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Cross-Sectional Deformations of Monocoque Beams and Their Effects on the Natural Vibration Frequencies
NTRS Full-Text: Click to View  [PDF Size: 1.2 MB]
Author and Affiliation:
Thomson, Robert G.(NASA Langley Research Center, Hampton, VA United States);
Kruszewski, Edwin T.(NASA Langley Research Center, Hampton, VA United States)
Abstract: The variational principle, differential equations, and boundary conditions governing the cross-sectional distortions due to inertia loading of a two-dimensional model of a thin monocoque wing are shown. A theoretical analysis of this simplified model is made in order to determine the nature of the coupling between the cross-sectional modes and the spanwise deformation modes. General solutions are obtained in finite-difference form for arbitrary cross sections and an exact solution is presented for a parabolic-arc cross section of constant cover thickness. The application of these results in evaluating the coupled frequencies of the actual structure is discussed. Frequencies evaluated for a parabolic-arc monocoque beam show good agreement with experimental values.
Publication Date: Dec 01, 1961
Document ID:
19980227763
(Acquired Oct 31, 1998)
Subject Category: STRUCTURAL MECHANICS
Report/Patent Number: NASA-TN-D-987, L-1444
Document Type: Technical Report
Financial Sponsor: NASA; Washington, DC United States
Organization Source: NASA Langley Research Center; Hampton, VA United States
Description: 50p; In English
Distribution Limits: Unclassified; Publicly available; Unlimited
Rights: No Copyright
NASA Terms: MONOCOQUE STRUCTURES; AIRCRAFT STRUCTURES; DYNAMIC STRUCTURAL ANALYSIS; FINITE DIFFERENCE THEORY; STRUCTURAL VIBRATION; DEFORMATION; STRUCTURAL STABILITY; RESONANT FREQUENCIES; TWO DIMENSIONAL MODELS; BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; THIN WINGS
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