Title :
Asymptotic analysis of eigenfrequencies of Euler-Bernoulli beam equation with structural damping
Author_Institution :
Dept. of Math. & Stat., Wichita State Univ., KS
Abstract :
An explicit expression is derived for the eigenfrequencies of a Euler-Bernoulli beam with damping modeled by an integro-PDE proposed by D.L. Russell. It is shown that the asymptotic distribution of the eigenspectrum is similar to that of a beam with a uniform damping constant acting opposite to the rate of change of the bending moment
Keywords :
damping; distributed parameter systems; partial differential equations; Euler-Bernoulli beam equation; asymptotic distribution; bending moment; distributed parameter systems; eigenfrequencies; eigenspectrum; structural damping; Boundary conditions; Buildings; Composite materials; Damping; Elasticity; Equations; Flexible structures; Frequency; Mathematical model; Statistical distributions;
Conference_Titel :
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location :
Tampa, FL
DOI :
10.1109/CDC.1989.70526
