Dynamics and stability fixed by one end in the beam ground

Existing methods of mathematical description of transverse oscillations of high rise buildings are just superfluous for oscillatory processes with small amplitudes. In earthquakes, the amplitude of transverse oscillations of the tops of high-rise buildings sometimes reaches up to a meter and more. With such oscillations in the horizontal direction, an arbitrary section of the building moves in the vertical direction, contributing to the appearance of nonlinear inertial forces. The work is aimed at investigating the nuclear inertia, crammed at one end in the beam ground with a mass concentrated at the free end, which imitates a high-rise building, with transverse vibrations. The function of nuclear inertia, the equation of oscillation of a beam with a mass distributed over the length, and the dependence of the oscillation amplitude on the maximum acceleration of the soil, taking into account nuclear inertial forces, are obtained