Abstract: The large-scale rotary machine with multi-supporting, such as rotary
kiln and rope laying machine, is the key equipment in the architectural,
chemistry, and agriculture industries. The body, rollers, wheels, and bearings
constitute a chain multibody system. Axis line deflection is a vital parameter
to determine mechanics state of rotary machine, thus body axial vibration needs
to be studied for dynamic monitoring and adjusting of rotary machine. By using
the Riccati transfer matrix method, the body system of rotary machine is
divided into many subsystems composed of three elements, namely, rigid disk,
elastic shaft, and linear spring. Multiple wheel-bearing structures are
simplified as springs. The transfer matrices of the body system and overall
transfer equation are developed, as well as the response overall motion
equation. Taken a rotary kiln as an instance, natural frequencies, modal shape,
and response vibration with certain exciting axis line deflection are obtained
by numerical computing. The body vibration modal curves illustrate the cause of
dynamical errors in the common axis line measurement methods. The displacement
response can be used for further measurement dynamical error analysis and
compensation. The response overall motion equation could be applied to predict
the body motion under abnormal mechanics condition, and provide theory guidance
for machine failure diagnosis.
Keywords: Multi-supporting, axis line, body vibration, anisotropy stiffness, Riccati transfer matrix method
