KineSolver

KineSolver Tutorial & Production Hub

Live 60 FPS 2D Blueprint CAE Simulators & Comprehensive Parameter Dictionary

🎓 Interactive CAE Mechanism Synthesis Masterclass & Live Simulators

Explore KineSolver's 5 core mechanism studios with interactive 60 FPS 2D Blueprint simulators. Watch the animated data-input sequence where synthesis parameters (motion laws, rise/dwell angles, link ratios, Chebyshev precision points, Burmester curves) are typed and visually mapped to each mechanism before full-speed kinematic execution. Record 15-second Full HD MP4 videos for YouTube engineering tutorials and export production-ready AutoCAD DXF CNC toolpaths.

01

Disk Cam Mechanism & Roller Follower Dynamics (Disk Cam CAE)

● Live 60 FPS Blueprint Simulator • 1280x720 HD
00:00 / 00:15
📺 Official YouTube Tutorial Video Link:

📋 Step-by-Step Synthesis & Workflow Guide:

  • Motion Law Selection: Choose acceleration characteristic. In high-speed automated machinery, select Cycloidal Motion to eliminate infinite jerk spikes, preventing valve bounce and mechanical shock.
  • Timing Interval Allocation: In one 360° camshaft rotation, define angular spans for follower rise, dwell at crest, descent return, and baseline rest (β₁ + β₂ + β₃ + β₄ = 360°).
  • Fundamental Geometric Sizing: Define base circle radius (r₁), follower roller bearing radius (r₂), and net linear stroke travel (h).
  • CAE Validation & CNC Toolpath: Ensure maximum pressure angle satisfies α_max ≤ 30° to prevent follower guide jamming, and curvature radius satisfies ρ_min > r₂ to eliminate undercutting. Export AutoCAD DXF profile.

🔍 Detailed Parameter & Angle Dictionary (What Each Input Means):

Rise Angle (Climb Interval) β₁ (90° - 120°)

Angular rotation of camshaft lifting follower from baseline to peak stroke. Smaller angles result in steeper cam flanks and increased side thrust pressure angle.

Top Dwell Angle (Hold Interval) β₂ (e.g. 60°)

Camshaft angular span where follower remains completely stationary at maximum lift with zero velocity. Used for stamping, clamping, or welding operations.

Return Angle (Descent Interval) β₃ (90° - 120°)

Camshaft angle during which follower descends back to base circle under spring force or gravity, following a controlled deceleration curve.

Bottom Dwell Angle (Rest Interval) β₄ (Remaining Degrees)

Rest angle at the base radius before initiating the next stroke. The sum of all four angles must strictly equal 360°: β₁ + β₂ + β₃ + β₄ = 360°.

Base Circle Radius r₁ / Rb (mm)

Smallest circle from camshaft center to cam profile. Determines physical envelope, structural rigidity, and shaft torque. Increasing r₁ reduces pressure angle.

Roller Follower Radius r₂ / Rr (mm)

Outer radius of roller bearing contacting cam surface. Replaces sliding with rolling friction. Must satisfy ρ_min > r₂ to prevent undercutting.

Lift / Stroke Travel h (mm)

Net linear displacement travel of follower from lowest to highest position (e.g. valve opening or punch tool stroke).

Max Pressure Angle α_max ≤ 30°

Angle between contact normal and follower motion axis. Exceeding 30° causes excessive lateral force, leading to mechanical wedging and jamming in guide bushings.

02

Planar Four-Bar Linkage Dynamics (Crank-Rocker CAE)

● Live 60 FPS Blueprint Simulator • 1280x720 HD
00:00 / 00:15
📺 Official YouTube Tutorial Video Link:

📋 Step-by-Step Synthesis & Workflow Guide:

  • Grashof Rotatability Condition: Verify that the sum of shortest link (s) and longest link (l) is less than or equal to the remaining two links (p + q): s + l ≤ p + q. Continuous 360° crank rotation requires this condition.
  • Link Dimension Allocation: Enter driving crank length (r₁), coupler length (r₂), oscillating rocker length (r₃), and ground frame distance (r₀).
  • Transmission Angle Optimization: Verify that transmission angle μ at rocker joint B remains within safe limits (40° ≤ μ ≤ 140°) across the full stroke to prevent mechanical toggle jamming.
  • Dynamic Motion Simulation: Observe continuous crank rotation and smooth rocker oscillation on the 2D blueprint. Export DXF CNC drawings.

🔍 Detailed Parameter & Angle Dictionary (What Each Input Means):

Crank Link Length r₁ / r (Shortest Link)

Continuously rotating input link connected to motor shaft. Rotates full 360° without dead points.

Coupler Link Length r₂ / l (Floating Link)

Floating intermediate link transmitting motion between crank pin A and rocker joint B. Undergoes general planar motion.

Rocker Link Length r₃ / u (Output Link)

Output arm oscillating back and forth between two angular limit extremes around fixed pivot O₂.

Ground Frame Distance r₀ / d (Chassis Base)

Fixed distance between ground bearings O₁ and O₂ on the machine frame.

Transmission Angle μ (40° ≤ μ ≤ 140°)

Acute angle between coupler centerline and rocker centerline. Direct indicator of force transmission quality. Values below 40° lead to high joint friction and jamming.

Instantaneous Crank Angle ψ (0° → 360°)

Current angular position of driving crank link relative to horizontal base line O₁-O₂.

