Load transmission from the endless stringer to one and two pre-stressed stripes https://doi.org/10.33108/visnyk_tntu2019.01.137
Article Sidebar
Main Article Content
Abstract
The article is devoted to the research of problems of contact interaction of infinite elastic stringer with one and two identical clamped along one edge of pre-stressed strips. In general, the research was
carried out for the theory of great initial and different variants of the theory of small initial deformations within the framework of linearized theory of elasticity with the elastic potential having arbitrary structure. The integral
integer-differential equations are obtained using the integral Fourier transform. Their solution is represented in the form of quasiregular infinite systems of algebraic equations. In the article alsaw was investigated the influence
of the initial (residual) stresses in strips on the law of distribution of contact stresses along the line of contact with an infinite stringer
Article Details
Issue
Section
This work is licensed under a Creative Commons Attribution 4.0 International License.
References
1. Guz' A. N., Babich S. Ju., Rudnickij V. B. Kontaktnoe vzaimodejstvie uprugih tel s nachal'nymi (ostatochnymi) naprjazhenijami. Razvitie idej L. A. Galina v mehanike. Moskva, Izhevsk, Institut komp'juternyh issledovanij, 2013. 480 pp. [Іn Russian].
2. Guz' A. N., Rudnickij V. B. Osnovy teorii kontaktnogo vzaimodejstvija uprugih tel s nachal'nymi (ostatochnymi) naprjazhenijami. Hmel'nic'kij, vyd. PP Mel'nik, 2006. 710 pp. [Іn Russian].
3. Aleksandrov V. M., Arutyunyan N. Kh. Contact problems for prestressed deformable bodies. Prikl. Mekh. Vol. 20. No. 3. 1984. Рp. 9–16. [Іn Russian]. https://doi.org/10.1007/BF00883134
4. Dihtjaruk N. N. O ravnovesii polosy s nachal'nymi naprjazhenijami, usilennoj uprugimi nakladkami. Prikl. mehanika. Vol. 40, No. 3, 2004, pp. 63–70. [Іn Russian].
5. Dikhtyaruk M. M. Peredacha navantazhennya vid neskinchennoho strynhera do dvokh zatysnenykh po odnomu krayu odnakovykh smuh z pochatkovymy (zalyshkovymy) napruzhennyamy. Visnyk TNTU.Vol. 83. No. 3. 2016. Рp. 51−60. [Іn Ukrainian].
6. Rudnickij V. B., Dihtjaruk N. N. Uprugaja polosa s nachal'nymi naprjazhenijami, usilennaja uprugimi nakladkami. Prikl. mehanika. Vol. 38. No. 11. 2002. Рp. 81–88. [Іn Russian].
7. Rudnickij V. B., Dihtjaruk N. N. Kontaktnaja zadacha o vzaimodejstvii bezkonechnogo stringera i dvuh odinakovyh polos s nachal'nymi naprjazhenijami. Prikl. mehanika, Vol. 53. No. 2. 2017. Рp. 41–48. [Іn Russian].
8. Dikhtyaruk, N. N. Equilibrium of a prestressed strip reinforced with elastic plates. International Applied Mechanics. Vol. 40. No 3. 2004. Рp. 290–296. https://doi.org/10.1023/B:INAM.0000031911.92942.ad.
9. Rudnitskii V. B., Dikhtyaruk N. N. A prestressed elastic strip with elastic reinforcements. International Applied Mechanics. Vol. 38. No. 11. 2002. Рp. 1354–1360. https://doi.org/10.1023/A:1022697202666
10.Rudnitskii V. B., Dikhtyaruk N. N. Interaction Between an Infinite Stringer and Two Identical Prestressed Strips: Contact Problem. International Applied Mechanics. Vol. 53. No 2. 2017. Рp. 149–155. https://doi.org/10.1007/s10778-017-0800-z
11. Yaretskaya N. A. Three-Dimensional Contact Problem for an Elastic Layer and a Cylindrical Punch with Prestresses. International Applied Mechanics. Vol. 50. No. 4. 2014. Рp. 378–388. https://doi.org/10.1007/s10778-014-0641-y
12. Yaretskaya N. F. Contact Problem for the Rigid Ring Stamp and the Half-Space with Initial (Residual) Stresses. International Applied Mechanics. Vol. 54. No. 5. 2018. Рp. 539–543. https://doi.org/10.1007/s10778-018-0906-y
13. Shelestovskyi B. H. Habrusieva I. Yu. Kontaktna vzaiemodiia kiltsevoho shtampa iz poperedno napruzhenym izotropnym sharom. Matematychni metody ta fizyko-mekhanichni polia. Vol. 54. No. 3.2011. Рр. 138–146. [Іn Ukrainian].
14. Melan E. Ein Beitrag zur Theorie geschweiss der Verbindungen. Ingenieur Archiv. Vol. 3. No. 2. 1932 Рp. 126–128. https://doi.org/10.1007/BF02079955
15.Rudnytskyi V. B., Iaretska N. O., Venher V. O. Zastosuvannia IT tekhnolohii v mekhanitsi deformovanoho tverdoho tila. Problemy trybolohii, Khmelnytskyi: KhNU. Tom 84. No. 2. 2017. Рp. 32−40. [Іn Ukrainian].