Comsol shape optimization

Comsol shape optimization. In this blog post, we will provide two examples of how you can benefit from using shape optimization and show you what you can achieve when applying the shape optimization features in the COMSOL Multiphysics ® software to microwave and millimeter-wave (mmWave) applications. Browse to the model’s Application Libraries folder and double-click the file. 4 Locate the Control Variable Settings section. If you have a single objective function that you want to improve, a set of geometric parameters that you want to change, as well as a set of constraints, then you can use the functionality of the Optimization Module and the Deformed Geometry interface in Shape Optimization of a Plate Heat Exchanger This model demonstrates how to use the built-in shape optimization functionality to improve the performance of a plate heat exchanger. Symmetry/Roller 1 1 In In a keynote talk at COMSOL Day: Acoustics, René Christensen of Acculution discusses loudspeaker simulation and shares examples from his own work. The four-digit NACA airfoil is an airfoil shape developed by the National Advisory Committee for Aeronautics (NACA), the precursor to the National Aeronautics and Space Administration (NASA). model Bracket — Topology Optimization shows how multiple load cases can be used to find design that are robust to load variations. OPTIMIZATION ALGORITHMS There are four optimization algorithms for gradient-based optimization available in the Optimization Module. The objective is to achieve a uniform magnetic field along the coil axis and a field minimum near the axis ends. A plane-wave mode feeds an axisymmetric horn radiating from an infinite baffle toward an open half space; see Figure 1. Right-click Results>Datasets and choose More2DDatasets>Mirror2D. Particular functionality may be common to several products. This model demonstrates how to find the optimal size and position of a water pipe in an air chamber, so that the energy absorption in the water is maximized. The results of the initial design are exported to a new component via a Filter dataset. Notes About the COMSOL Implementation Durée: 1:01:38. Shape optimization can be used to deform the boundaries of an Optimization of a Photonic Crystal for Demultiplexing. Dec 19, 2023 · December 19, 2023. The IPOPT optimization solver is combined with the Free Shape Boundary feature to increase the moment of inertia for a flywheel without increasing the mass or the Jan 22, 2024 · COMSOL Multiphysics ® supports both optimization types listed here, but this blog post will focus on gradient-based optimization. This is possible to do within the COMSOL Multiphysics® software by using the add-on AC/DC Module and Optimization Module to combine parameter and shape optimization. You will see several examples of how to perform shape The reactor in study is a planar ICP with the coils distributed along the radial direction. Nov 15, 2019 · The COMSOL Multiphysics® software supports gradient-based shape optimization by fixing the mesh topology; i. The geometry if fully built and parametrized in COMSOL Multiphysics (taking advantage of Geometry Parts; geometrical construction requires Design Module). A target electron density in the reactor center is also imposed by varying the coil power. In the ModelBuilder window, expand the Results>Datasets node. Both the SNOPT and MMA methods use the analytically computed sensitivities, but SNOPT converges the fastest to within the default tolerance of 1E-6. The optimization reduces the path immediately in front of the inlets and outlets to increase the length of typical streamlines. The requirements give limits both on the lowest natural frequency, and on the maximum stress in a static load case. Several piezoelectric cantilever geometries with various shapes (rectangular, triangular, circular, and trapezoidal cross section) are tested in COMSOL multiphysics simulator to find the best geometry that Expand Jan 13, 2016 · The NACA Airfoil Optimization app allows for the computation of the lift and drag forces on a fully parameterized NACA airfoil. You will get a demonstration of a shape optimization study for a structural mechanics problem, learn how to identify and avoid potential issues, and see how to optimize for several Dec 24, 2015 · The SNOPT method is used to solve the optimization problem. The result Dec 16, 2022 · Shape optimization can be used to enhance device design in many application areas, including electromagnetics and RF. The resulting design is remeshed in the deformed configuration and the performance is investigated for a range of Reynolds numbers. The shape optimization of the magnet system, Figure 1, results in a shape similar to that of the topology optimization in the Application Gallery model, only the objective (maximize the Bl-factor) is better met with the current shape optimization than the original topology optimization. Application ID: 93771. In the Settings window for Geometry, locate the Units section. The Optimization interface and Optimization study step in COMSOL Multiphysics® are useful for solving design problems as well as inverse problems and parameter estimation. A waveguide filter is designed using shape optimization. 