Study of vibrations of elastic bodies by computer algebra methods. Tutorial

The training manual briefly sets out the basics of fluctuations in elastic systems and presents tasks that students perform methods of computer algebra. Particular attention is paid to the tasks of obtaining Euler -Lagrange’s equations for mechanical systems with continuously distributed parameters, linarization of Euler -Lagrange’s equations in the vicinity of equilibrium provisions, numerical integration of linear and non -linear movements of movements under specified boundary conditions performed in the Mathematica package.
Materials presented in the manual are used in computer modeling and packages of application programs" (Computer Modeling and Applied Software) and Mathematical Software Packages readable for masters studying at St. Petersburg State University at the direction of training at the direction of training "Mechanics and mathematical modeling".
It is recommended that the teaching facilities of the Mathematical and Mechanical Faculty of St. Petersburg State University as a textbook in the direction of "mechanics and mathematical modeling"