Interrelation of force and vibrational acceleration

Question

What is the interrelation between force (for sine /random vibration) and vibrational acceleration (for instance, in the case of TV 51120)? For example, we use the shaker stand for side impact on 10 kg tested object. Will the rated force of 200 N be sufficient to produce acceleration 200/10=2 g? Will the rated force be sufficient to provide 20 g value for the vertical testing of 1 kg sample? How do these parameters conform to 89g rated value of the shaker system?  Generally speaking, we have to understand the relation between tests impact force and tested object weight corresponding to the shaker system rated parameters.

Answer

Maximum acceleration depends on the force and tested object weight. The parameters are calculated in accordance with Newton’s second law:

F = m * a

Shaker system maximum acceleration value can be achieved without load – i.e. with empty shaker platform. In the case of test sample the maximum acceleration is calculated by the following formula:

a = F / (m0 + M + m)

where m0 is the weight of shaker system moving stand, m – fixture weight, M – tested object weght. Total fixture and tested object weight should not exceed the weight value specified in shaker system documentation – otherwise shaker system fixture can be damaged and the warranty – withdrawn.

In the case of horyzontal test performance the resistive force will impact the shaker system. Hence, it is necessary to provide reliable fixation of the shaker system as well as to use slide table (can be bought from the manufacturer) in the case if the shaker system configuration implies its use.

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