{"id":125,"date":"2017-07-28T08:39:31","date_gmt":"2017-07-28T08:39:31","guid":{"rendered":"http:\/\/pafec.kevinit.co.uk\/?page_id=125"},"modified":"2017-08-24T09:09:20","modified_gmt":"2017-08-24T09:09:20","slug":"radiation-from-a-diamond-array-of-ring-transducers","status":"publish","type":"page","link":"https:\/\/pafec.kevinit.co.uk\/index.php\/pafec-vibroacoustics-application-areas\/underwater-acoustics\/array-design\/radiation-from-a-diamond-array-of-ring-transducers\/","title":{"rendered":"Radiation from a diamond array of ring transducers"},"content":{"rendered":"<p>The diamond array is made up of four radially polarised ceramic (e.g. PZT4) ring transducers. Each transducer is surrounded by an acoustically neutral, flexible waterproof plastic (not required in FE\/BE model). The diamond array is symmetric about the XY plane; therefore it is sufficient to create only a 3D half model. (Note: there is also a YZ plane of symmetry which could have been utilised to reduce the model still further to a 3D quarter model).<\/p>\n<p>The transmit (active) excitation case will be considered:<\/p>\n<p><span style=\"font-size: 1.0625rem;\"><br \/>\nThe PZT4 ceramic is modelled with 3D piezoelectric elements.<\/span><\/p>\n<table border=\"0\" width=\"95%\" style=\"border:none;\">\n<tbody>\n<tr>\n<td style=\"border:none;\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-576\" src=\"\/wp-content\/uploads\/2017\/08\/DiaAr-01-391x401.gif\" alt=\"\" width=\"391\" height=\"401\" \/><\/td>\n<td style=\"border:none;\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-577\" src=\"\/wp-content\/uploads\/2017\/08\/DiaAr-02-446x396.gif\" alt=\"\" width=\"446\" height=\"396\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>The boundary element mesh, modelling the fluid consists of a continuous sequence of eight noded quadratic patches surrounding the structural elements.<\/p>\n<p>The pressure field around the transducer is illustrated with a mesh of acoustic display elements on planes at Z=0m and X=0.120065m.<\/p>\n<table border=\"0\" width=\"95%\" style=\"border:none;\">\n<tbody>\n<tr>\n<td style=\"border:none;\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-578\" src=\"\/wp-content\/uploads\/2017\/08\/DiaAr-03-414x417.gif\" alt=\"\" width=\"414\" height=\"417\" \/><\/td>\n<td style=\"border:none;\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-579\" src=\"\/wp-content\/uploads\/2017\/08\/DiaAr-04-391x425.gif\" alt=\"\" width=\"391\" height=\"425\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Note: Only the acoustic display element plane at Z=0 has been shown in the above diagram, so that the regions of acoustic boundary element patches can be clearly seen.<\/p>\n<table style=\"font-size: 1.0625rem;\" border=\"0\" width=\"95%\" style=\"border:none;\">\n<tbody>\n<tr>\n<td align=\"center\" style=\"border:none;\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-580\" src=\"\/wp-content\/uploads\/2017\/08\/DiaAr-05-422x442.gif\" alt=\"\" width=\"422\" height=\"442\" \/>Animated deformed shape at 7500Hz.<\/td>\n<td align=\"center\" width=\"45%\" style=\"border:none;\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-583\" src=\"\/wp-content\/uploads\/2017\/08\/DiaAr-08-251x281.gif\" alt=\"\" width=\"251\" height=\"281\" \/><br \/>\nThe excitation has been defined so that rings 1 and 4 are in phase; ring 2 is 90<sup>o<\/sup>\u00a0behind and ring 3 is 90<sup>o<\/sup>\u00a0in front.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter size-full wp-image-582\" src=\"\/wp-content\/uploads\/2017\/08\/DiaAr-07-455x400.gif\" alt=\"\" width=\"455\" height=\"400\" \/><\/p>\n<p style=\"text-align: center;\">Hydrophone node positions.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter size-full wp-image-593\" src=\"\/wp-content\/uploads\/2017\/08\/DiaAr-21-588x398.gif\" alt=\"\" width=\"588\" height=\"398\" \/><\/p>\n<p style=\"text-align: center;\">Graphs of SPL (dB) v Frequency (Hz) at selected hydrophone positions<\/p>\n<p>&nbsp;<\/p>\n<table border=\"0\" width=\"95%\" style=\"border:none;\">\n<tbody>\n<tr>\n<td align=\"center\" style=\"border:none;\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-581\" src=\"\/wp-content\/uploads\/2017\/08\/DiaAr-06-422x442.gif\" alt=\"\" width=\"422\" height=\"442\" \/><br \/>\nSPL distribution at 7500Hz.