{"id":879,"date":"2011-06-19T21:36:38","date_gmt":"2011-06-19T21:36:38","guid":{"rendered":"http:\/\/localhost\/wordpress\/index.php\/topologyoptimization\/"},"modified":"2017-08-14T13:33:59","modified_gmt":"2017-08-14T11:33:59","slug":"topologyoptimization","status":"publish","type":"page","link":"https:\/\/www.eda-ltd.com.tr\/index.php\/en\/topologyoptimization\/","title":{"rendered":"Topology Optimization"},"content":{"rendered":"<p>&nbsp;<\/p>\n<p><span style=\"font-size: medium;\"><strong>Topology Optimization<br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\">\n<p style=\"text-align: justify;\"><span style=\"font-family: arial,helvetica,sans-serif;\"><span style=\"font-size: small;\">It is quite possible to obtain the most feasible material distribution of a designed object which is optimum in terms of stress, heat or pressure distribution during the first phase of a design process, even before dimensioning takes place. Visualization of an optimized topological layout is accomplished by extracting redundant areas or volumes from the computational domain in accordance with load balance. EDA benefits from three different methods while executing topology optimization processes:<\/span><\/span><\/p>\n<ul>\n<li style=\"text-indent: 0px;\"><span style=\"font-size: small; font-family: arial,helvetica,sans-serif;\">Sensitivity analysis based<\/span><\/li>\n<li style=\"text-indent: 0px;\"><span style=\"font-size: small; font-family: arial,helvetica,sans-serif;\"><span style=\"font-size: small;\">Gradient-based<\/span><br \/>\n<\/span><\/li>\n<li style=\"text-indent: 0px;\"><span style=\"font-size: small; font-family: arial,helvetica,sans-serif;\"><span style=\"font-size: small;\">Genetic based<\/span><\/span><\/li>\n<\/ul>\n<p><span style=\"font-size: small; font-family: arial,helvetica,sans-serif;\"><span style=\"font-size: small;\">Two examples related to this topic are given below:<br \/>\n<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: arial,helvetica,sans-serif; font-size: small;\"><em><strong>Example &#8211; 1 :<\/strong> (Figure 1.)Topology optimization of a constant spar wing under aerodynamic loads using a density distribution method<\/em>.<\/span><\/p>\n<p><span style=\"font-family: arial,helvetica,sans-serif;\"><img loading=\"lazy\" style=\"display: block; margin-left: auto; margin-right: auto;\" src=\"https:\/\/www.eda-ltd.com.tr\/wp-content\/uploads\/2011\/06\/muh_tasarim2.jpg\" width=\"626\" height=\"148\" border=\"0\" \/><\/span><\/p>\n<p><span style=\"font-family: arial,helvetica,sans-serif;\"><img loading=\"lazy\" style=\"display: block; margin-left: auto; margin-right: auto;\" src=\"https:\/\/www.eda-ltd.com.tr\/wp-content\/uploads\/2011\/06\/muh_tasarim3.jpg\" width=\"29\" height=\"40\" border=\"0\" \/><\/span><\/p>\n<p><span style=\"font-family: arial,helvetica,sans-serif;\"><img loading=\"lazy\" style=\"display: block; margin-left: auto; margin-right: auto;\" src=\"https:\/\/www.eda-ltd.com.tr\/wp-content\/uploads\/2011\/06\/muh_tasarim4.jpg\" width=\"590\" height=\"90\" border=\"0\" \/><\/span><\/p>\n<blockquote><p><span style=\"font-family: arial,helvetica,sans-serif; font-size: small;\"><em><strong>Figure 1.<\/strong> Interior structure of a n airplane wing under aerodynamic loads. The shape is resulted from topology optimization in which the upper and lower faces are subjected to aerodynamic loads. The optimization has been done in <a href=\"index.php\/en\/products\/caeeda\" target=\"_blank\" rel=\"noopener\"><span style=\"color: blue;\">CAEeda<span style=\"font-size: xx-small;\"><sup>TM<\/sup> <\/span><\/span><\/a><\/em><\/span><\/p><\/blockquote>\n<p><em><span style=\"font-family: arial,helvetica,sans-serif;\"><span style=\"font-size: small;\"><strong>Example &#8211; 2 <\/strong>: (Figure 2.) Topology optimization of a variable spar wing under aerodynamic loads using a density distribution method<\/span><\/span><\/em><\/p>\n<p><span style=\"font-family: arial,helvetica,sans-serif;\"><img loading=\"lazy\" style=\"display: block; margin-left: auto; margin-right: