Hybrid State Vector Methods for Structural Dynamic and Aeroelastic Boundary Value ProblemsNational Aeronautics and Space Administration, Scientific and Technical Information Branch, 1982 - Aeroelasticity - 181 pages |
Contents
Introduction | 3 |
Hybrid State Vector Equations | 9 |
Integrating and Differentiating Matrices | 27 |
10 other sections not shown
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Common terms and phrases
Abramowitz and Stegun aeroelastic analysis analytical angle of attack angle-ply laminate Appendix applied approximation axial modes boundary conditions boundary value problems Chapter collocation intervals collocation points composite materials convenient convergence corresponding defined deformation derived developed differential equations differentiating matrix dimensional discontinuous discretization discussed displacement variables divergence velocities EI)R eigenvalue problem elastic end point nodes exact expressions fiber orientation angle finite element global state vector grid points hybrid state vector integrating matrix approach integrating matrix solutions interpolation isotropic Jacobi integrating matrices Jacobi polynomials Jacobi solutions laminate Laplace transform lift distribution lifting surfaces linear mode shapes Newton integrating matrices Nondimensional frequencies nonlinear normalized numerical solution obtained orthogonal polynomials partitioned presented procedure quadrature Reissner roots loci Section shape functions side of Eq single layer solving stiffness strip theory structural dynamic structural reference axis subinterval symmetric Table transition matrix uniform composite wing unsteady aerodynamic vector equations zero