Coupled electrostatic-elastic analysis for topology optimization using material interpolation

Alwan, Aravind; Ananthasuresh, G. K.

doi:10.1088/1742-6596/34/1/044

Cited by 8 publications

(5 citation statements)

References 6 publications

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“…a conductor and a void, while assuming permittivity to be unity everywhereT P 1 P T . It must be noted here, that the physical model allows for the independent interpolation of dielectric permittivity too [5], though we do not make use of that in our optimization in this paper. The material interpolation is done in the following manner to ensure that regions of high…”

Section: Materials Interpolationmentioning

confidence: 99%

“…In the next section, we begin with a brief description of the electrostatic analysis and force-computation when a material is in an intermediate state between a conductor and a void, which was discussed in our recent past work [5]. This analysis method is combined with the new material interpolation model of this paper to lead to topology optimization of electrostatically actuated structures.…”

Section: Introductionmentioning

confidence: 99%

“…An analysis result from[5]. Analysis of a electrostatically actuated structure in which the electrostatic force is used to move a mirrored surface vertically without deformation[7] (a) Plot of γ showing undeformed structure modeled using symmetry boundary conditions on the left vertical edge (b) Complete deformed structure.…”

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confidence: 99%

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Topology Optimization of Electrostatically Actuated Micromechanical Structures With Accurate Electrostatic Modeling of the Interpolated Material Model

Alwan

Ananthasuresh

2006

Volume 2: 30th Annual Mechanisms and Robotics Conference, Parts a and B

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In this paper, we present a novel formulation for performing topology optimization of electrostatically actuated constrained elastic structures. We propose a new electrostatic-elastic formulation that uses the leaky capacitor model and material interpolation to define the material state at every point of a given design domain continuously between conductor and void states. The new formulation accurately captures the physical behavior when the material in between a conductor and a void is present during the iterative process of topology optimization. The method then uses the optimality criteria method to solve the optimization problem by iteratively pushing the state of the domain towards that of a conductor or a void in the appropriate regions. We present examples to illustrate the ability of the method in creating the stiffest structure under electrostatic force for different boundary conditions.

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Section: Materials Interpolationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Topology Optimization of Electrostatically Actuated Micromechanical Structures With Accurate Electrostatic Modeling of the Interpolated Material Model

Alwan

Ananthasuresh

2006

Volume 2: 30th Annual Mechanisms and Robotics Conference, Parts a and B

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“…As discussed by Sigmund and Maute (2013), several mathematical schemes exist for the formulation and solution of topology optimization problems, and they have been successfully applied in the fields of aerodynamics (Kondoh et al, 2012; Stanford and Beran, 2011), electrostatics (Alwan and Ananthasuresh, 2006), fluid dynamics (Pingen et al, 2010), and modal analysis (Rubio and Silva, 2008). For the design of single-material structures, density-based approaches such as Solid Isotropic Material Penalization (SIMP) are quite popular.…”

Section: Introductionmentioning

confidence: 99%

A two-material topology optimization method for structures under steady thermo-mechanical loading

Thurier¹,

Lesieutre

Frecker

et al. 2019

Journal of Intelligent Material Systems and Structures

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This article explores a topology optimization method for the design of two-material structures that must operate under mechanical and thermal loads, including heat fluxes at the boundaries. A three-phase design domain is filled by two isotropic materials and a void phase. There are two novel aspects of this work: (1) the consideration of multiple materials when only the amount of void is constrained, and (2) the incorporation of heat flux boundary conditions, as opposed to uniform heating of the structure, in the multi-physics analysis. This topology optimization approach is expected to be useful in the development of passive thermal control interfaces for spacecraft thermal control.

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“…Topology optimization (Bendsøe and Kikuchi, 1988), on the other hand, allows large structural changes. Topology optimization of electrostatic actuators has been studied by Raulli et al (2005), Alwan et al (2006a;2006b), and Yoon et al (2008), who collectively dealt with cantilever and inverter electrostatic actuator types They successfully obtained optimal shapes that achieved target displacements. However, these methods, based on the use of the Solid Isotropic Material with Penalization (SIMP) method (Bendsøe, 1989;Yang and Chuang, 1994;Bendsøe and Sigmund, 1999), were affected by the problem of grayscales that often occurs in SIMP methods, hence the structural boundaries were not entirely clear.…”

Section: Introductionmentioning

confidence: 99%

Driving force profile design in comb drive electrostatic actuators using a level set-based shape optimization method

Kotani

Yamada

Yamasaki

et al. 2014

Struct Multidisc Optim

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Electrostatic actuators, actuators actuated by electrostatic forces, are now widely used as sensors and switches, especially in Micro-Electro-Mechanical Systems (MEMS). Among different kinds of electrostatic actuators, the comb drive type is one of the most popular because it has a relatively large range of displacement. In design problems for electrostatic actuators, the driving force profile is of primary engineering importance. In this paper, we develop a structural optimization method for comb drive electrostatic actuators that achieves prescribed driving force profiles, based on a level set-based shape optimization method that provides optimal configurations with clear boundaries, solutions that are valid in an engineering sense. Accurate calculation of the electrostatic forces that occur on the structural boundaries during optimization is important for developing actuators that operate with prescribed driving forces. In the conventional level set-based shape optimization methods, inaccuracies in the calculation of these electrostatic forces occur because the structural boundaries are seldom aligned with the finite element method (FEM)

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Coupled electrostatic-elastic analysis for topology optimization using material interpolation

Cited by 8 publications

References 6 publications

Topology Optimization of Electrostatically Actuated Micromechanical Structures With Accurate Electrostatic Modeling of the Interpolated Material Model

Topology Optimization of Electrostatically Actuated Micromechanical Structures With Accurate Electrostatic Modeling of the Interpolated Material Model

A two-material topology optimization method for structures under steady thermo-mechanical loading

Driving force profile design in comb drive electrostatic actuators using a level set-based shape optimization method

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