Search for two-frequency motion modes of single-mass vibratory machine with vibration exciter in the form of passive auto-balancer

Studying the load jam modes within the framework of a flat model of the rotor with an auto­balancer

“…Authors of [16] analytically derived and examined load jam modes within the framework of a single-mass vibration machine with straight forward motion of the platform and a vibration exciter in the form of an auto-balancer with many loads. They explored only those jam modes under which the loads are assembled together.…”

“…Let us analyze the results obtained. Detecting, in papers [2,16], the three, rather than one, possible frequencies of load jams is due to that these speeds were determined from exact formulae [2] or in higher approximation [16]. In studies [5,[7][8][9][10][11][12][13][14][15] the frequencies of load jams were determined approximately, by different approximation methods.…”

“…This is how the jam modes were found under which the loads are assembled together. Therefore, the analytical theory was built exactly for such a regime; the issue of the existence of other jam modes was not addressed [7,[9][10][11][12][13]16].…”

“…[1][2][3][4][5][6][7][8][9][10][11][12][13], are used for balancing high-rotational rotors at operation. The same devices with a single or more loads can be used in vibration machines in order to excite vibrations [14][15][16][17][18].…”

“…-load jams (caused by the Sommerfeld effect) [5][6][7][8][9][10][11][12][13][14][15][16]; -parametric and other oscillations of loads [17,18].…”