Accession Number : AD0288112

Title :   RESPONSE OF A FLEXIBLY SUPPORTED STRING TO A CONVECTED RANDOM PRESSURE FIELD

Corporate Author : CALIFORNIA UNIV LOS ANGELES

Personal Author(s) : WHITE,P.H.

Report Date : SEP 1962

Pagination or Media Count : 1

Abstract : The purpose of the work is to investigate the influence of a certain feature always present to some extent in real structures--especially those of aerospace vehicles and submarines--but which has not been accounted for in the theoretical developments, namely, the effect of motion at the boundaries. The case considered is a classical linear string supported by ends having lateral flexibility and excited by a pressure field convected past it. The methods of normal modes and Fourier transforms are used extensively. By such methods the spectral density and mean square response may be readily found. The first part deals with a fixed end string in order to derive the general equations in a convenient form. The second part considers a string having boundary conditions governed by arbitrary impedances. For the arbitrary boundary conditions the eigenvalues of the equation of motion are not integral multiples and the eigenfunctions may not be orthogonal in the general sense. Several methods are derived whereby these non-orthogonal eigenfunctions may be used anyway to derive a set of uncoupled linear differential equations. (Author)

Descriptors :   *BEAMS (ELECTROMAGNETIC), *BEAMS (STRUCTURAL), *CONSTRUCTION, *FLUID MECHANICS, *HARMONIC ANALYSIS, *NOISE, *PRESSURE, *STRUCTURES, *VIBRATION

Distribution Statement : APPROVED FOR PUBLIC RELEASE