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Hybrid State Vector Equations
Integrating and Differentiating Matrices
7 other sections not shown
aeroelastic analysis analytical angle of attack angle-ply laminate Appendix applied approximation axial modes beam boundary conditions boundary value problems Chapter collocation intervals collocation points composite materials continuous function convenient convergence corresponding defined deformation derived developed differential equations differentiating matrix discontinuous discretization discussed displacement variables divergence velocities dynamic pressure eigenvalue problem end point nodes error 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 Laplace Laplace transform lift distribution lifting surfaces linear mixed variational mode shapes Newton integrating matrices Nondimensional frequencies numerical solution obtained orthogonal polynomials partitioned presented procedure quadrature roots loci Section shape functions side of Eq simple single layer solving stiffness strip theory structural dynamic structural reference axis subinterval symmetric Table transformation transition matrix uniform composite wing unsteady aerodynamic vector equations written zero