Examining the energy loss in the Inverted Pendulum Model for rocking bodies
Understanding of the mechanisms that may lead to failure of rocking bodies is of significant importance to quantifying and minimizing the associated risk. The most common model to describe the rocking problem is the Inverted Pendulum model (IPM) proposed by Housner in 1963, which has been followe...
| Main Authors: | , , |
|---|---|
| Format: | Journal article |
| Published: |
American Society of Civil Engineers
2017
|
| _version_ | 1797076770970664960 |
|---|---|
| author | Chatzis, M Garcia Espinosa, M Smyth, A |
| author_facet | Chatzis, M Garcia Espinosa, M Smyth, A |
| author_sort | Chatzis, M |
| collection | OXFORD |
| description | Understanding of the mechanisms that may lead to failure of rocking bodies is of significant importance to quantifying and minimizing the associated risk. The most common model to describe the rocking problem is the Inverted Pendulum model (IPM) proposed by Housner in 1963, which has been followed by multiple researchers. It is often claimed that the IPM is an acceptable model if behaviors such sliding, uplifting, deformability and the three-dimensional nature of the response can be restrained mechanically. However, even in a suitably chosen case where the previous may indeed have a minimal effect in the response, there are still uncertainties with regard to the assumption introduced in the IPM of how energy is lost during impacts. This paper deals with this assumption and investigates the effects in the stability of rocking bodies. The effect of this assumption is discussed showing that the associated uncertainty propagates to the conclusion of whether a rocking body would survive or fail when subjected to a ground excitation. A method that quantifies this uncertainty by making use of a dynamic property of the rocking system is introduced. |
| first_indexed | 2024-03-07T00:08:32Z |
| format | Journal article |
| id | oxford-uuid:78679ef3-d6e3-47fe-b9ce-b5fe3428bdf2 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T00:08:32Z |
| publishDate | 2017 |
| publisher | American Society of Civil Engineers |
| record_format | dspace |
| spelling | oxford-uuid:78679ef3-d6e3-47fe-b9ce-b5fe3428bdf22022-03-26T20:30:31ZExamining the energy loss in the Inverted Pendulum Model for rocking bodiesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:78679ef3-d6e3-47fe-b9ce-b5fe3428bdf2Symplectic Elements at OxfordAmerican Society of Civil Engineers2017Chatzis, MGarcia Espinosa, MSmyth, AUnderstanding of the mechanisms that may lead to failure of rocking bodies is of significant importance to quantifying and minimizing the associated risk. The most common model to describe the rocking problem is the Inverted Pendulum model (IPM) proposed by Housner in 1963, which has been followed by multiple researchers. It is often claimed that the IPM is an acceptable model if behaviors such sliding, uplifting, deformability and the three-dimensional nature of the response can be restrained mechanically. However, even in a suitably chosen case where the previous may indeed have a minimal effect in the response, there are still uncertainties with regard to the assumption introduced in the IPM of how energy is lost during impacts. This paper deals with this assumption and investigates the effects in the stability of rocking bodies. The effect of this assumption is discussed showing that the associated uncertainty propagates to the conclusion of whether a rocking body would survive or fail when subjected to a ground excitation. A method that quantifies this uncertainty by making use of a dynamic property of the rocking system is introduced. |
| spellingShingle | Chatzis, M Garcia Espinosa, M Smyth, A Examining the energy loss in the Inverted Pendulum Model for rocking bodies |
| title | Examining the energy loss in the Inverted Pendulum Model for rocking bodies |
| title_full | Examining the energy loss in the Inverted Pendulum Model for rocking bodies |
| title_fullStr | Examining the energy loss in the Inverted Pendulum Model for rocking bodies |
| title_full_unstemmed | Examining the energy loss in the Inverted Pendulum Model for rocking bodies |
| title_short | Examining the energy loss in the Inverted Pendulum Model for rocking bodies |
| title_sort | examining the energy loss in the inverted pendulum model for rocking bodies |
| work_keys_str_mv | AT chatzism examiningtheenergylossintheinvertedpendulummodelforrockingbodies AT garciaespinosam examiningtheenergylossintheinvertedpendulummodelforrockingbodies AT smytha examiningtheenergylossintheinvertedpendulummodelforrockingbodies |