On free vibrations of thin functionally graded plate bands resting on an elastic foundation

摘要: In this note free vibrations of plate bands with functionally graded properties, resting on an elastic foundation, are investigated. On the micro-level, these have a tolerance-periodic structure. It can be shown that in dynamic problems those objects, effect microstructure size plays role. This described framework tolerance model, which is presented here for bands. Obtained results evaluated introducing asymptotic model. Both fundamental and higher vibration frequencies calculated using Ritz method. The effects differences material properties cell microlevel foundation shown.