TY - CHAP
T1 - Preliminaries
T2 - Primal and dual assembly of dynamic models
AU - Allen, Matthew S.
AU - Rixen, Daniel
AU - van der Seijs, Maarten
AU - Tiso, Paolo
AU - Abrahamsson, Thomas
AU - Mayes, Randall L.
N1 - Publisher Copyright:
© CISM International Centre for Mechanical Sciences 2020.
PY - 2020
Y1 - 2020
N2 - 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.—Chapter Author: Daniel Rixen.
AB - 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.—Chapter Author: Daniel Rixen.
UR - http://www.scopus.com/inward/record.url?scp=85070536722&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-25532-9_2
DO - 10.1007/978-3-030-25532-9_2
M3 - Chapter
AN - SCOPUS:85070536722
T3 - CISM International Centre for Mechanical Sciences, Courses and Lectures
SP - 5
EP - 24
BT - CISM International Centre for Mechanical Sciences, Courses and Lectures
PB - Springer International Publishing
ER -