By Charles M. Bergren
This paintings seems to be below the hood of all robot tasks, stimulating lecturers, scholars, and hobbyists to profit extra in regards to the gamut of parts linked to keep an eye on structures and robotics. It bargains a distinct presentation in delivering either idea and philosophy in a technical but enjoyable approach.
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They don’t seem as bumpy if the weight is moving faster, but if the weight slows to a crawl, the speed bumps are painful to go over. We’ve all experienced static friction before. Often, it takes an extra heave-ho to start pushing something, and a bit less effort to keep it going. Just be aware that system behavior won’t precisely follow the model if B is greater when the mass is at rest. html. ii. The coefficient of friction B can be measured in two ways: Force conversion: Take a spring with a known spring constant K and use it to pull the weight at a constant velocity dx/dt across the friction surface.
Since the actuator cannot respond right away, output signal d would not change right away. The error signal b would reflect our wild inputs. The actuator input would see a wildly fluctuating input as well. If our input signals fluctuated somewhere near the natural frequency, v, of the sytem, the output might actually ring out of phase with the input signal. This is exactly what happens when we oversteer a car. A car’s suspension can be modeled as a second order system where: ■ ■ ■ The mass is represented by the car itself.
2 0 0 2 4 6 8 10 Time t FIGURE 2-17 The second-order system responds differently as the frequency is varied. ■ Response time Take a look at Figure 2-17 entitled Varying Frequency Only. It was made holding the damping parameter d constant and varying the frequency v (we’ll get into how to do that soon). The point is, the curves rise toward the final value of 1 at varying speeds. A few ways are available for measuring the response time, including ■ Time from 0 to first crossing of 1 ■ Time from 0 to first peak overshoot (the maximum value) The system has a different response time for different values of damping.