On topology optimization of design‐dependent pressure‐loaded three‐dimensional structures and compliant mechanisms

Kumar, Prabhat; Langelaar, Matthijs

doi:10.1002/nme.6618

Cited by 21 publications

(21 citation statements)

References 26 publications

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“…Based on the bi-directional evolutionary structural optimization (BESO) method, Picelli et al [33,34] used Laplace's equation and the steady-state incompressible Navier-Stokes equations to control the static fluid domain and the fluid flow domain, respectively, and constructed the corresponding fluid-structure coupling equations to solve the design-dependent pressure load problem. Kumar et al [35,36] modeled the design-dependent pressure loads on structures and compliant mechanisms using Darcy's law coupled with a "drainage" term.…”

Section: Introductionmentioning

confidence: 99%

A Thermal-Solid–Fluid Method for Topology Optimization of Structures with Design-Dependent Pressure Load

Huang

Liu

et al. 2022

Acta Mech. Solida Sin.

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For the topology optimization of structures with design-dependent pressure, an intuitive way is to directly describe the loading boundary of the structure, and then update the load on it. However, boundary recognition is usually cumbersome and inaccurate. Furthermore, the pressure is always loaded either outside or inside the structure, instead of both. Hence, the inner enclosed and outer open spaces should be distinguished to recognize the loading surfaces. To handle the above issues, a thermal-solid–fluid method for topology optimization with design-dependent pressure load is proposed in this paper. In this method, the specific void phase is defined to be an incompressible hydrostatic fluid, through which the pressure load can be transferred without any needs for special loading surface recognition. The nonlinear-virtual thermal method (N-VTM) is used to distinguish the enclosed and open voids by the temperature difference between the enclosed (with higher temperature) and open (with lower temperature) voids, where the solid areas are treated as the thermal insulation material, and other areas are filled with the self-heating highly thermally conductive material. The mixed displacement–pressure formulation is used to model this solid–fluid problem. The method is easily implemented in the standard density approach and its effectiveness is verified and illustrated by several typical examples at the end of the paper.

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Section: Introductionmentioning

confidence: 99%

A Thermal-Solid–Fluid Method for Topology Optimization of Structures with Design-Dependent Pressure Load

Huang

Liu

et al. 2022

Acta Mech. Solida Sin.

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“…Hammer and Olhoff (2000) were the first to model pressure load in a TO framework for designing loadbearing structures. Many approaches have been proposed after that; see Picelli et al (2019); Kumar et al (2020); Kumar and Langelaar (2021) for the comprehensive lists. In a typical TO environment with a design-dependent pressure load, an ideal approach is expected to provide suitable solutions to the following challenges (C i ):…”

Section: Introductionmentioning

confidence: 99%

“…is expected to open a potential direction towards developing soft robots using TO (Kumar, 2023). Further, the method is readily extended for optimizing 3D loadbearing designs and pressure-driven compliant mechanisms in Kumar and Langelaar (2021). Therefore, this paper adopts the approach herein for developing the proposed code.…”

Section: Introductionmentioning

confidence: 99%

TOPress: a MATLAB implementation for topology optimization of structures subjected to design-dependent pressure loads

Kumar

2023

Struct Multidisc Optim

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In a topology optimization setting, design-dependent fluidic pressure loads pose several challenges as their direction, magnitude, and location alter with topology evolution. This paper offers a compact 100-line MATLAB code, TOPress, for topology optimization of structures subjected to fluidic pressure loads using the method of moving asymptotes. The code is intended for pedagogical purposes and aims to ease the beginners' and students' learning toward the topology optimization with designdependent fluidic pressure loads. TOPress is developed per the approach first reported in Kumar et al. (Struct Multidisc Optim 61(4):1637-1655, 2020). The Darcy law, in conjunction with the drainage term, is used to model the applied pressure load. The consistent nodal loads are determined from the obtained pressure field. The employed approach facilitates inexpensive computation of the load sensitivities using the adjoint-variable method. Compliance minimization subject to volume constraint optimization problems are solved. The success and efficacy of the code are demonstrated by solving benchmark numerical examples involving pressure loads, wherein the importance of load sensitivities is also demonstrated. TOPress contains six main parts, is described in detail, and is extended to solve different problems. Steps to include a projection filter are provided to achieve loadbearing designs close to 0-1. The code is provided in Appendix B and can also be downloaded along with its extensions from https://github.com/PrabhatIn/TOPress.

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“…Design-dependent loads typically alter their location, magnitude and/or direction as TO progresses and therefore, their sensitivities with respect to the design variables need to be accounted in the TO formulation (Kumar and Langelaar, 2021;Kumar et al, 2020). In such loading scenarios, the overall sensitivities of the compliance objective with respect to the design variables no more remain always negative (see Sec.…”

Section: Introductionmentioning

confidence: 99%

Topology optimization of stiff structures under self-weight for given volume using a smooth Heaviside function

Kumar

2021

Preprint

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This paper presents a density-based topology optimization approach to design structures under self-weight load. Such loads change their magnitude and/or location as the topology optimization advances and pose several unique challenges, e.g., non-monotonous behavior of compliance objective, parasitic effects of the low-stiffness elements and unconstrained nature of the problems. The modified SIMP material interpolation in conjunction with the three-field density representation technique (original, filtered and projected design fields) is employed to achieve optimized solutions close to 0-1. Thus, parasitic effects of low-stiffness elements are circumvented. The mass density of each element is interpolated via a smooth Heaviside function yielding continuous transition between solid and void states of elements. This helps formulate a constraint on the maximum magnitude of the self-weight for the given volume in a such a manner that which implicitly imposes a lower bound on the permitted volume. The propose approach maintains the constrained nature of the optimization problem. Load sensitivities are evaluated using the adjoint-variable method. Compliance of the domain is minimized to achieve the optimized designs using the Method of Moving Asymptotes. Efficacy and robustness of the presented approach is demonstrated by designing various 2D and 3D structures involving selfweight.

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On topology optimization of design‐dependent pressure‐loaded three‐dimensional structures and compliant mechanisms

Cited by 21 publications

References 26 publications

A Thermal-Solid–Fluid Method for Topology Optimization of Structures with Design-Dependent Pressure Load

A Thermal-Solid–Fluid Method for Topology Optimization of Structures with Design-Dependent Pressure Load

TOPress: a MATLAB implementation for topology optimization of structures subjected to design-dependent pressure loads

Topology optimization of stiff structures under self-weight for given volume using a smooth Heaviside function

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