General Framework for Dynamic Substructuring: History, Review and Classification of Techniques

TLDR

Four decades after the first dynamic substructuring techniques were developed, a need has arisen to classify the various methods within a general framework that clarifies their interrelations. The paper proposes a vision of substructuring methods by revisiting key historical milestones to frame substructuring as a domain‑decomposition concept. It introduces a general classification framework based on dual and primal substructure assembly, and discusses current experimental bottlenecks and literature‑based solutions. The framework demonstrates how the different method classes evolved from a clear mathematical description of substructured problems.

Abstract

Four decades after the development of the first dynamic substructuring techniques, there is a necessity to classify the different methods in a general framework that outlines the relations between them. In this paper, a certain vision on substructuring methods is proposed, by recalling important historical milestones that allow us to understand substructuring as a domain decomposition concept. Thereafter, based on the dual and primal assembly of substructures, a general framework for the classification of the methods is presented. This framework allows us to indicate how the various classes of methods, proposed along the years, can be derived from a clear mathematical description of substructured problems. Current bottlenecks in experimental dynamic substructuring, as well as solutions found in literature, will also be briefly discussed.