Dropping shock characteristics analysis of a cubic nonlinear system with a cantilever beam type elastic critical component with concentrated tip mass

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Journal of Vibration and Shock ›› 2015, Vol. 34 ›› Issue (15) : 162-167.

HAO Meng1，CHEN An-jun1,2

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Abstract

In order to investigate the dropping shock characteristics of cantilever beam critical component with concentrated tip mass, the dynamic models of cubic nonlinear packaging systems were proposed. The Runge-Kutta method and the finite element method were applied to numerical analysis, and the effect of system parameters, such as the value of the concentrated tip mass and the frequency of the main component, is discussed. The case study showed that the maximum dropping displacement and acceleration responses of the critical component occur at its free end, while the maximum internal stress appears at its joint end. The effect of the interaction on the responses of the critical component can be ignored when its value is much less than the main component. With the increase of the value of the concentrated tip mass and/or a higher frequency of the main component, the amplitudes of the responses increase obviously. And, in the packaging design of systems with elastic critical components, the internal stress at the joint end and the relative displacement of the critical component are effective parameters to evaluate whether products are damaged. The results provide theoretical foundation for the package cushioning design of this type systems.

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concentrated tip mass / cantilever beam / critical component / finite element / cubic nonlinear / dropping impact

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HAO Meng1，CHEN An-jun1,2. Dropping shock characteristics analysis of a cubic nonlinear system with a cantilever beam type elastic critical component with concentrated tip mass[J]. Journal of Vibration and Shock, 2015, 34(15): 162-167

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