Finite Strain Ring Dynamical Model for Pneumatic Tires (Final Report, May 1992-May 1993)

摘要

In this report, using the most general 'plane sections remain plane' rod theoryand the continuum mechanics approach, the exact strain expressions for a shearable, extensible ring are derived. These expressions are non linear in terms of both the displacements and the geometry of the ring and are Taylor series approximated after their derivation. A linear viscoelastic stress-strain relationship is assumed. The radial stress is considered negligible. The model includes extension of the neutral axis, transverse shear deformation and the full complement of inertial forces created by rotation of the ring. A pretensioning force due to pressurizing the tire is included. The tire sidewall (viscoelastic foundation), is considered to act in a completely radial direction. The equations of motion are developed from the free body and inertial force diagrams of a differential element. The membrane forces and bending moment are then substituted to yield three non linear equations of motion. The equations of motion are then put into matrix form with the linear and non linear portions separated. Chapters 3 and 4 study linear wave propagation, while Chapter 5 provides verifying comparison examples with existing finite element codes, as well as a numerical example for the KC-135 transport aircraft tire.... Tire, Ring, Non linear strain, Transverse shear.