Детальная информация
| Название | Contact interaction of multilayer slabs with an inhomogeneous base // Magazine of Civil Engineering. – 2022. – № 7 (115). — С. 11504 |
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| Авторы | Mirsaidov M. M. ; Mamasoliev K. |
| Выходные сведения | 2022 |
| Коллекция | Общая коллекция |
| Тематика | Техника ; Сопротивление материалов ; multilayer plates ; plates with an inhomogeneous base ; contact interaction ; ultraspheric polynomials ; integro-differential equations ; mathematical modeling ; многослойные плиты ; плиты с неоднородным основанием ; контактное взаимодействие ; ультрасферные полиномы ; интегро-дифференциальные уравнения ; математическое моделирование |
| УДК | 539.3/6 |
| ББК | 30.121 |
| Тип документа | Статья, доклад |
| Язык | Английский |
| DOI | 10.34910/MCE.115.4 |
| Права доступа | Свободный доступ из сети Интернет (чтение, печать, копирование) |
| Ключ записи | RU\SPSTU\edoc\70438 |
| Дата создания записи | 17.04.2023 |
The article is devoted to the development of mathematical models and new methods for solving contact problems of multilayer elements of structures with an inhomogeneous base, considering their mechanical, structural features, and to the assessment of their internal force factors. A mathematical model was developed and an analytical method was proposed for assessing the internal force factors in multilayer strip slabs on an inhomogeneous base under various loads. The solution of the problems under consideration is based on a series expansion of the reactive pressure of an inhomogeneous base in terms of orthogonal ultra-spherical Gegenbauer polynomials; the solution is reduced to the study of infinite systems of algebraic equations. Their regularity was proved and the corresponding estimates were obtained. The required number of terms of the polynomial in the expansion was established. The analysis of the results obtained made it possible to evaluate the influence of the rigidity characteristics of the filler and the inhomogeneity of the base on the distribution of internal force factors in the slabs.
| Место доступа | Группа пользователей | Действие |
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| Локальная сеть ИБК СПбПУ | Все |
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| Интернет | Все |
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- Contact interaction of multilayer slabs with an inhomogeneous base
- 1. Introduction
- 2. Methods
- 2.1. Mathematical models of the problem
- 2.2. Solution method
- 3. Results and Discussion
- 3.1. Problem
- 3.2. Problem
- 3.3. Substantiation of the solution method
- 3.4. Problem
- 4. Conclusion