2 In the Settings window for Polynomial Boundary, locate the Boundary Selection section. For the sake of simplicity, the far-field sound pressure level is maximized for a single frequency and in a single direction. This model demonstrate how to optimize the size and position of the tubes in a tube and shell heat exchanger. The results from this analysis shows that by changing the shape of the horn within the limits of the selected parametrization, the on-axis sound pressure level can be raised by about 1 dB compared to the simple cone. Set up a Mirror dataset which can be used for plotting the whole geometry rather than just the left half. Loudspeaker Spider Optimization. The combination of COMSOL ® products required to model your application depends on several factors and may include boundary conditions, material properties, physics interfaces, and part libraries. The geometry consists of a circular domain with one input port and two output ports. The Shape Optimization () study step is a simplified version of the Optimization study step, so that only options relevant for shape optimization are available. Multistudy Optimization of a Bracket. theta_p. SHAPE OPTIMIZATION Solver Configurations In the Model Builder window, expand the Shape Optimization>Solver Configurations node This example shows how to apply boundary shape optimization to a simple axisymmetric horn. Mirror 2D 1. A waveguide filter is designed using shape optimization by moving and scaling rectangles in the geometry. In the d max text field, type L3/2. User Interface. Shape optimization works by changing the shape of the steps in the bearing, whereas topology Application ID: 102221. For users of the Optimization Module, COMSOL Multiphysics ® version 5. mph. 3 From the Selection list, choose Interior Walls. Download the application files. , only the position of the mesh nodes changes. de Abstract: To implement structural shape GEOMETRY 1. (a) Final design obtained after the optimization. The prong length L is determined by minimizing the objective function abs (f − 440 Hz), where f is the fundamental frequency of the fork. 2:30–5 p. 5 < ScaledThickness < 1. The geometry is optimized using shape optimization Nov 30, 2021 · A Shell Shape Optimization module can be installed in Comsol for the optimization of an existing geometry to control the variable settings: the maximum displacement (d max) and filter radius (R min ). Korvink Department of Microsystems Engineering, University of Freiburg, Germany *Corresponding author: Georges-Köhler-Allee, building 103 DG, D-79110 Freiburg, Germany email address: zhenyu@imtek. The radius of the feeding waveguide is assumed to be fixed, as well as the depth of the horn and the Using shape optimization in your models can result in a number of advantages that aren't possible when using standard parametric models. Shape optimization with respect to fatigue properties is not supported, but fatigue properties are well correlated with the maximum stress. This archived webinar includes several examples of structural mechanics, fluid Nov 22, 2022 · Shape Optimization in Electromagnetics: Part 1. 6, this model uses an axisymmetric component with a Solid Mechanics interface together with the built-in features for shape optimization. Watch this archived webinar to learn about shape optimization, which can be used to automatically identify geometry changes that improve product performance. A demonstration of topology optimization using the Structural Mechanics Module and the Optimization Module. Shape optimization can be used to improve designs in many different physics areas. In the Settings window for Group, type Optimized Design in the Label text field. In the hands-on exercise, you will use topology optimization with milling constraints to minimize the mass of an aluminum beam subject to a displacement constraint and a distributed load. You will see several examples of how to perform shape Jan 22, 2024 · The speed discrepancy is so large that the first approach is impractical for most applications of shape and topology optimization. This is achieved through a series of iterations where specific design aspects are varied, such as the dimensions, material properties, operating conditions, etc. This model example illustrates applications of this type that would nominally be built using the following products: Using shape optimization in your models can result in a number of advantages that aren't possible when using standard parametric models. This model example illustrates applications of this type that would nominally be built using the following products: Welcome to the Optimization Module User’s Guide. The shape- and topology optimization interfaces add partial differential equations to be solved by a stationary solver, but many engineering problems involve optimization of eigenvalues, so this model demonstrates how to use the Stationary Using shape optimization in your models can result in a number of advantages that aren't possible when using standard parametric models. 1 to Thickness. A demultiplexer is a data distributing device, in this case it will distribute acoustic energy. If you want to update your model geometry without the computational requirements of remeshing, shape optimization may be a useful tool in your finite element modeling (FEM) and design process. Suggested Products. Oct 31, 2023 · The article is devoted to the configuration and interaction of two important parameters, which are situated in Shape optimization settings in the Comsol Multiphysics program: maximum displacement Using shape optimization in your models can result in a number of advantages that aren't possible when using standard parametric models. 1542 m and D 2 = 0. This means that results from two different study Using shape optimization in your models can result in a number of advantages that aren't possible when using standard parametric models. tesla_microvalve_shape_optimization_geom_sequence. Day 5 Q&A for Session 4. 