涡轮泵转子的临界转速研究_分布质量轴的传递矩阵法.pdf

2000 4 A pr . 2000 21 2 JO U R NA L O F P ROP U L SIO N T E CHN O L OG Y V ol . 21N o. 2 ( ) 张小龙, 何洪庆 ( , 7 10072) T im oskenko , 4 4 , , , , ; , , , , , + ; ; ; ; V 434. 21 A 100 1-4 055( 2000) 02-0052-04 Critical rotational speed of turbo pump rotor ( ) transfer matrix method for the distributed mass shaft Zhang Xiaolo ng , He Ho ng qing ( . , . , 7 10072 , ) Coll o f A st ro nautics N or thw estern Po lytechnical U niv Xi an China , 44 Abstract Accor ding to the mo ving p ar tial diff er ent ial equ ation s o f the ro tating T imoskenko beam the exa ct tr ansf er m atr ix of t he invo lv ed tr an slational inertia, ro tational iner tia, gy ro sco pic mo m ent s and shear def o rm at ion of the distribut ed sh aft m ass w er e dedu ced. T his m at rix w as al so applied to thr ee num erical exam ples o f the cr it ical ro ta- tio n sp eeds calculat ion s . T he r esult s o f calculation show th at the cr itica l ro tation sp eeds ar e diff er ent signif icantly