Generalization of a continuous structural and a discreter-structural approaches to the solution of problems on the dynamics of laminated composite stratification: an applied mathematical model for dynamic deformation of laminated compositestructures

摘要

An applied mathematical model for dynamic deformation of laminated structures has been constructed. The proposed model is the generalization of a continuous structural and a discrete structural approaches to the calculation of laminatedstructures. It makes it possible to consider a structure as a single layers with the reduced rigidity parameters, to divide this structure across its thickness into components which can consist of several layers and of their parts as well. A simulation of the layer contact conditions, namely, rigid and sliding ones, is possible. In the model proposed, the differential operators are similar to those which are used in the classical theory of shells, and this is convenient for the model realization using thenumerical methods.