الفهرس 
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Abstract
The Auxetic structures have been developed to be used in different application. Regarding the wide of spreading of these structures, different researches have been
developed to study the different static and dynamic characteristics. This thesis presents the numerical and experimental investigation results of the dynamic characteristics for a re-entrant honey comb Auxetic Structure based on its Geometrical parameters. Aluminum is selected as Auxetic structure material. The material structure has been manufactured using laser catting technique to achieve a
high accuracy and quality in the produced dimensions. The study is started by constructing the finite element model to simulate the structure in the static, transient
and modal analysis. These analyses have been performed to obtain the effect of changing the geometrical parameters on the re-entrant structures behavior. Then, an
experimental analysis has been investigated to test and check the accuracy of simulated data. Moreover, the experimental data is used to measure and evaluate the damping properties of the structure compared to the finite element model. The
experimental results was conducted on a vibration analyzer with high precision and low noise to extract the dynamic characteristics. Vibration tests were performed in cantilevered beam using different samples. The resonance frequencies and the damping ratio obtained from experimental and numerical analysis were in close agreement.