VM-WB-MECH-064

VM-WB-MECH-064
Small Deflection of a Belleville Spring

Overview

Reference:

Timoshenko, S. (1956). Strength of Material, Part II: Elementary Theory and Problems (3rd ed., p. 143, problem 2). New York, NY: D. Van Nostrand Co., Inc.

Solver(s):Ansys Mechanical
Analysis Type(s):Static Structural Analysis
Element Type(s):Shell

Test Case

The conical ring shown below represents an element of a Belleville spring. Determine the deflection y produced by a load F per unit length on the inner edge of the ring.

Figure 86: Schematic

Schematic
Schematic

Material PropertiesGeometric PropertiesLoading

E = 30 x 106 psi

ν = 0.0

a = 1 in

b = 1.5 in

t = 0.2 in

β = 7° = 0.12217 rad

Line pressure = -100 lb/in (Y direction)

Results Comparison

ResultsTargetMechanicalError (%)
Directional Deformation Y-direction (in)-0.0028205-0.00292633.751