auto;\" src=\"https:\/\/www.eda-ltd.com.tr\/wp-content\/uploads\/2011\/06\/muh_tasarim5.jpg\" width=\"671\" height=\"155\" border=\"0\" \/><\/span><\/p>\n<p><span style=\"font-family: arial,helvetica,sans-serif;\"><span style=\"font-size: small;\"><em><img src=\"https:\/\/www.eda-ltd.com.tr\/wp-content\/uploads\/2011\/06\/ana_ara.jpg\" \/> a. Surface view of original cantilever wing geometry b. Applied pressure loads on upper and lower faces <\/em><\/span><br \/>\n<\/span><\/p>\n<p><span style=\"font-family: arial,helvetica,sans-serif;\"><img loading=\"lazy\" style=\"display: block; margin-left: auto; margin-right: auto;\" src=\"https:\/\/www.eda-ltd.com.tr\/wp-content\/uploads\/2011\/06\/muh_tasarim6.jpg\" width=\"631\" height=\"111\" border=\"0\" \/><\/span><\/p>\n<p style=\"text-align: left;\"><span style=\"font-family: arial,helvetica,sans-serif; font-size: small;\"><em><img loading=\"lazy\" src=\"https:\/\/www.eda-ltd.com.tr\/wp-content\/uploads\/2011\/06\/ana_ara.jpg\" width=\"55\" height=\"23\" \/>c. The first step of optimization<img src=\"https:\/\/www.eda-ltd.com.tr\/wp-content\/uploads\/2011\/06\/ana_ara.jpg\" \/> <img loading=\"lazy\" src=\"https:\/\/www.eda-ltd.com.tr\/wp-content\/uploads\/2011\/06\/ana_ara.jpg\" width=\"117\" height=\"23\" border=\"0\" \/>d.Final step of optimization<\/em><\/span><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center;\"><em><span style=\"font-family: arial,helvetica,sans-serif;\"><span style=\"font-size: x-small;\"><img loading=\"lazy\" style=\"border: 0pt none; margin: -50px 5px;\" src=\"https:\/\/www.eda-ltd.com.tr\/wp-content\/uploads\/2011\/06\/muh_tasarim7.jpg\" width=\"599\" height=\"135\" border=\"0\" \/><\/span><br \/>\n<\/span><\/em><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center;\">\n<p>&nbsp;<\/p>\n<p style=\"text-align: center;\" title=\"test\">\n<p style=\"text-align: center;\" title=\"test\"><em><span style=\"font-family: arial,helvetica,sans-serif; font-size: small;\"><em>e. Remove low-density areas (regions below 0.3 density are removed) <img loading=\"lazy\" style=\"border: 0pt none;\" src=\"http:\/\/localhost\/wordpress\/wp-content\/uploads\/2011\/06\/ana_ara.jpg\" width=\"0\" height=\"14\" border=\"0\" \/><\/em><em>f. Vertical cross-section from a one-quarter span position<\/em><\/span><\/em><\/p>\n<p style=\"text-align: center; margin-top: -5pt;\" title=\"test\"><em><br \/>\n<span style=\"font-family: arial,helvetica,sans-serif; font-size: small;\"><em><strong>Figure 2. <\/strong>Interior structure of an airplane wing under aerodynamic loads. The shape is a result of topology optimization in which the upper and lower faces are subjected to aerodynamic loads. The optimization has been done in CAEeda. <\/em><\/span><\/em><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; Topology Optimization It is quite possible to obtain the most feasible material distribution of a designed object which is optimum in terms of stress, heat or pressure distribution during the first phase of a design process, even before dimensioning takes place. Visualization of an optimized topological layout is accomplished by extracting redundant areas or [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":97,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"https:\/\/www.eda-ltd.com.tr\/index.php\/wp-json\/wp\/v2\/pages\/879"}],"collection":[{"href":"https:\/\/www.eda-ltd.com.tr\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.eda-ltd.com.tr\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.eda-ltd.com.tr\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.eda-ltd.com.tr\/index.php\/wp-json\/wp\/v2\/comments?post=879"}],"version-history":[{"count":6,"href":"https:\/\/www.eda-ltd.com.tr\/index.php\/wp-json\/wp\/v2\/pages\/879\/revisions"}],"predecessor-version":[{"id":1839,"href":"https:\/\/www.eda-ltd.com.tr\/index.php\/wp-json\/wp\/v2\/pages\/879\/revisions\/1839"}],"wp:attachment":[{"href":"https:\/\/www.eda-ltd.com.tr\/index.php\/wp-json\/wp\/v2\/media?parent=879"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}