*) Ðàáîòà âûïîëíåíà ïðè ïîääåðaeêå ÐÔÔÈ (ãðàíò 05-08-50187à) è Ìèíèñòåðñòâà îáðàçîâàíèÿ è íàóêè ÐÔ (ãðàíò Ïðåçèäåíòà ÐÔ íà ïîääåðaeêó âåäóùèõ íàó÷íûõ øêîë ÍØ-6391.2006.8).

Ïðåäñòàâëåíû ðåçóëüòàòû ÷èñëåííî-àíàëèòè÷åñêîãî èññëåäîâàíèÿ óñòîé-÷èâîñòè àêñèàëüíî íàãðóaeåííîãî ñòåðaeíÿ. Ðàññìîòðåííàÿ ìîäåëü ïîçâîëÿåò ïîëó÷èòü ãðàíèöó óñòîé÷èâîñòè â ïðîñòðàíñòâå ïàðàìåòðîâ è èçó÷èòü ïîâåäåíèå ñòåðaeíÿ íåïîñðåäñòâåííî ïîñëå ïîòåðè óñòîé÷èâîñòè. Ïîòåðÿ óñòîé÷èâîñòè ïðîÿâëÿåòñÿ â âèäå áèôóðêàöèè, ïðè êîòîðîé ðîaeäàþòñÿ íîâûå ðàâíîâåñíûå ñîñòîÿíèÿ èëè óñòîé÷èâûé ïðåäåëüíûé öèêë.

The paper presents a numerical and analytical investigation of the stability of a cantilevered pipeline transporting an incompressible fluid flow at a constant speed compressed by tracking force at the free end. To solve the problem, a dynamic approach based on the analysis of the behavior of the system’s own characteristics is used. In contrast to the classical research approaches, which are based on the representation of the solution of the problem using a finite number of basic functions, an algorithm that does not require such a restriction is proposed.

The paper presents the results of a research of the stability of a rigid homogeneous rotor with a symmetrical relative to the middle arrangement of radial EMB, supported in the vertical direction by an axial EMB. In the first part of the work, the researches were held using a proportional-differential regulator in the system. In the second part of the work was considered the impact of the control function parameters in the cases of instantaneous generation of the displacement signal and with delay.

Ïðåäñòàâëåíû ðåçóëüòàòû àíàëèòè÷åñêîãî èññëåäîâàíèÿ äèíàìèêè êðèâîëèíåéíîãî òðóáîïðîâîäà ïðîñòîé ãåîìåòðè÷åñêîé ôîðìû ïðè âîëíîâîì ïðîöåññå â ïîòîêå aeèäêîñòè. Ïîêàçàíà îïàñíîñòü âîçáóaeäåíèÿ âûíóaeäåííûõ êîëåáàíèé òðóáîïðîâîäà ïðè áëèçîñòè è ñîâïàäåíèè ÷àñòîò ñîáñòâåííûõ êîëåáàíèé ïîñëåäíåãî è îñíîâíîé ãàðìîíèêè âîçíèêàþùåé ãèäðîäèíàìè÷åñêîé ñèëû. Ðåçóëüòàòû ïðåäíàçíà÷åíû äëÿ êîíòðîëèðîâàíèÿ ðàáîòû èìåþùåãîñÿ óíèâåðñàëüíîãî ïðîãðàììíîãî êîìïëåêñà è ïîëó÷åíèÿ êà÷åñòâåííîãî ïðåäñòàâëåíèÿ î õàðàêòåðå ïðîöåññîâ è èõ çàâèñèìîñòè îò ïàðàìåòðîâ è âîçìóùåíèÿ. Êëþ÷åâûå ñëîâà: ìàòåìàòè÷åñêîå ìîäåëèðîâàíèå, òðóáîïðîâîä, ñaeèìàåìàÿ aeèäêîñòü, ãèäðàâëè÷åñêèé óäàð, âîëíîâîé ïðîöåññ, àíàëèòè÷åñêèå ìåòîäû, êîëåáàíèÿ, ðåçîíàíñ. *) Ðàáîòà âûïîëíåíà ïðè ïîääåðaeêå ÐÔÔÈ (ãðàíò ¹11-08-97040-ð_Ïîâîëaeüå_à), Ïðîãðàììîé ãîñóäàðñòâåííîé ïîääåðaeêè âåäóùèõ íàó÷íûõ øêîë ÐÔ (ãðàíò ÍØ-2843.2012.8) è ÔÖÏ «Íàó÷íûå è íàó÷íî-ïåäàãîãè÷åñêèå êàäðû èííîâàöèîííîé Ðîññèè» íà 2009-2013 ãîäû (ÃÊ ¹ 16.740.11.0087). ÏÐÎÁËÅÌÛ ÏÐÎ×ÍÎÑÒÈ È ÏËÀÑÒÈ×ÍÎÑÒÈ, âûï. 74, 2012 ã.