Open access peer-reviewed Edited Volume

Inverted Pendulum

Alexandre de Macêdo Wahrhaftig

Federal University of Bahia


Marcelo Araújo da Silva

Federal University of ABC


Critical buckling load Euler column Self-weight Analytical method Equilibrium bifurcation Stiffness Frequencies Computational method Ultimate limit state Serviceability limit state Material behavior Composite materials

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About the book

In the field of analysis, inverted pendulums are characterized by being continuous systems
subjected to the action of axial compression forces. When slender, these elements can reach
an ultimate limit state defined by the loss of their stability, without having yet exhausted the
resistant capacity of their sections. For these systems, the analyzes performed to evaluate the
loss of stability by equilibrium bifurcation should consider both the effects of the existing
distributed and concentrated normal force, as well as the peculiarities of the materials of
which they are constituted, their behavior regarding elasticity, viscoelasticity or even plasticity,
as well as deterioration factors. In this regard, all changes to the material over the life of the
system must be considered. It is important to remember that column buckling was initially
studied in the field of static, in rational mechanics. However, this is essentially a dynamic
phenomenon whose solution is based on stiffness and mass. Whether by static or dynamic
path, analyzes of inverted pendulum need to be done by observing the total stiffness of the
system, which must be composed of all terms of interest. In addition to considerations of loss
of equilibrium, in dynamic analysis it is still possible to obtain frequencies and modes of
vibration, essential characteristics of these systems. In relation to the dynamic aspects,
inverted pendulum is a class of systems widely used as control strategies.

Publishing process

Book initiated and editor appointed

Date completed: November 11th 2019

Applications to edit the book are assessed and a suitable editor is selected, at which point the process begins.

Chapter proposals submitted and reviewed

Deadline Extended: Open for Submissions

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Deadline for full chapters: January 31st 2020

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Review results due: April 20th 2020

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Expected publication date: June 19th 2020

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About the editor

Alexandre de Macêdo Wahrhaftig

Federal University of Bahia

Prof. Alexandre de Macêdo Wahrhaftig has a degree in Civil Engineering (1991), with a Master in Rehabilitation of Historic Heritage from the University of Las Palmas de Gran Canaria, Spain (1995) and PhD in Civil Engineering (Structures) from the Polytechnic School of USP, São Paulo (2008). He has occupied leadership positions in the execution of works and technical services. With regard to the research area, he is mainly engaged in static, dynamic, experimental analysis of structures, having a number of scientific papers published in this field along with one book. He was awarded twice by UFBa for his achievements in the field of innovation and was honored by the Brazilian Association of Civil Engineers.

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Book chapters authored 2

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