AVERAGE ACCELERATIONS FOR SENSITIVITY BASED OPTIMIZATION

    公开(公告)号:US20240220680A1

    公开(公告)日:2024-07-04

    申请号:US18147783

    申请日:2022-12-29

    CPC classification number: G06F30/23 G06F2119/12

    Abstract: Embodiments automatically determine optimized designs of real-world objects. Using a computer-based model representing a real-world object, an embodiment determines equilibriums of the real-world object across a plurality of time steps. Determining said equilibriums determines velocities of the real-world object across the plurality of time steps. Average acceleration of the real-world object is determined for each of a plurality of time windows (defined across the plurality of time steps) using the determined velocities. Sensitivity of each determined average acceleration is calculated. The determined average accelerations are used to define at least one of a constraint and an objective function. The computer-based model representing the real-world object is iteratively optimized, using the calculated sensitivity of each determined acceleration, with respect to at least one of the constraint and the objective function. The iterative optimization results in an updated computer-based model, representing the optimized design of the real-world object.

    Structural optimization of additively manufactured parts accounting for manufacturing-induced states

    公开(公告)号:US10915675B2

    公开(公告)日:2021-02-09

    申请号:US15661726

    申请日:2017-07-27

    Abstract: An example embodiment designs a real-world object by defining a first model of the object being produced using an additive manufacturing (AM) process, where behavior of the object being produced is given by a first equation which includes a first plurality of corresponding sensitivity equations for a first plurality of design variables. Similarly, such an embodiment defines a second model of the object after being produced, wherein behavior of the object after being produced is given by a second equation which includes a second plurality of corresponding sensitivity equations for a second plurality of design variables. In turn, the second model is iteratively optimized with respect to a given one of the second plurality of design variables using both the first plurality of corresponding sensitivity equations and the second plurality of corresponding sensitivity equations.

    STRUCTURAL OPTIMIZATION OF ADDITIVELY MANUFACTURED PARTS ACCOUNTING FOR MANUFACTURING-INDUCED STATES

    公开(公告)号:US20180330029A1

    公开(公告)日:2018-11-15

    申请号:US15661726

    申请日:2017-07-27

    CPC classification number: G06F17/5009 G06F17/5018 G06F2217/12 G06F2217/16

    Abstract: An example embodiment designs a real-world object by defining a first model of the object being produced using an additive manufacturing (AM) process, where behavior of the object being produced is given by a first equation which includes a first plurality of corresponding sensitivity equations for a first plurality of design variables. Similarly, such an embodiment defines a second model of the object after being produced, wherein behavior of the object after being produced is given by a second equation which includes a second plurality of corresponding sensitivity equations for a second plurality of design variables. In turn, the second model is iteratively optimized with respect to a given one of the second plurality of design variables using both the first plurality of corresponding sensitivity equations and the second plurality of corresponding sensitivity equations.

    PENALTY FUNCTION ON DESIGN VARIABLES FOR DESIGNING VARIABLES FOR DESIGNING COST BENEFICIALLY ADDITIVE MANUFACTURABLE STRUCTURES

    公开(公告)号:US20170176975A1

    公开(公告)日:2017-06-22

    申请号:US14974414

    申请日:2015-12-18

    Abstract: One goal in automated product designing of additive manufacturing is to obtain designs having overhangs without support structures if the criterion for overhangs is rigorously geometrical. In an embodiment of the present invention, designers can request automated optimization and design, using simulation and sensitivity-based optimization, of structures having overhangs in the print direction that do not need any support structures. In an embodiment, a method includes, at a processor, calculating model design responses and model sensitivities of a computer-aided engineering (CAE) model in a CAE system based on design variables of the CAE model for various design responses being either applied in objective or constraints. The method further includes optimizing values of the design variables. The method further includes calculating physical design variables by employing a penalty function. Additionally, the calculations can also be in conjunction with employing material interpolation schemes. The method further includes generating an optimized CAE model using the calculated physical design variables. The optimized CAE model is free or partly free of support structures. The method further includes printing the optimized CAE model being free or partly free of support structures.

    Designing a part by topology optimization

    公开(公告)号:US11625516B2

    公开(公告)日:2023-04-11

    申请号:US16232802

    申请日:2018-12-26

    Abstract: The disclosure notably relates to a computer-implemented method for designing a part by topology optimization. The method comprises defining a working volume for the optimization of the part and at least one boundary condition applied to the part, computing a vector field over the working volume, each vector of the field representing an optimal direction and a quantity of material corresponding to satisfy the at least one boundary condition, computing a set of flow lines by propagating from starting points in the vector field. For each flow line of the set, an element for the primary structure of the part is computed and a secondary structure of the part linking the set of primary as well as the secondary structure elements together is computed.

    Design Optimization Guided by Discrete Geometrical Pattern Library

    公开(公告)号:US20220405442A1

    公开(公告)日:2022-12-22

    申请号:US17748272

    申请日:2022-05-19

    Abstract: A discrete geometrical pattern library guides a method for design optimization of a finite element model in a computer aided design (CAD) environment. Boundary conditions are applied to the finite element model, design variables for the bounded finite element model are initialized, and an objective function for the finite element model is evaluated. A gradient of the objective function is evaluated with respect to the design variables, an appearance constraint function is evaluated for the finite element model, and a gradient of the appearance constraint function is evaluated with respect to the design variables. The design variables are updated using a mathematical programming, and a convergence in the design optimization is detected, producing a converged design optimization of the finite element model is produced.

    Penalty function on design variables for designing variables for designing cost beneficially additive manufacturable structures

    公开(公告)号:US10948896B2

    公开(公告)日:2021-03-16

    申请号:US14974414

    申请日:2015-12-18

    Abstract: One goal in automated product designing of additive manufacturing is to obtain designs having overhangs without support structures if the criterion for overhangs is rigorously geometrical. In an embodiment of the present invention, designers can request automated optimization and design, using simulation and sensitivity-based optimization, of structures having overhangs in the print direction that do not need any support structures. In an embodiment, a method includes, at a processor, calculating model design responses and model sensitivities of a computer-aided engineering (CAE) model in a CAE system based on design variables of the CAE model for various design responses being either applied in objective or constraints. The method further includes optimizing values of the design variables. The method further includes calculating physical design variables by employing a penalty function. Additionally, the calculations can also be in conjunction with employing material interpolation schemes. The method further includes generating an optimized CAE model using the calculated physical design variables. The optimized CAE model is free or partly free of support structures. The method further includes printing the optimized CAE model being free or partly free of support structures.

    DESIGNING A PART BY TOPOLOGY OPTIMIZATION
    18.
    发明申请

    公开(公告)号:US20190197210A1

    公开(公告)日:2019-06-27

    申请号:US16232802

    申请日:2018-12-26

    CPC classification number: G06F17/5018 B29C64/386 B33Y10/00 B33Y50/00

    Abstract: The disclosure notably relates to a computer-implemented method for designing a part by topology optimization. The method comprises defining a working volume for the optimization of the part and at least one boundary condition applied to the part, computing a vector field over the working volume, each vector of the field representing an optimal direction and a quantity of material corresponding to satisfy the at least one boundary condition, computing a set of flow lines by propagating from starting points in the vector field. For each flow line of the set, an element for the primary structure of the part is computed and a secondary structure of the part linking the set of primary as well as the secondary structure elements together is computed.

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