Аннотация:
The procedure for taking into account shear and rotational inertia in the case of transverse vibrations of
beam elements of material handling vehicles with different conditions of fastening (support) is considered. The
dynamic model of the rod element is supplemented with compressive forces with a fixed line of action and
monitors the angle of rotation of the rod. The Fourier method of separation of variables in the harmonic
vibrations of beams is applied. This made it possible to obtain a differential equation, kinematic and static
parameters in the amplitude state. The resulting differential equation is integrated, the fundamental functions
are normalized, and the complete solution is presented in matrix form with initial parameters. Four cases of
fundamental functions are revealed. For beam elements with different support conditions, the vibration
frequency has been refined. With hinged support, the first 5 frequencies of this work coincide with the
frequencies obtained by another approach.
