{"id":1194,"date":"2021-03-08T16:00:11","date_gmt":"2021-03-08T08:00:11","guid":{"rendered":"http:\/\/www.unictron.com\/piezoelectric-components\/?page_id=1194"},"modified":"2021-03-08T16:00:12","modified_gmt":"2021-03-08T08:00:12","slug":"introduction-of-piezoelectric-simulation-technology-bolt-clamped-langevin-piezoelectric-transducer-as-an-example","status":"publish","type":"page","link":"https:\/\/www.unictron.com\/piezoelectric-components\/piezoelectric-technologies\/introduction-of-piezoelectric-simulation-technology-bolt-clamped-langevin-piezoelectric-transducer-as-an-example\/","title":{"rendered":"Introduction of piezoelectric simulation technology (Bolt Clamped Langevin piezoelectric transducer as an example)"},"content":{"rendered":"\n<p>Through the use of COMSOL software, Unictron has built simulation capability for piezoelectric elements and piezoelectric modules in recent years.&nbsp; The simulation technology uses mainly the principle of finite element method (FEM) to perform analysis and simulation. &nbsp;Finite Element Method (FEM) is a systematic method used for numerically solving differential equations or integral equations, thus it can solve for a variety of complex geometric shapes or different boundary conditions. &nbsp;By dividing a large system into smaller, simpler parts, i.e. finite elements, generating mesh, followed by optimization\/post-processing, simulation, modularization and other related functions, it can be used effectively to explain multiple coupling or multiple physical phenomena. &nbsp;Multi-physics coupling analysis can be used to simulate optics, structure, fluid, heat, chemistry, acoustics, etc. with applications in the fields of engineering, building, aerospace, semiconductor, medicine\u2026 etc.<\/p>\n\n\n\n<p>In the simulation process, the first step is to perform 2D\/3D modeling and to define the parameters in integral formula; the second step is to set material parameters of each part, such as density, Young`s modulus, Poisson`s ratio, thermal conductivity, etc. &nbsp;The meshing step is followed afterwards. &nbsp;By meshing, it means to divide the model structure into many small units. Tetrahedral meshes are typically used for segmentation in 3D models. &nbsp;When the model is divided into many small meshes, there are various mesh points at the end points which are also called nodes. &nbsp;The finite Element Method (FEM) is used to calculate the value at each node. &nbsp;The final step is to set the required expressions that need to be solved, such as frequency domain, steady state, time dependence, linear buckling, etc., to complete the simulation process<\/p>\n\n\n\n<p>Through the above simulation process, data such as the resonant frequency, resonant mode, stress analysis, amplitude analysis\u2026etc. for the piezoelectric element or piezoelectric module can be obtained. &nbsp;Based on the results of the analysis, optimization adjustments can be further proceeded, such as: modification of geometric shapes, materials, mechanisms, etc.<\/p>\n\n\n\n<p>Advantages of Simulation technology are as following:<\/p>\n\n\n\n<ul><li>Predict product performance state under different conditions<\/li><li>Design parameter can be quickly and conveniently adjusted according to simulation results<\/li><li>Reduce repetitive trial and error experimental process, shorten product development time, reduce greatly the material, manpower and time costs<\/li><li>Optimal design analysis and maximizing product effectiveness can be automatically performed by the software<\/li><li>In addition to new product development, it can also be used to optimize the existing products.<\/li><\/ul>\n\n\n\n<p>Below is an example using Bolt Clamped Langevin Transducer to illustrate the process and results of the simulation analysis:\uff0c<\/p>\n\n\n\n<ul><li>Fig. 1. 3D model building.<\/li><li>Fig. 2. Creation of a mesh after setting the material parameters of each component.<\/li><li>Fig. 3. Mode analysis in the simulation results uder the Z-axis vibration mode.<\/li><li>Fig. 4. Stress analysis in the simulation results. Stress distribution in the Bolt Clamped Langevin transducer structure can be analyzed.