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Further research on motion control of a 4WS4WD path-following vehicle is carried out in this paper. Focuses are placed on understanding and testing the vehicle path-following control models developed previously at a deep level. Control models are in relation to parameters introduced, and the effects of these parameters are discovered. Control models are interpreted by dynamic simulation using a 3DOF vehicle model with three cases. Three kinds of planned paths are considered in these cases to test control performances, which include the straight, circular, and sinusoidal paths. Interesting dynamic results are obtained and analyzed qualitatively, e.g., various steering modes. Simulation studies are extended with consideration of a fine vehicle dynamic model established in CarSim and a complex path composed of straight and curved segments. Control models are examined in a complex problem, and results obtained show that they are validated with robustness in dynamic environment. [ABSTRACT FROM AUTHOR]

• An analytical dynamic model for an acoustic black hole beam attached with a dynamic vibration absorber is proposed. • The mechanism of how the combination of ABH beam and DVA would obtain excellent vibration reduction effects is explained. • The focusing property of an ABH beam is discussed by using a new quantitative index, called focusing ratio, which is different from other indexes of energy focusing. • The attached position of a DVA is proved to have significant effects on vibration reduction. Acoustic Black Holes (ABHs) have attracted much attention in recent years due to their characteristics of focusing vibration energy. Combining the focusing property of an ABH in a wide frequency band with the advantage of a dynamic vibration absorber (DVA), which could effectively suppress the vibration response at any tuning frequency, is expected to achieve excellent effective wide-band vibration reduction. However, the underlying mechanism and design method have not been provided by any existing open literature. In this work, the analytical dynamic model of a beam with an integrated one-dimensional ABH and a DVA (ABH+DVA) is established based on the transfer matrix method. The vibration attenuation of this ABH+DVA beam is investigated through this analytical model. Results demonstrate that, in comparison to a uniform-thickness beam with DVA and ABH beam with a damp layer in certain situations, the ABH+DVA beam provides superior vibration attenuation. Furthermore, the concept of region-specific vibration focusing ratio is proposed and defined to quantify the influence of ABH characteristic length on the focusing effect and focusing area of the ABH beam. Then based on the knowledge of focusing effect of the ABH beam, the influence of DVA placement on vibration reduction effect is studied and the mechanisms of the ABH beam attached with DVA are explained. Generally, the excellent vibration reduction effect of the ABH+DVA beam is closely related to the outstanding vibration focusing characteristic of an ABH beam. [ABSTRACT FROM AUTHOR]