| Autor: |
Nidish Narayanaa Balaji, Matthew R. W. Brake |
| Rok vydání: |
2021 |
| Předmět: |
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| Zdroj: |
Nonlinear Structures & Systems, Volume 1 ISBN: 9783030771348 |
| DOI: |
10.1007/978-3-030-77135-5_6 |
| Popis: |
There have been several studies developing calculus on graph domains, defining and generalizing the concepts of differential and integral operators on discrete domains. This chapter considers potential applications for such ideas in the field of modal analysis and identification. The thesis of the chapter lies in generalizing the “weak form” integral equations of the wave equation on a weighted graph domain using said developments (graph operations, Lebesgue integrals, etc.), leading to the definition of a parametric finite element model with sufficient flexibility to allow for model identification. There exist several results in the mathematical discipline of graph theory with regard to the physical interpretations of graphs and its subsets based on the relative weight distributions of the graph members (nodes and edges). The chapter will consider if there is merit for considering such ideas in the context of structural dynamics, specifically modal testing. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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