A shell model for tyre belt vibrations

A finite strip for the vibration analysis of rotating cylindrical shells

“…Substituting the assumed displacement functions (17) into (10) and integrating Eq. (27) over the circumference ?, the strain energy is obtained in the form where (29) and (30) The strain energy (28) is time invariant. This is due to the fact that the rotating modes are characterised by fixed profiles which only rotate along the circumference.…”

“…In fact, it is often the case that axisymmetric shells rotate around the axis of symmetry [16][17][18][19][20][21][22][24][25][26][27][28][29][30]. Rotating shells of revolution are found in engineering practice in rotor systems of gas turbine engines, high-speed centrifugal separators, rotating satellite structures, automotive tyres, etc.…”

“…As a result, with spinning shells the modes rotate independently. For example, this phenomenon comes about with tyres rolling over the road surface [25][26][27][28][29]. This significantly influences the overall NVH (Noise and Vibration Harshness) characteristics of the vehicle.…”

“…For example, although it is very instructive to investigate the dynamics of rotating tyres assuming simply supported edges of a tyre tread-band [24,30,31], it is difficult to accept, from an engineering point of view, that the tyre sidewall is infinitely stiff in radial or tangential directions [28,29].…”

Sophisticated finite strip for vibration analysis of a rotating cylindrical shell

“…It is often the case that axisymmetric shells rotate around the axis of symmetry [14][15][16][17][18][19][20][21][22][23][24][25][26][27]. For example, rotating shells of revolution are found in engineering practice in rotor systems of gas turbine engines, highspeed centrifugal separators, rotating satellite structures, and automotive tires.…”