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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 849Increasing Practical Safety of Von Mises Truss via...

Increasing Practical Safety of Von Mises Truss via Control of Dynamic Escape

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Abstract:

This paper investigates the nonlinear dynamics and stability of the shallow von Mises truss, which is a prototype for buckling analysis of several planar and spatial truss systems and shallow lattice shell structures, including the geodesic dome, and which has a theoretical and practical interest in many engineering fields. These structural systems are liable to limit point instability and may fail at load levels well below the theoretical limit point load due to complex nonlinear phenomena that reduce the safety and the dynamic integrity of the structure; this often occurs as a consequence of the erosion of the basins of attraction of the safe pre-buckling solutions. So, it is vital to increase the safety of the structure in a dynamic environment. In this paper a method for controlling the global nonlinear dynamics of mechanical systems is applied to the shallow von Mises truss. The method consists of the (optimal) elimination of homoclinic intersection by properly adding superharmonic terms to a given harmonic excitation. By means of the solution of an appropriate optimization problem, it is possible to select the amplitudes and the phases of the added superharmonics in such a way that the manifolds distance is as large as possible. This methodology is here applied to increase the integrity of the basins of attraction of the system and consequently its practical safety.

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Periodical:

Applied Mechanics and Materials (Volume 849)

Pages:

46-56

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.849.46

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Online since:

August 2016

Authors:

Diego Orlando, Paulo Batista Gonçalves*, Stefano Lenci, Giuseppe Rega

Keywords:

Dynamic Instability, Escape Control, Nonlinear Vibrations, Von Mises Truss

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© 2016 Trans Tech Publications Ltd. All Rights Reserved

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