Preliminaries: Primal and dual assembly of dynamic models
Kapitel i bok, 2020

There are several ways to formulate the dynamics of a substructure. The different domains in which the dynamics can be described will be reviewed since the manner in which substructures are characterized will later determine the substructuring methodology that can be applied. In addition to how the substructures are formulated, the way in which the coupling/decoupling problem is expressed will allow us in the subsequent chapters to develop different numerical and experimental techniques. Two conditions must be satisfied on the interface between substructures: a condition on the displacement field (compatibility) and on the interface stresses (force equilibrium). Those conditions can be accounted for following several different formulations, all mathematically equivalent, but each leading to different numerical methods, experimental approaches, and approximation techniques, as will be explained in the following chapters. In this chapter, we outline the basic concepts of the so-called three-field formulation, dual and primal assembly

Författare

Matthew S. Allen

University of Wisconsin Madison

Daniel J. Rixen

Technische Universität München

Maarten van der Seijs

Vibes Technology

Paolo Tiso

Eidgenössische Technische Hochschule Zürich (ETH)

Thomas Abrahamsson

Chalmers, Mekanik och maritima vetenskaper, Dynamik

Randall L. Mayes

Sandia National Laboratories

CISM International Centre for Mechanical Sciences, Courses and Lectures

5-24

Ämneskategorier

Teknisk mekanik

Beräkningsmatematik

Strömningsmekanik och akustik

DOI

10.1007/978-3-030-25532-9_2

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Senast uppdaterat

2020-02-28