What are the key mathematical models used in computational frameworks for design of structures?
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Computational frameworks for the design of structures utilize various mathematical models. The Finite Element Method (FEM) is commonly used for linear elastic structures, providing a numerical approach to analyze structural behavior . Another technique is Statistical Energy Analysis (SEA), which uses statistical approaches and lower computational costs compared to FEM-based techniques. SEA requires subsystem and junction models to compute SEA coefficients, which can be based on simplified descriptions of the structures . The coupling of FEM with the Boundary Element Method (BEM) is also considered, offering advantages in terms of computational efficiency . Additionally, Bayesian frameworks integrate information from data and models, quantifying modeling uncertainties and selecting the most appropriate model among alternatives . These computational frameworks enable the creation of engineering designs, allowing experts and non-experts to build designs using digital modular components and features .
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