AXISYMMETRIC BENDING OF CIRCULAR SANDWICH PLATE ON ELASTIC FOUNDATION WITH COMPLICATED STRUCTURE
T h e a p p r o xim a t e clo s e d - fo r m s olu tio n t o t h e p r o ble m o n a cir c ula r m ultila y e r ( s a n d wic h ) c o n s t a n t -t hic k n e s s pla t e b e n din g o n a n ela s tic fo u n d a tio n wit h a c o m plic a t e d s tr u c t u r e is o b t ain e d. T h e pla t e is b e...
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| Format: | Article |
| Language: | Russian |
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Don State Technical University
2014-06-01
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| Series: | Advanced Engineering Research |
| Subjects: | |
| Online Access: | https://www.vestnik-donstu.ru/jour/article/view/304 |
| _version_ | 1797881346711879680 |
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| author | Sergey Mikhaylovich Ayzikovich Sergey Sergeyevich Volkov Avetik Vardanovich Melkonyan |
| author_facet | Sergey Mikhaylovich Ayzikovich Sergey Sergeyevich Volkov Avetik Vardanovich Melkonyan |
| author_sort | Sergey Mikhaylovich Ayzikovich |
| collection | DOAJ |
| description | T h e a p p r o xim a t e clo s e d - fo r m s olu tio n t o t h e p r o ble m o n a cir c ula r m ultila y e r ( s a n d wic h ) c o n s t a n t -t hic k n e s s pla t e b e n din g o n a n ela s tic fo u n d a tio n wit h a c o m plic a t e d s tr u c t u r e is o b t ain e d. T h e pla t e is b e n t u n d e r t h e a xis y m m e t ric dis trib u t e d lo a d , a n d t h e fo u n d a tio n r e a c tio n . T h e ela s tic fo u n d a tio n is a u nifo r mly ir r e g ula r in t hic k n e s s la y e r ( c o a tin g ) b a s e d o n a h o m o g e n e o u s h alf- s p a c e ( s u b s tr a t e ). Y o u n g’s m o d ulu s v alu e a t t h e in t e rf a c e o f t h e c o a tin g a n d t h e s u b s tr a t e h a s a sig nific a n t le a p. T w o diff e r e n t c a s e s o f t h e b o u n d a r y c o n ditio n s a r e c o n sid e r e d f o r t h e pla t e : fix e d a n d fr e e e d g e c o n ditio n s . T h e c o n s t r u c t e d a p p r o xim a t e a n aly tic al s olu tio n t o t h e p r o ble m is e ff e c tiv e f o r a wid e r a n g e o f b o t h g e o m e t ric ( t h e in h o m o g e n e o u s la y e r t hic k n e s s a n d t h e pla t e r a diu s ) a n d p h y sic al p a r a m e t e r s ( pla t e fle xibilit y , a n d ela s tic p r o p e r tie s o f t h e c o a tin g a n d t h e s u b s t r a t e ). T h e c o n t a c t p r o ble m is r e d u c e d t o t h e s y s t e m o f t h e in t e g r o diff e r e n tial e q u a tio n s olu tio n t h r o u g h t h e in t e g r al tr a n s fo r m a tio n m e t h o d . T h e o b t ain e d fo r m ula s c a n b e u s e d fo r c alc ula tin g t h e c o n t a c t in t e r a c tio n c h a r a c t e ris tic s b e t w e e n a m ultila y e r pla t e a n d a f o u n d a tio n wit h a c o m ple x s t r u c t u r e in v a rio u s c a s e s o f t h e b o u n d a r y c o n ditio n s, a n d v a rio u s lo a d s a p plie d t o t h e pla t e. |
| first_indexed | 2024-04-10T03:18:43Z |
| format | Article |
| id | doaj.art-2ef1af1cf42143d1947d65d95d17f104 |
| institution | Directory Open Access Journal |
| issn | 2687-1653 |
| language | Russian |
| last_indexed | 2024-04-10T03:18:43Z |
| publishDate | 2014-06-01 |
| publisher | Don State Technical University |
| record_format | Article |
| series | Advanced Engineering Research |
