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smart technologies for safety engineering

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Dynamic Load Monitoring 119<br />

Figure 4.16 Mass identification in the second phase of the impact (<strong>for</strong>ce and acceleration approach).<br />

Acceleration measured on: (left) piston rod of the gas spring; (right) falling mass<br />

mass (instead of the piston rod) is feasible only when joint movement of the body and the piston<br />

occurs. In the case of the analysed structure it happened first 80 ms from the very beginning of<br />

the impact process. Notice that the identification is not possible with the accelerometer sensor<br />

located on the falling mass, since <strong>for</strong> integration the initial condition is required. In the case of<br />

the piston rod it is zero, while in the case of the falling body it is exactly the impact velocity<br />

being sought.<br />

4.1.6.3 Approaches Based on The Conservation of Momentum<br />

Verification of the momentum conservation approach <strong>for</strong> mass identification was per<strong>for</strong>med<br />

on the basis of Equation (6), which uses the restitution coefficient, and Equation (7), which is<br />

based directly on the principle of conservation of momentum during the first contact impulse.<br />

Figure 4.17 Velocity identification: integrated accelerations and differentiated displacements of piston<br />

rod – an example

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