Locally analytical method to calculate normalized integral matrices in mechanics of deformable solid body

Applied Mathematics, Mechanics and Physics


Korovaytsev A. V.1*, Korovaytseva E. A.2**

1. Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia
2. Institute of Mechanics Lomonosov Moscow State University, 1, Michurinsky prospect, Moscow, 119192, Russia

*e-mail: Rus_Region@mail.ru
**e-mail: katrell@mail.ru


A locally analytical method is suggested to calculate normalized integral matrices for linear models of deformable elements. The matrices are defined for boundary problem conditions expressed in vector-matrix form. Lattice function theory techniques are used to derive integral matrices in analytical form basing on some special identity transformation of the source mechanical problem. The method allows us to abandon usage of mesh functions. A typical example demonstrates capabilities of the method.


deflected mode analysis, boundary problems, integrated matrices, locally analytical solutions, comparative analysis

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