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

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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