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E-book Manifold Learning : Model Reduction in Engineering

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Penilaian

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Today, a large set of engineering tasks is supported by mathematical models related to various scientific disciplines. This set of tasks is called Model-Based Engineer-ing (MBE). In this book, we restrict our attention to geometrical or morphological models, thermal models, mechanical models and statistical models, at various scales. The related mathematical equations can be algebraic equations, ordinary differential equations, partial differential equations (PDEs), or every possible combination of these types of equations in a coupled system of equations. Various numerical methods have been developed in applied mathematics, to find approximate solutions of these different types of equations. Therefore, mathematical properties are available related to the convergence of the numerical solutions to the exact solutions having no numerical approximation. The engineers have a strong confidence in the numerical predictions obtained by these models, provided that they are well used in their domain of validity. Hence, in practice, numerical models and numerical predictions are ubiquitous in MBE. In industrial sectors, such as automotive industry, aeronautical industry, energy, shipbuilding, electronics manufacturing, etc., computer platforms for MBE have been developed for assemblies of components, to ease the communication of data and models, between engineering tasks. Quality and efficiency in engineering tasks depend directly on the continuity of data on computer platforms. As explained in the ATLAS program of AFNet, 1such continuity of data requires the development of standards for data exchanges between stakeholders in a project, a production line, a department, etc. Assemblies of components that are equipped with numerical models are termed complex systems in this book. A complex system is an assembly of components that have a numerical represen-tation related to coupled physics-based models, for its design phase, its manufacturing phase or its exploitation phase. In computer platforms for MBE, complex systems have an idealized digital rep-resentation, termed digital mock-up, where model couplings can be implemented in a numerical model dedicated to an engineering task. For instance, in continuum mechanics, the mechanical model of a component is weakly coupled to the geomet-rical model of this component. Many multi-physics couplings in coupled problems, can be implemented on computer platforms for MBE. Complex numerical simu-lations in MBE are supported by computers that range form laptops to computer clusters for high-performance computing (HPC). In most cases, geometrical models are created by using computer-aided design (CAD) in order to obtain a common geometric model for both design tasks and manufacturing tasks, of each part and assemblies in a complex system. Data flux in computer platforms for MBE are related to design tasks, manufac-turing tasks, non destructive testing (NDT) tasks, exploitation or monitoring tasks, inspection tasks, repairing tasks, recycling tasks. Figure 1.1 is a summary of these data fluxes.

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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

519.2 RYC m

Penerbit

Switzerland : Springer Nature., 2024

Deskripsi Fisik

114 hlm

Bahasa

English

ISBN/ISSN

9783031527647

Klasifikasi

519.2

Tipe Isi

text

Tipe Media

computer

Tipe Pembawa

online resource

Edisi

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Subjek

Probabilities

Info Detail Spesifik

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Pernyataan Tanggungjawab

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Versi lain/terkait

Lampiran Berkas

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