n e w p e r s p e c t i v e s o fg e r e d b y o v e r l

N e w p e r s p e c t i v e s o fg e r e d b y - PowerPoint PPT Presentation

Jun 09, 2023 •386 likes •1.23k views

N e w p e r s p e c t i v e s o fg e r e d b y o v e r l a p s t o d e s i g n t r a n s p a r e n t b o u n d a r y c o n d i t i o n s i n w a v e g u i d e s V . B

  1. N e w p e r s p e c t i v e s o fg e r e d b y o v e r l a p s t o d e s i g n t r a n s p a r e n t b o u n d a r y c o n d i t i o n s i n w a v e g u i d e s V . B a r o n i a n , A . - S . B o n n e t - B e n D h i a , S . F l i s s , A . T o n n o i r . Wa v e s c o n f e r e n c e , 2 0 1 5

  2. C o n t e x t a n d mo t i v a t i o n N u me r i c a l s i mu l a t i o n o f N o n D e s t r u c t i v e T e s t i n g ( N D T ) e x p e r i me n t s C o n t e x t : u s i n g g u i d e d w a v e s i n e l a s t i c w a v e g u i d e s . 2

  3. C o n t e x t a n d mo t i v a t i o n C o n t e x t : N u me r i c a l s i mu l a t i o n o f N o n D e s t r u c t i v e T e s t i n g ( N D T ) e x p e r i me n t s u s i n g g u i d e d w a v e s i n e l a s t i c w a v e g u i d e s . B a s i c N D T e x p e r i me n t : E mi t t i n g a n i n c i d e n t w a v e 2

  4. C o n t e x t a n d mo t i v a t i o n C o n t e x t : N u me r i c a l s i mu l a t i o n o f N o n D e s t r u c t i v e T e s t i n g ( N D T ) e x p e r i me n t s u s i n g g u i d e d w a v e s i n e l a s t i c w a v e g u i d e s . B a s i c N D T e x p e r i me n t : E mi t t i n g a n i n c i d e n t w a v e a n d b y me a s u r i n g t h e d i fg r a c t e d fj e l d 2

  5. C o n t e x t a n d mo t i v a t i o n C o n t e x t : N u me r i c a l s i mu l a t i o n o f N o n D e s t r u c t i v e T e s t i n g ( N D T ) e x p e r i me n t s u s i n g g u i d e d w a v e s i n e l a s t i c w a v e g u i d e s . B a s i c N D T e x p e r i me n t : E mi t t i n g a n i n c i d e n t w a v e a n d b y me a s u r i n g t h e d i fg r a c t e d fj e l d D e f e c t w e w a n t t o d e t e c t t h e d e f e c t 2

  6. C o n t e x t a n d mo t i v a t i o n C o n t e x t : N u me r i c a l s i mu l a t i o n o f N o n D e s t r u c t i v e T e s t i n g ( N D T ) e x p e r i me n t s u s i n g g u i d e d w a v e s i n e l a s t i c w a v e g u i d e s . B a s i c N D T e x p e r i me n t : E mi t t i n g a n i n c i d e n t w a v e a n d b y me a s u r i n g t h e d i fg r a c t e d fj e l d D e f e c t w e w a n t t o d e t e c t t h e d e f e c t G u i d e d w a v e s f o r N D T : I n s p e c t i o n o n w i d e d i s t a n c e s w i t h o u t mo v i n g t h e c a p t o r s I n s p e c t i o n o f i n a c c e s s i b l e a r e a s 2

