from 01.01.2000 to 01.01.2022
Sankt-Peterburg, Russian Federation
Russian Federation
Russian Federation
Objective: to calculate and analyze sectional stresses and internal forces in the simplest statically indeterminate rods under cyclic temperature changes. Methods: two confi of rod comprising the basic system employed in the displacement method were considered. The fi confi featured one rigidly fi end and a hinged, movable support at the opposite end; its direct analogue was a rod with a longitudinally sliding fastening at one end and a fi hinge at the other. The second confi involved a rigid fi end combined with a sliding fastening at the opposite end. Both confi were investigated under a non-zero temperature change cycle. In addition to stresses, the study determined the peak internal forces – particularly bending moments – an outcome not observed for a statically determined rod. Results: the magnitudes of the maximum stresses and maximum moments converge to steady-state values as cycle time increases and the rod section height decreases. Maximum compressive stresses under cyclic thermal loading substantially exceed their steady-temperature values, reaching up to 35 % above them. Practical signifi the derived approximation functions for moment stresses can be employed in subsequent calculations of core systems. For improved accuracy, the obtained tabulated function values and linear interpolation between them should be used.
rod, forces, stresses, temperature, cycle, statics, experiment
1. Shul'gin A. A. Issledovanie napryazhennogo sostoyaniya uprugogo sterzhnya pri ciklicheskih teplovyh vozdeystviyah // Nauka i innovacii v tehnicheskih universitetah: materialy Trinadcatogo Vserossiyskogo foruma studentov, aspirantov i molodyh uchenyh. SPb., 2019. S. 27–28.
2. Pegin P.A., Shulgin A.A. Modern methods for calculating transport infrastructure objects for progressive collapse // BRISS transport. 2023. Vol. 2, iss. 3. P. 6.
3. Shul'gin A. A. O nekotoryh osobennostyah napryazhennogo sostoyaniya uprugogo sterzhnya pri ciklicheskom teplovom vozdeystvii // Sovremennoe stroitel'stvo: sbornik statey magistrantov i aspirantov. SPb.: SPbGASU, 2019. T. 1, vyp. 2. S. 334
4. Maslov G. N. Elementarnye staticheskie raschety sooruzheniy na temperaturnye izmeneniya // Izv. NII Gidrotehniki. 1940. № 26. S. 131–176.
5. Pleskachevskiy Yu. M., Starovoytov E. I., Leonenko D. V. Mehanika trehsloynyh sterzhney i plastin, svyazannyh s uprugim osnovaniem. M.: Fizmatlit, 2011. 560 s.
6. Soprotivlenie materialov s osnovami teorii uprugosti i plastichnosti / G. S. Vardanyan [i dr.]. M.: Infra-M, 2010.
7. Pegin P.A., Pavlovets A. V. Analysis of the adhesion strength of the a550 reinforcement to concrete V25, V30 and V40 // E3S Web of Conferences. 2024. T. 549. P. 01013.
8. Stepin P. A. Soprotivlenie materialov: ucheb. 12-e izd., ster. SPb.: Lan', 2012. 360 s.
9. Kolesnikova S. I. Metody resheniya osnovnyh zadach uravneniy matematicheskoy fiziki: ucheb. posobie. M.: MFTI, 2015. 80 s.
10. Il'yushin A. A. Plastichnost'. Ch. 1. Uprugoplasticheskie deformacii. M.: Gostehizdat, 1948. 376 s.
11. Lavrov S. S. Approksimaciya funkciy mnogih peremennyh s ispol'zovaniem metoda naimen'shih kvadratov // Vychislitel'naya matematika i matematicheskaya fizika. 1964. T. 4, vyp. 3. S. 547–550.
12. Moskvitin V. V. Ciklicheskoe nagruzhenie elementov konstrukciy. M.: Nauka, 1981. 344 s.
13. Eliseev V. N., Tovstonog V. A., Borovk va T. V. Algoritm resheniya obobschennoy zadachi nestacionarnoy teploprovodnosti v telah prostoy geometricheskoy formy // Vestnik Moskovskogo gosudarstvennogo tehnicheskogo universiteta im. N. E. Baumana. Seriya: Mashinostroenie. 2017. № 1 (112). S. 112–128.
14. Pavlov P. A. Osnovy inzhenernyh raschetov elementov mashin na ustalostnuyu i dlitel'nuyu prochnost'. L.: Mashinostroenie, 1988. 250 s.
15. Klimenko E. S. Ustoychivost' szhatyh neodnorodnyh sterzhney s uchetom fizicheskoy nelineynosti materiala: diss. … kand. tehn. nauk. Rostov n/D., 2011. 112 s.
16. Kozel'skaya M. Yu., Chepurnenko A. S., Yazyev S. B. Raschet na ustoychivost' szhatyh polimernyh sterzhney s uchetom fizicheskoy nelineynosti metodom konechnyh elementov // Naukovedenie. 2013. Vyp. 3.
