Application of Periodic Structure Theory with Finite Element Approach

  • 1,462

    Total Downloads

  • 18k

    Total Views and Downloads

Submit your idea

You will be redirected to our submission process.

Submit your manuscript summarySubmit your manuscript

About this Research Topic

Submission closed

Background

The periodic structure consists of repeating unit cells. Periodic structures can be found everywhere, from artificial multi-span bridges to naturally occurring atomic grids. Due to the high stiffness-to-weight ratio and economic cost, reinforced plate and shell structures are widely used in a variety of structural applications such as bridges, ship hulls and decks, aircraft, and aerospace rocket/missile structures. During manufacturing, friction stir welding periodically forms a wavy boundary. In building construction, the rebar used for reinforced concrete beams and slabs has a periodic surface. Determining the free vibration characteristics of a structural system can be a basic task of dynamic analysis. Over the last few decades, many researchers have discussed the behavior of reinforcing plates / shells under dynamic loads. This can lead to excellent implementations in the field of vibration and noise control. Periodic structures are also used to study the tunability of filter characteristics, such as required acoustic bandgap, cut-off frequency, and response direction. Health monitoring and damage detection of these structures requires a good understanding of the propagation of elastic waves through such periodic structures. In particular, the effect of periodicity on the movement of electromagnetic waves has been extensively studied and they have been applied to many optical and electromagnetic devices. The ability of periodic configurations to create electron / photonic bandgap in semiconductors and crystals is similar to the structural / acoustic bandgap of elastic media.

This topic is interesting for new potential applications in the fields of vibration acoustic isolation, noise suppression devices, vibration control, and seismic mitigation. Numerical and experimental studies of periodic structures, composite structures, phononic crystals, waveguides such as transmission lines, acoustic / elastic metamaterials. This marks the recent advances in these areas and the growing interest in academic and applied research.
Experimental studies on periodic structures have recently been published in many publications, verifying periodic effects such as structural and acoustic bandgap, attenuation, and directed energy flow in many specific cases.

Among the proposed numerical approaches, the one based on finite element theory shows great diversity and applicability in modeling physical structures. The numerical solution is based on the FE analysis of the unit cell of the structure and the theory of wave propagation in the periodic structure. This numerical method enables high accuracy up to high frequencies with very little computational effort and is a recommended option for predicting waves in one-dimensional and two-dimensional single waveguides (beams, plates and shells, cylindrical structures, etc.). Although these phenomena are well known, most published studies on periodic structures applied in the field of engineering aims to develop theoretical and numerical approaches to understanding wave propagation behavior and its properties.

The aim of the current Research Topic is to cover promising, recent, and novel research trends to study wave propagation in different forms of structures and materials. Themes include, but are not limited to:
- Modeling of periodic structures with local perturbations
- Dynamic analysis of periodic structures and elastic/acoustic metamaterials
- Dynamic behavior and acoustic analysis of arbitrary-shaped substructures
- Passive vibration control
- Reinforced concrete structures with damage
- Dynamics of phononic materials and structures
- Wave reciprocity in composite and metallic pressurised structures with defects
- Bloch waves of elastically connected periodic slender structures in an array
- Nonlinear periodic structures

Keywords: Periodic Structure, FEM, Arbitrary Shape and Regular Shape, Linear and Nonlinear, Phononic Materials, Elastic/acoustic Metamaterials, Structural Health Monitoring of Structures, Structure with Defects, Damage, Slender Connected Structure in Array

Important note: All contributions to this Research Topic must be within the scope of the section and journal to which they are submitted, as defined in their mission statements. Frontiers reserves the right to guide an out-of-scope manuscript to a more suitable section or journal at any stage of peer review.

Topic editors

Frequently asked questions

  • Frontiers' Research Topics are collaborative hubs built around an emerging theme.Defined, managed, and led by renowned researchers, they bring communities together around a shared area of interest to stimulate collaboration and innovation.

    Unlike section journals, which serve established specialty communities, Research Topics are pioneer hubs, responding to the evolving scientific landscape and catering to new communities.

  • The goal of Frontiers' publishing program is to empower research communities to actively steer the course of scientific publishing. Our program was implemented as a three-part unit with fixed field journals, flexible specialty sections, and dynamically emerging Research Topics, connecting communities of different sizes and maturity.