  7. C o n t e x t a n d mo t i v a t i o n C o n t e x t : N u me r i c a l s i mu l a t i o n o f N o n D e s t r u c t i v e T e s t i n g ( N D T ) e x p e r i me n t s u s i n g g u i d e d w a v e s i n e l a s t i c w a v e g u i d e s . B a s i c N D T e x p e r i me n t : E mi t t i n g a n i n c i d e n t w a v e a n d b y me a s u r i n g t h e d i fg r a c t e d fj e l d D e f e c t w e w a n t t o d e t e c t t h e d e f e c t G u i d e d w a v e s f o r N D T : I s s u e s : I n s p e c t i o n o n w i d e d i s t a n c e s w i t h o u t A n a l y s i s o f t h e mo v i n g t h e c a p t o r s e x p e r i me n t a l r e s u l t s I n s p e c t i o n o f i n a c c e s s i b l e a r e a s D e s i g n a n d o p t i mi z e c o n t r o l c o n fj g u r a t i o n s I n t e g r a t i o n o f t h e s i mu l a t i o n t o o l s i n t o C I V A ( C E A - S o f t w a r e ) . 2

  8. S i mu l a t i o n o f N D T w i t h C I V A 3

  9. Mo d e l p r o b l e ms T i me - h a r mo n i c d i fg r a c t i o n p r o b l e ms : S c a l a r e q u a t i o n ( a c o u s t i c c a s e ) : V e c t o r i a l e q u a t i o n ( e l a s t i c c a s e ) : w h e r e 4

  10. Mo d e l p r o b l e ms T i me - h a r mo n i c d i fg r a c t i o n p r o b l e ms : S c a l a r e q u a t i o n ( a c o u s t i c c a s e ) : V e c t o r i a l e q u a t i o n ( e l a s t i c c a s e ) : w h e r e D i ffjc u l t i e s : L o c a l i z e d d e f e c t o f a r b i t r a r y s h a p e I n fj n i t e d o ma i n A n i s o t r o p i c me d i u m G o a l : F i n d a r e f o r mu l a t i o n o f t h e p r o b l e m i n a b o u n d e d d o ma i n 4

  11. A b s o r b i n g l a y e r s ( S p o n g e l a y e r s ) T i me - h a r mo n i c d i fg r a c t i o n p r o b l e ms : S c a l a r e q u a t i o n ( a c o u s t i c c a s e ) : V e c t o r i a l e q u a t i o n ( e l a s t i c c a s e ) : w h e r e S p o n g e l a y e r s : , E ffj c i e n t N u m e r i c a l m o d e l i n g o f C a s t a i n g s e t a l A b s o r b i n g R e g i o n s f o r b o u n d a r i e s o f g u i d e d w a v e s S p o n g e l a y e r s p r o b l e m s , ( 2 0 0 6 ) I n v o l v e s o n l y s p a r s e ( F E ) ma t r i x 5

  12. A b s o r b i n g l a y e r s ( S p o n g e l a y e r s ) T i me - h a r mo n i c d i fg r a c t i o n p r o b l e ms : S c a l a r e q u a t i o n ( a c o u s t i c c a s e ) : V e c t o r i a l e q u a t i o n ( e l a s t i c c a s e ) : w h e r e S p o n g e l a y e r s : , E ffj c i e n t N u m e r i c a l m o d e l i n g o f C a s t a i n g s e t a l A b s o r b i n g R e g i o n s f o r b o u n d a r i e s o f g u i d e d w a v e s S p o n g e l a y e r s p r o b l e m s , ( 2 0 0 6 ) B u t r e q u i r e s v e r y l a r g e l a y e r s t o I n v o l v e s o n l y s p a r s e ( F E ) a v o i d s p u r i o u s r e fm e c t i o n s ma t r i x 5

  13. A b s o r b i n g l a y e r s ( P ML ) T i me - h a r mo n i c d i fg r a c t i o n p r o b l e ms : S c a l a r e q u a t i o n ( a c o u s t i c c a s e ) : V e c t o r i a l e q u a t i o n ( e l a s t i c c a s e ) : w h e r e P e r f e c t l y ma t c h e d l a y e r s : , A P e r f e c t l y m a t c h e d l a y e r f o r t h e B e r e n g e r a b s o r p t i o n o f e l e c t r o m a g n e t i c w a v e s , ( 1 9 9 4 ) P ML I n v o l v e s o n l y s p a r s e ( F E ) ma t r i x a n d p e r f e c t l y ma t c h e d 6

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