Virtual Principles in Aircraft Structures [E-Book] / by B. E. Gatewood.
Gatewood, B. E., (author)
Dordrecht : Springer, 1989
XXXIII, 695 p. 69 illus. online resource.
englisch
9789400911659
10.1007/978-94-009-1165-9
Mechanics of Structural Systems ; 6-7
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 pin-jointed 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 tri-diagonal 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.