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User Jean Lerbet
title Geometric degree of Nonconservativity
Authors Jean Lerbet, Marwa Aldowaji, Noël Challamel, Oleg N. Kirillov, François Nicot and Félix Darve
Source Mathematics and Mechanics of Complex Systems
Year 2014
Type Journal

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Abstract This paper deals with nonconservative mechanical systems subjected to nonconservative positional forces leading to nonsymmetric tangential stiffness matrices. The geometric degree of nonconservativity of such systems is then defined as the minimal number ℓ of kinematic constraints necessary to convert the initial system into a conservative one. Finding this number and describing the set of corresponding kinematic constraints is reduced to a linear algebra problem. This index ℓ of nonconservativity is the half of the rank of the skew-symmetric part Ka of the stiffness matrix K that is always an even number. The set of constraints is extracted from the eigenspaces of the symmetric matrix K2a. Several examples including the well-known Ziegler column illustrate the results.

Link 10.2140/memocs.2014.2.123
author = {Lerbet, Jean and Aldowaji, Marwa and Challamel, No{\"e}l and Kirillov,
Oleg N. and Nicot, Fran{\c c}ois and Darve, F{\'e}lix},
title = {{Geometric degree of non conservativity}},
journal = {{Mathematics and Mechanics of Complex Systems}},
year = {2014},
volume = {2},
pages = {123--139},
number = {2},
doi = {10.2140/memocs.2014.2.123},
hal_id = {hal-00841269},
hal_version = {v1},
keywords = {nonconservative system ; linear algebra},
url = {https://hal.archives-ouvertes.fr/hal-00841269}

Created Saturday 18 October, 2014 19:38:51

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