Question

How to calculate orientation of car for viven velocity and steering angle?

Answer 1

Answer:

The steer angle (SA) required to make a turn with no consideration for tire slip angle is shown in Equation 4. If you use the equation the different steer angle inside and outside are calculated by simply increasing the radius (R) by the track width (t) for the outside wheel.

Explanation:

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Answer 2

Steering angle, θ

The steering angle, θ, is another factor that affects the beamforming. The beamforming at 0, 30, 60, 90, 120, and 150 degrees of an eight-element array is shown in Fig. 10.6. First, we notice that the beamforming is symmetric at about 90 degrees. Second, within the 0–90 degree range, the beamforming loses its directionality at small angles such as 0 and 30 degrees. However, going from 0 to 30 degrees, we notice that the directionality starts improving. Lastly, when θ increases, the directionality is improved with side lobes being suppressed (comparing 30 degrees with 60 and 90 degrees).

indicates the beamforming for a 16-element array. Compared to the beamforming of an eight-element array, the beamforming of a 16-element array (Fig. 10.7) shows better directionality. At larger angles such as 60 and 90 degrees, we notice a thinner and more directional main lobe. The main lobe directionality is maintained even at smaller angles, eg, at 30 degrees. At 30 degrees, the beamforming of a 16-element array still keeps the directionality (this directionality starts to diminish only at angles below 20 degrees). In summary, we say that our simulation studies have shown that well-behaved directional beamforming can be achieved with judicious array design. In order to have good directionality in a larger angular range, a large number of sensors is desired.