Free vibration of a pneumatic tire-wheel unit using a ring on an elastic foundation and a finite element model

Kung, L.E.; Soedel, W.; Yang, T. Y.

doi:10.1016/0022-460x(86)90231-2

Cited by 46 publications

(8 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In previous works [9][10][11], a ring model has been used to analyze the dynamic characteristics of tires. The ring is represented in cylindrical coordinates and two reference systems can be used to express its dynamic behavior.…”

Section: Transfer Function Of a Rotating Flexible Ring In Global Coormentioning

confidence: 99%

A modified complex modal testing technique for a rotating tire with a flexible ring model

Lee

Wang

Pluymers

et al. 2015

Mechanical Systems and Signal Processing

View full text Add to dashboard Cite

Section: Transfer Function Of a Rotating Flexible Ring In Global Coormentioning

confidence: 99%

A modified complex modal testing technique for a rotating tire with a flexible ring model

Lee

Wang

Pluymers

et al. 2015

Mechanical Systems and Signal Processing

View full text Add to dashboard Cite

“…A simplified version of the equations of motion is presented by Kung in [32]. The non linear terms P 0 R 2u θ and − P 0 R (2u r − u θ ) are omitted from the eqn.…”

Section: Simplificationsmentioning

confidence: 99%

“…A finite element tyre model was developed in [33], resulting from revolution of an axisymmetric thin shell. This model was used for modal behaviour prediction in [32,34]. A non-linear sidewall element is described in [35], while a model focused on the simulation of the contact is presented in [36].…”

Section: Discretized Tyre Modelling Approachmentioning

confidence: 99%

The simulation of in-plane tyre modal behaviour: a broad modal range comparison between analytical and discretised modelling approaches

Tsotras

Mavros

2009

Vehicle System Dynamics

View full text Add to dashboard Cite

“…5 Considering all these effects, Gardner and Bert 6 theoretically and experimentally investigated the vibration of shear deformable rings. Kung et al 7 investigated the effects of laminate composite materials. In 1988, a constant initial stress due to the radially distributed pressure on peripheries was first incorporated into the in-plane ring vibration model by Lin and Soedel.…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional vibration of a ring with a noncircular cross-section on an elastic foundation

Liu

Zhou

Oertel

et al. 2017

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

The three-dimensional dynamic equations of a ring with a noncircular cross-section on an elastic foundation are obtained using the Hamilton variation principle. In contrast to the previous rings on elastic foundation model, the developed model incorporates both the in-plane and out-of-plane bend and the out-of-plane torsion in displacement fields. The errors in the derivation of the initial stress and the work of the internal pressure in previous rings on elastic foundation models have been corrected. The mode expansion was used to obtain the analytical solution of the natural frequency. The initial motivation is to develop a theoretical model for car tire dynamics. Therefore, to validate the proposed model, the in-plane and out-of-plane vibrations of a truck tire have been analyzed using the proposed method. To further verify the accuracy of the model, the results of the theoretical formula are compared with the finite element analysis and modal test, and good agreement can be found.

show abstract

Free vibration of a pneumatic tire-wheel unit using a ring on an elastic foundation and a finite element model

Cited by 46 publications

References 7 publications

A modified complex modal testing technique for a rotating tire with a flexible ring model

A modified complex modal testing technique for a rotating tire with a flexible ring model

The simulation of in-plane tyre modal behaviour: a broad modal range comparison between analytical and discretised modelling approaches

Three-dimensional vibration of a ring with a noncircular cross-section on an elastic foundation

Contact Info

Product

Resources

About