpofflrotprotprerH???pres???FORMhcnstypeflg0rminrmaxrcntstifvscspminpmaxgrvtmdng????FORMoelmtypeprntmethflaghsta FORMhlnkloffpoff_?sfr?@lrotprotprerH?<ɳZH]71 @<7P>>;f"k?<ɳ[T>>;eԾpres???FORMhcnstypeflg0rminrmaxrcntstifvscspminpmaxgrvtmdng????FORMoelmtypeprntmethflaghsta FORMhlnkloffpoff`~X?lrotprotprerH?>)n x?>)n xpres???FORMhcnstypeflg0rminrmaxrcntstifvscspminpmaxgrvtmdng????FORMoelmtypeprntmethflaghsta FORMhlnkloffpoff#O?~U?i/*lrotprotprerH???pres???FORMhcnstypeflg0rminrmaxrcntstifvscspminpmaxgrvtmdng????FORMoelmtypeprntmethflaghsta FORMhlnkloffpofflrotprotprerH???pres???FORMhcnstypeflg0rminrmaxrcntstifvscspminpmaxgrvtmdng????FORMoelmtypeprntmethflaghsta FORMhlnkloffpoffS=lrotprotprerH???pres???FORMhcnstypeflg0rminrmaxrcntstifvscspminpmaxgrvtmdng????FORMoelmtypeprntmethflaghsta FORMhlnkloffpofflrotprotprerH?>)n x?>)n xpres???FORMhcnstypeflg0rminrmaxrcntstifvscspminpmaxgrvtmdng????FORMoelmtypeprntmethflaghsta FORMhlnkloffpofflrotprotprerH???pres???FORMhcnstypeflg0rminrmaxrcntstifvscspminpmaxgrvtmdng????FORMoelmtypeprntmethflaghsta FORMhlnkloffpofflrotprotprerH?:}bvs?:}bvspres???FORMhcnstypeflg0rminrmaxrcntstifvscspminpmaxgrvtmdng????FORMoelmtypeprntmethflaghsta FORMhlnkloffpofflrotprotprerH???pres???FORMhcnstypeflg0rminrmaxrcntstifvscspminpmaxgrvtmdng????FORMoelmtypeprntmethflaghsta FORMhlnkloffpoff?#O~Ui2lrotprotprerH???pres???FORMhcnstypeflg0rminrmaxrcntstifvscspminpmaxgrvtmdng????FORMoelmtypeprntmethflaghsta FORMhlnkloffpoff?#O~Ui/*lrotprotprerH???pres???FORMhcnstypeflg0rminrmaxrcntstifvscspminpmaxgrvtmdng????FORMdpllFORMpdplyverspfrmdlstdfif4????????????????rvsvFORMpdplyverspfrmdlstdfif4????????????????rvsvFORMpdplyverspfrmdlstdfif4????????????????rvsvFORM|dplyverspfrmflstdlstdfif4CORD @ELEM[NVRT'\@????rvsvFORM|dplyverspfrmflstdlstdfif4CORD @ELEM[NVRT'\@????rvsvFORM|dplyverspfrmflstdlstdfif4CORD ELEMNVRT????rvsv