<\/td>\n<td align=\"center\" width=\"45%\" style=\"border:none;\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-532\" src=\"\/wp-content\/uploads\/2017\/08\/DiaAr-09-422x442.gif\" alt=\"\" width=\"422\" height=\"442\" \/><br \/>\nAnimation of pressure contours at 7500Hz.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table border=\"0\" width=\"95%\" style=\"border:none;\">\n<tbody>\n<tr>\n<td align=\"center\" style=\"border:none;\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-585\" src=\"\/wp-content\/uploads\/2017\/08\/DiaAr-10-330x292.gif\" alt=\"\" width=\"330\" height=\"292\" \/>Directivities from axis set 1<br \/>\n(global XY plane)<\/td>\n<td align=\"center\" style=\"border:none;\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-586\" src=\"\/wp-content\/uploads\/2017\/08\/DiaAr-11-332x291.gif\" alt=\"\" width=\"332\" height=\"291\" \/>Directivities from axis set 31<br \/>\n(global YZ plane)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>For the transmit (active) case graphs of admittance, impedance, conductance, susceptance, resistance and reactance may also be plotted.<\/p>\n<table border=\"0\" width=\"95%\" style=\"border:none;\">\n<tbody>\n<tr>\n<td align=\"center\" style=\"border:none;\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-587\" src=\"\/wp-content\/uploads\/2017\/08\/DiaAr-13-437x310.gif\" alt=\"\" width=\"437\" height=\"310\" \/><\/td>\n<td align=\"center\" style=\"border:none;\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-588\" src=\"\/wp-content\/uploads\/2017\/08\/DiaAr-14-432x314.gif\" alt=\"\" width=\"432\" height=\"314\" \/><\/td>\n<\/tr>\n<tr>\n<td align=\"center\" style=\"border:none;\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-589\" src=\"\/wp-content\/uploads\/2017\/08\/DiaAr-15-433x309.gif\" alt=\"\" width=\"433\" height=\"309\" \/><\/td>\n<td align=\"center\" style=\"border:none;\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-590\" src=\"\/wp-content\/uploads\/2017\/08\/DiaAr-16-432x316.gif\" alt=\"\" width=\"432\" height=\"316\" \/><\/td>\n<\/tr>\n<tr>\n<td align=\"center\" style=\"border:none;\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-591\" src=\"\/wp-content\/uploads\/2017\/08\/DiaAr-17-429x305.gif\" alt=\"\" width=\"429\" height=\"305\" \/><\/td>\n<td align=\"center\" style=\"border:none;\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-592\" src=\"\/wp-content\/uploads\/2017\/08\/DiaAr-18-434x309.gif\" alt=\"\" width=\"434\" height=\"309\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>The diamond array is made up of four radially polarised ceramic (e.g. PZT4) ring transducers. Each transducer is surrounded by[&#8230;]<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":112,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"https:\/\/pafec.kevinit.co.uk\/index.php\/wp-json\/wp\/v2\/pages\/125"}],"collection":[{"href":"https:\/\/pafec.kevinit.co.uk\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/pafec.kevinit.co.uk\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/pafec.kevinit.co.uk\/index.php\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/pafec.kevinit.co.uk\/index.php\/wp-json\/wp\/v2\/comments?post=125"}],"version-history":[{"count":8,"href":"https:\/\/pafec.kevinit.co.uk\/index.php\/wp-json\/wp\/v2\/pages\/125\/revisions"}],"predecessor-version":[{"id":852,"href":"https:\/\/pafec.kevinit.co.uk\/index.php\/wp-json\/wp\/v2\/pages\/125\/revisions\/852"}],"up":[{"embeddable":true,"href":"https:\/\/pafec.kevinit.co.uk\/index.php\/wp-json\/wp\/v2\/pages\/112"}],"wp:attachment":[{"href":"https:\/\/pafec.kevinit.co.uk\/index.php\/wp-json\/wp\/v2\/media?parent=125"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}