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Lecture Notes on Theoretical Mechanics

Authors:

  • Focuses on essential and fundamental topics in theoretical mechanics

  • Presents central aspects of theoretical mechanics in an accessible format

  • Is intended for undergraduate courses on fundamental aspects of theoretical mechanics

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xiii
  2. Preliminary Knowledge

    • Jianlin Liu
    Pages 1-10
  3. Statics

    1. Front Matter

      Pages 11-11
    2. Fundamentals of Statics

      • Jianlin Liu
      Pages 13-25
    3. Force Analysis

      • Jianlin Liu
      Pages 27-41
    4. Simplification of a Force Group

      • Jianlin Liu
      Pages 43-51
    5. Center of the Parallel Force Group

      • Jianlin Liu
      Pages 65-72
  4. Kinematics

    1. Front Matter

      Pages 73-73
    2. Motion of a Particle

      • Jianlin Liu
      Pages 75-80
    3. Basic Motion of the Rigid Body

      • Jianlin Liu
      Pages 81-85
    4. Planar Motion of the Rigid Body

      • Jianlin Liu
      Pages 87-95
  5. Kinetics

    1. Front Matter

      Pages 97-97
    2. Newton’s Laws of Motion

      • Jianlin Liu
      Pages 99-102
    3. Theorem of Momentum

      • Jianlin Liu
      Pages 103-108
    4. Theorem of Angular Momentum

      • Jianlin Liu
      Pages 109-117
    5. Theorem of Kinetic Energy

      • Jianlin Liu
      Pages 119-133
    6. Lagrange Equation

      • Jianlin Liu
      Pages 135-143
    7. Summary

      • Jianlin Liu
      Pages 145-150

About this book

This book addresses a range of basic and essential topics, selected from the author's teaching and research activities, offering a comprehensive guide in three parts: Statics, Kinematics and Kinetics. Chapter 1 briefly discusses the history of classical and modern mechanics, while Chapter 2, presents preliminary knowledge, preparing readers for the subsequent chapters. Chapters 3 to 7 introduce statics, force analysis, simplification of force groups, equilibrium of the general coplanar force group, and the center of the parallel force group. 




The Kinematics section (Chapters 8 to 10), covers the motion of a particle, basic motion and planar motion of a rigid body.




Lastly, the Kinetics section (Chapters 11 to 14) explores Newton’s law of motion, theorem of momentum, theorem of angular momentum, and theorem of kinetic energy. 
With numerous examples from engineering, illustrations, and step-by-step tutorials, the book is suitable for both classroom use and self-study. After completing the course, students will be able to simplify complex engineering structures and perform force and motion analyses on particles and structures, preparing them for further study and research.


 
The book can be used as a textbook for undergraduate courses on fundamental aspects of theoretical mechanics, such as aerospace, mechanical engineering, petroleum engineering, automotive and civil engineering, as well as material science and engineering.


Authors and Affiliations

  • Department of Engineering Mechanics, College of Pipeline and Civil Engineering, China University of Petroleum (East China), Qingdao, China

    Jianlin Liu

About the author

Dr. Jianlin Liu is currently a Professor at the Department of Engineering Mechanics, School of Pipeline & Civil Engineering, China University of Petroleum (East China). His main research interests include deals soft matter mechanics, applied mathematics, nonlinear mechanics in structures and micro/nano-mechanics. He has published more than 50 papers indexed by SCI, one monograph, and three book chapters.


 
He received his bachelor’s degree in Mechatronics from the School of Mechatronics at Qingdao University in 2000; his master’s degree in Solid Mechanics, from the Department of Mathematics & Mechanics at the School of Applied Science, Beijing Science & Technology University in 2003; and his Ph.D. in Mechanics, from the Department of Engineering Mechanics, Tsinghua University in 2008. Since February 2008, he has been a lecturer, Associate Professor and Full Professor at the Department of Engineering Mechanics, School of Pipeline & Civil Engineering at China University of Petroleum (East China).


 
Jianlin has received several prestigious awards, including Taishan Young Scholar of Shandong Province, the Outstanding Youth Fund of the National Natural Science Foundation of Shandong Province, the Shandong Province Second Prize for Natural Science, Qingdao City’s Young Science and Technology Prize and the Endeavour Australia Cheung Kong Research Fellowship Scholarship.
 

Bibliographic Information

  • Book Title: Lecture Notes on Theoretical Mechanics

  • Authors: Jianlin Liu

  • DOI: https://doi.org/10.1007/978-981-13-8035-8

  • Publisher: Springer Singapore

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Metallurgical Industry Press, Beijing and Springer Nature Singapore Pte Ltd. 2019

  • Hardcover ISBN: 978-981-13-8034-1Published: 24 June 2019

  • Softcover ISBN: 978-981-13-8037-2Published: 14 August 2020

  • eBook ISBN: 978-981-13-8035-8Published: 05 June 2019

  • Edition Number: 1

  • Number of Pages: XIII, 150

  • Number of Illustrations: 113 b/w illustrations, 69 illustrations in colour

  • Additional Information: Jointly published with Metallurgical Industry Press, Beijing, China

  • Topics: Theoretical and Applied Mechanics, Classical and Continuum Physics, Mechanical Engineering, Civil Engineering

Buy it now

Buying options

eBook USD 44.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 59.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 84.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access