Topology Optimization of Large-Scale 3D Morphing Wing Structures

Jensen, Peter Dørffler Ladegaard; Wang, Fengwen; Dimino, Ignazio; Sigmund, Ole

doi:10.3390/act10090217

Cited by 19 publications

(9 citation statements)

References 30 publications

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“…If Equation ( 13) is not satisfied, the frequency range will be automatically divided into two subranges, and similar Taylor expansion will be conducted in each subrange. Such process will be repeated until Equation (13) is satisfied in all frequency subranges (see Figure 1).…”

Section: Objective Function For the Broadband Analysismentioning

confidence: 99%

“…[7][8][9][10] Topology optimization technology is one of the powerful tools to find the optimal distribution of sound-absorbing materials. [11][12][13][14] Compared with the traditional finite element method (FEM) commonly used in topology optimization, the boundary element method (BEM) seems to be more favorable when optimizing the distribution of sound-absorbing materials in the exterior sound field, [15][16][17][18] since only the boundaries need to be discretized and the Sommerfeld boundary condition is automatically satisfied. [19][20][21] Similarly, the BEM is used in many situations.…”

Section: Introductionmentioning

confidence: 99%

“…The high economic cost of installing sound‐absorbing materials on the whole surface of a sound barrier poses significant demand for optimizing the distribution of sound‐absorbing materials 7‐10 . Topology optimization technology is one of the powerful tools to find the optimal distribution of sound‐absorbing materials 11‐14 . Compared with the traditional finite element method (FEM) commonly used in topology optimization, the boundary element method (BEM) seems to be more favorable when optimizing the distribution of sound‐absorbing materials in the exterior sound field, 15‐18 since only the boundaries need to be discretized and the Sommerfeld boundary condition is automatically satisfied 19‐21 .…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A BEM broadband topology optimization strategy based on Taylor expansion and SOAR method—Application to 2D acoustic scattering problems

Chen,

Zhao,

Lian

et al. 2023

Numerical Meth Engineering

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In this article, an innovative method is proposed for broadband topology optimization of sound‐absorbing materials adhering to the surface of a sound barrier structure. Helmholtz equation for the acoustic problems is solved using the boundary element method, while sensitivities of the objective function with respect to a large number of design variables are calculated via a sensitivity analysis method originated from the adjoint variable method (AVM), and the optimal solution is obtained by the method of moving asymptotes (MMA). Since the traditional single‐frequency topology optimization is frequency dependent, that is, the optimal solution at a certain frequency may not be optimal at other frequencies, broadband topology optimization of sound‐absorbing materials is conducted in this work. To address the problem of tremendous computational cost due to repetitive calculations at each discrete frequency point during broadband optimization, Taylor expansion of the Hankel function is performed to decouple the frequency dependent and independent terms in the BEM equations. For large‐scale problems, a reduced‐order model that retains the essential structures and key properties of the original model is built using the second‐order Arnoldi (SOAR) method. The accuracy and feasibility of the proposed algorithms are finally validated via some two‐dimensional numerical examples.

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Section: Objective Function For the Broadband Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A BEM broadband topology optimization strategy based on Taylor expansion and SOAR method—Application to 2D acoustic scattering problems

Chen,

Zhao,

Lian

et al. 2023

Numerical Meth Engineering

View full text Add to dashboard Cite

show abstract

“…Topology optimization has been successfully applied to the design of a variety of structures ranging from aircraft wings [15,[17][18][19] to biomedical devices [20,21]. Several studies have also applied topology optimization to the design of wheel structures [22,23]; however, in all of these studies the wheel shape was given to the algorithm as input, and topology optimization was used to create the stiffest possible structure within this prescribed shape.…”

Section: (C) Literature Surveymentioning

confidence: 99%

Computational synthesis of wheeled vehicles via multi-layer topology optimization

James,

Kelley,

Kang

et al. 2023

Proc. R. Soc. A.

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In current engineering practice, computer-aided design (CAD) tools play a key role in the design and fabrication of most mechanical systems, including the design of most vehicles. This software tends to rely heavily on human designers to provide the basic design concept, with the software being used to computationally render an existing design, or to perform modifications to a design to achieve incremental improvements in performance. However, an emerging class of computational methods, known as topology optimization methods, offers the potential for true black box computational design. Under this general framework, practitioners provide the algorithm with the constitutive properties of the design materials, and the mechanical function being designed for (e.g. maximum stiffness under a given loading condition), and the algorithm autonomously generates a description of the corresponding structure. With some exceptions, existing topology optimization methods are limited to generating static, single-body designs. In this study, we present a novel method that builds upon the current state of the art by combining multiple collocated planar design domains to achieve automated computational synthesis of multi-body wheeled vehicles. This capability represents an important step on the path toward automated computational design of increasingly complex, innovative and impactful mechanical systems.

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“…Another category of morphing structures is based on compliant mechanisms [25]. The approach adopted by PoliMi for the modelling and design of these kind of structures is based on the concept of distributed compliance and compliant structures, which are a very efficient family of adaptive structures, combining the advantages of morphing devices with a low weight [26].…”

Section: Introductionmentioning

confidence: 99%

Study on the Actuation Aspects for a Morphing Aileron Using an Energy–Based Design Approach

Gaspari

2022

Actuators

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Evaluating the impact of morphing devices in terms of actuation energy is a promising approach to quantify, from the earliest stages of wing design, the convenience of active camber morphing compared to the use of conventional control surfaces. A morphing wing device consists of an adaptive structure coupled with an actuation system. The starting point for the design of the adaptive structure is a three-dimensional parametric-geometry-representation technique working on the definition of the external morphing shape. The morphing shape is defined to be feasible from the structural point of view and able to meet the aerodynamic design requirements. The new method presented here enables the computation of the actuation energy as a combination of strain energy and external aerodynamic work. The former is the energy required to deform the skin and can be computed in an analytical way, based on the same quantities used by the parameterization technique. The latter is used to compute the energy needed to counteract the external aerodynamic loads during the deformation. This method is applied to the design optimization of a morphing aileron which is installed on a 24 m span wing, starts at 65% of both the chord and the semi-span and extends for one third of the span. A parametric study shows the superiority of the morphing aileron, compared with an equivalent hinged aileron, in terms of energy saving, weight penalty reduction and ease of on-board installation. The morphing aileron is more compact and requires a lower actuation energy combined with a lower deflection, while providing the same roll moment.

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Topology Optimization of Large-Scale 3D Morphing Wing Structures

Cited by 19 publications

References 30 publications

A BEM broadband topology optimization strategy based on Taylor expansion and SOAR method—Application to 2D acoustic scattering problems

A BEM broadband topology optimization strategy based on Taylor expansion and SOAR method—Application to 2D acoustic scattering problems

Computational synthesis of wheeled vehicles via multi-layer topology optimization

Study on the Actuation Aspects for a Morphing Aileron Using an Energy–Based Design Approach

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