Expanding the design space and optimizing stop bands for mechanical metamaterials

Morris, Joshua; Wang, Weidi; Shah, Darshil M.; Plaisted, Thomas A.; Hansen, Christopher J.; Amirkhizi, Alireza V.

doi:10.1016/j.matdes.2022.110510

Cited by 19 publications

(8 citation statements)

References 48 publications

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“…Therefore the developed ROMs preserves the necessary physical ingredients for further analysis. The dependence of ROM parameters on the geometric dimensions and material properties may be curve-fitted for design purposes with continuous functions, see 32 . The fidelity of these models is inherently guaranteed by the optimized energy relations and the accurate production of band structures and mode shapes.…”

Section: Applicationsmentioning

confidence: 99%

“…The detailed steps are omitted here. A simplified example can be found in the previous work 32 . Other application examples are discussed below.…”

Section: Applicationsmentioning

confidence: 99%

“…The discretized mass-spring representation has been widely accepted in literature as it offers analytical formulations that simplify the computational effort while retaining essential physics. It has proven to be beneficial for various design aspects such as feasibility analysis 30 , reliability assessment 31 , and design space mapping 32 . For higher order systems operating at high frequency ranges, an excellent example of modeling discrete weakly coupled MMs has been introduced by Matlack et al 12 .…”

Section: Introductionmentioning

confidence: 99%

“…The reduced stiffness and mass matrices can then be derived using simple strength of materials analysis. Such an approach provides analytical matrices that operate on physical DOFs and is naturally suitable for tuning the response via control of physical dimensions and material choices 32 .…”

Section: Introductionmentioning

confidence: 99%

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Reduced Order Modeling of Dynamic Mechanical Metamaterials for Analysis of Infinite and Finite Systems

Wang¹,

Amirkhizi²

2023

Preprint

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Dynamic mechanical metamaterials (MMs) are artificial media composed of periodic micro-structures, designed to manipulate wave propagation. Modeling and designing these materials can be computationally demanding due to the broad design space spanned by a range of geometric and material parameters. This work aims to develop a generalized reduced order modeling (ROM) approach for determining MM dynamics in low frequency ranges with accuracy and speed, using a limited number of parameters and small matrices. The MM unit cells are treated as assemblies of structural elements and discrete degrees of freedom, whose effective stiffness and inertia are determined by optimizing energy criteria based on continuum results derived from a small number of eigen-study simulations. This proposed approach offers a parameterized and discretized representation of MM systems, which leads to fast and accurate computation of eigen-study results for periodic arrays of repeating unit cells, as well as dynamic responses for finite-sized arrays. The high computational efficiency and physical accuracy of this method will help to streamline the modeling process and aid in design discovery and optimization, especially in combination with scientific machine learning and data-driven techniques.

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Section: Applicationsmentioning

confidence: 99%

“…The detailed steps are omitted here. A simplified example can be found in the previous work 32 . Other application examples are discussed below.…”

Section: Applicationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Reduced Order Modeling of Dynamic Mechanical Metamaterials for Analysis of Infinite and Finite Systems

Wang¹,

Amirkhizi²

2023

Preprint

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“…The author in [31] mentioned that organizational research allows to determine the concentration and establish an innovative culture of different type of scope, in that way to reach and determine tools that help in the capabilities to create and innovate in the organizational method, allowing the resolution of the problem to synthesize and process information about certain instance; the challenge or problems in a visual way allows the exploration of innovative solutions [32].…”

Section: B Challenges Of Innovation For Sustainable Business Developmentmentioning

confidence: 99%

Innovation Management Model as a Source of Business Competitiveness for Industrial SMEs

Advincula¹,

Chavesta²,

Ocares-Cunyarachi³

2022

IJACSA

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One of the main problems of small companies is not knowing how to properly manage investments, resources, strategies, tools and responsibilities to be more competitive, the research objective is the development of management and innovation processes required by the new company for its permanence in the market and decision making to be carried out every day; small companies face the competitiveness of new products that emerge. Today there are a great variety of products, which are globally interconnected, therefore it is required to implement a structural equation model for its management, so that the company continuously improves and optimizes the available resources, therefore as a result is the management, focused on greater effectiveness of resources; so it is necessary that small businesses need to manage a model of investments, resources, tools and responsibilities to obtain support from the competitiveness of the market; which would allow it to be oriented to a sustainable development and be one step ahead of the competition.

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Design optimization of elastic metamaterials with multilayered honeycomb structure by Kriging surrogate model and genetic algorithm

Cao,

Wu,

Zhang

et al. 2024

Struct Multidisc Optim

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Expanding the design space and optimizing stop bands for mechanical metamaterials

Cited by 19 publications

References 48 publications

Reduced Order Modeling of Dynamic Mechanical Metamaterials for Analysis of Infinite and Finite Systems

Reduced Order Modeling of Dynamic Mechanical Metamaterials for Analysis of Infinite and Finite Systems

Innovation Management Model as a Source of Business Competitiveness for Industrial SMEs

Design optimization of elastic metamaterials with multilayered honeycomb structure by Kriging surrogate model and genetic algorithm

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