Êàðà÷óí Â.Â., Ìåëüíèê Â.Í.

Íàöèîíàëüíûé òåõíè÷åñêèé óíèâåðñèòåò Óêðàèíû «ÊÏÈ»

îêðóæíûå óïðóãèå äåôîðìàöèè ïîïëàâêîâîãî ïîäâåñà ïðîèçâîëüíîãî î÷åðòàíèÿ â àêóñòè÷åñêîì ïîëå

 

Ïðåäñòàâèì óðàâíåíèå äâèæåíèÿ â íàïðàâëåíèè ïàðàëëåëè â âèäå:

                                                                     

                              

                            

                                                 

                                                     

                                                                        

                                                                        

1                                                                           

1                                                                           

Ïðîñóììèðóåì:

                                 (1)

Óìíîæèì îáå ÷àñòè ýòîãî âûðàæåíèÿ íà  è ïðîèíòåãðèðóåì â ïðåäåëàõ îò  äî .

Ïîëó÷àåì:

ãäå                                  

Ïîâòîðÿåì ýòó æå ïðîöåäóðó äëÿ âòîðîé ñîñòàâëÿþùåé. Ïîëó÷àåì:

                                                                     

                                    

                            

                                                 

-                                                    

                                                                        

-                                                                      

1                                                                           

1                                                                           

Ïðîñóììèðóåì:

              (2)

Óìíîæàåì îáå ÷àñòè ýòîãî âûðàæåíèÿ íà  è èíòåãðèðóåì â ïðåäåëàõ  , . Ïîëó÷àåì:

            (3)

ãäå