Fundamentals of Structural Dynamics
- 1st Edition - June 8, 2021
- Imprint: Elsevier
- Authors: Zhihui Zhou, Ying Wen, Chenzhi Cai, Qingyuan Zeng
- Language: English
- Paperback ISBN:9 7 8 - 0 - 1 2 - 8 2 3 7 0 4 - 5
- eBook ISBN:9 7 8 - 0 - 1 2 - 8 2 3 7 0 5 - 2
Dynamics of Structural Dynamics explains foundational concepts and principles surrounding the theory of vibrations and gives equations of motion for complex systems. The book pres… Read more
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Request a sales quoteDynamics of Structural Dynamics explains foundational concepts and principles surrounding the theory of vibrations and gives equations of motion for complex systems. The book presents classical vibration theory in a clear and systematic way, detailing original work on vehicle-bridge interactions and wind effects on bridges. Chapters give an overview of structural vibrations, including how to formulate equations of motion, vibration analysis of a single-degree-of-freedom system, a multi-degree-of-freedom system, and a continuous system, the approximate calculation of natural frequencies and modal shapes, and step-by-step integration methods. Each chapter includes extensive practical examples and problems.
This volume presents the foundational knowledge engineers need to understand and work with structural vibrations, also including the latest contributions of a globally leading research group on vehicle-bridge interactions and wind effects on bridges.
- 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
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
- Cover image
- Title page
- Table of Contents
- Copyright
- About the authors
- Preface
- Chapter 1. Overview of structural dynamics
- Abstract
- 1.1 Objective of structural dynamic analysis
- 1.2 Characteristics of structural dynamics
- 1.3 Classification of vibrations
- 1.4 Vibration problems in engineering
- 1.5 Procedures of dynamic response analysis of structures
- Problems
- References
- Chapter 2. Formulation of equations of motion of systems
- Abstract
- 2.1 System constraints
- 2.2 Representation of system configuration
- 2.3 Real displacements, possible displacements, and virtual displacements
- 2.4 Generalized force
- 2.5 Conservative force and potential energy
- 2.6 Direct equilibrium method
- 2.7 Principle of virtual displacements
- 2.8 Lagrange’s equation
- 2.9 Hamilton’s principle
- 2.10 Principle of total potential energy with a stationary value in elastic system dynamics
- 2.11 The “set-in-right-position” rule for assembling system matrices and method of computer implementation in Matlab
- References
- Problems
- Chapter 3. Analysis of dynamic response of SDOF systems
- Abstract
- 3.1 Analysis of free vibrations
- 3.2 Response of SDOF systems to harmonic loads
- 3.3 Vibration caused by base motion and vibration isolation
- 3.4 Introduction to damping theory
- 3.5 Evaluation of viscous-damping ratio
- 3.6 Response of SDOF systems to periodic loads
- 3.7 Response of SDOF systems to impulsive loads
- 3.8 Time-domain analysis of dynamic response to arbitrary dynamic loads
- 3.9 Frequency-domain analysis of dynamic response to arbitrary dynamic loads
- References
- Problems
- Chapter 4. Analysis of dynamic response of MDOF systems: mode superposition method
- Abstract
- 4.1 Analysis of dynamic properties of multidegree-of-freedom systems
- 4.2 Coupling characteristics and uncoupling procedure of equations of MDOF systems
- 4.3 Analysis of free vibration response of undamped systems
- 4.4 Response of undamped systems to arbitrary dynamic loads
- 4.5 Response of damped systems to arbitrary dynamic loads
- References
- Problems
- Chapter 5. Analysis of dynamic response of continuous systems: straight beam
- Abstract
- 5.1 Differential equations of motion of undamped straight beam
- 5.2 Modal expansion of displacement and orthogonality of mode shapes of straight beam
- 5.3 Free vibration analysis of undamped straight beam
- 5.4 Forced vibration analysis of undamped straight beam
- 5.5 Forced vibration analysis of damped straight beam
- References
- Problems
- Chapter 6. Approximate evaluation of natural frequencies and mode shapes
- Abstract
- 6.1 Rayleigh energy method
- 6.2 Rayleigh–Ritz method
- 6.3 Matrix iteration method
- 6.4 Subspace iteration method
- 6.5 Reduction of degrees of freedom in dynamic analysis
- References
- Problems
- Chapter 7. Step-by-step integration method
- Abstract
- 7.1 Basic idea of step-by-step integration method
- 7.2 Linear acceleration method
- 7.3 Wilson-θ method
- 7.4 Newmark method
- 7.5 Stability and accuracy of step-by-step integration method
- Problems
- References
- Index
- Edition: 1
- Published: June 8, 2021
- No. of pages (Paperback): 286
- No. of pages (eBook): 286
- Imprint: Elsevier
- Language: English
- Paperback ISBN: 9780128237045
- eBook ISBN: 9780128237052
ZZ
Zhihui Zhou
Zhihui Zhou is an Associate Professor in the School of Civil Engineering at Central South University in China. His research focuses on train derailment and vibration analysis. He has led several research projects, including on the safe operation of high-speed trains over railway bridges, and the safety of long-span cable-stayed bridge trains. He holds a PhD in Bridge and Tunnel Engineering, and has published over 30 papers, and two monographs.
