A Two-Dimensional Theory for Rotor Blade Flutter in Forward Flight

1971 ◽  
Vol 8 (12) ◽  
pp. 1008-1015 ◽  
Author(s):  
K. W. SHIPMAN ◽  
E. R. WOOD
AIAA Journal ◽  
2000 ◽  
Vol 38 ◽  
pp. 843-850
Author(s):  
Seong M. Jeon ◽  
In Lee

Author(s):  
David J. Steigmann

This chapter develops two-dimensional membrane theory as a leading order small-thickness approximation to the three-dimensional theory for thin sheets. Applications to axisymmetric equilibria are developed in detail, and applied to describe the phenomenon of bulge propagation in cylinders.


1986 ◽  
Vol 29 (1) ◽  
pp. 47-56 ◽  
Author(s):  
Christian Constanda

Kirchhoff's kinematic hypothesis that leads to an approximate two-dimensional theory of bending of elastic plates consists in assuming that the displacements have the form [1]In general, the Dirichlet and Neumann problems for the equilibrium equations obtained on the basis of (1.1) cannot be solved by the boundary integral equation method both inside and outside a bounded domain because the corresponding matrix of fundamental solutions does not vanish at infinity [2]. However, as we show in this paper, the method is still applicable if the asymptotic behaviour of the solution is suitably restricted.


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