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BULETINUL INSTITUTULUI POLITEHNIC DIN IAŞI - Universitatea ...

BULETINUL INSTITUTULUI POLITEHNIC DIN IAŞI - Universitatea ...

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Bul. Inst. Polit. Iaşi, t. LVI (LX), f. 2, 2010 119<br />

2.2. Generalities<br />

The pneumatic muscles have many characteristics that make them being<br />

easy to use and with great performances. Some of these characteristics are:<br />

shock - absorbing, adjustability, simulating capability, storage capable,<br />

safeness, lightweight, natural compliance and shock resistance.<br />

Favourable response to commands, known as compliance is in direct<br />

relation to air compressibility, and hence the pneumatic muscle can be<br />

influenced by controlling/adjusting the command pressure.<br />

The function principle consists in the fact that, under the action of<br />

compressed air, the pneumatic muscle, which is blocked at one end, shortens its<br />

lengths and expands its diameter. As the volume of the internal tube increases<br />

due to the increase in pressure, the actuator shortens with a certain stroke.<br />

Pneumatic muscle construction is based on an interior tube, made from<br />

neoprene rubber wrapped in braided sleeves made of nylon with strengthening<br />

and protecting role. The braided sleeves act to constrain the expansion for<br />

maintaining the cylindrical shape. As we can see in the figure 1, the angle of the<br />

enveloping tissue, denoted by α, is one in relaxed state and differs in contracted<br />

state. It has the value of 25.4º in the relaxed state of the muscle and of 54.7º at<br />

maximum contraction. [4]<br />

In Fig. 2 is presented the working principle of a pneumatic muscle.<br />

Fig. 2 – Working principle of a Fig. 3 – Dependence of the force on the<br />

pneumatic muscle envelope angle and on the working pressure [7]<br />

(1)<br />

The force F developed by pneumatic muscle is given by Eq. (1) [4].<br />

π<br />

= ⋅ ⋅<br />

4 d p F<br />

2<br />

⎡ 2<br />

3⋅<br />

cos α − 1⎤<br />

⋅ ⎢ 2 ⎥<br />

⎢⎣<br />

1 − cos α ⎥⎦<br />

,<br />

where p is the working pressure and d the interior diameter of the pneumatic<br />

muscle. Upon completion of the maximum stroke the developed force is equal<br />

to zero. Equation (1) allows plotting of the graph featuring the force developed

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