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Does the model of the adhesive force of double sided sticky under the vibration right?

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Hi, simulating the adhesive force of double sided sticky under the sinusoidal vibration. Two boards are connected by a double-sided adhesive, the upper of them is fixed on a sinusoidal motion shaking table, the other one is suspended. I know the displacement of sinusoidal vibration. Could I build a model such as that: the displacement x=A1sin(2pift), so the acceleration a=-A1(2pif)^2sin(2pif*t) . When the system moves to the lowest point, fixed constrain on the upper board, applyed Boundary Load F=ma( m is Quality of lower board ) to the Lower board, then calculated the stress of the double sided sticky under the Stationary. Is this right?F=ma is right or wrong? If the model is wrong, how build it? Thanks!


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