{"id":1729,"date":"2022-11-07T06:01:54","date_gmt":"2022-11-07T06:01:54","guid":{"rendered":"https:\/\/insyte.website\/WordPress\/?post_type=glossary&#038;p=1729"},"modified":"2022-11-07T07:42:19","modified_gmt":"2022-11-07T07:42:19","slug":"reponse-du-1er-et-2eme-ordre","status":"publish","type":"glossary","link":"https:\/\/insyte.website\/WordPress\/glossary\/reponse-du-1er-et-2eme-ordre\/","title":{"rendered":"R\u00e9ponses du 1er et 2\u00e8me ordre"},"content":{"rendered":"<p><strong>Objectif :<\/strong> Distinguer une r&eacute;ponse du premier ou second ordre. Cela peut-&ecirc;tre utile en vue de faire la mod&eacute;lisation math&eacute;matique d&rsquo;un objet dans le cadre d&rsquo;une simulation.<\/p>\n\n\n\n<p>Les objets techniques (syst&egrave;mes, sous-syst&egrave;mes ou composants) r&eacute;agissent diff&eacute;remment selon leurs natures et selon l&rsquo;excitation &agrave; laquelle ils sont soumis.<\/p>\n\n\n\n<p>On appelle r&eacute;ponse indicielle la r&eacute;ponse &agrave; l&rsquo;&eacute;chelon d&rsquo;une grandeur physique appliqu&eacute;e en entr&eacute;e d&rsquo;un objet technique.<\/p>\n\n\n\n<p>Pour illustrer cela, observons plusieurs situations <\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>R&eacute;ponse en courant dans un circuit RL<\/li>\n\n\n\n<li>R&eacute;ponse en tension dans un circuit RC<\/li>\n\n\n\n<li>R&eacute;ponse en vitesse d&rsquo;un masse soumise &agrave; un &eacute;chelon de force<\/li>\n\n\n\n<li>R&eacute;ponse en vitesse d&rsquo;une <a class=\"glossaryLink\"  aria-describedby=\"tt\"  data-cmtooltip=\"&lt;div class=glossaryItemTitle&gt;Moment d&amp;rsquo;inertie&lt;\/div&gt;&lt;div class=glossaryItemBody&gt;&amp;lt;em&amp;gt;Mn&eacute;motechnique : les masses sont fain&eacute;antes .... les inerties aussi !!&amp;lt;\/em&amp;gt;&amp;lt;br\/&amp;gt;Le moment d&amp;#039;inertie \\(J \\)ou \\( I\\) caract&eacute;rise la r&eacute;partition des masses par rapport &agrave; un axe de rotation. On parle de(...)&lt;iframe width=&#039;380&#039; height=&#039;214&#039; src=&#039;https:\/\/www.youtube.com\/embed\/iGZTXWQI5Sc&#039; title=&#039;volants inertie mat&eacute;riaux diff&eacute;rents&#039; frameborder=&#039;0&#039; allow=&#039;accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture&#039; allowfullscreen&gt;&lt;\/iframe&gt;&lt;\/div&gt;\"  href=\"https:\/\/insyte.website\/WordPress\/glossary\/moment-dinertie\/\"  data-gt-translate-attributes='[{\"attribute\":\"data-cmtooltip\", \"format\":\"html\"}]'>inertie<\/a> soumise &agrave; un &eacute;chelon de couple<\/li>\n\n\n\n<li>R&eacute;ponse en flux thermique d&rsquo;un &eacute;chelon de temp&eacute;rature <\/li>\n<\/ul>\n\n\n\n<p>Tous ces objets techniques r&eacute;agissent de mani&egrave;res similaires mais &agrave; la fois diff&eacute;rentes. Pourtant peu de &laquo;&nbsp;choses&nbsp;&raquo; les diff&eacute;rencient.<\/p>\n\n\n\n<p>Les r&eacute;ponses vues pr&eacute;c&eacute;demment peuvent &ecirc;tre class&eacute;es selon <strong>deux cat&eacute;gories<\/strong> :<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>R&eacute;ponse du Premier Ordre<\/li>\n\n\n\n<li>R&eacute;ponse du Second Ordre <\/li>\n<\/ul>\n\n\n\n<p><em>Un moyen Mnemotechnique pour les identifier &hellip;. observer la base de &laquo;&nbsp;S&nbsp;&raquo; du mot &laquo;&nbsp;<strong>S<\/strong>econd&nbsp;&raquo; Ordre. La tangente &agrave; l&rsquo;origine du &laquo;&nbsp;S&nbsp;&raquo; est horizontale comme toute r&eacute;ponse du Second ordre &#128521;<\/em><\/p>\n\n\n\n<p class=\"has-theme-palette-1-color