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Eigenfrequencies Invariance Properties in Deformable Flexion-Torsion Loaded Bodies -2- The Compliant Case

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Emergent Properties in Natural and Artificial Dynamical Systems

Part of the book series: Understanding Complex Systems ((UCS))

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Abstract

We present here in the framework of resonnant behaviours, eigenfrequencies invariance properties for compliant loaded flexural and torsional deformable bodies. We will see that compliant behaviours create a new order on the system which leads to a large invariance property in the (ωN × mN × λ0) space. As in the preceeding paper the notion of preload condition can be used and we see that compliance diminishes drastically the preload condition.

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References

  1. W.J. Book (1984) "New concepts in leightweight arms", Proceedings of the 2nd International Symposium on Robotics research, Kyoto, Japan, 203–205

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  2. R.W. Clough and J. Penzien (1975) "Dynamics of structures", Mc Graw Hill, New York

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© 2006 Springer

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Rouff, M., Lakhdari, Z., Makany, P. (2006). Eigenfrequencies Invariance Properties in Deformable Flexion-Torsion Loaded Bodies -2- The Compliant Case. In: Aziz-Alaoui, M., Bertelle, C. (eds) Emergent Properties in Natural and Artificial Dynamical Systems. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-34824-7_16

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