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Flutter and Divergence Analysis Using the Generalized Aeroelastic Analysis Method (Paperback)
Loot Price: R381
Discovery Miles 3 810
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Flutter and Divergence Analysis Using the Generalized Aeroelastic Analysis Method (Paperback)
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Loot Price R381
Discovery Miles 3 810
Expected to ship within 10 - 15 working days
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The Generalized Aeroelastic Analysis Method (GAAM) is applied to
the analysis of three well-studied checkcases: restrained and
unrestrained airfoil models, and a wing model. An eigenvalue
iteration procedure is used for converging upon roots of the
complex stability matrix. For the airfoil models, exact root loci
are given which clearly illustrate the nature of the flutter and
divergence instabilities. The singularities involved are
enumerated, including an additional pole at the origin for the
unrestrained airfoil case and the emergence of an additional pole
on the positive real axis at the divergence speed for the
restrained airfoil case. Inconsistencies and differences among
published aeroelastic root loci and the new, exact results are
discussed and resolved. The generalization of a Doublet Lattice
Method computer code is described and the code is applied to the
calculation of root loci for the wing model for incompressible and
for subsonic flow conditions. The error introduced in the reduction
of the singular integral equation underlying the unsteady lifting
surface theory to a linear algebraic equation is discussed.
Acknowledging this inherent error, the solutions of the algebraic
equation by GAAM are termed 'exact.' The singularities of the
problem are discussed and exponential series approximations used in
the evaluation of the kernel function shown to introduce a dense
collection of poles and zeroes on the negative real axis. Again,
inconsistencies and differences among published aeroelastic root
loci and the new 'exact' results are discussed and resolved. In all
cases, aeroelastic flutter and divergence speeds and frequencies
are in good agreement with published results. The GAAM solution
procedure allows complete control over Mach number, velocity,
density, and complex frequency.
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