№ 1 (19) – 2023

 

APPLICATION OF THE BOUNDARY ELEMENT METHOD FOR CALCULATING STRESS-STRAIN STATE DURING TORSION OF THIN-WALLED VEHICLE FRAMES

 
https://doi.org/10.37129/2313-7509.2023.19.140-152
 
завантаження V. Orobej, Doctor of Technical Sciences, Professor

 
завантаження O. Kovra 
завантаження

S. Chaban, Candidate of Technical Sciences, Associate Professor
завантаження

D. Purich, Candidate of Technical Sciences, Associate Professor
завантаження

N. Artsybasheva, Candidate of Technical Sciences, Associate Professor
 
 

Cite in the List of bibliographic references (DSTU 8302:2015)
Оробей В. Ф., Ковра О. В., Чабан С. Г., Пуріч Д. О., Арцибашева Н. М. Застосування методу граничних елементів для розрахунку напружено-деформованого стану при крученні тонкостінних рам автомобілів. Збірник наукових праць Військової академії (м. Одеса). 2023. № 1 (19). С. 140-152. https://doi.org/10.37129/2313-7509.2023.19.140-152
 

Abstract
Currently, the main method of calculating the stress-strain state (SSS) is the finite element method (FEM), implemented in software packages such as ANSYS, Solid Works, MATLAB, and others. It is established that if the SSS structure is described by rod functions, then the finite element method gives accurate results. If the state of the object is described by other functions, then MSE can give only approximate results of SSS calculation. Therefore, in this work, the authors applied a more accurate method of calculating the SSS of thin-walled car frames – the numerical analytical method of boundary elements (NA BEM).
The purpose of the study is to apply a more accurate method of calculating the SSS of thin-walled car frames with the help of BEM.
The scientific and practical direction of the work is that the technology of a more accurate method of calculating the SSS of thin-walled car frames - NA BEM is applied.
The research methodology is the construction of mathematical models for the calculation of thin-walled car frames – NA BEM.
When designing thin-walled metal structures, SSS is described by hyperbolic functions, and FEM, in principle, cannot provide accurate results for calculating SSS of thin-walled structures. Therefore, in the work, it is proposed to apply the technology of the boundary element method, which is free from the shortcomings of FEM technologies, to calculate SSS torsion of thin-walled car frames.
The paper presents the matrix functions of the solution of the differential equations of the finite torsion of thin-walled frames, which were used to calculate the SSS of the rod torsion of thin-walled car frames. A more accurate SSS calculation of thin-walled car frames has been performed. This, in turn, will make it possible to determine the exact dimensions of the cross-section of thin-walled car frames.
The result of the conducted research is the construction of accurate models of the stress-strain state during torsion of thin-walled car frames. Systems of linear equations of the SSS calculation algebra of limited torsion of two inseparable beams, which are models of car frames, are given. The calculation of frames for compressed torsion is presented.

Keywords
FEM, BEM, thin-walled car frames
 
 
 

List of bibliographic references
  1. Оробей В. Ф.,Сурьянинов Н. Г., Лимаренко А. М Расчёт стержневых конструкций методом граничных и конечных элементов. Холодильна техніка і технологія. Одеса, 2005. № 2 (94). С. 89–92.
  2. Сурьянинов Н. Г., Лимаренко А. М. Анализ НДС тонкостенного стержневого открытого профиля в программе ANSYS. Вісник Одеської державної академії будівництва та архітектури. Одеса, 2005. Вип. 17. С. 195–200.
  3. Сурьянинов Н. Г., Лимаренко А. М. Крутильные колебания конструкций из тонкостенных стержней. Вісник Одеського морського університету. Одеса, 2007. Вип. 21. С. 40–47.
  4. Сурьянинов Н. Г., Лимаренко А. М. Собственные крутильные колебания тонкостенных стержней. Труды Одесского политехнического университета. Одесса, 2007, Вып. 1 (27). С. 19–23.
  5. Немчук А. О., Лимаренко А .М. Применение численных методов к расчету элементов судовых конструкций. Вісник Одеського морського університету. Одеса, 2009. Вип. 26. С. 85–90.
  6. Власов В. З. Избранные труды. Москва : Изд АН СССР, Т. 2,3 – 1963, 1964.
  7. Бычков Д. В. Строительная механика стержневых тонкостенных конструкцій. Москва : Строй издат, 1952. 457 с.
  8. Карякин Н. П. Основы расчета тонкостенных конструкцій. Москва : Высшая школа, 1960. 239 с.
  9. Масленников А. М. Расчет строительных конструкций численными методами. Ленинград : изд-во Ленингр. ун-та, 1987. 225 с.
 
 
 

References
 
  1. Orobej, V. F., Suryaninov, N. G., & Limarenko, A. M. (2005). Calculation of bar structures by the method of boundary and finite elements. Refrigeration equipment and technology, 2 (94), 89–92. [in Russian].
  2. Suryaninov, N. G., & Limarenko, A. M. (2005). SSS analysis of an open profile of a thin-walled bar in the ANSYS program. Bulletin of the Odesa State Academy of Construction and Architecture, 17, 195–200. [in Russian].
  3. Suryaninov, N. G., & Limarenko, A. M. (2007). Torsional vibrations of structures made of thin-walled rods. Bulletin of Odesa Maritime University,. 21, 40–47. [in Russian].
  4. Suryaninov, N. G., & Limarenko, A. M. (2007). Natural torsional vibrations of thin-walled rods. Proceedings of the Odessa Polytechnic University, 1 (27), 19–23. [in Russian].
  5. Nemchuk, A. O., Limarenko, A. M. (2009). Application of numerical methods to the calculation of elements of ship structures. Bulletin of Odessa Maritime University, 26, 85–90. [in Russian].
  6. Vlasov, V. Z. (1963. 1964). Selected writings. Yzd AN SSSR Publ. [in Russian].
  7. Bychkov, D. V. (1952). Structural mechanics of bar thin-walled structures. Construction Publishing House. [[in Russian].
  8. Karyakin, N. P. (1960). Fundamentals of calculation of thin-walled structures. Higher School Publ. [in Russian].
  9. Maslennikov, A. M. (1987). Calculation of building structures by numerical methods. Leningrad University Press Publ. [in Russian].
Copyright 2014 19.140-152 (eng) А. Розроблено ІОЦ ВА
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