has-text-color has-medium-font-size\"><strong>R&eacute;ponses du Premier Ordre<\/strong> &agrave; l&rsquo;&eacute;chelon (r&eacute;ponses indicielles)<\/p>\n\n\n<style>#kt-layout-id_01edc7-df > .kt-row-column-wrap{align-content:start;}:where(#kt-layout-id_01edc7-df > .kt-row-column-wrap) > .wp-block-kadence-column{justify-content:start;}#kt-layout-id_01edc7-df > .kt-row-column-wrap{column-gap:var(--global-kb-gap-md, 2rem);row-gap:var(--global-kb-gap-md, 2rem);padding-top:var( --global-kb-row-default-top, 25px );padding-bottom:var( --global-kb-row-default-bottom, 25px );padding-top:var(--global-kb-spacing-sm, 1.5rem);padding-bottom:var(--global-kb-spacing-sm, 1.5rem);}#kt-layout-id_01edc7-df > .kt-row-column-wrap > div:not(.added-for-specificity){grid-column:initial;}#kt-layout-id_01edc7-df > .kt-row-column-wrap{grid-template-columns:repeat(3, minmax(0, 1fr));}#kt-layout-id_01edc7-df > .kt-row-layout-overlay{opacity:0.30;}@media all and (max-width: 1024px){#kt-layout-id_01edc7-df > .kt-row-column-wrap > div:not(.added-for-specificity){grid-column:initial;}}@media all and (max-width: 1024px){#kt-layout-id_01edc7-df > .kt-row-column-wrap{grid-template-columns:repeat(3, minmax(0, 1fr));}}@media all and (max-width: 767px){#kt-layout-id_01edc7-df > .kt-row-column-wrap > div:not(.added-for-specificity){grid-column:initial;}#kt-layout-id_01edc7-df > .kt-row-column-wrap{grid-template-columns:minmax(0, 1fr);}}<\/style>\n<div class=\"wp-block-kadence-rowlayout alignnone\"><div id=\"kt-layout-id_01edc7-df\" class=\"kt-row-layout-inner kt-layout-id_01edc7-df\"><div class=\"kt-row-column-wrap kt-has-3-columns kt-gutter-default kt-v-gutter-default kt-row-valign-top kt-row-layout-equal kt-tab-layout-inherit kt-m-colapse-left-to-right kt-mobile-layout-row\"><style>.kadence-column_067933-0f > .kt-inside-inner-col{border-top-width:0px;border-right-width:0px;border-bottom-width:0px;border-left-width:0px;}.kadence-column_067933-0f > .kt-inside-inner-col,.kadence-column_067933-0f > .kt-inside-inner-col:before{border-top-left-radius:0px;border-top-right-radius:0px;border-bottom-right-radius:0px;border-bottom-left-radius:0px;}.kadence-column_067933-0f > .kt-inside-inner-col{column-gap:var(--global-kb-gap-sm, 1rem);}.kadence-column_067933-0f > .kt-inside-inner-col{flex-direction:column;}.kadence-column_067933-0f > .kt-inside-inner-col > .aligncenter{width:100%;}.kadence-column_067933-0f > .kt-inside-inner-col:before{opacity:0.3;}.kadence-column_067933-0f{position:relative;}@media all and (max-width: 1024px){.kadence-column_067933-0f > .kt-inside-inner-col{flex-direction:column;justify-content:center;}}@media all and (max-width: 767px){.kadence-column_067933-0f > .kt-inside-inner-col{flex-direction:column;justify-content:center;}}<\/style>\n<div class=\"wp-block-kadence-column inner-column-1 kadence-column_067933-0f\"><div class=\"kt-inside-inner-col\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"418\" height=\"375\" src=\"https:\/\/insyte.website\/WordPress\/wp-content\/uploads\/2022\/11\/image-19.png\" alt=\"\" class=\"wp-image-1736\" srcset=\"https:\/\/insyte.website\/WordPress\/wp-content\/uploads\/2022\/11\/image-19.png 418w, https:\/\/insyte.website\/WordPress\/wp-content\/uploads\/2022\/11\/image-19-300x269.png 300w\" sizes=\"auto, (max-width: 418px) 100vw, 418px\"\/><figcaption class=\"wp-element-caption\">Constante de temps de 0.4 s<\/figcaption><\/figure>\n<\/div><\/div>\n\n\n<style>.kadence-column_6449ba-3b > .kt-inside-inner-col{border-top-width:0px;border-right-width:0px;border-bottom-width:0px;border-left-width:0px;}.kadence-column_6449ba-3b > .kt-inside-inner-col,.kadence-column_6449ba-3b > .kt-inside-inner-col:before{border-top-left-radius:0px;border-top-right-radius:0px;border-bottom-right-radius:0px;border-bottom-left-radius:0px;}.kadence-column_6449ba-3b > .kt-inside-inner-col{column-gap:var(--global-kb-gap-sm, 1rem);}.kadence-column_6449ba-3b > .kt-inside-inner-col{flex-direction:column;}.kadence-column_6449ba-3b > .kt-inside-inner-col > .aligncenter{width:100%;}.kadence-column_6449ba-3b > .kt-inside-inner-col:before{opacity:0.3;}.kadence-column_6449ba-3b{position:relative;}@media all and (max-width: 1024px){.kadence-column_6449ba-3b > .kt-inside-inner-col{flex-direction:column;justify-content:center;}}@media all and (max-width: 767px){.kadence-column_6449ba-3b > .kt-inside-inner-col{flex-direction:column;justify-content:center;}}<\/style>\n<div class=\"wp-block-kadence-column inner-column-2 kadence-column_6449ba-3b\"><div class=\"kt-inside-inner-col\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"414\" height=\"373\" src=\"https:\/\/insyte.website\/WordPress\/wp-content\/uploads\/2022\/11\/image-20.png\" alt=\"\" class=\"wp-image-1737\" srcset=\"https:\/\/insyte.website\/WordPress\/wp-content\/uploads\/2022\/11\/image-20.png 414w, https:\/\/insyte.website\/WordPress\/wp-content\/uploads\/2022\/11\/image-20-300x270.png 300w\" sizes=\"auto, (max-width: 414px) 100vw, 414px\"\/><figcaption class=\"wp-element-caption\">Constante de temps de 0.1 s<\/figcaption><\/figure>\n<\/div><\/div>\n\n\n<style>.kadence-column_a18bee-32 > .kt-inside-inner-col{border-top-width:0px;border-right-width:0px;border-bottom-width:0px;border-left-width:0px;}.kadence-column_a18bee-32 > .kt-inside-inner-col,.kadence-column_a18bee-32 > .kt-inside-inner-col:before{border-top-left-radius:0px;border-top-right-radius:0px;border-bottom-right-radius:0px;border-bottom-left-radius:0px;}.kadence-column_a18bee-32 > .kt-inside-inner-col{column-gap:var(--global-kb-gap-sm, 1rem);}.kadence-column_a18bee-32 > .kt-inside-inner-col{flex-direction:column;}.kadence-column_a18bee-32 > .kt-inside-inner-col > .aligncenter{width:100%;}.kadence-column_a18bee-32 > .kt-inside-inner-col:before{opacity:0.3;}.kadence-column_a18bee-32{position:relative;}@media all and (max-width: 1024px){.kadence-column_a18bee-32 > .kt-inside-inner-col{flex-direction:column;justify-content:center;}}@media all and (max-width: 767px){.kadence-column_a18bee-32 > .kt-inside-inner-col{flex-direction:column;justify-content:center;}}<\/style>\n<div class=\"wp-block-kadence-column inner-column-3 kadence-column_a18bee-32\"><div class=\"kt-inside-inner-col\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"420\" height=\"375\" src=\"https:\/\/insyte.website\/WordPress\/wp-content\/uploads\/2022\/11\/image-21.png\" alt=\"\" class=\"wp-image-1738\" srcset=\"https:\/\/insyte.website\/WordPress\/wp-content\/uploads\/2022\/11\/image-21.png 420w, https:\/\/insyte.website\/WordPress\/wp-content\/uploads\/2022\/11\/image-21-300x268.png 300w\" sizes=\"auto, (max-width: 420px) 100vw, 420px\"\/><figcaption class=\"wp-element-caption\">Constante de temps de 0.7 s<\/figcaption><\/figure>\n<\/div><\/div>\n<\/div><\/div><\/div>\n\n\n\n<p class=\"has-theme-palette-1-color has-text-color has-medium-font-size\"><strong>R&eacute;ponses du Second Ordre<\/strong> &agrave; l&rsquo;&eacute;chelon (r&eacute;ponses indicielles)<\/p>\n\n\n<style>#kt-layout-id_559da4-00 > .kt-row-column-wrap{align-content:start;}:where(#kt-layout-id_559da4-00 > .kt-row-column-wrap) > .wp-block-kadence-column{justify-content:start;}#kt-layout-id_559da4-00 > .kt-row-column-wrap{column-gap:var(--global-kb-gap-md, 2rem);row-gap:var(--global-kb-gap-md, 2rem);padding-top:var( --global-kb-row-default-top, 25px );padding-bottom:var( --global-kb-row-default-bottom, 25px );padding-top:var(--global-kb-spacing-sm, 1.5rem);padding-bottom:var(--global-kb-spacing-sm, 1.5rem);grid-template-columns:minmax(0, 1fr);}#kt-layout-id_559da4-00 > .kt-row-layout-overlay{opacity:0.30;}@media all and (max-width: 1024px){#kt-layout-id_559da4-00 > .kt-row-column-wrap{grid-template-columns:minmax(0, 1fr);}}@media all and (max-width: 767px){#kt-layout-id_559da4-00 > .kt-row-column-wrap{grid-template-columns:minmax(0, 1fr);}}<\/style>\n<div class=\"wp-block-kadence-rowlayout alignnone\"><div id=\"kt-layout-id_559da4-00\" class=\"kt-row-layout-inner kt-layout-id_559da4-00\"><div class=\"kt-row-column-wrap kt-has-1-columns kt-gutter-default kt-v-gutter-default kt-row-valign-top kt-row-layout-equal kt-tab-layout-inherit kt-m-colapse-left-to-right kt-mobile-layout-row\"><style>.kadence-column_648e57-c8 > .kt-inside-inner-col{border-top-width:0px;border-right-width:0px;border-bottom-width:0px;border-left-width:0px;}.kadence-column_648e57-c8 > .kt-inside-inner-col,.kadence-column_648e57-c8 > .kt-inside-inner-col:before{border-top-left-radius:0px;border-top-right-radius:0px;border-bottom-right-radius:0px;border-bottom-left-radius:0px;}.kadence-column_648e57-c8 > .kt-inside-inner-col{column-gap:var(--global-kb-gap-sm, 1rem);}.kadence-column_648e57-c8 > .kt-inside-inner-col{flex-direction:column;}.kadence-column_648e57-c8 > .kt-inside-inner-col > .aligncenter{width:100%;}.kadence-column_648e57-c8 > .kt-inside-inner-col:before{opacity:0.3;}.kadence-column_648e57-c8{position:relative;}@media all and (max-width: 1024px){.kadence-column_648e57-c8 > .kt-inside-inner-col{flex-direction:column;justify-content:center;}}@media all and (max-width: 767px){.kadence-column_648e57-c8 > .kt-inside-inner-col{flex-direction:column;justify-content:center;}}<\/style>\n<div class=\"wp-block-kadence-column inner-column-1 kadence-column_648e57-c8\"><div class=\"kt-inside-inner-col\">\n<p><strong>Amortissement sup&eacute;rieur &agrave; 1 (z&gt;1)<\/strong><\/p>\n\n\n<style>#kt-layout-id_e7b1a4-c4 > .kt-row-column-wrap{align-content:start;}:where(#kt-layout-id_e7b1a4-c4 > .kt-row-column-wrap) > .wp-block-kadence-column{justify-content:start;}#kt-layout-id_e7b1a4-c4 > .kt-row-column-wrap{column-gap:var(--global-kb-gap-md, 2rem);row-gap:var(--global-kb-gap-md, 2rem);padding-top:var( --global-kb-row-default-top, 25px );padding-bottom:var( --global-kb-row-default-bottom, 25px );padding-top:var(--global-kb-spacing-sm, 1.5rem);padding-bottom:var(--global-kb-spacing-sm, 1.5rem);grid-template-columns:minmax(0, calc(35% - ((var(--global-kb-gap-md, 2rem) * 2 )\/3)))minmax(0, calc(30% - ((var(--global-kb-gap-md, 2rem) * 2 )\/3)))minmax(0, calc(35% - ((var(--global-kb-gap-md, 2rem) * 2 )\/3)));}#kt-layout-id_e7b1a4-c4 > .kt-row-layout-overlay{opacity:0.30;}@media all and (max-width: 1024px){#kt-layout-id_e7b1a4-c4 > .kt-row-column-wrap > div:not(.added-for-specificity){grid-column:initial;}}@media all and (max-width: 1024px){#kt-layout-id_e7b1a4-c4 > .kt-row-column-wrap{grid-template-columns:repeat(3, minmax(0, 1fr));}}@media all and (max-width: 767px){#kt-layout-id_e7b1a4-c4 > .kt-row-column-wrap > div:not(.added-for-specificity){grid-column:initial;}#kt-layout-id_e7b1a4-c4 > .kt-row-column-wrap{grid-template-columns:minmax(0, 1fr);}}<\/style>\n<div class=\"wp-block-kadence-rowlayout alignnone\"><div id=\"kt-layout-id_e7b1a4-c4\" class=\"kt-row-layout-inner kt-layout-id_e7b1a4-c4\"><div class=\"kt-row-column-wrap kt-has-3-columns kt-gutter-default kt-v-gutter-default kt-row-valign-top kt-row-layout-equal kt-tab-layout-inherit kt-m-colapse-left-to-right kt-mobile-layout-row  kt-custom-first-width-35  kt-custom-second-width-30  kt-custom-third-width-35\"><style>.kadence-column_b1804a-73 > .kt-inside-inner-col{border-top-width:0px;border-right-width:0px;border-bottom-width:0px;border-left-width:0px;}.kadence-column_b1804a-73 > .kt-inside-inner-col,.kadence-column_b1804a-73 > .kt-inside-inner-col:before{border-top-left-radius:0px;border-top-right-radius:0px;border-bottom-right-radius:0px;border-bottom-left-radius:0px;}.kadence-column_b1804a-73 > .kt-inside-inner-col{column-gap:var(--global-kb-gap-sm, 1rem);}.kadence-column_b1804a-73 > .kt-inside-inner-col{flex-direction:column;}.kadence-column_b1804a-73 > .kt-inside-inner-col > .aligncenter{width:100%;}.kadence-column_b1804a-73 > .kt-inside-inner-col:before{opacity:0.3;}.kadence-column_b1804a-73{position:relative;}@media all and (max-width: 1024px){.kadence-column_b1804a-73 > .kt-inside-inner-col{flex-direction:column;justify-content:center;}}@media all and (max-width: 767px){.kadence-column_b1804a-73 > .kt-inside-inner-col{flex-direction:column;justify-content:center;}}<\/style>\n<div class=\"wp-block-kadence-column inner-column-1 kadence-column_b1804a-73\"><div class=\"kt-inside-inner-col\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"420\" height=\"378\" src=\"https:\/\/insyte.website\/WordPress\/wp-content\/uploads\/2022\/11\/image-24.png\" alt=\"\" class=\"wp-image-1743\" srcset=\"https:\/\/insyte.website\/WordPress\/wp-content\/uploads\/2022\/11\/image-24.png 420w, https:\/\/insyte.website\/WordPress\/wp-content\/uploads\/2022\/11\/image-24-300x270.png 300w\" sizes=\"auto, (max-width: 420px) 100vw, 420px\"\/><figcaption class=\"wp-element-caption\">Amortissement z=1.5<\/figcaption><\/figure>\n<\/div><\/div>\n\n\n<style>.kadence-column_383c8e-63 > .kt-inside-inner-col{border-top-width:0px;border-right-width:0px;border-bottom-width:0px;border-left-width:0px;}.kadence-column_383c8e-63 > .kt-inside-inner-col,.kadence-column_383c8e-63 > .kt-inside-inner-col:before{border-top-left-radius:0px;border-top-right-radius:0px;border-bottom-right-radius:0px;border-bottom-left-radius:0px;}.kadence-column_383c8e-63 > .kt-inside-inner-col{column-gap:var(--global-kb-gap-sm, 1rem);}.kadence-column_383c8e-63 > .kt-inside-inner-col{flex-direction:column;}.kadence-column_383c8e-63 > .kt-inside-inner-col > .aligncenter{width:100%;}.kadence-column_383c8e-63 > .kt-inside-inner-col:before{opacity:0.3;}.kadence-column_383c8e-63{position:relative;}@media all and (max-width: 1024px){.kadence-column_383c8e-63 > .kt-inside-inner-col{flex-direction:column;justify-content:center;}}@media all and (max-width: 767px){.kadence-column_383c8e-63 > .kt-inside-inner-col{flex-direction:column;justify-content:center;}}<\/style>\n<div class=\"wp-block-kadence-column inner-column-2 kadence-column_383c8e-63\"><div class=\"kt-inside-inner-col\">\n<p>Remarque importante : on pourrait &agrave; la h&acirc;te l&rsquo;identifier comme une r&eacute;ponse du premier ordre !! Il n&rsquo;en est rien. Pour cela, rappelez vous qui faut observer la tangente &agrave; l&rsquo;origine.