Journal of Theoretical
and Applied Mechanics

20, 1-2, pp. 127-139, Warsaw 1982

Optymalne kształtowanie belki trójwarstwowej w procesie ustalonych, harmonicznych drgań wymuszonych

Zygmunt Basista

For the triple-layer sandwich beam, with the constant, thickness and variable width of the layers, the differential equations have been derived. The problem of optimal choice of the beam width, based on the minimum of the mean square value (along the lenght) of amplitude of forced harmonical vibrations, has been formulated. Taking into consideration dampoing in the inner layer (complex modulus) and basing on Pontriagin's principle the problem has been solved with the aid of computer.