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Substructuring in engineering dynamics : emerging numerical and experimental techniques

Author: Matthew S AllenDaniel RixenMaarten van der SeijsPaolo TisoThomas AbrahamssonAll authors
Publisher: Cham, Switzerland : Springer, [2020]
Series: Courses and lectures, no. 594.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Dynamic Substructuring is a method that combines models for the various parts of a structure to estimate the dynamic response or other properties of the assembled structure. The substructure models may be analytical models such as finite element models, or they may be derived from measurements. This book reviews the most common state-of-the art methods for substructuring and model reduction and presents a framework  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Allen, Matthew S.
Substructuring in Engineering Dynamics : Emerging Numerical and Experimental Techniques
Cham : Springer,c2019
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Matthew S Allen; Daniel Rixen; Maarten van der Seijs; Paolo Tiso; Thomas Abrahamsson; R Mayes
ISBN: 3030255328 9783030255329 9783030255312 303025531X
OCLC Number: 1111948232
Notes: Description based upon print version of record.
4.9 Substructuring with State-Space Models
Description: 1 online resource (284 pages).
Contents: Intro; Preface; Contents; 1 Introduction and Motivation; 1.1 Divide and Conquer Approaches in the History of Engineering Mechanics; 1.2 Advantages of Substructuring in Mechanical Engineering; References; 2 Preliminaries: Primal and Dual Assembly of Dynamic Models; 2.1 The Dynamics of a Substructure: Domains of Representation; 2.1.1 Spatial Descriptions; 2.1.2 Spectral Representation; 2.1.3 State Representation; 2.1.4 Summary of Representation Domains; 2.2 Interface Conditions for Coupled Substructures; 2.2.1 Interface Equilibrium; 2.2.2 Interface Compatibility; 2.3 Primal and Dual Assembly 2.3.1 Primal Assembly2.3.2 Dual Assembly; 2.3.3 Usefulness of Different Assembly Formulations; References; 3 Model Reduction Concepts and Substructuring Approaches for Linear Systems; 3.1 Model Reduction-General Concepts (Reduced Basis); 3.1.1 Reduction by Projection; 3.1.2 The Guyan-Irons Method; 3.1.3 Model Reduction Through Substructuring; 3.2 Numerical Techniques for Model Reduction of Substructures; 3.2.1 The Hurty/Craig-Bampton Method; 3.2.2 Substructure Reduction Using Free Interface Modes; 3.2.3 Numerical Examples of Different Substructure Reduction Techniques 3.2.4 Other Reduction Techniques for Substructures3.3 Interface Reduction with the Hurty/Craig-Bampton Method: Characteristic Constraint Modes; 3.3.1 System-Level Characteristic Constraint (S-CC) Modes; 3.3.2 Local-Level Characteristic Constraint Modes; 3.4 State-Space Model Reduction; 3.4.1 Structural Dynamics Equations in State Space; 3.4.2 State Observability and State Controllability; 3.4.3 State-Space Realizations; 3.4.4 State-Space Reduction Based on Transfer Strength; References; 4 Experimental Substructuring; 4.1 Introduction; 4.2 Why Is Experimental Substructuring So Difficult? 4.3 Basics of Frequency-Based Substructuring (FBS)4.3.1 Lagrange Multiplier FBS-the Dual Interface Problem; 4.3.2 Lagrange Multiplier FBS-the Dually Assembled Admittance; 4.3.3 On the Usefulness of Dual Assembly of Admittance in Experimental Substructuring; 4.3.4 Weakening the Interface Compatibility; 4.3.5 Dual Assembly in the Modal Domain; 4.3.6 A Special Case: Substructures Coupled Through Bushings; 4.4 Substructure Decoupling; 4.4.1 Theory of Decoupling; 4.4.2 Inverse Substructuring; 4.4.3 The Transmission Simulator Method for Substructuring and Substructure Decoupling 4.5 Measurement Methods for Substructuring4.6 Virtual Point Transformation; 4.6.1 Interface Modeling; 4.6.2 Virtual Point Transformation; 4.6.3 Interface Displacement Modes; 4.6.4 Measurement Quality Indicators; 4.6.5 Instrumentation in Practice; 4.7 Real Applications; 4.7.1 Experimental Modeling of a Substructure Using the Virtual Point Transformation; 4.7.2 Experimental Dynamic Substructuring of Two Substructures; 4.8 Finite Element Model Updating for Substructuring; 4.8.1 Finite Element Model Parameter Statistics and Cross-Validation; 4.8.2 Finite Element Model Calibration
Series Title: Courses and lectures, no. 594.
Responsibility: Matthew S. Allen, Daniel Rixen, Maarten van der Seijs, Paolo Tiso, Thomas Abrahamsson, Randall L. Mayes.

Abstract:

Dynamic Substructuring is a method that combines models for the various parts of a structure to estimate the dynamic response or other properties of the assembled structure. The substructure models may be analytical models such as finite element models, or they may be derived from measurements. This book reviews the most common state-of-the art methods for substructuring and model reduction and presents a framework that encompasses most method, highlighting their similarities and differences. For example, popular methods such as Component Mode Synthesis, Hurty/Craig-Bampton, and the Rubin methods, which are popular within finite element software, are reviewed. Similarly, experimental-to-analytical substructuring methods such as impedance/frequency response based substructuring, modal substructuring and the transmission simulator method are presented. The overarching mathematical concepts are reviewed, as well as practical details needed to implement the methods. Various examples are presented to elucidate the methods, ranging from academic examples such as spring-mass systems, which serve to clarify the concepts, to real industrial case studies involving automotive and aerospace structures. The wealth of examples presented reveal both the potential and limitations of the methods.

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