5. He begins with an overview of how simulation is used for loudspeaker analysis, and then he shows how parameter, shape, and topology optimization can be added to the design process. Application ID: 58051. Excerpt from the Proceedings of the COMSOL Users Conference 2007 Grenoble Structural Shape Optimization Using Moving Mesh Method Zhenyu Liu*, Jan G. We will go over the shape optimization features in the COMSOL Multiphysics ® software and show what you can expect to achieve when these Application ID: 93801. The talk Figure 1: The initial configuration is a simple cone (the z<0 part of the gray area) in an infinite baffle. It is possible to apply gradient based by using the Deformed Geometry interface. 4 In the Study toolbar, click Get Initial Value. Mar 3, 2021 · The aim of this research is to optimize the geometry and shape of piezoelectric cantilevers to harvest more power. Shape Optimization of a Water Heater. 5 m. Today, guest blogger René Christensen of GN Hearing discusses the importance of acoustic topology optimization and how to apply it in COMSOL Multiphysics. This brief, previously held webinar explains general optimization and introduces the shape optimization capabilities in COMSOL Multiphysics ®. This model simulates the propagation of two frequency bands in a photonic crystal with three ports. 1. The Polynomial Boundary feature is one of them. You will see several examples of how to perform shape Using shape optimization in your models can result in a number of advantages that aren't possible when using standard parametric models. This guide is a supplement to the COMSOL Multiphysics Reference Manual. November 3, 2016. Further, the off-axis spatial response is improved using the Free Shape Boundary and Application ID: 75291. 0. Therefore it is good practice to perform a verification analysis in a new component, and this model includes such . The model features the optimization of the geometry of a complex-shaped coil similar to those for induction heating applications. 5 includes a more simplified setup of shape optimization with new built-in features, a filter dataset for smoothing topology optimization results, and strict enforcement of design constraints for derivative-free optimization. In the Model Builder window, under Results, Ctrl-click to select Stress (shell) 1, Shell Geometry (shell) 1, Thickness and Orientation (shell) 1, and Shape Optimization. e. For users of the Optimization Module, COMSOL Multiphysics ® version 6. The latter problem has design variables of similar magnitude, which is better for numerical reasons. In the ModelBuilder window, expand the Results node. Dec 16, 2022 · A Practical Implementation of Multiphysics Topology Optimization. The objective is implemented as a constraint, so that the optimization terminates, when the desired performance is achieved. You will see several examples of how to perform shape The Optimization interface and Optimization study step in COMSOL Multiphysics® are useful for solving design problems as well as inverse problems and parameter estimation. Optimization is the mathematical process of finding the optimal version of a design or process. This model example illustrates applications In the Model Builder window, expand the Shape Optimization>Solver Configurations>Solution 1 (sol1) node, then click Optimization Solver 1. In this model we show how to design a set of compliant pliers using topology optimization. 3 Locate the Study Settings section. Application ID: 75301. The model uses shape optimization with Helmholtz regularization together with a MinMax formulation for the power ratio of the three output ports. A diplexer is a device that combines or splits signals into two different frequency bands, widely used in mobile communication systems. Optimization. Optimized Design. set includes models of topology optimization, shape optimization, flow minimization, maximization of the reaction rate, and inverse modeling. Tesla microvalves exploit the non-linear nature of inertial flow to create anisotropic flow resistance. From the Length unit list, choose mm. The Optimization Module, as of COMSOL Multiphysics version 5. The model uses the same objective and constraint as the original, which results in a slightly higher stiffness for the same mass. 2 In the Settings window for Study, type Shape Optimization in the Label text field. Shape Optimization. The resultant device capacitance is 100 pF and the thickness of the dielectrics is D 1 = 0. When designing electromagnetic coils, we may want to adjust the position of the coils to achieve a desired magnetic field strength within a particular region of space. This example shows how to use the Deformed Geometry together with gradient based optimization (IPOPT) to identify the prong length corresponding to a eigenfrequency of 440 Hz. Sep 16, 2022 · A deformed structure is generated to illustrate the operational deflection shape of the optimized topology design in order to show the performance. Step thrust bearings can be modeled with the assumption that: The fluid film thickness is much smaller than the lateral bearing dimensions Shape Optimization of an MBB Beam. These parameters are set as follows: d max = 2 m, R min = 0. The optimization target is to control In COMSOL Multiphysics ® version 5. 