Qualitative Theory in Structural Mechanics

Qualitative Properties and Existence of Solutions

  • Dajun Wang
  • Qishen Wang
  • Beichang (Bert) He

Table of contents

  1. Front Matter
    Pages i-x
  2. Dajun Wang, Qishen Wang, Beichang (Bert) He
    Pages 1-32
  3. Dajun Wang, Qishen Wang, Beichang (Bert) He
    Pages 33-85
  4. Dajun Wang, Qishen Wang, Beichang (Bert) He
    Pages 183-213
  5. Dajun Wang, Qishen Wang, Beichang (Bert) He
    Pages 271-325
  6. Dajun Wang, Qishen Wang, Beichang (Bert) He
    Pages 327-389
  7. Back Matter
    Pages 391-395

About this book


This book focuses on the qualitative theory in structural mechanics, an area that remains underdeveloped. The qualitative theory mainly deals with the static deformation and vibrational modes of linear elastic structures, and cover subjects such as qualitative properties and the existence of solutions.

Qualitative properties belong to one type of structure, are at the system level and of clear regularity, and often result from analytical derivation and logical reasoning. As for the existence of solutions, it addresses a fundamental issue in structural mechanics, and has far-reaching implications for engineering applications.

A better understanding of qualitative properties can assist in both numerical computation and experimental studies. It also promotes the development of better dynamic designs for structures. At the same time, a sound grasp of the existence of solutions and related subjects can aid in quantitative analysis, and help researchers establish the theoretical background essential to their work. 

This book is among the few that is dedicated exclusively to the qualitative theory in structural mechanics and systematically introduces the important and challenging area to a wide audience, including graduate students in engineering.


Assembly structures Displacement mode shape Solutions in structural theories Finite element model of a beam Generalized solution Number of independent modes Number of nodes Oscillatory properties Vibration control Qualitative structural analysis Structural analysis textbook Qualitative properties of vibration Solutions in structural theories

Authors and affiliations

  • Dajun Wang
    • 1
  • Qishen Wang
    • 2
  • Beichang (Bert) He
    • 3
  1. 1.Department of Mechanics and Engineering SciencePeking UniversityBeijingChina
  2. 2.School of Physics and Electrical EngineeringAnqing Normal University AnqingChina
  3. 3.HBC ConsultingSeattleUSA

Bibliographic information

  • DOI
  • Copyright Information Springer Nature Singapore Pte Ltd. and Peking University Press 2019
  • Publisher Name Springer, Singapore
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-981-13-1375-2
  • Online ISBN 978-981-13-1376-9
  • Buy this book on publisher's site
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