SEMINAR 1. INTRODUCTION INTO THE R-FUNCTIONS THEORY - PROF. TETYANA SHMATKO - FRIDAY 13th MAY 2022

Dipartimento di Ingegneria “Enzo Ferrari” - Aula P2.3 (FA-2C)

SERIES OF SEMINARS PROF. TETYANA SHMATKO FRIDAY

13th MAY 2022

SEMINAR 1. INTRODUCTION INTO THE R-FUNCTIONS THEORY 11:00 – 13:00

Construction of predicate equations of geometrical objects by the Boolean functions. Definition of the Rfunctions. Connection between Boolean functions and the R-functions. Construction of boundary of an arbitrary domain in form of unique analytical expression.


SEMINAR 2. APPLICATION OF THE R-FUNCTIONS THEORY FOR CONSTRUCTING THE SYSTEM OF BASIC (ADMISSIBLE) FUNCTIONS 15:00 – 17:00

Conception of a solution structure of boundary value problem. Solution structures for the main types of boundary value problems for differential equations of the second order (equation by Laplace). Some solution structures for biharmonic differential equation. 


FRIDAY 20th MAY 2022 SEMINAR 3. METHOD OF THE R-FUNCTIONS (RFM) 11:00 – 13:00

Combination of the R-functions theory and the Ritz method for solving boundary value problem. Solution of the equation by Laplace. Solution of bending problem of plate using the R-functions theory.


SEMINAR 4. APPLICATION OF THE R-FUNCTIONS METHOD FOR SOLUTION OF SOME PROBLEMS OF THE SHALLOW SHELLS OF AN ARBITRARY SHAPE 15:00 – 17:00

Bending of shallow shells with different boundary conditions. Vibration of orthotropic shallow shell of the variable thickness. Vibration of FGM shallow shells. Evento aperto al pubblico rivolto agli studenti di Dottorato e dei corsi di Laurea Magistrale