<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>1405-7743</journal-id>
<journal-title><![CDATA[Ingeniería, investigación y tecnología]]></journal-title>
<abbrev-journal-title><![CDATA[Ing. invest. y tecnol.]]></abbrev-journal-title>
<issn>1405-7743</issn>
<publisher>
<publisher-name><![CDATA[Universidad Nacional Autónoma de México, Facultad de Ingeniería]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1405-77432019000100009</article-id>
<article-id pub-id-type="doi">10.22201/fi.25940732e.2019.20n1.009</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Respuesta de impacto de aislantes anti vibratorios con histéresis usando el modelo de Bouc-Wen]]></article-title>
<article-title xml:lang="en"><![CDATA[Shock response of vibration isolators with hysteresis using the Bouc-Wen model]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Ledezma-Ramírez]]></surname>
<given-names><![CDATA[Diego Francisco]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Tapia-González]]></surname>
<given-names><![CDATA[Pablo Ernesto]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Castillo-Morales]]></surname>
<given-names><![CDATA[Martín]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Autónoma de Nuevo León Facultad de Ingeniería Mecánica y Eléctrica Centro de Investigación e Innovación en Ingeniería Aeronáutica]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad Autónoma de Nuevo León Facultad de Ingeniería Mecánica y Eléctrica Centro de Investigación e Innovación en Ingeniería Aeronáutica]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Universidad Autónoma de Nuevo León Facultad de Ingeniería Mecánica y Eléctrica Centro de Investigación e Innovación en Ingeniería Aeronáutica]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>03</month>
<year>2019</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>03</month>
<year>2019</year>
</pub-date>
<volume>20</volume>
<numero>1</numero>
<fpage>0</fpage>
<lpage>0</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S1405-77432019000100009&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S1405-77432019000100009&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S1405-77432019000100009&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen Los aislantes anti vibratorios usados para reducir y controlar la respuesta de impacto suelen presentar propiedades no lineales a causa de los altos niveles de deformación, de su configuración geométrica y materiales. En particular, los aislantes basados en materiales visco elásticos y los resortes construidos usando cables de acero son notables por sus propiedades no lineales. Además, al ser sometidos a cargas cíclicas forman lazos de histéresis en su curva fuerza deformación. Sin embargo, el estudio de la respuesta de impacto se ha limitado a modelos que estudian las propiedades no lineales de forma independiente, o bien, que omiten el efecto del amortiguamiento. Por esta razón, este trabajo presenta un análisis de la respuesta de impacto considerando el modelo de Bouc-Wen para sistemas con histéresis. Este modelo es ampliamente usado para representar lazos de histéresis causados por efectos no lineales en amortiguamiento y rigidez. Se discuten los trabajos más relevantes y se presentan antecedentes breves sobre la respuesta al impacto y el modelo de Bouc-Wen. Posteriormente, se presentan resultados teóricos analizando y discutiendo la respuesta de impacto absoluta y relativa, para finalmente investigar el efecto del incremento de la amplitud de entrada en la respuesta del sistema. Se concluye que bajo ciertas circunstancias las propiedades no lineales pueden resultar benéficas para el diseño de aislantes de alto rendimiento para ambientes extremos.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract Vibration isolators are used to reduce and control shock response and usually present nonlinear stiffness and damping properties due to the high deformation levels and their geometric and material properties. In particular, viscoelastic isolators, and springs built from steel wires and ropes are notorious for their nonlinear properties. Moreover, when they are subjected to cyclic loading, they experience hysteresis. The Bouc-Wen model of hysteresis is widely used for representing the dynamic behaviour of nonlinear systems and structures under cyclic loading, as it can reproduce a variety of softening and hardening hysteresis loops by proper selection of its parameters. However, the study of shock response on these isolators is limited to studies of the nonlinear properties separately, or without considering damping. As a result, this work presents an analysis of the theoretical shock response using the Bouc-Wen model, focusing on hardening and softening stiffness. The most recent works are briefly discussed and a short background on shock isolation and the Bouc-Wen model is presented. Then, the absolute and relative responses under shock inputs are studied, as well as the effect of the input amplitude. It is concluded that under certain circumstances, the nonlinear properties can be beneficial for the further design of high performance shock isolators for extreme environments.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Impacto]]></kwd>