    Research Topics originate from the scientific community. Many of our Research Topics are suggested by existing editorial board members who have identified critical challenges or areas of interest in their field.

  • As an editor, Research Topics will help you build your journal, as well as your community, around emerging, cutting-edge research. As research trailblazers, Research Topics attract high-quality submissions from leading experts all over the world.

    A thriving Research Topic can potentially evolve into a new specialty section if there is sustained interest and a growing community around it.

  • Each Research Topic must be approved by the specialty chief editor, and it falls under the editorial oversight of our editorial boards, supported by our in-house research integrity team. The same standards and rigorous peer review processes apply to articles published as part of a Research Topic as for any other article we publish.

    In 2023, 80% of the Research Topics we published were edited or co-edited by our editorial board members, who are already familiar with their journal's scope, ethos, and publishing model. All other topics are guest edited by leaders in their field, each vetted and formally approved by the specialty chief editor.

  • Publishing your article within a Research Topic with other related articles increases its discoverability and visibility, which can lead to more views, downloads, and citations. Research Topics grow dynamically as more published articles are added, causing frequent revisiting, and further visibility.

    As Research Topics are multidisciplinary, they are cross-listed in several fields and section journals – increasing your reach even more and giving you the chance to expand your network and collaborate with researchers in different fields, all focusing on expanding knowledge around the same important topic.

    Our larger Research Topics are also converted into ebooks and receive social media promotion from our digital marketing team.

     

  • Frontiers offers multiple article types, but it will depend on the field and section journals in which the Research Topic will be featured. The available article types for a Research Topic will appear in the drop-down menu during the submission process.

    Check available article types here 

  • Yes, we would love to hear your ideas for a topic. Most of our Research Topics are community-led and suggested by researchers in the field. Our in-house editorial team will contact you to talk about your idea and whether you’d like to edit the topic. If you’re an early-stage researcher, we will offer you the opportunity to coordinate your topic, with the support of a senior researcher as the topic editor. 

    Suggest your topic here 

  • A team of guest editors (called topic editors) lead their Research Topic. This editorial team oversees the entire process, from the initial topic proposal to calls for participation, the peer review, and final publications.

    The team may also include topic coordinators, who help the topic editors send calls for participation, liaise with topic editors on abstracts, and support contributing authors. In some cases, they can also be assigned as reviewers.

  • As a topic editor (TE), you will take the lead on all editorial decisions for the Research Topic, starting with defining its scope. This allows you to curate research around a topic that interests you, bring together different perspectives from leading researchers across different fields and shape the future of your field. 

     

    You will choose your team of co-editors, curate a list of potential authors, send calls for participation and oversee the peer review process, accepting or recommending rejection for each manuscript submitted.

  • As a topic editor, you're supported at every stage by our in-house team. You will be assigned a single point of contact to help you on both editorial and technical matters. Your topic is managed through our user-friendly online platform, and the peer review process is supported by our industry-first AI review assistant (AIRA).

  • If you’re an early-stage researcher, we will offer you the opportunity to coordinate your topic, with the support of a senior researcher as the topic editor. This provides you with valuable editorial experience, improving your ability to critically evaluate research articles and enhancing your understanding of the quality standards and requirements for scientific publishing, as well as the opportunity to discover new research in your field, and expand your professional network.

  • Yes, certificates can be issued on request. We are happy to provide a certificate for your contribution to editing a successful Research Topic.

  • Research Topics thrive on collaboration and their multi-disciplinary approach around emerging, cutting-edge themes, attract leading researchers from all over the world.

  • As a topic editor, you can set the timeline for your Research Topic, and we will work with you at your pace. Typically, Research Topics are online and open for submissions within a few weeks and remain open for participation for 6 – 12 months. Individual articles within a Research Topic are published as soon as they are ready.

    Find out more about our Research Topics

  • Our fee support program ensures that all articles that pass peer review, including those published in Research Topics, can benefit from open access – regardless of the author's field or funding situation.

    Authors and institutions with insufficient funding can apply for a discount on their publishing fees. A fee support application form is available on our website.

  • In line with our mission to promote healthy lives on a healthy planet, we do not provide printed materials. All our articles and ebooks are available under a CC-BY license, so you can share and print copies.

     

Impact

  • 18kTopic views
  • 16kArticle views
  • 1,462Article downloads
View impact