03

Freudenstein 4-Bar Function Generator Synthesis (Function Synthesis CAE)

● Live 60 FPS Blueprint Simulator • 1280x720 HD
00:00 / 00:15
📺 Official YouTube Tutorial Video Link:

📋 Step-by-Step Synthesis & Workflow Guide:

  • Target Mathematical Function: Define desired kinematic input-output relation y = f(x) (e.g. y = x²) over domain [x_0, x_n].
  • Precision Points Allocation: Distribute 3 precision points across interval using Chebyshev spacing to minimize maximum structural error.
  • Freudenstein Kinematic Synthesis: Solve Freudenstein's non-linear loop equations: K₁ cos(φ) - K₂ cos(ψ) + K₃ = cos(ψ - φ) to obtain optimal link ratios.
  • Assembly Mode & Error Check: Toggle between Type 1 (Open) and Type 2 (Crossed) configurations. Inspect structural error curve and download CAD link geometry.

🔍 Detailed Parameter & Angle Dictionary (What Each Input Means):

Target Mathematical Function y = f(x) (e.g. y = x²)

Mathematical relationship mechanically generated between driving crank angle ψ and output rocker angle φ.

Chebyshev Precision Points x₁, x₂, x₃ (Zero Error)

Coordinates where the four-bar linkage output matches the target mathematical curve with exact zero error.

Input Crank Rotation Range Δψ (e.g. 60° → 150°)

Total angular sweep assigned to input independent variable x.

Output Rocker Range Δφ (e.g. 30° → 90°)

Total angular sweep assigned to dependent variable y.

Freudenstein Constants K₁, K₂, K₃

Dimensionless synthesis constants derived from link ratios (K₁ = d/a, K₂ = d/c, K₃ = (a²+c²+d²-b²)/(2ac)).

Structural Error ε = φ_real - φ_ideal

Angular difference between generated rocker position and ideal function. In KineSolver, maximum structural error is kept below 0.02°.

04

Coupler Curve & Path Synthesis (Coupler Path CAE)

● Live 60 FPS Blueprint Simulator • 1280x720 HD
00:00 / 00:15
📺 Official YouTube Tutorial Video Link:

📋 Step-by-Step Synthesis & Workflow Guide:

  • Target Trajectory Points: Enter precision coordinates (P₁ .. P₇) through which the manipulator tip or workpiece gripper must pass.
  • Coupler Triangle Carrier Plate: Define rigid triangular coupler plate (Δ A-C-P) with tracer point P at the specified offset.
  • Non-Linear Optimization: Run kinematic optimizer to compute link lengths that trace the continuous cyan sextic curve through target points with sub-millimeter RMS error.
  • Live Tracing & CNC Export: Verify that tracer point P smoothly glides through all precision nodes along the closed coupler loop. Export AutoCAD DXF toolpath.

🔍 Detailed Parameter & Angle Dictionary (What Each Input Means):

Target Precision Points P₁ .. P₇ (Green Nodes)

Required discrete spatial coordinates specified by designer for pick-and-place, walking machines, or cutting tools.

Coupler Curve (Sextic Curve) Cyan Closed Loop

Continuous algebraic curve of degree 6 traced by coupler tracer point P during full 360° crank rotation.

Coupler Tracer Point Point P (Red Marker)

Working tip on rigid coupler plate carrying tool, gripper, or workpiece.

Coupler Triangle Plate Δ A - C - P (Orange)

Rigid planar plate connecting crank pin A, rocker pin C, and tracer tip P.

Fixed Ground Bearings O₁ and O₂

Chassis-mounted fixed pivot bearings supporting the driving crank and follower rocker arm.

RMS Path Deviation RMS Error ≤ 0.002 mm

Root-mean-square positional discrepancy between generated coupler curve and target precision nodes.

05

Burmester Theory & Four-Position Motion Synthesis (Burmester CAE)

● Live 60 FPS Blueprint Simulator • 1280x720 HD
00:00 / 00:15
📺 Official YouTube Tutorial Video Link:

📋 Step-by-Step Synthesis & Workflow Guide:

  • Four Precision Poses: Define 4 finite coplanar positions and orientations (x_i, y_i, θ_i) [i=1..4] for guided rigid body (e.g. hood hinge or aircraft landing gear).
  • Burmester Cubic Curves: Compute Circle-Point curve (locus of moving pivot points having circular paths) and Center-Point curve (locus of corresponding fixed pivot centers).
  • Optimal Pivot Pair Selection: Select two compatible pivot pairs (M, A) and (Q, B) from curves that ensure acceptable transmission angles and compact link layout.
  • Trajectory Layer Verification: Verify circular arcs for joints A and B, ensure guided point P passes through all 4 target poses. Export CAD assembly.

🔍 Detailed Parameter & Angle Dictionary (What Each Input Means):

Circle-Point Curve (k) Magenta Cubic Curve

Locus of moving points on guided coupler body that lie on a circle across all 4 precision positions.

Center-Point Curve (m) Purple / Blue Curve

Locus of fixed center pivots in base frame corresponding to the circular arcs of circle-points.

Fixed Ground Chassis Pivots M and Q (Ground Frame)

Chassis-mounted pivot centers defining the rotational axes of crank and rocker links.

Moving Coupler Joint Pivots A and B Joints

Articulated joints on coupler body moving along circular arcs centered at M and Q.

Center M Pivot Location Center M (Purple Marker)

Selected Burmester center location defining the primary crank rotational center.

Four Finite Precision Poses Pose 1 .. Pose 4

Specified sequential positions and angular orientations of guided workpiece.