
Fundamentals of Structural Dynamics
Description
Key Features
- Explains the foundational concepts needed to understand structural vibrations in high-speed railways
- Gives the latest research from a leading group working on vehicle-bridge interactions and wind effects on bridges
- Lays out routine procedures for generating dynamic property matrices in MATLAB©
- Presents a novel principle and rule to help researchers model time-varying systems
- Offers an efficient solution for readers looking to understand basic concepts and methods in vibration analysis
Readership
Researchers in railway engineering, engineering technicians, railway engineers, managerial staff in railway engineering; civil engineers; graduate researchers working in railway engineering and rail transit engineering
Table of Contents
1 Overview of Structural Vibrations
1.1 Objectives
1.2 Characteristics of Structural Vibrations
1.3 Classification of Vibrations
1.4 Some typical issues in structural vibrations
1.5 Main Tasks of the Response analysis
Problems2 Formulation of equations of motion
2.1 System constraints
2.2 Description of structural vibrating configuration
2.3 Direct balance method
2.4 Principle of virtual displacements
2.5 Lagrange’s Equations
2.6 Hamilton’s Principle
2.7 Principle of Total Potential Energy with Stationary Value in Elastic System Dynamics
2.8 “Set in right position” rule for formulating system matrices and computer programs
Problems3 Vibration Analysis of Single-Degree-of-Freedom System
3.1 Free vibrations
3.2 Responses of Single degree of freedom system to harmonic loading
3.3 Vibrations caused by base motion and vibration isolation
3.4 Introductions to the damping theory
3.5 Determination of the viscos-damping ratio by experimental method
3.6 Response of a single degree of freedom system to periodic loading
3.7 Response of a single degree of freedom system to impulsive loading
3.8 Time integration analysis for dynamic responses
Problems4 Vibration Analysis of Multi-Degree-of-Freedom System
4.1 The dynamic characteristics of the system.
4.2 Modal expansion and normalized equations of motion for multi-degree-of-freedom systems
4.3 Free vibration responses of undamped systems
4.4 Response of damped system to arbitrary dynamic loads
4.5 Response of undamped system to arbitrary dynamic loads
Problems5 Vibration analysis of continuous system (straight beam)
5.1 Equations of motion for undamped straight beam in bending
5.2 Modal expansion techniques and the orthogonality of modal shapes for linear vibrations of straight beam
5.3 Free transverse vibrations of undamped straight beam
5.4 Forced flexural vibrations of undamped straight beam
5.5 Forced flexural vibrations of damped straight beam
Problems6 Approximate calculation of natural frequencies and modal shapes
6.1 Rayleigh energy method
6.2 Rayleigh-Ritz method
6.3 Stodola-Vianello method
6.4 Subspace iteration method
6.5 Degree of freedom reduction in vibration analysis
Problems7 Step-by step integration methods
7.1 Basic concepts of methods
7.2 Linear acceleration method
7.3 The Wilson- Method
7.4 The Newmark-β method
7.5 Stability and accuracy analysis of the step-by-step integration methods
Problems
Product details
- No. of pages: 286
- Language: English
- Copyright: © Elsevier 2021
- Published: June 8, 2021
- Imprint: Elsevier
- Paperback ISBN: 9780128237045
- eBook ISBN: 9780128237052
About the Authors
Zhihui Zhou
Affiliations and Expertise
Ying Wen
Affiliations and Expertise
Chenzhi Cai
Affiliations and Expertise
Qingyuan Zeng
Affiliations and Expertise
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