<\/li><li>Fig. 5. Frequency domain analysis in the simulation results. &nbsp;The resonant frequency is at 36 kHz for the Bolt Clamped Langevin transducer.<\/li><li>Fig.6. Vibrational displacement analysis in the simulation results. &nbsp;The displacement is 2.78\u03bcm for the Bolt Clamped Langevin transducer driving at 36 kHz \/ 10Vpp voltage.<\/li><\/ul>\n\n\n\n<p>Please refer to the figures below:<\/p>\n\n\n\n<div class=\"is-layout-flex wp-container-3 wp-block-columns\">\n<div class=\"is-layout-flow wp-block-column\">\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" src=\"https:\/\/i2.wp.com\/www.unictron.com\/piezoelectric-components\/wp-content\/uploads\/sites\/7\/2021\/03\/t17.png?w=350\" alt=\"\" class=\"wp-image-1196\" srcset=\"https:\/\/i2.wp.com\/www.unictron.com\/piezoelectric-components\/wp-content\/uploads\/sites\/7\/2021\/03\/t17.png?w=744&amp;ssl=1 744w, https:\/\/i2.wp.com\/www.unictron.com\/piezoelectric-components\/wp-content\/uploads\/sites\/7\/2021\/03\/t17.png?resize=300%2C239&amp;ssl=1 300w, https:\/\/i2.wp.com\/www.unictron.com\/piezoelectric-components\/wp-content\/uploads\/sites\/7\/2021\/03\/t17.png?resize=600%2C477&amp;ssl=1 600w\" sizes=\"(max-width: 744px) 100vw, 744px\" data-recalc-dims=\"1\" \/><figcaption>Fig. 1. 3D model building<\/figcaption><\/figure>\n<\/div>\n\n\n\n<div class=\"is-layout-flow wp-block-column\">\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" src=\"https:\/\/i2.wp.com\/www.unictron.com\/piezoelectric-components\/wp-content\/uploads\/sites\/7\/2021\/03\/t18.png?w=350\" alt=\"\" class=\"wp-image-1198\" srcset=\"https:\/\/i2.wp.com\/www.unictron.com\/piezoelectric-components\/wp-content\/uploads\/sites\/7\/2021\/03\/t18.png?w=813&amp;ssl=1 813w, https:\/\/i2.wp.com\/www.unictron.com\/piezoelectric-components\/wp-content\/uploads\/sites\/7\/2021\/03\/t18.png?resize=300%2C228&amp;ssl=1 300w, https:\/\/i2.wp.com\/www.unictron.com\/piezoelectric-components\/wp-content\/uploads\/sites\/7\/2021\/03\/t18.png?resize=768%2C585&amp;ssl=1 768w, https:\/\/i2.wp.com\/www.unictron.com\/piezoelectric-components\/wp-content\/uploads\/sites\/7\/2021\/03\/t18.png?resize=600%2C457&amp;ssl=1 600w\" sizes=\"(max-width: 813px) 100vw, 813px\" data-recalc-dims=\"1\" \/><figcaption>Fig. 2. Setting mesh<\/figcaption><\/figure>\n<\/div>\n<\/div>\n\n\n\n<div class=\"is-layout-flex wp-container-6 wp-block-columns\">\n<div class=\"is-layout-flow wp-block-column\">\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" src=\"https:\/\/i0.wp.com\/www.unictron.com\/piezoelectric-components\/wp-content\/uploads\/sites\/7\/2021\/03\/t19.png?w=350\" alt=\"\" class=\"wp-image-1200\" srcset=\"https:\/\/i0.wp.com\/www.unictron.com\/piezoelectric-components\/wp-content\/uploads\/sites\/7\/2021\/03\/t19.png?w=818&amp;ssl=1 818w, https:\/\/i0.wp.com\/www.unictron.com\/piezoelectric-components\/wp-content\/uploads\/sites\/7\/2021\/03\/t19.png?resize=300%2C241&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.unictron.com\/piezoelectric-components\/wp-content\/uploads\/sites\/7\/2021\/03\/t19.png?resize=768%2C617&amp;ssl=1 768w, https:\/\/i0.wp.com\/www.unictron.com\/piezoelectric-components\/wp-content\/uploads\/sites\/7\/2021\/03\/t19.png?resize=600%2C482&amp;ssl=1 600w\" sizes=\"(max-width: 818px) 100vw, 818px\" data-recalc-dims=\"1\" \/><figcaption>Fig. 3. The simulation results (Z-axis vibration mode)<\/figcaption><\/figure>\n<\/div>\n\n\n\n<div class=\"is-layout-flow wp-block-column\">\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" src=\"https:\/\/i2.wp.com\/www.unictron.com\/piezoelectric-components\/wp-content\/uploads\/sites\/7\/2021\/03\/t20.png?w=350\" alt=\"\" class=\"wp-image-1202\" srcset=\"https:\/\/i2.wp.com\/www.unictron.com\/piezoelectric-components\/wp-content\/uploads\/sites\/7\/2021\/03\/t20.png?w=818&amp;ssl=1 818w, https:\/\/i2.wp.com\/www.unictron.com\/piezoelectric-components\/wp-content\/uploads\/sites\/7\/2021\/03\/t20.png?resize=300%2C250&amp;ssl=1 300w, https:\/\/i2.wp.com\/www.unictron.com\/piezoelectric-components\/wp-content\/uploads\/sites\/7\/2021\/03\/t20.png?resize=768%2C639&amp;ssl=1 