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Master Thesis - Hochschule Bonn-Rhein-Sieg

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6. Evaluating the safety <strong>Master</strong> <strong>Thesis</strong> Björn Ostermann page 104 of 126<br />

Among other values, the EN 13857 [73] gives a maximum height of 120 mm above ground that can be<br />

left free when installing a fence. Thus this value was chosen as the desired value for the programmed<br />

“flexible fence”.<br />

If those 120 mm are applied, the safety distance to the hazard zone has to be 850 mm for the safety of<br />

upper appendages, respectively 1100 mm for the safety of lower appendages.<br />

6.2.2 Safety of machinery – The positioning of protective equipment in respect of<br />

approach speeds of parts of the human body<br />

EN 999:1998<br />

The goal of the project is to safely avoid the collision between robot and humans. When using<br />

protective equipment in this task, in the case of this project the 3D camera combined with the data<br />

evaluating algorithms, safety distances have to be kept to compensate the systems stopping<br />

performance.<br />

The standard EN 999 gives formulas, regarding the positioning of protective equipment in respect of<br />

approach speeds of parts of the human body. Applying those formulas to the present system results in<br />

the necessary safety distance that has to be kept between robot and human at all times.<br />

Critical for the positioning of the protective devices is the overall system stopping performance T<br />

(see Equation 14).<br />

T � t � t<br />

1<br />

Equation 14: Overall system stopping performance, according to [69]<br />

t 1 is the maximum time between the actuation of the sensing function and the output signal switching<br />

devices being in the full state, [69]<br />

t 2 is the maximum response time of the machine, i.e. the time required to stop the machine or remove<br />

the risk after receiving the output signal from the protective equipment. [69]<br />

Since the used 3D camera in this project has a maximum detection capability of below 40 mm in<br />

diameter (20 mm resolution at 4 m distance and 25 mm resolution at 5 m distance, according to [55])<br />

the formula given in chapter 6.1.1 of the standard EN 999 has to be applied to the reaction time<br />

(Equation 15):<br />

2<br />

�K �T<br />

� C<br />

S � �<br />

Equation 15: Minimum distance S from the danger zone to the detection zone [69]<br />

S is the desired distance between the danger zone and the detection zone,<br />

K is a fixed factor:<br />

- 2000 mm/s if S is below or equal to 500 mm

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