Elaboration of a methodology of power calculations of flat frames under conditions of forced oscillations

Abstract

The mathematical model proposed in this paper describes oscillations of a weightless frame with a point mass and simultaneous action of vertical and horizontal harmonic disturbing forces. The model is based on the method of forces, which establishes the relationship between the movement of the frame and the forces acting on it. Together with the model, dependences were obtained for calculating resonant frequencies of the oscillating system. The completed developments allow to determine dynamic characteristics of the oscillation process and to calculate frames for strength and rigidity. The methodology for this calculation is implemented in the Mathcad 15 environment and has been successfully tested on a number of learning tasks. The results of the work may be useful to students and teachers of technical universities, as well as practitioners who perform power calculations.