Journal ArticleDOI
Discrete Variable Approximation to Minimum Weight Panels with Fixed Flutter Speed
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In this paper, a numerical technique for determining the minimum weight design of a one-dimensional panel for which an aeroelastic eigenvalue characterizing the flutter speed is held constant is presented.Abstract:
T paper presents a numerical technique for determining the minimumweight design of a one-dimensional panel for which an aeroelastic eigenvalue characterizing the flutter speed is held constant. The governing differential equations are approximated by sets of difference equations adjoined to the weight function via a penalty function. A conjugate gradient method is applied to the resulting sequence of unconstrained minimization problems. Numerical results are obtained for solid simplysupported panels with constant inplane stresses. These results supplement those of Armand and Vitte who posed a solid panel problem without inplane stresses and Weisshaar who obtained numerical solutions for a sandwich panel without inplane stresses using a minimum thickness constraint. The discrete variable technique has been applied previously to flight path optimization and is thought to have several advantages, including 1) ease of implementation, 2) exact satisfaction of boundary conditions, 3) ability to treat the frequency parameter a as an additional problem variable, 4) ability to avoid the differential equation end point singularities without imposing a minimum thickness constraint, and 5) ease in obtaining adequate initial solution estimates.read more
Citations
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Journal ArticleDOI
Optimum Structural Design with Plate Bending Elements—A Survey
Raphael T. Haftka,Biren Prasad +1 more
TL;DR: A survey of recently published papers in the field of optimum structural design of plates, largely with respect to the minimum-weight design of plate subject to such constraints as fundamental frequency maximization, can be found in this paper.
Journal ArticleDOI
Panel flutter optimization by gradient projection
TL;DR: In this paper, a gradient projection optimal control algorithm incorporating conjugate gradient directions of search is described and applied to several minimum weight panel design problems subject to a flutter speed constraint.
Journal ArticleDOI
Sensitivity analysis and optimization of aeroelastic stability
TL;DR: In this article, the authors deal with problems concerning sensitivity analysis and optimization of aeroelastic stability of distributed systems, where the optimal control function h ∗ ( y ) to be determined represents the mass and stiffness distribution along a wing span.
Journal ArticleDOI
Use of Galerkin's Method for Minimum-Weight Panels with Dynamic Constraints
Gerald M. Van Keuren,F. Eastep +1 more
TL;DR: Galerkin's method is applied to the design of minimum-weight structures with dynamic constraints in this article, where the problems considered include the weight optimization of a simply supported beam and a panel, with the condition that their fundamental frequencies be the same as those of corresponding uniform-thickness structures.
Journal ArticleDOI
Panel flutter optimization—a refined finite element approach
TL;DR: In this article, a refined finite element technique is used to model the panel flutter equilibrium equations, equations which act as constraints on the design search, and the results of the study show that the weight savings and material distribution found with an effective finite element model are comparable to those found by more complicated numerical methods.
References
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An Application of Control Theory Methods to the Optimization of Structures Having Dynamic or Aeroelastic Constraints.
TL;DR: Optimal control models for design of structures with weights minimized by constraints involving fixed eigenvalues were proposed in this article, where the optimal control models were optimized by minimizing the weights of the structure.
Foundations of aeroelastic optimization and some applications to continuous systems
TL;DR: In this article, the Hamiltonian formulation of variational calculus for structural optimization with aeroelastic constraints is used to find the structure with minimal weight satisfying the same requirements as the reference structure.
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