Virtual Principles in Aircraft Structures [EBook] / by B. E. Gatewood.
Virtual Principles in Aircraft Structures [EBook] / by B. E. Gatewood.
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...
Personal Name(s):  Gatewood, B. E., (author) 

Imprint: 
Dordrecht :
Springer,
1989

Physical Description: 
XXXIII, 695 p. 69 illus. online resource. 
Note: 
englisch 
ISBN: 
9789400911659 
DOI: 
10.1007/9789400911659 
Series Title: 
Mechanics of Structural Systems ;
67 
Subject (LOC):  
Full Text 
Table of Contents:
 1 / The basic three, two, and one dimensional equations in structural analysis
 2 / Virtual displacement and virtual force methods in structural analysis
 3 / The virtual principles for pinjointed trusses
 4 / The virtual principles for simple beams
 5 / Box beam shear stresses and deflections
 6 / Shear lag in thin web structures
 1 / Allowable stresses of flight vehicle materials
 2 / Analysis and design of joints and splices
 3 / Structural design of aircraft components
 4 / Analysis and design of pressurized structures
 5 / Approximate solutions using the virtual principles
 6 / Dynamics of simple beams
 7 / The plate equations
 8 / Approximate matrix equations for plate finite elements
 9 / Matrix structural analysis using finite elements
 10 / Composite Materials
 Appendix A / Notes on matrix algebra
 A.1 Definition of matrices
 A.2 Addition, subtraction, multiplication of matrices
 A.3 Determinants
 A.4 Matrix inversion
 A.5 Solution of systems of simultaneous equations by matrices
 A.6 Solution of systems of simultaneous equations by tridiagonal matrices
 A.7 Solution of systems of equations by Jordan successive transformations
 A.8 Matrix representations
 A.9 Orthogonal matrices
 A.10 Eigenvalues and eigenvectors of matrices
 A.11 Note on matrix notation
 References
 Appendix B / External forces on flight vehicles
 B.1 Introduction
 B.2 Inertial forces for rigid body translation and rotation in a vertical plane
 B.3 Air forces on airplane wing
 B.4 Airplane equilibrium equations in flight. Load factors
 B.6 Wing spanwise lift coefficient distribution
 B.7 Spanwise lift coefficient distribution on twisted wings
 B.8 Spanwise airload, shear, and moment distributions on wing
 B.9 Distribution of inertia forces on wing and fuselage
 B.10 Forces and moments on landing gear structures
 B.11 Thermal forces
 B.12 Miscellaneous forces
 B.13 Deflection effects on the external forces
 B.14 Criteria for the structure to support the external forces
 B.15 Problems
 References
 Appendix C / Derivation of the strain energy theorems from the virtual principles
 C.1 Work and strain energy
 C.2 Maximum and minimum strain energy and total potential energy
 C.3 Theorem of minimum total potential energy
 C.4 Theorem of minimum strain energy
 C.5 Castigliano’s theorem (Part I)
 C.6 Hamilton’s principle
 C.7 Theorem of minimum total complementary potential theory
 C.8 Theorem of minimum complementary strain energy
 C.9 Castigliano’s theorem (Part II)
 C.10 Reissner’s variational principle
 C.11 Comparison of the virtual principles and the strain energy theorems
 References.