Static Balancing Linkage Visualizer 3D

Static Balancing Studio 3D

3D mirrored cable-spring setup where r1, r2, k1, and k2 are solved from equilibrium equations using Lcog, rtot, a1, a2, and other parameters.

Center of Gravity

Mass (kg) COG with respect to beginning of cylinder Lcog (mm)

Cylinder

Cylinder Radius r_cylinder (mm) Cylinder Length (mm)

Attachment Points

Rtotal: distance between first and second attachment point on tube rtot = r1 – r2 (mm) Upper Pulley Height a1 (mm) Lower Pulley Height a2 (mm, negative)

Pulley Positions

Distance upper left pulley from Y-plane dULz (mm) Distance upper right pulley from Y-plane dURz (mm) Distance lower left pulley from Y-plane dLLz (mm) Distance lower right pulley from Y-plane dLRz (mm)

Others

Spring Natural Length L0 (mm) Gravity g (m/s²) Sample Count

Equations

Eq. 1: a1 * k1 * r1 + a2 * k2 * r2 = m * g * L

Eq. 2: a1 * k1 + a2 * k2 = m * g

Eq. 3: r1 * k1 + r2 * k2 = 0

Pulley positions: P1- = (0, a1, -dUL), P1+ = (0, a1(right), dUR), P2- = (0, a2, -dLL), P2+ = (0, a2(right), dLR)

Cable lengths: dUL = ||A1+ – P1+||, dUR = ||A1- – P1-||, dLL = ||A2+ – P2+||, dLR = ||A2- – P2-||

Elongations: eUL = dUL, eUR = dUR, eLL = dLL, eLR = dLR

Forces: FUL = k1_each * eUL, FUR = k1_each * eUR, FLL = k2_each * eLL, FLR = k2_each * eLR

View

Solve to compute stiffness and mirrored spring-cable states.

deg

InteSprings Virtual Rotationpoint Balancer

Static Balancing Studio 3D

Center of Gravity

Cylinder

Attachment Points

Pulley Positions

Others

Equations

Spring/Cable Forces vs Angle

Potential Energy vs Angle

Vertical Force at Rotation Point vs Angle

Horizontal Force at Rotation Point vs Angle

Spring/Cable Elongation vs Angle