<\/p>\n\n\n\n<p>Observer sur la figure ci-contre l&rsquo;effet de zoom sur l&rsquo;origine de la courbe&hellip;.<\/p>\n\n\n\n<p>&hellip;. la tangente est nulle &agrave; l&rsquo;origine, il s&rsquo;agit bien d&rsquo;une r&eacute;ponse du Second ordre ;<\/p>\n<\/div><\/div>\n\n\n<style>.kadence-column_500d27-d4 > .kt-inside-inner-col{border-top-width:0px;border-right-width:0px;border-bottom-width:0px;border-left-width:0px;}.kadence-column_500d27-d4 > .kt-inside-inner-col,.kadence-column_500d27-d4 > .kt-inside-inner-col:before{border-top-left-radius:0px;border-top-right-radius:0px;border-bottom-right-radius:0px;border-bottom-left-radius:0px;}.kadence-column_500d27-d4 > .kt-inside-inner-col{column-gap:var(--global-kb-gap-sm, 1rem);}.kadence-column_500d27-d4 > .kt-inside-inner-col{flex-direction:column;}.kadence-column_500d27-d4 > .kt-inside-inner-col > .aligncenter{width:100%;}.kadence-column_500d27-d4 > .kt-inside-inner-col:before{opacity:0.3;}.kadence-column_500d27-d4{position:relative;}@media all and (max-width: 1024px){.kadence-column_500d27-d4 > .kt-inside-inner-col{flex-direction:column;justify-content:center;}}@media all and (max-width: 767px){.kadence-column_500d27-d4 > .kt-inside-inner-col{flex-direction:column;justify-content:center;}}<\/style>\n<div class=\"wp-block-kadence-column inner-column-3 kadence-column_500d27-d4\"><div class=\"kt-inside-inner-col\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"423\" height=\"377\" src=\"https:\/\/insyte.website\/WordPress\/wp-content\/uploads\/2022\/11\/image-23.png\" alt=\"\" class=\"wp-image-1742\" srcset=\"https:\/\/insyte.website\/WordPress\/wp-content\/uploads\/2022\/11\/image-23.png 423w, https:\/\/insyte.website\/WordPress\/wp-content\/uploads\/2022\/11\/image-23-300x267.png 300w\" sizes=\"auto, (max-width: 423px) 100vw, 423px\"\/><figcaption class=\"wp-element-caption\">Zoom sur la r&eacute;ponse &agrave; l&rsquo;origine pour observer la tangente nulle &agrave; l&rsquo;origine<\/figcaption><\/figure>\n<\/div><\/div>\n<\/div><\/div><\/div>\n\n\n\n<p><strong>Amortissement sup&eacute;rieur &agrave; 1 (z&lt;1)<\/strong><\/p>\n\n\n<style>#kt-layout-id_124c9f-90 > .kt-row-column-wrap{align-content:start;}:where(#kt-layout-id_124c9f-90 > .kt-row-column-wrap) > .wp-block-kadence-column{justify-content:start;}#kt-layout-id_124c9f-90 > .kt-row-column-wrap{column-gap:var(--global-kb-gap-md, 2rem);row-gap:var(--global-kb-gap-md, 2rem);padding-top:var( --global-kb-row-default-top, 25px );padding-bottom:var( --global-kb-row-default-bottom, 25px );padding-top:var(--global-kb-spacing-sm, 1.5rem);padding-bottom:var(--global-kb-spacing-sm, 1.5rem);}#kt-layout-id_124c9f-90 > .kt-row-column-wrap > div:not(.added-for-specificity){grid-column:initial;}#kt-layout-id_124c9f-90 > .kt-row-column-wrap{grid-template-columns:repeat(3, minmax(0, 1fr));}#kt-layout-id_124c9f-90 > .kt-row-layout-overlay{opacity:0.30;}@media all and (max-width: 1024px){#kt-layout-id_124c9f-90 > .kt-row-column-wrap > div:not(.added-for-specificity){grid-column:initial;}}@media all and (max-width: 1024px){#kt-layout-id_124c9f-90 > .kt-row-column-wrap{grid-template-columns:repeat(3, minmax(0, 1fr));}}@media all and (max-width: 767px){#kt-layout-id_124c9f-90 > .kt-row-column-wrap > div:not(.added-for-specificity){grid-column:initial;}#kt-layout-id_124c9f-90 > .kt-row-column-wrap{grid-template-columns:minmax(0, 1fr);}}<\/style>\n<div class=\"wp-block-kadence-rowlayout alignnone\"><div id=\"kt-layout-id_124c9f-90\" class=\"kt-row-layout-inner kt-layout-id_124c9f-90\"><div class=\"kt-row-column-wrap kt-has-3-columns