Energy Sink and AFM Design

In this project satiate masses are used to absorb vibrations of a main mass. By optimization of modal energy distribution, optimal satellite mass frequencies are obtained. The multi degree of freedom system is a prototype for energy sink applications. This model provides a proof of concept that a very large masses vibration can be absorbed by attaching a set of tuned or self-tuning small masses. Simulations are performed both with linear and nonlinear spring models. This concept may be utilized for shock absorption, which can provide a dynamic shielding against projectiles or explosives. Basic system looks like this :

Result of linearly distributed satellite frequencies are in following :

After optimizing frequencies displacement of primary is damped as in the following :

Same modal energy optimization technique can be used in reading from multitip atomic microscopy design. Model and equations for single tip atomic force microscope is :

After successfully simulating atomic van der Waals' forces :

Different tip signals on same beam can be isolated using same principle :

This concludes that, fundamental simulations regarding to energy distribution equalization proves that it is possible to optimize natural frequencies of a multi body system to obtain minimal vibration at main mass and distribute energy to satellite masses separately, which also allow us to track satellite movements from main mass (basic idea behind multitip AFM).

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