{"id":1158,"date":"2026-04-01T09:45:00","date_gmt":"2026-04-01T00:45:00","guid":{"rendered":"https:\/\/www.muratasoftware.com\/en_wacul_new\/fwp-new-wacul\/?post_type=case&#038;p=1158"},"modified":"2026-08-24T16:36:34","modified_gmt":"2026-08-24T07:36:34","slug":"raymac001","status":"publish","type":"case","link":"https:\/\/www.muratasoftware.com\/en\/case\/raymac001\/","title":{"rendered":"Ultrasonic Sensor"},"content":{"rendered":"\n<figure class=\"wp-block-table blockPattern__table\"><table><thead><tr><th>General<\/th><th>Ultrasonic sensor is used for preventing automotive collision. Its directivity of the beam is required to be vertically narrow so as not to react to the curbstones, and horizontally wide so that the number of components is reduced.<br>In this application, an ultrasonic sensor made by piezoelectric element is analyzed.<\/th><\/tr><\/thead><tbody><tr><td>Analysis Model<\/td><td>An analysis model is shown in Fig. 1. A piezoelectric element is attached to the case. It is driven by voltage. The piezoelectric-acoustic coupled analysis is performed to analyze the directivity of the sound wave.<\/td><\/tr><tr><td>Result<\/td><td>Fig. 2 shows piezoelectric analysis results of a symmetric quarter model. It is confirmed from the deformed shape that the desired vibration characteristics of the case are obtained.<br>Fig. 3 shows the acoustic analysis results of sound pressure distribution, and Fig. 4 shows the directivity.<br>It is confirmed that the horizontal and vertical directivities are obtained as desired.<\/td><\/tr><tr><td>Keywords<\/td><td>Automotive Ultrasonic Sensors, Obstacle Detection, Directivity Analysis, Sound Pressure Distribution, Housing Vibration, Piezoelectric-Acoustic Coupled Analysis<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div class=\"wp-block-columns blockPattern__column is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>Analysis model<\/p>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-1 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure data-wp-context=\"{&quot;imageId&quot;:&quot;6abb6cb9d6608&quot;}\" data-wp-interactive=\"core\/image\" data-wp-key=\"6abb6cb9d6608\" class=\"wp-block-image size-full wp-lightbox-container\"><img loading=\"lazy\" decoding=\"async\" width=\"480\" height=\"359\" data-wp-class--hide=\"state.isContentHidden\" data-wp-class--show=\"state.isContentVisible\" data-wp-init=\"callbacks.setButtonStyles\" data-wp-on--click=\"actions.showLightbox\" data-wp-on--load=\"callbacks.setButtonStyles\" data-wp-on-window--resize=\"callbacks.setButtonStyles\" data-id=\"3275\" src=\"https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/figure1-1-1.png\" alt=\"\" class=\"wp-image-3275\" srcset=\"https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/figure1-1-1.png 480w, https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/figure1-1-1-300x224.png 300w\" sizes=\"auto, (max-width: 480px) 100vw, 480px\" \/><button\n\t\t\tclass=\"lightbox-trigger\"\n\t\t\ttype=\"button\"\n\t\t\taria-haspopup=\"dialog\"\n\t\t\taria-label=\"\u62e1\u5927\u3059\u308b\"\n\t\t\tdata-wp-init=\"callbacks.initTriggerButton\"\n\t\t\tdata-wp-on--click=\"actions.showLightbox\"\n\t\t\tdata-wp-style--right=\"state.imageButtonRight\"\n\t\t\tdata-wp-style--top=\"state.imageButtonTop\"\n\t\t>\n\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"12\" height=\"12\" fill=\"none\" viewBox=\"0 0 12 12\">\n\t\t\t\t<path fill=\"#fff\" d=\"M2 0a2 2 0 0 0-2 2v2h1.5V2a.5.5 0 0 