Challenge

  • Design a lightweight, efficient transmission to lift a 10kg weight on a lever by 10 cm using a maximum vertical mass drop of 2m.
  • Minimize system mass and mass drop while maintaining structural integrity and mechanical efficiency

Action

  • Transmission Design: Developed a two-stage gear system with two capstans to optimize force output and lever-lifting distance
    • Performed inverse analysis and free body diagram calculations to determine gear ratios, torque requirements, and capstan radii
    • Selected acetal gears for first stage and PLA 3D-printed gears for the second stage due to strength, mass efficiency, and manufacturability
    • Implemented MATLAB script to iterate face width, pitch, and gear teeth for optimized gear strength and torque output

Gear Transmission and Capstan Layout
Gear layout showing two-stage transmission and capstan arrangement

  • Capstan Design: Two PLA capstans with optimized radii (0.258’’ input, 0.163’’ output) to maintain 19:1 total transmission ratio
    • Tapered geometry guides string toward the middle to reduce slipping and tension loss
    • Validated using FEA, ensuring sufficient factor of safety under lever-lifting loads (up to 200 N)

Capstan FEA
FEA of output capstan under lever-lifting load

  • Acrylic Support Structure: Mass-optimized 30 cm high laser-cut acrylic frame
    • Designed extended bottom leg and horizontal support beams to prevent tipping and bending
    • Central vertical beam in compression, right vertical beam in tension; fillets increased to reduce stress concentration
    • FEA confirmed stress distribution and stability under applied loads

Acrylic Support Structure
Laser-cut acrylic support structure with horizontal and vertical stabilizing beams

  • Component Selection:
    • Shafts: 12L14 carbon steel, 3/16’’ and 5/16’’ diameters for strength and cost efficiency
    • Bearings: Stainless steel flanged ball bearings, selected for dynamic load capacity and smooth rotation
    • Kevlar Strings: Matched breaking strength to input/output loads, achieving safety factors of 2.9 (output) and 18 (input)
    • Shaft collars to prevent axial movement and account for non-orthogonal loads

Result

  • Built a functional lever-lifting transmission system with a 19:1 total gear ratio, achieving 10 cm lift with 2 kg mass drop

Acrylic Support Structure
10 cm lever lift through the transmission system

  • Validated structural integrity and mechanical efficiency through FEA, component analysis, and experimental testing
  • Optimized mass, cost, and complexity by using two-stage transmission and lightweight materials
  • One of four out of fifteen teams to achieve the required lift height