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Numerical analysis of an auxetic anti-tetrachiral sandwich panel subjected to steady-state harmonic base motion

Michalski Jakub, Stręk Tomasz

Vibrations in Physical Systems

2022

Vol. 33, nr 3

art. no. 2022323

In this paper, the authors show the results of numerical simulations representing the test of an aluminum sandwich panel with an auxetic anti-tetrachiral core on an exciter. Steady-state vibration analyses utilizing modal superposition (linear dynamics) were performed. The bottom of the panel had all the degrees of freedom constrained and excitation in form of base acceleration in the vertical direction was applied. The obtained results were in form of contour plots of selected output variables in the frequency domain. In addition, curves showing the variation of acceleration, velocity and displacement of a selected representative point in frequency were generated. The results were compared with those obtained for the panel with a non-auxetic core, in the form of a standard hexagonal honeycomb. It was found that the auxetic panel is not superior in the whole range of frequencies but a workflow useful in the design of sandwich panels for operating conditions involving vibrations was developed.

Remodelling of vibrating systems via frequency-domain-based virtual distortion method

Mróz M., Holnicki-Szulc J.

Mechanics / AGH University of Science and Technology

2005

Vol. 24, no. 2

124-129

The paper deals with Virtual Distortion Method (VDM) in frequency domain. VDM method is addressed to problems, where steady state response can be the base of the dynamical analysis. The VDM methodology allows fast modification of the original structures without need of modifications of their stiffness, damping and mass matrices. The present work contains the methodology of the new approach, some numerical results of computations and optimization problem. Finally the analysis of sensibility is formulated.

Niniejszy artykuł zajmuje się Metodą Dystorsji Wirtualnych (MDW) w dziedzinie częstotliwości. MDW odnosi się do problemów dynamicznych, w których odpowiedź jest ustalona w czasie. MDW pozwala na szybką modyfikację konstrukcji bez konieczności modyfikacji całej macierzy sztywności, tłumienia czy masy. Praca zawiera sformułowanie nowego podejścia, wyniki obliczeń numerycznych, a także sformułowanie problemu optymalizacji i wrażliwości konstrukcji dla nowego podejścia.