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Elastomeric Suspension Silentblock Bushing: 3D Finite-Strain Mooney–Rivlin Hyperelasticity under Radial Loading
Automotive elastomeric suspension bushing with inner steel sleeve and outer mounting collars modeled via 3D Total Lagrangian Mooney–Rivlin hyperelasticity under high radial shear and compression.
Suspension silentblock bushings isolate high-frequency road vibrations while transmitting large chassis forces under finite strains where linear elasticity is inapplicable. This model features an elastomer sleeve (Ø60 × 40 mm) vulcanized between rigid outer steel collars and an inner mounting sleeve bore (radius 10 mm). Solved with WebCAE's native Total Lagrangian Mooney–Rivlin formulation, the bushing undergoes a 2,500 N radial chassis load, capturing realistic rubber hardening and shear stress concentrations.
1. Geometry & FEA Mesh
- •3D B-Rep CAD geometry (`silentblock_bushing.step`, 8 CAD faces, 60 × 60 × 40 mm).
- •1,485 4-node tetrahedral elements (TET4), 513 nodes, 1,539 translational DOFs.
- •Elastomer Shore 55A: Mooney–Rivlin parameters c₁₀ = 1.2 MPa, c₀₁ = 0.3 MPa, bulk modulus κ = 20 MPa, density ρ = 1,150 kg/m³.
2. Loads & Boundary Conditions
- •Outer mounting collars fully fixed across all DOFs (`fix surface number 28 and surface number 32`, z in [0, 4] and [36, 40] mm).
- •Radial chassis force of F_x = 2,500 N applied to the inner sleeve bore (`load surface number 34 force=2500 component=x`).
- •Solved across 5 incremental load steps with quadratic convergence tolerance 1e-5.
3. Simulation Results & Findings
- ✓Full 2,500 N radial load achieved in 5 increments and 14 Newton–Raphson iterations with smooth monotonic convergence.
- ✓Maximum radial deflection of the inner sleeve reaches |u|_max = 12.34 mm, confirming progressive stiffness stiffening.
- ✓Peak Cauchy von Mises stress reaches 4.55 MPa localized at the inner sleeve fillet transition zone.
WebCAE's native Mooney–Rivlin hyperelastic solver allows automotive suspension engineers to evaluate bushing deflection, non-linear progressive stiffness curves, and stress hot spots without expensive physical prototypes.
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