kt-gutter-default kt-v-gutter-default kt-row-valign-top kt-row-layout-equal kt-tab-layout-inherit kt-m-colapse-left-to-right kt-mobile-layout-row\"><style>.kadence-column_5b8dcd-f2 > .kt-inside-inner-col{border-top-width:0px;border-right-width:0px;border-bottom-width:0px;border-left-width:0px;}.kadence-column_5b8dcd-f2 > .kt-inside-inner-col,.kadence-column_5b8dcd-f2 > .kt-inside-inner-col:before{border-top-left-radius:0px;border-top-right-radius:0px;border-bottom-right-radius:0px;border-bottom-left-radius:0px;}.kadence-column_5b8dcd-f2 > .kt-inside-inner-col{column-gap:var(--global-kb-gap-sm, 1rem);}.kadence-column_5b8dcd-f2 > .kt-inside-inner-col{flex-direction:column;}.kadence-column_5b8dcd-f2 > .kt-inside-inner-col > .aligncenter{width:100%;}.kadence-column_5b8dcd-f2 > .kt-inside-inner-col:before{opacity:0.3;}.kadence-column_5b8dcd-f2{position:relative;}@media all and (max-width: 1024px){.kadence-column_5b8dcd-f2 > .kt-inside-inner-col{flex-direction:column;justify-content:center;}}@media all and (max-width: 767px){.kadence-column_5b8dcd-f2 > .kt-inside-inner-col{flex-direction:column;justify-content:center;}}<\/style>\n<div class=\"wp-block-kadence-column inner-column-1 kadence-column_5b8dcd-f2\"><div class=\"kt-inside-inner-col\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"421\" height=\"372\" src=\"https:\/\/insyte.website\/WordPress\/wp-content\/uploads\/2022\/11\/image-25.png\" alt=\"\" class=\"wp-image-1746\" srcset=\"https:\/\/insyte.website\/WordPress\/wp-content\/uploads\/2022\/11\/image-25.png 421w, https:\/\/insyte.website\/WordPress\/wp-content\/uploads\/2022\/11\/image-25-300x265.png 300w\" sizes=\"auto, (max-width: 421px) 100vw, 421px\"\/><figcaption class=\"wp-element-caption\">Amortissement z=0.2<\/figcaption><\/figure>\n<\/div><\/div>\n\n\n<style>.kadence-column_fed729-31 > .kt-inside-inner-col{border-top-width:0px;border-right-width:0px;border-bottom-width:0px;border-left-width:0px;}.kadence-column_fed729-31 > .kt-inside-inner-col,.kadence-column_fed729-31 > .kt-inside-inner-col:before{border-top-left-radius:0px;border-top-right-radius:0px;border-bottom-right-radius:0px;border-bottom-left-radius:0px;}.kadence-column_fed729-31 > .kt-inside-inner-col{column-gap:var(--global-kb-gap-sm, 1rem);}.kadence-column_fed729-31 > .kt-inside-inner-col{flex-direction:column;}.kadence-column_fed729-31 > .kt-inside-inner-col > .aligncenter{width:100%;}.kadence-column_fed729-31 > .kt-inside-inner-col:before{opacity:0.3;}.kadence-column_fed729-31{position:relative;}@media all and (max-width: 1024px){.kadence-column_fed729-31 > .kt-inside-inner-col{flex-direction:column;justify-content:center;}}@media all and (max-width: 767px){.kadence-column_fed729-31 > .kt-inside-inner-col{flex-direction:column;justify-content:center;}}<\/style>\n<div class=\"wp-block-kadence-column inner-column-2 kadence-column_fed729-31\"><div class=\"kt-inside-inner-col\">\n<p>On observe un d&eacute;passement, la r&eacute;ponse est ainsi forc&eacute;ment d&rsquo;une r&eacute;ponse &agrave; l&rsquo;&eacute;chelon d&rsquo;un syst&egrave;me du second ordre.<\/p>\n\n\n\n<p>Observons tout de m&ecirc;me la tangente &agrave; l&rsquo;origine en y faisant un zoom (figure ci-contre)<\/p>\n\n\n\n<p>La tangente nulle &agrave; l&rsquo;origine confirme l&rsquo;ordre 2 (second ordre) de la r&eacute;ponse.