Virtual Principles in Aircraft Structures [E-Book] / 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...
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Full text |
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Personal Name(s): | Gatewood, B. E., author |
Imprint: |
Dordrecht :
Springer,
1989
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Physical Description: |
XXXIII, 695 p. 69 illus. online resource. |
Note: |
englisch |
ISBN: |
9789400911659 |
DOI: |
10.1007/978-94-009-1165-9 |
Series Title: |
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Mechanics of Structural Systems ;
6-7 |
Subject (LOC): |
- 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.