Fundamental Principles and Mechanical Properties
Torsion springs are elastic components that store and release mechanical energy by applying torque around an axis. Their working principle is based on torsion theory in material mechanics, with key characteristics including:
- Torque Constant: 0.01-500N·m/rad, representing torque required per unit angular deformation
- Initial Angle: Angle between arms in free state, typically 0-90°
- Working Angle: ±30° to ±720°, depending on design and material
- Energy Density: 0.1-10J per cubic centimeter
Torque-Angle Relationship: Within elastic limits follows the formula:
T = kθ + T0
Where T is torque (N·m), k is torsional stiffness (N·m/rad), θ is twist angle (rad), T0 is initial torque
Structural Design and Geometric Parameters
Basic Parameter Definitions:
- Wire Diameter (d): 0.2-20mm, determines load capacity
- Mean Diameter (D): Average coil diameter, typically 4-20 times wire diameter
- Active Coils (N): Coils participating in elastic deformation, typically 2-30 coils
- Arm Length (L): Distance from spring body to end contact point
- Helix Direction: Left-hand or right-hand, affects installation orientation
End Types:
- Straight Arm: Simplest form, low manufacturing cost
- Short Hook: Suitable for small angle torsion
- Long Arm: Provides greater torque and more precise control
- Special Angle Arm: Meets specific installation requirements
- Double Torsion Spring: Fixed in middle, torsion at both ends
Manufacturing Process
1. Material Preparation
- Wire straightening: Precision ±0.02mm/m
- Surface treatment: Remove oxide layers and oil
2. Cold Coiling
- Special torsion spring coiling machines
- Angle control precision: ±1°
3. End Forming
- Mechanical arm bending or special die forming
- Arm length tolerance: ±0.5mm
4. Heat Treatment
- Stress relief: 350-450°C, 1-2 hours
- Quenching + Tempering (for high strength springs)
Material Property Comparison
Material |
Shear Modulus (GPa) |
Allowable Stress (MPa) |
Fatigue Life |
High Carbon Steel (SAE 1070) |
79 |
900-1200 |
10⁵-10⁶ cycles |
302 Stainless Steel |
69 |
600-800 |
10⁴-10⁵ cycles |
Chrome Silicon Steel |
80 |
1100-1400 |
10⁶-10⁷ cycles |
Beryllium Copper |
48 |
500-700 |
10⁵-10⁶ cycles |
Special Environment Materials:
- High Temperature (>300°C): Inconel X-750
- Corrosive Environment: 17-7PH Stainless Steel
- Non-Magnetic Applications: Phosphor Bronze
Engineering Calculations and Design Formulas
1. Stiffness Calculation
k = (E × d⁴) / (10.8 × D × N)
E: Elastic modulus; d: Wire diameter; D: Mean diameter; N: Active coils
2. Stress Verification
τ = (16 × T × Kw) / (π × d³) ≤ τallow
Kw: Wahl correction factor (1.1-1.3); τallow: Material allowable stress
3. Fatigue Life Estimation
Nf = (τa/τe)-b
τa: Stress amplitude; τe: Endurance limit; b: Material constant (6-12)
Industry Applications and Technical Standards
Automotive Industry (SAE J112 Standard)
- Clutch pedal: 3-15N·m torque, ≥500,000 cycles
- Throttle return mechanism: 30-60° angle range, ±1° precision
Home Appliance Industry (IEC 60335 Standard)
- Washing machine door lock: 0.5-3N·m torque, corrosion resistant
- Refrigerator door hinge: >100,000 cycles
Industrial Equipment (DIN 2097 Standard)
- Valve actuators: High precision angle control
- Safety interlocks: Breaking torque ≥3× working torque
Installation and Maintenance Guidelines
Installation Specifications:
- Pre-torsion angle ≤20% of free angle
- Installation shaft diameter should be 90-95% of spring inner diameter
- Avoid direct clamping of spring body with pliers
Lubrication Recommendations:
- Normal environment: Molybdenum disulfide lubricant, replenish every 12 months
- High temperature: Graphite lubricant, inspect every 6 months
- Food grade: NSF H1 certified lubricants
Life Prediction:
L10 = (C/P)10/3 × 10⁶ cycles
C: Rated dynamic torque; P: Equivalent dynamic torque