<kwd lng="es"><![CDATA[aislantes de cable]]></kwd>
<kwd lng="es"><![CDATA[amortiguamiento]]></kwd>
<kwd lng="es"><![CDATA[fricción seca]]></kwd>
<kwd lng="es"><![CDATA[rigidez no lineal]]></kwd>
<kwd lng="en"><![CDATA[Shock]]></kwd>
<kwd lng="en"><![CDATA[cable isolators]]></kwd>
<kwd lng="en"><![CDATA[damping]]></kwd>
<kwd lng="en"><![CDATA[dry friction]]></kwd>
<kwd lng="en"><![CDATA[nonlinear stiffness]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Balaji]]></surname>
<given-names><![CDATA[P.S.]]></given-names>
</name>
<name>
<surname><![CDATA[Moussa]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Rahman]]></surname>
<given-names><![CDATA[M.E.]]></given-names>
</name>
<name>
<surname><![CDATA[Ho]]></surname>
<given-names><![CDATA[L.H.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[An analytical study on the static vertical stiffness of wire rope isolators]]></article-title>
<source><![CDATA[Journal of Mechanical Science and Technology]]></source>
<year>2016</year>
<volume>30</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>287-95</page-range></nlm-citation>
</ref>
<ref id="B2">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Balaji]]></surname>
<given-names><![CDATA[P.S.]]></given-names>
</name>
<name>
<surname><![CDATA[Moussa]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Rahman]]></surname>
<given-names><![CDATA[M.E.]]></given-names>
</name>
<name>
<surname><![CDATA[Vuia]]></surname>
<given-names><![CDATA[L.T.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Experimental investigation on the hysteresis behavior of the wire rope isolators]]></article-title>
<source><![CDATA[Journal of Mechanical Science and Technology]]></source>
<year>2015</year>
<volume>29</volume>
<numero>4</numero>
<issue>4</issue>
<page-range>1527-36</page-range></nlm-citation>
</ref>
<ref id="B3">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Balaji]]></surname>
<given-names><![CDATA[P.S.]]></given-names>
</name>
<name>
<surname><![CDATA[Rahman]]></surname>
<given-names><![CDATA[M.E.]]></given-names>
</name>
<name>
<surname><![CDATA[Moussa]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Lau]]></surname>
<given-names><![CDATA[H.H.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Wire rope isolators for vibration isolation of equipment and structures - A review]]></article-title>
<source><![CDATA[IOP Conference Series: Materials Science and Engineering]]></source>
<year>2015</year>
<volume>78</volume>
<numero>1</numero>
<issue>1</issue>
</nlm-citation>
</ref>
<ref id="B4">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Charalampakis]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Koumousis]]></surname>
<given-names><![CDATA[V.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Identification of Bouc-Wen hysteretic system by a hybrid evolutionary algorithm]]></article-title>
<source><![CDATA[Journal of Sound and Vibration]]></source>
<year>2008</year>
<volume>314</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>571-85</page-range></nlm-citation>
</ref>
<ref id="B5">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Cutchins]]></surname>
<given-names><![CDATA[M.A.]]></given-names>
</name>
<name>
<surname><![CDATA[Cochran]]></surname>
<given-names><![CDATA[J.E.]]></given-names>
</name>
<name>
<surname><![CDATA[Kumar]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
<name>
<surname><![CDATA[Fitz-Coy]]></surname>
<given-names><![CDATA[N.G.]]></given-names>
</name>
<name>
<surname><![CDATA[Tinker]]></surname>
<given-names><![CDATA[M.L.]]></given-names>
</name>
</person-group>
<source><![CDATA[Initial Investigations into the damping characteristics of wire rope vibration isolators]]></source>
<year>1987</year>
<publisher-name><![CDATA[Auburn University, Aerospace Engineering]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B6">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Demetriades]]></surname>
<given-names><![CDATA[G.F.]]></given-names>
</name>
<name>
<surname><![CDATA[Constantinou]]></surname>
<given-names><![CDATA[M.C.]]></given-names>
</name>
<name>
<surname><![CDATA[Reinhorn]]></surname>
<given-names><![CDATA[A.M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Study of wire rope systems for seismic protection of equipment in buildings]]></article-title>
<source><![CDATA[Engineering Structures]]></source>
<year>1993</year>
<volume>15</volume>
<numero>5</numero>
<issue>5</issue>
<page-range>321-34</page-range></nlm-citation>
</ref>
<ref id="B7">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Eshleman]]></surname>
<given-names><![CDATA[R.L.]]></given-names>
</name>
<name>
<surname><![CDATA[Rao]]></surname>
<given-names><![CDATA[P.N.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Response of mechanical shock isolation elements to high rate input loading]]></article-title>
<source><![CDATA[Shock and Vibration Bulletin]]></source>
<year>1969</year>
<publisher-name><![CDATA[Shock and Vibration Information Center]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B8">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Gerges]]></surname>
<given-names><![CDATA[R.R.]]></given-names>
