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The realization of modal superposition method in shell dynamic problems with constructive heterogeneites

Zarutsky V., Lerman L.

Zeszyty Naukowe Politechniki Rzeszowskiej. Mechanika

1999

z. 52 [174]

127-132

In this paper the practical reaIization of the modal superposition method conformably to linked systems of think - walled elements were considered. The solutions of non-stationary problems for shells with constructive heterogeneites in form of local support elements were received and two possibilities of this approach have been realized. First one is connected with using modal superposition of separate elements and finding of the dynamical interaction stresses on the base of kinematic compatibility conditions. Such a possibility was realized on example of plates (shallow shells) with elastic interior rod supports. Seeond way is based on series' expansions for the stationary states of the system as a whole. In this case the dynamic deformation problem of spherical caps (ring plates) with a coaxial cylindrical shell a support element was solved. For both problems the results af the calculations done are presented.