9 < ScaledLength < 1. Figure 5. You will see several examples of how to perform shape In this archived webinar, learn how to use the Optimization Module, an add-on product to COMSOL Multiphysics ®, for parameter estimation for stationary, time-dependent, and space-dependent parameter values. Results. , in order to meet an objective, such 1 In the Definitions toolbar, click Optimization and choose Shape Optimization> Polynomial Boundary. This model demonstrates how the Free Shape Boundary feature can be used to perform shape optimization on a design found with topology optimization. You will see several examples of how to perform shape Learn how to optimize shapes and parameters, estimate the experiment size for certain confidence values, and simplify postprocessing of topology optimization results with the features and functionalities available as of COMSOL Multiphysics ® version 5. You will see several examples of how to perform shape This model extends the model “Tuning Fork” in the COMSOL Multiphysics Application Library by adding a second study, in which the Parametric Sweep is replaced by an Optimization study node. The irises of the initial geometry are optimized to ensure good bandpass response and out-of-band rejection, while maintaining the double mirror symmetry. The model assumes azimuthal symmetry, but one can use the optimization result as inspiration for a 3D design. In the Model Builder window, under Component 1 (comp1) click Geometry 1. Jan 24, 2017 · we would apply a scale of 100 to Length, and 0. Note also that the objective function and This type of regularized shape optimization can be setup using equations based modeling, but it is also built into the Free Shape Boundary feature. m. This model combines the Shape Optimization and Shell interfaces. Jan 4, 2019 · Topology optimization with the density method involves varying the Young’s modulus spatially. Right-click and choose Group. The focus is on the optimization procedure, which involves choice of objective function, and optimization solver settings. The crystal is initially symmetric, so that the two frequency bands are directly equally to either output port. In this shape optimization example, the mass of a bracket is minimized by changing the size and position of a number of geometrical objects. 5, comes with several built-in features for shape optimization. You will see several examples of how to perform shape Dec 24, 2015 · In this blog post, we will introduce the concept of shape optimization for adjusting part dimensions by using analytic sensitivity methods. The resulting design is verified in 3D, and a STL file is exported. Performing Optimization in COMSOL Multiphysics ®. The topology optimized Tesla microvalve is used as an inspiration for an initial geometry. This model demonstrates how to design a coil geometry using gradient-based shape optimization. Topology optimization is a powerful tool that enables engineers to find optimal solutions to problems related to their applications. COMSOL Compiler™. Figure 4: Topology optimization has significant design freedom, so it is able to find a design, which is 41% lighter than the result of the shape optimization. This example shows how to use the Optimization Module to find a coil geometry giving a uniform magnetic field on axis and minimal field near the axis ends. This model example illustrates applications of this type that would nominally be built using the following products: Oct 31, 2023 · In Comsol Multiphysics the shape optimization technique works by deforming the mesh in existing geometry and in order to avoid too large deformations of the model elements it is necessary to adjust special settings: control variable-maximum displacement (d max) and filtering-filter radius (R min). In order to circumvent these kinds of technical difficulties with moving mesh problems, several researches have tried to formulate shape In this tutorial model, we will design a demultiplexer by performing shape optimization on all initial circular boundaries in a sonic crystal (phononic crystal) configuration. This model demonstrates how to use the Free Shape Shell feature to increase the stiffness of a shell by deforming its shape. Nov 3, 2016 · Guest. Create the geometry. That way, the optimization solver will (internally) solve for the design variables: 0. A guest blogger from GN Audio A/S introduces a multiphysics topology framework developed with the COMSOL Application Programming Interface and LiveLink™ for MATLAB®. Model Manager. The suspension of a loudspeaker is designed to keep the membrane in place and avoid any rocking movement of the voice coil. Select the Maximum number of outer iterations check box. One of its major difficulties is related to meshing problems arising from shape modifications. This archived webinar includes several examples of structural mechanics, fluid mechanics Nov 22, 2022 · Shape optimization can be used to improve designs in many different physics areas. The resulting design is post-processed using shape optimization, where the maximum stress is constrained using a stress aggregation function. OPTIMIZATION ALGORITHMS There are three optimization algorithms for gradient-based optimization available in the Optimization Module. Two-dimensional simulations and optimization over-estimate the Shape optimization can be used to enhance device design in many application areas, including electromagnetics and RF. Application ID: 90901. The model demonstrates how optimization with respect to a p-norm of the von Mises stress can be used to improve fatigue properties without increasing mass or decreasing stiffness. IST. (b) The resulting topology with the clear coupling boundaries using the threshold filtering. You will see several examples of how to perform shape Nov 15, 2019 · The COMSOL Multiphysics® software supports gradient-based shape optimization by fixing the mesh topology; i. This model applies the feature to a CAD representation of a wrench, but the initial geometry can also come from topology optimization as shown in the model Shape Optimization of an MBB Beam. Application ID: 102551. Step thrust bearings are used for supporting axial loads in rotating machinery, and because the load capacity depends on the geometry, you can use shape and topology optimization to maximize the load capacity of the bearing. Using shape optimization in your models can result in a number of advantages that aren't possible when using standard parametric models. 