%0 Journal Article
%T Parametric investigation of acoustic radiation by a beam under load and actuator forces §±§Ñ§â§Ñ§Þ§Ö§ä§â§Ú§é§Ö§ã§Ü§à§Ö §Ú§ã§ã§Ý§Ö§Õ§à§Ó§Ñ§ß§Ú§Ö §Ñ§Ü§å§ã§ä§Ú§é§Ö§ã§Ü§à§Ô§à §Ú§Ù§Ý§å§é§Ö§ß§Ú§ñ §Ò§Ñ§Ý§Ü§à§Û §á§à§Õ §ß§Ñ§Ô§â§å§Ù§Ü§à§Û §Ú §Ñ§Ü§ä§å§Ñ§ä§à§â§Ñ§Þ§Ú §ä§Ú§á§Ñ §ã§Ú§Ý§í §±§¡§²§¡§®§¦§´§²§ª§¹§¯§¦ §¥§°§³§­ §¥§¨§¦§¯§¯§Á §¡§¬§µ§³§´§ª§¹§¯§°§¤§° §£§ª§±§²§°§® §¯§À§£§¡§¯§¯§Á §¢§¡§­§¬§°§À §± §¥ §¯§¡§£§¡§¯§´§¡§¨§¦§¯§¯§Á§® §´§¡ §¡§¬§´§µ§¡§´§°§²§¡§®§ª §´§ª§±§µ §³§ª§­§ª
%A Alexander Zaporozhets
%A Vadim Tokarev
%A Werner Hufenbach
%A Olaf Taeger
%J Proceedings of National Aviation University
%D 2005
%I National Aviation University
%X The objective of this paper is to investigate the parametric characteristics of oscillating beam using an analytical theory of beam vibration. Analytical investigation of the bending oscillations of a finite elastic beam is considered for criteria based on minimal acoustic radiation. The solution of the task is defined by solving of Helmholtz equation and inhomogeneous differential equation for beam bending vibration with harmonic time dependence. For calculation of the acoustic field a model of a plane piston, which is set in an infinite rigid baffle, is used.  §ª§ã§ã§Ý§Ö§Õ§à§Ó§Ñ§ß§í §á§Ñ§â§Ñ§Þ§Ö§ä§â§Ú§é§Ö§ã§Ü§Ú§Ö §ç§Ñ§â§Ñ§Ü§ä§Ö§â§Ú§ã§ä§Ú§Ü§Ú §Ü§à§Ý§Ö§Ò§Ñ§ß§Ú§Û §Ò§Ñ§Ý§Ü§Ú §ã §Ú§ã§á§à§Ý§î§Ù§à§Ó§Ñ§ß§Ú§Ö§Þ §Ñ§ß§Ñ§Ý§Ú§ä§Ú§é§Ö§ã§Ü§à§Û §ä§Ö§à§â§Ú§Ú §Ó§Ú§Ò§â§Ñ§è§Ú§Ú §Ò§Ñ§Ý§Ü§Ú. §¡§ß§Ñ§Ý§Ú§ä§Ú§é§Ö§ã§Ü§à§Ö §Ú§ã§ã§Ý§Ö§Õ§à§Ó§Ñ§ß§Ú§Ö §Ú§Ù§Ô§Ú§Ò§ß§í§ç §Ü§à§Ý§Ö§Ò§Ñ§ß§Ú§Û §ï§Ý§Ñ§ã§ä§Ú§é§ß§à§Û §Ò§Ñ§Ý§Ü§Ú §Ü§à§ß§Ö§é§ß§í§ç §â§Ñ§Ù§Þ§Ö§â§à§Ó §â§Ñ§ã§ã§Þ§à§ä§â§Ö§ß§à §Õ§Ý§ñ §Ü§â§Ú§ä§Ö§â§Ú§ñ, §à§á§â§Ö§Õ§Ö§Ý§ñ§ð§ë§Ö§Ô§à §Þ§Ú§ß§Ú§Þ§Ñ§Ý§î§ß§à§Ö §Ñ§Ü§å§ã§ä§Ú§é§Ö§ã§Ü§à§Ö §Ú§Ù§Ý§å§é§Ö§ß§Ú§Ö. §²§Ö§ê§Ö§ß§Ú§Ö §Ù§Ñ§Õ§Ñ§é§Ú §à§á§â§Ö§Õ§Ö§Ý§Ö§ß§à §Õ§Ý§ñ §å§â§Ñ§Ó§ß§Ö§ß§Ú§ñ §¤§Ö§Ý§î§Þ§Ô§à§Ý§î§è§Ñ §Ú §ß§Ö§à§Õ§ß§à§â§à§Õ§ß§à§Ô§à §Õ§Ú§æ§æ§Ö§â§Ö§ß§è§Ú§Ñ§Ý§î§ß§à§Ô§à §å§â§Ñ§Ó§ß§Ö§ß§Ú§ñ §Ô§Ñ§â§Þ§à§ß§Ú§é§Ö§ã§Ü§Ú§ç §Ú§Ù§Ô§Ú§Ò§ß§í§ç §Ü§à§Ý§Ö§Ò§Ñ§ß§Ú§Û §Ò§Ñ§Ý§Ü§Ú. §¥§Ý§ñ §â§Ñ§ã§é§Ö§ä§Ñ §Ñ§Ü§å§ã§ä§Ú§é§Ö§ã§Ü§à§Ô§à §á§à§Ý§ñ §Ú§ã§á§à§Ý§î§Ù§à§Ó§Ñ§ß§Ñ §Þ§à§Õ§Ö§Ý§î §á§à§â§ê§ß§ñ, §å§ã§ä§Ñ§ß§à§Ó§Ý§Ö§ß§ß§à§Ô§à §ß§Ñ §Ò§Ö§ã§Ü§à§ß§Ö§é§ß§í§Û §ï§Ü§â§Ñ§ß.  §¥§à§ã§Ý §Õ§Ø§Ö§ß§à §á§Ñ§â§Ñ§Þ§Ö§ä§â§Ú§é§ß  §ç§Ñ§â§Ñ§Ü§ä§Ö§â§Ú§ã§ä§Ú§Ü§Ú §Ü§à§Ý§Ú§Ó§Ñ§ß§î §Ò§Ñ§Ý§Ü§Ú §Ù §Ó§Ú§Ü§à§â§Ú§ã§ä§Ñ§ß§ß§ñ§Þ §Ñ§ß§Ñ§Ý §ä§Ú§é§ß§à  §ä§Ö§à§â   §Ó §Ò§â§Ñ§è   §Ò§Ñ§Ý§Ü§Ú. §¡§ß§Ñ§Ý §ä§Ú§é§ß§Ö §Õ§à§ã§Ý §Õ§Ø§Ö§ß§ß§ñ §Ù§Ô§Ú§ß§Ñ§Ý§î§ß§Ú§ç §Ü§à§Ý§Ú§Ó§Ñ§ß§î §Ö§Ý§Ñ§ã§ä§Ú§é§ß§à  §Ò§Ñ§Ý§Ü§Ú §Ü §ß§è§Ö§Ó§Ú§ç §â§à§Ù§Þ §â §Ó §â§à§Ù§Ô§Ý§ñ§ß§å§ä§à §Õ§Ý§ñ §Ü§â§Ú§ä§Ö§â §ð, §ë§à §Ó§Ú§Ù§ß§Ñ§é§Ñ  §Þ §ß §Þ§Ñ§Ý§î§ß§Ö §Ñ§Ü§å§ã§ä§Ú§é§ß§Ö §Ó§Ú§á§â§à§Þ §ß§ð§Ó§Ñ§ß§ß§ñ. §²§à§Ù§Ó¡¯§ñ§Ù§à§Ü §Ù§Ñ§Õ§Ñ§é  §Ó§Ú§Ù§ß§Ñ§é§Ö§ß§à §Õ§Ý§ñ §â §Ó§ß§ñ§ß§ß§ñ §¤§Ö§Ý§î§Þ§Ô§à§Ý§î§è§Ñ   §ß§Ö§à§Õ§ß§à§â §Õ§ß§à§Ô§à §Õ§Ú§æ§Ö§â§Ö§ß§è §Û§ß§à§Ô§à §â §Ó§ß§ñ§ß§ß§ñ §Ô§Ñ§â§Þ§à§ß §é§ß§Ú§ç §Ù§Ô§Ú§ß§Ñ§Ý§î§ß§Ú§ç §Ü§à§Ý§Ú§Ó§Ñ§ß§î §Ò§Ñ§Ý§Ü§Ú. §¥§Ý§ñ §à§Ò§é§Ú§ã§Ý§Ö§ß§ß§ñ §Ñ§Ü§å§ã§ä§Ú§é§ß§à§Ô§à §á§à§Ý§ñ §Ù§Ñ§ã§ä§à§ã§à§Ó§Ñ§ß§à §Þ§à§Õ§Ö§Ý§î §á§à§â§ê§ß§ñ, §å§ã§ä§Ñ§ß§à§Ó§Ý§Ö§ß§à§Ô§à §ß§Ñ §ß§Ö§ã§Ü §ß§é§Ö§ß§ß§Ú§Û §Ö§Ü§â§Ñ§ß.
%U http://jrnl.nau.edu.ua/index.php/visnik/article/view/1231