Journal of Theoretical
and Applied Mechanics

19, 3, pp. 375-384, Warsaw 1981

Wrażliwość rozwiązań równania liniowych drgań membrany na zmiany współczynników równania

Roman Gutowski

The sensitivity of solution of is investigated the linear equation for a vibrating rectangular membrane, with respect to variation of equation coefficients. The sensitivity has been tested by the sensitivity function, defined in the paper, for which a partial differential equation has been derived. A properly established distance between the null solution to this equation and the solution of the differential equation of sensitivity has been used to estimate the double integral of the square of the sensitivity function. The estimation served later to investigate the variation with time of the double integrall and permitted to determine its limitations and convergence to zero as t to infty.