0458 m. Windows. Apr 20, 2017 · April 20, 2017. They can be used as robust valves owing to their passive working mechanism, but for many applications the diodicity is too low. Learn how to optimize shapes and parameters, estimate the experiment size for certain confidence values, and simplify postprocessing of topology optimization results with the features and functionalities available as of COMSOL Multiphysics ® version 5. This model demonstrates how to use the Control Function feature to perform shape optimization on a rectangular horn for an improved on axis response. In the following examples, the objective is to maximize the minimum eigenfrequency, but one could also maximize the distance to some unwanted frequency that is perhaps occurring naturally in the environment. In this blog post, we will focus on shape optimization in wave optics. In the Geometry toolbar, click Build All. Application ID: 101271. In the Geometry toolbar, click Insert Sequence. We demonstrate the parameter estimation capabilities and show you how to define and solve these problems. In this section is a short Optimization Module Overview. To simplify this step, insert a prepared geometry sequence. The classical MBB beam is solved in 2D using a Helmholtz filter and Solid Isotropic Material Penalization (SIMP) technique to recast the original combinatorial optimization problem Using shape optimization in your models can result in a number of advantages that aren't possible when using standard parametric models. COMSOL Multiphysics ® supports both optimization types listed here, but this blog post will focus on gradient-based optimization. Overview. The capabilities of the Optimization Module can be used in conjunction with any combination of other COMSOL products. The Shell interface computes fold lines automatically, but the details of this computation is affected by the presence of Deformed Geometry and/or Shape Optimization. 2–2:30 p. In this archived webinar, we demonstrate how to use the shape optimization capabilities of COMSOL Multiphysics®, such as analytic The classical optimization method has been applied to many design problems for electromagnetic systems. You will see several examples of how to perform shape Optimization Module Updates. In this case, it is achieved by going to the material properties and multiplying the solid Young’s modulus with the penalized material volume factor, dtopo1. Select the Move limits check box. In summary, the density topology feature adds four variables. Dec 19, 2023 · Shape optimization works by changing the shape of the steps in the bearing, whereas topology optimization uses an implicit geometry description, so the number of steps can vary. For information about the use of this study and its functionality, see the Optimization Module User’s Guide. Shape Optimization of a 3D Tesla Microvalve. Dec 29, 2015 · Shape optimization is an extension of the previously developed concepts, and it considers not just straightforward dimensional changes, but general changes in shape as well. The shape of the structure is controlled via a set of design parameters that use a set of basis functions , which can describe quite arbitrary shapes. 2 introduces the ability to export the covariance matrix associated with parameter estimation, a new Stationary Then Eigenfrequency study step, and new mirror and sector symmetry features for shape and topology optimization. 2. Browse the COMSOL Learning Center for self-paced courses and articles. September 16, 2022. Select the Generate default plots check box. This model shows how shape optimization can be used to design an acoustic demultiplexer. This example simulates splitting properties using a simplified 2D geometry. Learn how to use COMSOL Multiphysics® for specific application areas. 1. At low frequencies, where the displacement of the membrane is significant, the stiffness of the suspension varies along the movement of the voice coil. The model optimizes the position of the pillars in order Application ID: 105251. Step thrust bearings can be modeled with the assumption that: The fluid film thickness is much smaller than the lateral bearing dimensions Shape Optimization of a Tesla Microvalve. Application Builder. In the Geometry toolbar, click Insert Sequence and choose Insert Sequence. This model example illustrates applications of this type that would nominally be built using the Designing a Waveguide Diplexer for the 5G Mobile Network using Shape Optimization. Second order Bernstein polynomials are used to perturb the shape of the geometry. Introduction. We will go over the shape optimization features in the COMSOL Multiphysics ® software and show what you can expect to achieve when these features are used for wave optics applications. An Overview of Optimization Terminology Assuming that you have solved a COMSOL model of a physical design, it is common to ascribe to it some figure of me rit, a cost function, or — using a more The COMSOL Sales and Support teams are available for answering any questions you may have regarding this. Simulation Apps. Also, a shape optimized compression driver has been found Optimization Module Updates. In the Settings window for Optimization Solver, locate the Optimization Solver section. Model Definition. Session 5: Shape Optimization. The COMSOL Sales and Support teams are available for answering any questions you may have regarding this. The Optimization study step is used to find the best coil placement so that the gradient of the electron density in the reactor center is minimized. bb ll vf lg mu sb vi zj ht ko