Purpose: To ensure an adequate level of accuracy, it is rational to study the ponderomotor
forces of the ring, which drive a hollow disk of variable thickness, hung on the ring.
Design/methodology/approach: The solution of the motion problem of a hollow disk of
variable thickness suspended on a force ring of rectangular cross section is based on the
method of solving the equations of the theory of thermoelasticity. The stress-strain state,
as well as the motion of the specified body of rotation, the disk, in studies in a cylindrical
coordinate system, under the action of ponderomotor forces.
Findings: The motion equation of a hollow disk hung on a force ring-torus is made, exact
solutions of the motion equations of a ring in the torus form of rectangular cross section are
found. New component expressions of ponderomotor forces, which appear from the action
of the ring's own electromagnetic field and cause the motion of a hollow disk, have been
found on the basis of Maxwell's equations. It is proved that at high speeds and low natural
accelerations the stress - strain state of the disk material does not cause the destruction of
the structure.
Research limitations/implications: Calculations of ponderomorphic forces are valid for
the ring, which drives a hollow disk of variable thickness, hung on the ring.
Practical implications: It is proved that at high velocities and small natural accelerations
the stress-strain state of the disk medium does not cause structural damage. It is determined
that the rotation in the direction of movement at an angle of 90 degrees changes only the
direction of the acceleration vector without increasing its value.
Originality/value: The dependences between own time and coordinate time are
formulated. It is proved that a small change in the natural time for the studied disk can
significantly change the coordinate time, and the pulsed electromagnetic field provides the
ability to cover infinitely large distances over finite periods of time.
Stress-strain state of rectangular shallow shells of variable thickness under various boundary conditions