| spelling | doaj.art-2ef1af1cf42143d1947d65d95d17f1042023-03-13T07:31:25ZrusDon State Technical UniversityAdvanced Engineering Research2687-16532014-06-0114251410.12737/4547297AXISYMMETRIC BENDING OF CIRCULAR SANDWICH PLATE ON ELASTIC FOUNDATION WITH COMPLICATED STRUCTURESergey Mikhaylovich Ayzikovich0Sergey Sergeyevich Volkov1Avetik Vardanovich Melkonyan2Донской государственный технический университет, РоссияДонской государственный технический университет, РоссияИнститут механики НАН, АрменияT h e a p p r o xim a t e clo s e d - fo r m s olu tio n t o t h e p r o ble m o n a cir c ula r m ultila y e r ( s a n d wic h ) c o n s t a n t -t hic k n e s s pla t e b e n din g o n a n ela s tic fo u n d a tio n wit h a c o m plic a t e d s tr u c t u r e is o b t ain e d. T h e pla t e is b e n t u n d e r t h e a xis y m m e t ric dis trib u t e d lo a d , a n d t h e fo u n d a tio n r e a c tio n . T h e ela s tic fo u n d a tio n is a u nifo r mly ir r e g ula r in t hic k n e s s la y e r ( c o a tin g ) b a s e d o n a h o m o g e n e o u s h alf- s p a c e ( s u b s tr a t e ). Y o u n g’s m o d ulu s v alu e a t t h e in t e rf a c e o f t h e c o a tin g a n d t h e s u b s tr a t e h a s a sig nific a n t le a p. T w o diff e r e n t c a s e s o f t h e b o u n d a r y c o n ditio n s a r e c o n sid e r e d f o r t h e pla t e : fix e d a n d fr e e e d g e c o n ditio n s . T h e c o n s t r u c t e d a p p r o xim a t e a n aly tic al s olu tio n t o t h e p r o ble m is e ff e c tiv e f o r a wid e r a n g e o f b o t h g e o m e t ric ( t h e in h o m o g e n e o u s la y e r t hic k n e s s a n d t h e pla t e r a diu s ) a n d p h y sic al p a r a m e t e r s ( pla t e fle xibilit y , a n d ela s tic p r o p e r tie s o f t h e c o a tin g a n d t h e s u b s t r a t e ). T h e c o n t a c t p r o ble m is r e d u c e d t o t h e s y s t e m o f t h e in t e g r o diff e r e n tial e q u a tio n s olu tio n t h r o u g h t h e in t e g r al tr a n s fo r m a tio n m e t h o d . T h e o b t ain e d fo r m ula s c a n b e u s e d fo r c alc ula tin g t h e c o n t a c t in t e r a c tio n c h a r a c t e ris tic s b e t w e e n a m ultila y e r pla t e a n d a f o u n d a tio n wit h a c o m ple x s t r u c t u r e in v a rio u s c a s e s o f t h e b o u n d a r y c o n ditio n s, a n d v a rio u s lo a d s a p plie d t o t h e pla t e.https://www.vestnik-donstu.ru/jour/article/view/304неоднородные материалымногослойная пластинафункционально - градиентное покрытиеосесимметричная задачааналитические методыприближённое аналитическое решение. |
| spellingShingle | Sergey Mikhaylovich Ayzikovich Sergey Sergeyevich Volkov Avetik Vardanovich Melkonyan AXISYMMETRIC BENDING OF CIRCULAR SANDWICH PLATE ON ELASTIC FOUNDATION WITH COMPLICATED STRUCTURE Advanced Engineering Research неоднородные материалы многослойная пластина функционально - градиентное покрытие осесимметричная задача аналитические методы приближённое аналитическое решение. |
| title | AXISYMMETRIC BENDING OF CIRCULAR SANDWICH PLATE ON ELASTIC FOUNDATION WITH COMPLICATED STRUCTURE |
| title_full | AXISYMMETRIC BENDING OF CIRCULAR SANDWICH PLATE ON ELASTIC FOUNDATION WITH COMPLICATED STRUCTURE |
| title_fullStr | AXISYMMETRIC BENDING OF CIRCULAR SANDWICH PLATE ON ELASTIC FOUNDATION WITH COMPLICATED STRUCTURE |
| title_full_unstemmed | AXISYMMETRIC BENDING OF CIRCULAR SANDWICH PLATE ON ELASTIC FOUNDATION WITH COMPLICATED STRUCTURE |
| title_short | AXISYMMETRIC BENDING OF CIRCULAR SANDWICH PLATE ON ELASTIC FOUNDATION WITH COMPLICATED STRUCTURE |
| title_sort | axisymmetric bending of circular sandwich plate on elastic foundation with complicated structure |
| topic | неоднородные материалы многослойная пластина функционально - градиентное покрытие осесимметричная задача аналитические методы приближённое аналитическое решение. |
| url | https://www.vestnik-donstu.ru/jour/article/view/304 |
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