1 .5-.5h2V0H2Zm2 10.5H2a.5.5 0 0 1-.5-.5V8H0v2a2 2 0 0 0 2 2h2v-1.5ZM8 12v-1.5h2a.5.5 0 0 0 .5-.5V8H12v2a2 2 0 0 1-2 2H8Zm2-12a2 2 0 0 1 2 2v2h-1.5V2a.5.5 0 0 0-.5-.5H8V0h2Z\" \/>\n\t\t\t<\/svg>\n\t\t<\/button><\/figure>\n<\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>Piezoelectric analysis results of a symmetric quarter model<\/p>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-2 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure data-wp-context=\"{&quot;imageId&quot;:&quot;6abb6cb9d6fdf&quot;}\" data-wp-interactive=\"core\/image\" data-wp-key=\"6abb6cb9d6fdf\" class=\"wp-block-image size-full wp-lightbox-container\"><img loading=\"lazy\" decoding=\"async\" width=\"480\" height=\"359\" data-wp-class--hide=\"state.isContentHidden\" data-wp-class--show=\"state.isContentVisible\" data-wp-init=\"callbacks.setButtonStyles\" data-wp-on--click=\"actions.showLightbox\" data-wp-on--load=\"callbacks.setButtonStyles\" data-wp-on-window--resize=\"callbacks.setButtonStyles\" data-id=\"3276\" src=\"https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/figure2-1-1.png\" alt=\"\" class=\"wp-image-3276\" srcset=\"https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/figure2-1-1.png 480w, https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/figure2-1-1-300x224.png 300w\" sizes=\"auto, (max-width: 480px) 100vw, 480px\" \/><button\n\t\t\tclass=\"lightbox-trigger\"\n\t\t\ttype=\"button\"\n\t\t\taria-haspopup=\"dialog\"\n\t\t\taria-label=\"\u62e1\u5927\u3059\u308b\"\n\t\t\tdata-wp-init=\"callbacks.initTriggerButton\"\n\t\t\tdata-wp-on--click=\"actions.showLightbox\"\n\t\t\tdata-wp-style--right=\"state.imageButtonRight\"\n\t\t\tdata-wp-style--top=\"state.imageButtonTop\"\n\t\t>\n\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"12\" height=\"12\" fill=\"none\" viewBox=\"0 0 12 12\">\n\t\t\t\t<path fill=\"#fff\" d=\"M2 0a2 2 0 0 0-2 2v2h1.5V2a.5.5 0 0 1 .5-.5h2V0H2Zm2 10.5H2a.5.5 0 0 1-.5-.5V8H0v2a2 2 0 0 0 2 2h2v-1.5ZM8 12v-1.5h2a.5.5 0 0 0 .5-.5V8H12v2a2 2 0 0 1-2 2H8Zm2-12a2 2 0 0 1 2 2v2h-1.5V2a.5.5 0 0 0-.5-.5H8V0h2Z\" \/>\n\t\t\t<\/svg>\n\t\t<\/button><\/figure>\n<\/figure>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns blockPattern__column is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>Acoustic analysis results of sound pressure distribution&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-3 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure data-wp-context=\"{&quot;imageId&quot;:&quot;6abb6cb9d73f9&quot;}\" data-wp-interactive=\"core\/image\" data-wp-key=\"6abb6cb9d73f9\" class=\"wp-block-image size-full wp-lightbox-container\"><img loading=\"lazy\" decoding=\"async\" width=\"480\" height=\"359\" data-wp-class--hide=\"state.isContentHidden\" data-wp-class--show=\"state.isContentVisible\" data-wp-init=\"callbacks.setButtonStyles\" data-wp-on--click=\"actions.showLightbox\" data-wp-on--load=\"callbacks.setButtonStyles\" data-wp-on-window--resize=\"callbacks.setButtonStyles\" data-id=\"3277\" src=\"https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/figure3-2.png\" alt=\"\" class=\"wp-image-3277\" srcset=\"https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/figure3-2.png 480w, https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/figure3-2-300x224.png 300w\" sizes=\"auto, (max-width: 480px) 100vw, 