Extra Energy Stability criterion

The Extra Energy Stability criterion is a method for calculating the static stability of non-conservative massless systems, which was proposed by Ingerle in 2013. The classical and the relate to deformed, closely spaced non-trivial equilibrium positions of systems. Since non-conservative systems often have no non-trivial equilibrium positions, these criteria can not be applied to non-conservative static systems. The Extra Energy Stability criterion, as proposed by Ingerle, refers to still undeformed conservative and non-conservative static systems and is argued to be applicable to both types of systems.
Historical background
Since the beginning of the 20th century the notion that non-conservative elastic systems without non-trivial states of equilibrium do not have static stability limits predominates in the scientific discourse on the topic. The commonly employed Euler- and the energy criterion are applicable for cases where non-trivial equilibrium states exist. In 1969 Ingerle demonstrated for the first time that such systems have static stability limits. In the decade after also El Naschie came to a similar conclusion. However, the topic continued to be discussed controversially for the remainder of the 20th century. In 2005 the ongoing discussion surrounding the topic motivated I. Elishakoff to publish a review paper on the subject, listing more than 200 references. With the presentation of a novel static stability criterion by Ingerle in 2013
 
< Prev   Next >