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In tire development, the dynamic tire-road contact forces are an important indicator to assess structure-borne interior cabin noise. This type of noise is the dominant source in the frequency range from 50-450 Hz, especially when rolling with constant angular velocity on a rough road. The spatial force distribution is difficult or sometimes even impossible to simulate or measure in practice. So, the use of an inverse technique is proposed. This technique uses response measurements in combination with a digital twin simulation model to obtain the input forces in an inverse way. The responses and model properties are expressed in the time domain, since it is specifically aimed to trace back the impact locations from road surface texture indents on the tire. In order to do so, the transient responses of the travelling waves as a result of these impacts is used. The framework expresses responses as a convolution product of the unknown loads and impulse response measurements.

In current practice, tire development and testing are typically experimentally driven. However, as the need to simultaneously optimize multiple noise vibration and harshness (NVH) performance criteria increases and development cycles become shorter, predictive numerical simulation techniques are becoming necessary. In addition, many tire performance areas are coupled and therefore the experimental approach often lacks detailed insights which numerical simulations can provide. Currently, no industrially applicable fully predictive high-fidelity numerical approach that incorporates the use of nonlinear Finite Element (FE) tire models for NVH design is available in literature. Therefore, a fully predictive numerical simulation approach that predicts the rolling of a tire over a coarse road surface is described in this work. The proposed approach allows to predict the dynamic contact- and hub forces that arise during rolling without the need for experimental data.

This paper proposes a specific parametric model order reduction (pMOR) scheme for the efficient evaluation of beam based structures. The model to be parameterized is a Finite Element (FE) model that represents a generic network of beams with a number of distinct cross-section types. The methodology considers geometrical parameters that describe the cross-section and the material properties of the beams as the design parameters of interest. An affine representation of the model is derived based on the description of the deformation of a uniform beam. This affine representation can be exploited for the hyper-reduction where the evaluation cost of the system matrices is reduced. The reduction of the system matrices is obtained through a projection based approach. For a given number of parameter combinations a modal basis is constructed. A global reduced order basis (ROB) is obtained through a principal component analysis of these local bases.