480px\" \/><button\n\t\t\tclass=\"lightbox-trigger\"\n\t\t\ttype=\"button\"\n\t\t\taria-haspopup=\"dialog\"\n\t\t\taria-label=\"\u62e1\u5927\u3059\u308b\"\n\t\t\tdata-wp-init=\"callbacks.initTriggerButton\"\n\t\t\tdata-wp-on--click=\"actions.showLightbox\"\n\t\t\tdata-wp-style--right=\"state.imageButtonRight\"\n\t\t\tdata-wp-style--top=\"state.imageButtonTop\"\n\t\t>\n\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"12\" height=\"12\" fill=\"none\" viewBox=\"0 0 12 12\">\n\t\t\t\t<path fill=\"#fff\" d=\"M2 0a2 2 0 0 0-2 2v2h1.5V2a.5.5 0 0 1 .5-.5h2V0H2Zm2 10.5H2a.5.5 0 0 1-.5-.5V8H0v2a2 2 0 0 0 2 2h2v-1.5ZM8 12v-1.5h2a.5.5 0 0 0 .5-.5V8H12v2a2 2 0 0 1-2 2H8Zm2-12a2 2 0 0 1 2 2v2h-1.5V2a.5.5 0 0 0-.5-.5H8V0h2Z\" \/>\n\t\t\t<\/svg>\n\t\t<\/button><\/figure>\n<\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>Directivity<\/p>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-4 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure data-wp-context=\"{&quot;imageId&quot;:&quot;6abb6cb9d77e9&quot;}\" data-wp-interactive=\"core\/image\" data-wp-key=\"6abb6cb9d77e9\" class=\"wp-block-image size-full wp-lightbox-container\"><img loading=\"lazy\" decoding=\"async\" width=\"454\" height=\"319\" data-wp-class--hide=\"state.isContentHidden\" data-wp-class--show=\"state.isContentVisible\" data-wp-init=\"callbacks.setButtonStyles\" data-wp-on--click=\"actions.showLightbox\" data-wp-on--load=\"callbacks.setButtonStyles\" data-wp-on-window--resize=\"callbacks.setButtonStyles\" data-id=\"3278\" src=\"https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/figure4e-1.png\" alt=\"\" class=\"wp-image-3278\" srcset=\"https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/figure4e-1.png 454w, https:\/\/www.muratasoftware.com\/en\/fwp\/wp-content\/uploads\/2026\/04\/figure4e-1-300x211.png 300w\" sizes=\"auto, (max-width: 454px) 100vw, 454px\" \/><button\n\t\t\tclass=\"lightbox-trigger\"\n\t\t\ttype=\"button\"\n\t\t\taria-haspopup=\"dialog\"\n\t\t\taria-label=\"\u62e1\u5927\u3059\u308b\"\n\t\t\tdata-wp-init=\"callbacks.initTriggerButton\"\n\t\t\tdata-wp-on--click=\"actions.showLightbox\"\n\t\t\tdata-wp-style--right=\"state.imageButtonRight\"\n\t\t\tdata-wp-style--top=\"state.imageButtonTop\"\n\t\t>\n\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"12\" height=\"12\" fill=\"none\" viewBox=\"0 0 12 12\">\n\t\t\t\t<path fill=\"#fff\" d=\"M2 0a2 2 0 0 0-2 2v2h1.5V2a.5.5 0 0 1 .5-.5h2V0H2Zm2 10.5H2a.5.5 0 0 1-.5-.5V8H0v2a2 2 0 0 0 2 2h2v-1.5ZM8 12v-1.5h2a.5.5 0 0 0 .5-.5V8H12v2a2 2 0 0 1-2 2H8Zm2-12a2 2 0 0 1 2 2v2h-1.5V2a.5.5 0 0 0-.5-.5H8V0h2Z\" \/>\n\t\t\t<\/svg>\n\t\t<\/button><\/figure>\n<\/figure>\n<\/div>\n<\/div>\n\n\n\n<p><\/p>\n","protected":false},"featured_media":3278,"template":"","meta":{"_acf_changed":false},"case_category":[32,33],"class_list":["post-1158","case","type-case","status-publish","has-post-thumbnail","hentry","case_category-rayleigh","case_category-mach"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.muratasoftware.com\/en\/wp-json\/wp\/v2\/case\/1158","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.muratasoftware.com\/en\/wp-json\/wp\/v2\/case"}],"about":[{"href":"https:\/\/www.muratasoftware.com\/en\/wp-json\/wp\/v2\/types\/case"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.muratasoftware.com\/en\/wp-json\/wp\/v2\/media\/3278"}],"wp:attachment":[{"href":"https:\/\/www.muratasoftware.com\/en\/wp-json\/wp\/v2\/media?parent=1158"}],"wp:term":[{"taxonomy":"case_category","embeddable":true,"href":"https:\/\/www.muratasoftware.com\/en\/wp-json\/wp\/v2\/case_category?post=1158"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}