Computational Methods for Nonlinear Dynamical Systems

Theory and Applications in Aerospace Engineering
Erscheinungsjahr 2022
ISBN: 978-0-323-99113-1
Verlag: Elsevier - Health Sciences Division

Buch, Englisch, 225 Seiten, Format (B × H): 235 mm x 191 mm, Gewicht: 522 g

Computational Methods for Nonlinear Dynamical Systems: Theory and Applications in Aerospace Engineering proposes novel ideas and develops highly-efficient and accurate methods for solving nonlinear dynamic systems, drawing inspiration from the weighted residual method and the asymptotic method. Proposed methods can be used both for real-time simulation and the analysis of nonlinear dynamics in aerospace engineering. The book introduces global estimation methods and local computational methods for nonlinear dynamic systems. Starting from the classic asymptotic, finite difference and weighted residual methods, typical methods for solving nonlinear dynamic systems are considered.

In addition, new high-performance methods are proposed, such as time-domain collocation and local variational iteration. The book summarizes and develops computational methods for strongly nonlinear dynamic systems and considers the practical application of the methods within aerospace engineering.

Zielgruppe

<p>Senior undergraduates, postgraduates, researchers and engineers who are interested in nonlinear computational methods.</p>

Autoren/Hrsg.

Feng, Haoyang

Wang, Xuechuan

Dai, Honghua

Yue, Xiaokui

Atluri, Satya N.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Nichtlineare Wissenschaft
• Mathematik | Informatik Mathematik Geometrie Dynamische Systeme
• Technische Wissenschaften Verkehrstechnik | Transportgewerbe Luft- und Raumfahrttechnik, Luftverkehr
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure

Inhaltsverzeichnis

1. Introduction
2. Harmonic Balance Method and Time Domain Collocation Method
3. Dealiasing for Harmonic Balance and Time Domain Collocation Methods
4. Application of Time Domain Collocation in Formation Flying of Satellites
5. Local Variational Iteration Method
6. Collocation of Local Variational Iteration Method
7. Application of Local Variational Iteration Method in Orbital Mechanics
8. Applications of Local Variational Iteration Method in Structural Dynamics

Über Autor(innen)

Atluri, Satya N.
Presidential Chair & University Distinguished Professor of Texas Tech University, has a fellowship of the American Institute of Aeronautics & Astronautics, and academy membership of USA National Academy of Engineering.

Wang, Xuechuan
Xuechuan Wang is an Associate Researcher at Northwestern Polytechnical University, China. His research has focused on the frontiers of space exploration, and specifically, on computational methods for nonlinear dynamical systems.

Yue, Xiaokui
Xiaokui Yue is a Professor at Northwestern Technical University, China. His research has focused on the frontiers of space exploration and on computational methods for nonlinear dynamical systems.

Dai, Honghua
Honghua Dai is a Professor at Northwestern Technical University, China. His research has focused on the frontiers of space exploration and, specifically, on computational methods for nonlinear dynamical systems.

Feng, Haoyang
Haoyang Feng is a Doctoral Student at Northwestern Polytechnical University, China. He works on computational methods for nonlinear dynamical systems at Northwestern Polytechnical University, a leading institute at the frontier of space exploration.