<\/p>\n<\/div><\/div>\n\n\n<style>.kadence-column_798775-17 > .kt-inside-inner-col{border-top-width:0px;border-right-width:0px;border-bottom-width:0px;border-left-width:0px;}.kadence-column_798775-17 > .kt-inside-inner-col,.kadence-column_798775-17 > .kt-inside-inner-col:before{border-top-left-radius:0px;border-top-right-radius:0px;border-bottom-right-radius:0px;border-bottom-left-radius:0px;}.kadence-column_798775-17 > .kt-inside-inner-col{column-gap:var(--global-kb-gap-sm, 1rem);}.kadence-column_798775-17 > .kt-inside-inner-col{flex-direction:column;}.kadence-column_798775-17 > .kt-inside-inner-col > .aligncenter{width:100%;}.kadence-column_798775-17 > .kt-inside-inner-col:before{opacity:0.3;}.kadence-column_798775-17{position:relative;}@media all and (max-width: 1024px){.kadence-column_798775-17 > .kt-inside-inner-col{flex-direction:column;justify-content:center;}}@media all and (max-width: 767px){.kadence-column_798775-17 > .kt-inside-inner-col{flex-direction:column;justify-content:center;}}<\/style>\n<div class=\"wp-block-kadence-column inner-column-3 kadence-column_798775-17\"><div class=\"kt-inside-inner-col\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"427\" height=\"375\" src=\"https:\/\/insyte.website\/WordPress\/wp-content\/uploads\/2022\/11\/image-26.png\" alt=\"\" class=\"wp-image-1747\" srcset=\"https:\/\/insyte.website\/WordPress\/wp-content\/uploads\/2022\/11\/image-26.png 427w, https:\/\/insyte.website\/WordPress\/wp-content\/uploads\/2022\/11\/image-26-300x263.png 300w\" sizes=\"auto, (max-width: 427px) 100vw, 427px\"\/><figcaption class=\"wp-element-caption\">Zoom sur la r&eacute;ponse &agrave; l&rsquo;origine pour observer la tangente nulle &agrave; l&rsquo;origine<\/figcaption><\/figure>\n<\/div><\/div>\n<\/div><\/div><\/div>\n<\/div><\/div>\n<\/div><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Objectif : Distinguer une r&eacute;ponse du premier ou second ordre. Cela peut-&ecirc;tre utile en vue de faire la mod&eacute;lisation math&eacute;matique d&rsquo;un objet dans le cadre d&rsquo;une simulation. Les objets techniques (syst&egrave;mes, sous-syst&egrave;mes ou composants) r&eacute;agissent diff&eacute;remment selon leurs natures et selon l&rsquo;excitation &agrave; laquelle ils sont soumis. On appelle r&eacute;ponse indicielle la r&eacute;ponse &agrave; l&rsquo;&eacute;chelon&hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"menu_order":0,"template":"","meta":{"_kad_post_transparent":"","_kad_post_title":"","_kad_post_layout":"","_kad_post_sidebar_id":"","_kad_post_content_style":"","_kad_post_vertical_padding":"","_kad_post_feature":"","_kad_post_feature_position":"","_kad_post_header":false,"_kad_post_footer":false,"_kad_post_classname":"","footnotes":""},"glossary-categories":[],"glossary-tags":[],"glossary-languages":[],"class_list":["post-1729","glossary","type-glossary","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>R\u00e9ponses du 1er et 2\u00e8me ordre - Insyte.website<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/insyte.website\/WordPress\/glossary\/reponse-du-1er-et-2eme-ordre\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R\u00e9ponses du 1er et 2\u00e8me ordre - Insyte.website\" \/>\n<meta property=\"og:description\" content=\"Objectif : Distinguer une r&eacute;ponse du premier ou second ordre. Cela peut-&ecirc;tre utile en vue de faire la mod&eacute;lisation math&eacute;matique d&rsquo;un objet dans le cadre d&rsquo;une simulation. Les objets techniques (syst&egrave;mes, sous-syst&egrave;mes ou composants) r&eacute;agissent diff&eacute;remment selon leurs natures et selon l&rsquo;excitation &agrave; laquelle ils sont soumis. 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