THE ROLE OF TENSOR ANALYSIS IN ARCHITECTURE AND CONSTRUCTION: SYSTEMS AND STRUCTURAL ANALYSIS
Keywords:
Keywords: One-dimensional space; matrices; force; simulation; visualization; mechanical stress; deformation.Abstract
Annotation: Tensor analysis holds significant importance in architecture and construction. As multi-dimensional mathematical objects, tensors play a crucial role in structural and dynamic analysis processes. This article discusses the methods of implementation and the supporting tools related to these analytical systems, as well as the innovative development of tensor analysis facilitated by modern technologies and new materials. These analytical methods assist in achieving stability, energy efficiency, and environmental impacts within architectural and construction processes. The article presents new ideas for scientific research and practical applications in architecture and engineering.
References
1. Zienkiewicz, O. C., & Taylor, R. L. (2000). "The Finite Element Method: Its Basis and Fundamentals". Butterworth-Heinemann
2. C. P. Tsai, C. W. (2004). "Structural Analysis and Design". Taylor & Francis
3. Timoshenko, S. P., & Gere, J. M. (2009). "Theory of Elasticity". McGraw-Hill
4. Safarmatov, U. S., & Abdullayev, B. I. (2024). Zamonaviy materiallarning issiqlik va elektr o‘tkazuvchanligini ishlab chiqarishdagi imkoniyatlari va ahamiyati. ConfrenceA. Retrieved from https://confrencea.one/index.php/25-27/article/view/35/24
5. Nasirov, T. Z., & Safarmatov, U. S. (2020). Структура открытого виртуального экрана. Наука и практика, 39–41. Retrieved from https://naukaip.ru/wp-content/uploads/2020/03/MK-754.pdf#page=39
6. Safarmatov, U. S., & Eshboyev, I. I. (2024). Three-body problem: Mathematical approach to signal transmission between Earth and Moon via artificial satellite. Journal of Modern Engineering Applications, 202–208. Retrieved from https://scopusacademia.org/index.php/jmea/article/view/1081/1075
7. Irkinov. M.B (2024) Texnika Oliy Ta’lim Muassasalarida Fizika Fanini O‘qitishda Elektron Ta’lim Resurslaridan Foydalanishning Afzalliklari Va Kamchiliklari. https://doi.org/10.5281/zenodo.13927585
8. KuchkharovShahjahan Hazrat ugli (2023) FACTORS OF ORGANIZING PHYSICAL PRACTICUM BASED ON NONTRADITIONAL TECHNOLOGIES. African Journal of Biological Sciences. https://doi.org/