Dynamic state of beam system with variable parameters under moveable load action

Аuthors

Firsanov V. V.^*, Tran Ngoc D. ^**

Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia

*e-mail: k906@mai.ru
**e-mail: trandoan@mail.ru

Abstract

An important applied problem is studied, which consists in oscillation analysis for two beams with variable parameters under moveable load action. A technique basing on decomposition on natural oscillation modes is used to derive mathematical model for the problem. The elastic beam system must be expanded in this case with zero-motion modes as for a perfectly rigid body case. Lagrange second-degree equations are used to calculate oscillations of the system. Effect of various factors to dynamic state of the beam with variable parameters is investigated under moveable load action.

Keywords:

dynamic state; beam system; moveable load; system oscillation; variable parameters; natural oscillation modes; Lagrange equations; acceleration; reaction; compliance