Inertial Amplification and Dynamic Instability for Enhanced Dynamic Response of Structural Systems

Abstract eng:
An innovative, configurable, adaptable structural building block is presented to achieve the goals of extreme stiffness, extreme damping, and the ability to mitigate transmission of shock and vibration loads. The basic underlying structural topology combines uniquely three main concepts: 1) a topology that enables extreme stiffness and extreme damping to be achieved realistically; 2) a parametric variant of the same topology that engenders low-frequency vibration stop-band response; 3) structurally nonlinear elements of the topology that can adapt the response of the structural element based upon variable loading conditions. The presented structural system combines the concept of inertial amplification, as developed in Ref. 1, with the dynamic instability attributes of the negative stiffness concept pioneered by Rod Lakes, Ref. [2]. The novel combination of these elements enables enhanced dynamic performance of the individual constituents across a challenging range of frequencies and loading conditions. The underlying topology and representative instantiations are presented to demonstrate the viability of the proposed concept. References [1] Yilmaz, C., Hulbert, G.M., and Kikuchi, N., Phononic Band Gaps Induced by Inertial Amplification in Periodic Media, Physical Review B, 76 054309, 2007. [2] Wang, Y.-C., and Lakes, R.S., Extreme stiffness systems due to negative stiffness elements, American Journal of Physics, 72, 40-50, 2004.

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