Affiliations and expertise
Associate Professor, School of Civil Engineering, Central South University, ChinaYW
Ying Wen
Dr Ying Wen was employed in the School of Civil Engineering, CSU, after obtaining his Ph.D. degree in 2010, and he was promoted to be the associate professor in 2012. He took up the research associate in the Department of Civil and Structural Engineering, The Hong Kong Polytechnic University in 2011. In 2014, Dr Wen was invited to visit the Department of Aerospace and Mechanical Engineering, University of Southern California, for a collaborative research on the problem of moving loads on structures. After he returned to CSU in 2015, Dr Wen was appointed as the vice director of the Key Laboratory of Engineering Structures of Heavy-haul Railway, Ministry of Education. Dr Wen has interest in fields of various structural dynamics and stability, especially nonlinear mechanics of long span bridges and their dynamic stability under moving trains. Dr Wen has published more than 20 journal papers, one of which is listed as Top 25 Hottest articles published in ‘Finite Elements in Analysis & Design’. He also published three Chinese monographs about statics and dynamics of structures as a co-author. Dr Wen obtained the awards of the Science and Technology Progress of Hunan Province (2006) and Zhejiang Province (2011).
Affiliations and expertise
vice director of the Key Laboratory of Engineering Structures of Heavy-haul Railway, Ministry of Education, Changsha, ChinaCC
Chenzhi Cai
Dr Chenzhi Cai received his BS degree in civil engineering and MS degree in road and railway engineering from CSU in 2011 and 2015, respectively. He graduated from The Hong Kong Polytechnic University with a Ph.D. degree in civil engineering in 2018 and joined the Department of Bridge Engineering as well as the Wind Tunnel Laboratory of CSU as an associate professor later this year. Dr Cai’s main research interests are the fields of noise and vibration control, high-speed railway bridge/elevated subway system, and the train-induced ground vibration isolation. He has participated in several research projects funded by the Hong Kong government and has also received research funding from National Natural Science Foundation of China and Hunan Provincial Natural Science Foundation of China. Dr Cai has published more than 20 papers in international journals, and some of his work is under consideration of acceptance by UK CIBSE Guide.
Affiliations and expertise
Associate Professor, Department of Bridge Engineering and the Wind Tunnel Laboratory, School of Civil Engineering, Central South University, Changsha, ChinaQZ
Qingyuan Zeng
Prof. Qingyuan Zeng is a distinguished scientist on bridge engineering in Central South University. He obtained his BS and MS degrees from the Department of Civil Engineering, Nanchang University and Department of Engineering Mechanics, Tsinghua University, in 1950 and 1956, respectively. He was elected as the member of Chinese Academy of Engineering in 1999 for his great contributions to local-global interactive buckling behavior of long-span bridge structures, train-bridge interaction dynamics and the basic theory of train derailment. He presented the principle of total potential energy with a stationary value in elastic system dynamics and the ‘set-in-right-position’ rule for assembling system matrices, which is a significant improvement of classical theory of structural dynamics and finite element method. Prof. Zeng has an international reputation for his originality in the transverse vibration mechanism and time-varying analysis method of train-bridge system. He has authored and co-authored more than 100 journal papers, 3 monographs and 3 textbooks. He received numerous awards, including State Science and Technology Progress Award, Distinguished Achievement Award for Railway Science and Technology from Zhan Tianyou Development Foundation, and Honorary Member Award from the China Railway Society. He has supervised more than 16 MS students and 30 Ph.D. students in the past three decades.
Affiliations and expertise
Distinguished Scientist on Bridge Engineering, Central South University, Changsha, ChinaRead Fundamentals of Structural Dynamics on ScienceDirect