\r\n\tsubjected to the action of axial compression forces. When slender, these elements can reach
\r\n\tan ultimate limit state defined by the loss of their stability, without having yet exhausted the
\r\n\tresistant capacity of their sections. For these systems, the analyzes performed to evaluate the
\r\n\tloss of stability by equilibrium bifurcation should consider both the effects of the existing
\r\n\tdistributed and concentrated normal force, as well as the peculiarities of the materials of
\r\n\twhich they are constituted, their behavior regarding elasticity, viscoelasticity or even plasticity,
\r\n\tas well as deterioration factors. In this regard, all changes to the material over the life of the
\r\n\tsystem must be considered. It is important to remember that column buckling was initially
\r\n\tstudied in the field of static, in rational mechanics. However, this is essentially a dynamic
\r\n\tphenomenon whose solution is based on stiffness and mass. Whether by static or dynamic
\r\n\tpath, analyzes of inverted pendulum need to be done by observing the total stiffness of the
\r\n\tsystem, which must be composed of all terms of interest. In addition to considerations of loss
\r\n\tof equilibrium, in dynamic analysis it is still possible to obtain frequencies and modes of
\r\n\tvibration, essential characteristics of these systems. In relation to the dynamic aspects,
\r\n\tinverted pendulum is a class of systems widely used as control strategies.
All Works published by IntechOpen prior to October 2011 are licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported license (CC BY-BC-SA 3.0). Works published after October 2011 are licensed under a Creative Commons Attribution 3.0 Unported license (CC BY 3.0), the latter allowing for the broadest possible reuse of published material.
",metaTitle:"Translation Policy",metaDescription:"Translation of Works - Book Chapters",metaKeywords:null,canonicalURL:"/page/translation-policy",contentRaw:'[{"type":"htmlEditorComponent","content":"All Works licensed under CC BY-BC-SA 3.0 can be freely translated and used for non-commercial purposes. Works licensed under CC BY 3.0 license can be freely translated and used for both commercial and non-commercial purposes.
\\n\\nAll translated Chapters have to be properly attributed in accordance with the requirements included in IntechOpen's Attribution Policy. Besides proper attribution translated sections of Works must include the following sentence: "This is an unofficial translation of a work published by IntechOpen. The publisher has not endorsed this translation".
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\n\nAll translated Chapters have to be properly attributed in accordance with the requirements included in IntechOpen's Attribution Policy. Besides proper attribution translated sections of Works must include the following sentence: "This is an unofficial translation of a work published by IntechOpen. The publisher has not endorsed this translation".
\n\nAll rights to Books and other compilations are reserved by IntechOpen. The copyright to Books and other compilations is subject to a Copyright separate from any that exists in the included Works.
\n\nA Book in its entirety, or a significant part of a Book, cannot be translated freely without specific written consent by the publisher. Requests for permission can be made at permissions@intechopen.com.
\n\nPolicy last updated: 2016-06-09
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