Equations of vibration of a two-dimensionally layered plate strictly based on the decision of various boundary-value problems
In this paper, the theory of oscillation of laminated plates of building structures is developed, which is rigorously grounded in the formulation of various boundary value oscillation problems. When studying the oscillation of plates, the exact three - dimensional problem is replaced by a simpler,...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Academician Ye.A. Buketov Karaganda University
2017-09-01
|
| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
| Subjects: | |
| Online Access: | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/179 |
| _version_ | 1797372556112560128 |
|---|---|
| author | A.Zh. Seytmuratov B.M. Nurlanova N.K. Medeubaev |
| author_facet | A.Zh. Seytmuratov B.M. Nurlanova N.K. Medeubaev |
| author_sort | A.Zh. Seytmuratov |
| collection | DOAJ |
| description |
In this paper, the theory of oscillation of laminated plates of building structures is developed, which is rigorously grounded in the formulation of various boundary value oscillation problems. When studying the oscillation of plates, the exact three - dimensional problem is replaced by a simpler, two - dimensional problem for the points of the middle plane of the plate, which imposes restrictions on the external conditions. These limitations boil down to the fact that external forces can not be high - frequency. Since the general equations of plate oscillation, the resulting wound contain derivatives of any order in terms of coordinates x, y and time t, are structured and therefore not suitable for solving applied problems and performing engineering calculations. For this, it is necessary to formulate approximate boundary value oscillation problems.
|
| first_indexed | 2024-03-08T18:37:41Z |
| format | Article |
| id | doaj.art-01d51f8148d6489da76d4768d2822e78 |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-03-08T18:37:41Z |
| publishDate | 2017-09-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-01d51f8148d6489da76d4768d2822e782023-12-29T10:21:33ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112017-09-0187310.31489/2017m3/109-116Equations of vibration of a two-dimensionally layered plate strictly based on the decision of various boundary-value problemsA.Zh. SeytmuratovB.M. NurlanovaN.K. Medeubaev In this paper, the theory of oscillation of laminated plates of building structures is developed, which is rigorously grounded in the formulation of various boundary value oscillation problems. When studying the oscillation of plates, the exact three - dimensional problem is replaced by a simpler, two - dimensional problem for the points of the middle plane of the plate, which imposes restrictions on the external conditions. These limitations boil down to the fact that external forces can not be high - frequency. Since the general equations of plate oscillation, the resulting wound contain derivatives of any order in terms of coordinates x, y and time t, are structured and therefore not suitable for solving applied problems and performing engineering calculations. For this, it is necessary to formulate approximate boundary value oscillation problems. http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/179vibrationsa platea deformable mediuman elastic and viscoelastic medium |
| spellingShingle | A.Zh. Seytmuratov B.M. Nurlanova N.K. Medeubaev Equations of vibration of a two-dimensionally layered plate strictly based on the decision of various boundary-value problems Қарағанды университетінің хабаршысы. Математика сериясы vibrations a plate a deformable medium an elastic and viscoelastic medium |
| title | Equations of vibration of a two-dimensionally layered plate strictly based on the decision of various boundary-value problems |
| title_full | Equations of vibration of a two-dimensionally layered plate strictly based on the decision of various boundary-value problems |
| title_fullStr | Equations of vibration of a two-dimensionally layered plate strictly based on the decision of various boundary-value problems |
| title_full_unstemmed | Equations of vibration of a two-dimensionally layered plate strictly based on the decision of various boundary-value problems |
| title_short | Equations of vibration of a two-dimensionally layered plate strictly based on the decision of various boundary-value problems |
| title_sort | equations of vibration of a two dimensionally layered plate strictly based on the decision of various boundary value problems |
| topic | vibrations a plate a deformable medium an elastic and viscoelastic medium |
| url | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/179 |
| work_keys_str_mv | AT azhseytmuratov equationsofvibrationofatwodimensionallylayeredplatestrictlybasedonthedecisionofvariousboundaryvalueproblems AT bmnurlanova equationsofvibrationofatwodimensionallylayeredplatestrictlybasedonthedecisionofvariousboundaryvalueproblems AT nkmedeubaev equationsofvibrationofatwodimensionallylayeredplatestrictlybasedonthedecisionofvariousboundaryvalueproblems |