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Evaluation of the parameters of vibrations during dynamic balancing of the fan rotor according to Polish and International Standards

Śloderbach Z.

International Journal of Applied Mechanics and Engineering

2019

Vol. 24, no. 2

473--483

In the paper a procedure and methodology of acceptable calculations of powers, displacements (of amplitudes) and velocities of pulses according to ISO standards depending on the rotational speeds (frequencies) of rotor during attempts of dynamic breaking down taking into account effectiveness of vibration isolation were described. The proposed method is regarding one-sidedly hung rotors appearing in such appliances as rotors of fans, blowers, pumps and others. As permissible parameters of pulses values which are given in international standards PN-ISO-10816-1:1998P and PN-ISO-7919-1:2001 were assumed. Calculations were compared in the form of tables and they depicted with relevant graphs which have the character of useful nomograms. Also, recommendations for the design of the foundations and guidelines related to dimensions of the foundation, the weight and the way of fixing the device were given. In the end also closing remarks and conclusions were given.

Stability of parametric vibrations of functionally graded plate

Tylikowski A.

Vibrations in Physical Systems

2004

Vol. 21

391--394

A study of parametric vibrations of functionally graded plates subjected to in-plane time-dependent forces is presented. The rectangular plate described by geometrically non-linear partial differential equations is studied Moderately large deflection equations taking into account a coupling of in-plane and transverse motions are used. The parametric vibrations or dynamic stability of functionally graded plate are analysed using the direct Liapunov method. Due to a small thickness coupling, and rotary inertia terms are neglected. The asymptotic stability and almost-sure asymptotic stability criteria involving a damping coefficient and loading parameters are derived using Liapunov's direct method. Material properties are graded in the thickness direction of the plate according to volume fraction power law distribution. Studies of parametric vibrations of functionally graded shells made up of steel – zirkonia, nickel – SiN and aluminum - TiC are presented. An oscillating temperature causes generation of in-plane time-dependent forces destabilizing the plane state of the plate equilibrium.