</name>
<name>
<surname><![CDATA[Vickery]]></surname>
<given-names><![CDATA[B.J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Parametric experimental study of wire rope spring tuned mass dampers]]></article-title>
<source><![CDATA[Journal of Wind Engineering and Industrial Aerodynamics]]></source>
<year>2003</year>
<volume>91</volume>
<numero>12</numero>
<issue>12</issue>
<page-range>1363-85</page-range></nlm-citation>
</ref>
<ref id="B9">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Guzmán-Nieto]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Tapia-González]]></surname>
<given-names><![CDATA[P.E.]]></given-names>
</name>
<name>
<surname><![CDATA[Ledezma-Ramírez]]></surname>
<given-names><![CDATA[D.F.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Low Frequency Experimental Analysis of Dry Friction Damping in Cable Isolators]]></article-title>
<source><![CDATA[Journal of Low Frequency Noise, Vibration and Active Control]]></source>
<year>2015</year>
<volume>34</volume>
<numero>4</numero>
<issue>4</issue>
<page-range>513-24</page-range></nlm-citation>
</ref>
<ref id="B10">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Harris]]></surname>
<given-names><![CDATA[C.M.]]></given-names>
</name>
<name>
<surname><![CDATA[Piersol]]></surname>
<given-names><![CDATA[A.G.]]></given-names>
</name>
</person-group>
<source><![CDATA[Harris&#8217; shock and vibration handbook]]></source>
<year>2002</year>
<edition>5</edition>
<publisher-name><![CDATA[McGraw-Hill]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B11">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ledezma-Ramírez]]></surname>
<given-names><![CDATA[D.F.]]></given-names>
</name>
<name>
<surname><![CDATA[Ferguson]]></surname>
<given-names><![CDATA[N.S.]]></given-names>
</name>
<name>
<surname><![CDATA[Brennan]]></surname>
<given-names><![CDATA[M.J.]]></given-names>
</name>
<name>
<surname><![CDATA[Tang]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[An experimental nonlinear low dynamic stiffness device for shock isolation]]></article-title>
<source><![CDATA[Journal of Sound and Vibration]]></source>
<year>2015</year>
<volume>347</volume>
<page-range>1-13</page-range></nlm-citation>
</ref>
<ref id="B12">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Leenen]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<source><![CDATA[The modelling and identification of an hysteretic system]]></source>
<year>2002</year>
<publisher-name><![CDATA[Department of Mechanical Engineering - Eindhoven University of Technology]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B13">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Li]]></surname>
<given-names><![CDATA[H.-G.]]></given-names>
</name>
<name>
<surname><![CDATA[Meng]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Nonlinear dynamics of a SDOF oscillator with Bouc-Wen hysteresis]]></article-title>
<source><![CDATA[Chaos, Solitons &amp; Fractals]]></source>
<year>2007</year>
<volume>34</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>337-43</page-range></nlm-citation>
</ref>
<ref id="B14">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Popp]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Non-smooth mechanical systems]]></article-title>
<source><![CDATA[Journal of Applied Mathematics and Mechanics]]></source>
<year>2000</year>
<volume>64</volume>
<numero>5</numero>
<issue>5</issue>
<page-range>765-72</page-range></nlm-citation>
</ref>
<ref id="B15">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Schwanen]]></surname>
<given-names><![CDATA[W.]]></given-names>
</name>
</person-group>
<source><![CDATA[Modeling and Identification of the dynamic behavior of a wire rope spring]]></source>
<year>2004</year>
<publisher-name><![CDATA[Technische Universiteit Eindhoven]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B16">
<nlm-citation citation-type="">
<collab>Stratus Productions</collab>
<source><![CDATA[Stratus Productions]]></source>
<year>2017</year>
</nlm-citation>
</ref>
<ref id="B17">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Tang]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
<name>
<surname><![CDATA[Brennan]]></surname>
<given-names><![CDATA[M.J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[On the shock performance of a nonlinear vibration isolator with high-static-low-dynamic-stiffness]]></article-title>
<source><![CDATA[International Journal of Mechanical Sciences]]></source>
<year>2014</year>
<volume>81</volume>
<page-range>207-14</page-range></nlm-citation>
</ref>
<ref id="B18">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Tapia-González]]></surname>
<given-names><![CDATA[P.E.]]></given-names>
</name>
<name>
<surname><![CDATA[Ledezma-Ramírez]]></surname>
<given-names><![CDATA[D.F.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Experimental characterisation of dry friction isolators for shock and vibration]]></article-title>
<source><![CDATA[Journal of Low Frequency Noise, Vibration and Active Control]]></source>
<year>2017</year>
<volume>36</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>83-95</page-range></nlm-citation>
</ref>
</ref-list>
</back>
</article>
