Virtual Principles in Aircraft Structures

  • B. E. Gatewood

Part of the Mechanics of Structural Systems book series (MSSY, volume 6-7)

Table of contents

  1. Front Matter
    Pages i-xix
  2. B. E. Gatewood
    Pages 103-152
  3. B. E. Gatewood
    Pages 153-201
  4. B. E. Gatewood
    Pages 202-253
  5. B. E. Gatewood
    Pages 254-296
  6. B. E. Gatewood
    Pages 297-341
  7. B. E. Gatewood
    Pages 342-378
  8. B. E. Gatewood
    Pages 379-409
  9. B. E. Gatewood
    Pages 441-463
  10. B. E. Gatewood
    Pages 464-504
  11. B. E. Gatewood
    Pages 582-610
  12. Back Matter
    Pages 611-695

About this book


The basic partial differential equations for the stresses and displacements in clas­ sical three dimensional elasticity theory can be set up in three ways: (1) to solve for the displacements first and then the stresses; (2) to solve for the stresses first and then the displacements; and (3) to solve for both stresses and displacements simultaneously. These three methods are identified in the literature as (1) the displacement method, (2) the stress or force method, and (3) the combined or mixed method. Closed form solutions of the partial differential equations with their complicated boundary conditions for any of these three methods have been obtained only in special cases. In order to obtain solutions, various special methods have been developed to determine the stresses and displacements in structures. The equations have been reduced to two and one dimensional forms for plates, beams, and trusses. By neglecting the local effects at the edges and ends, satisfactory solutions can be obtained for many case~. The procedures for reducing the three dimensional equations to two and one dimensional equations are described in Chapter 1, Volume 1, where the various approximations are pointed out.


Degrees of freedom Rigid body design dynamics finite element method flows vibration

Authors and affiliations

  • B. E. Gatewood
    • 1
  1. 1.Dept. of Aeronautical and Astronautical EngineeringThe Ohio State UniversityColumbusUSA

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media B.V. 1989
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-7018-8
  • Online ISBN 978-94-009-1165-9
  • Series Print ISSN 0924-2139
  • Buy this book on publisher's site