768w, https:\/\/i2.wp.com\/www.unictron.com\/piezoelectric-components\/wp-content\/uploads\/sites\/7\/2021\/03\/t20.png?resize=600%2C500&amp;ssl=1 600w\" sizes=\"(max-width: 818px) 100vw, 818px\" data-recalc-dims=\"1\" \/><figcaption>Fig. 4. The simulation results (stress analysis)<\/figcaption><\/figure>\n<\/div>\n<\/div>\n\n\n\n<div class=\"is-layout-flex wp-container-9 wp-block-columns\">\n<div class=\"is-layout-flow wp-block-column\">\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" src=\"https:\/\/i1.wp.com\/www.unictron.com\/piezoelectric-components\/wp-content\/uploads\/sites\/7\/2021\/03\/t21.png?w=350\" alt=\"\" class=\"wp-image-1204\" srcset=\"https:\/\/i1.wp.com\/www.unictron.com\/piezoelectric-components\/wp-content\/uploads\/sites\/7\/2021\/03\/t21.png?w=827&amp;ssl=1 827w, https:\/\/i1.wp.com\/www.unictron.com\/piezoelectric-components\/wp-content\/uploads\/sites\/7\/2021\/03\/t21.png?resize=300%2C253&amp;ssl=1 300w, https:\/\/i1.wp.com\/www.unictron.com\/piezoelectric-components\/wp-content\/uploads\/sites\/7\/2021\/03\/t21.png?resize=768%2C647&amp;ssl=1 768w, https:\/\/i1.wp.com\/www.unictron.com\/piezoelectric-components\/wp-content\/uploads\/sites\/7\/2021\/03\/t21.png?resize=600%2C506&amp;ssl=1 600w\" sizes=\"(max-width: 827px) 100vw, 827px\" data-recalc-dims=\"1\" \/><figcaption>Fig. 5. The simulation results (resonant frequency)<\/figcaption><\/figure>\n<\/div>\n\n\n\n<div class=\"is-layout-flow wp-block-column\">\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" src=\"https:\/\/i1.wp.com\/www.unictron.com\/piezoelectric-components\/wp-content\/uploads\/sites\/7\/2021\/03\/t22-1024x853.png?w=350\" alt=\"\" class=\"wp-image-1206\" srcset=\"https:\/\/i2.wp.com\/www.unictron.com\/piezoelectric-components\/wp-content\/uploads\/sites\/7\/2021\/03\/t22.png?resize=1024%2C853&amp;ssl=1 1024w, https:\/\/i2.wp.com\/www.unictron.com\/piezoelectric-components\/wp-content\/uploads\/sites\/7\/2021\/03\/t22.png?resize=300%2C250&amp;ssl=1 300w, https:\/\/i2.wp.com\/www.unictron.com\/piezoelectric-components\/wp-content\/uploads\/sites\/7\/2021\/03\/t22.png?resize=768%2C640&amp;ssl=1 768w, https:\/\/i2.wp.com\/www.unictron.com\/piezoelectric-components\/wp-content\/uploads\/sites\/7\/2021\/03\/t22.png?resize=600%2C500&amp;ssl=1 600w, https:\/\/i2.wp.com\/www.unictron.com\/piezoelectric-components\/wp-content\/uploads\/sites\/7\/2021\/03\/t22.png?w=1103&amp;ssl=1 1103w\" sizes=\"(max-width: 1000px) 100vw, 1000px\" data-recalc-dims=\"1\" \/><figcaption>Fig. 6. The simulation results (driving voltage at 10Vpp)<\/figcaption><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Through the use of COMSOL software, Unictron has built simulation capability for piezoelectric elements and piezoelectric modules in recent years.&nbsp; The simulation technology uses mainly the principle of finite element&hellip;<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":97,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"spay_email":""},"_links":{"self":[{"href":"https:\/\/www.unictron.com\/piezoelectric-components\/wp-json\/wp\/v2\/pages\/1194"}],"collection":[{"href":"https:\/\/www.unictron.com\/piezoelectric-components\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.unictron.com\/piezoelectric-components\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.unictron.com\/piezoelectric-components\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.unictron.com\/piezoelectric-components\/wp-json\/wp\/v2\/comments?post=1194"}],"version-history":[{"count":1,"href":"https:\/\/www.unictron.com\/piezoelectric-components\/wp-json\/wp\/v2\/pages\/1194\/revisions"}],"predecessor-version":[{"id":1208,"href":"https:\/\/www.unictron.com\/piezoelectric-components\/wp-json\/wp\/v2\/pages\/1194\/revisions\/1208"}],"up":[{"embeddable":true,"href":"https:\/\/www.unictron.com\/piezoelectric-components\/wp-json\/wp\/v2\/pages\/97"}],"wp:attachment":[{"href":"https:\/\/www.unictron.com\/piezoelectric-components\/wp-json\/wp\/v2\/media?parent=1194"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}