Консолдi үшбұрышты пластиналардың физикалық-механикалық күйi
DOI:
https://doi.org/10.26577/JMMCS.2023.v118.i2.07Кілттік сөздер:
Үшбұрышты тақта, сандық әдiс, тор әдiсi, иiлу, иiлу қатаңдығы, өзек ұқсастығы, редукция коэффициентiАннотация
Бұл жұмыста консолдi үшбұрышты тақтайшалардың бүйiр жиектерiнiң негiзге бiрдей көлбеу бүрыштарында қисаюы зерттелдi. Шекаралық шарттардың күрделiлiгiне байланысты пла- стинаның контурына жақсы сәйкес келетiн жан-жақты үшбұрыштардың торын қолдана оты- рып, ақырлы айырымдардың сандық әдiсi қолданылды. Пластинаның жоғарғы жағындағы өткiр бұрыш мәселесiн шешу үшiн қысқару коэффициентiн қолдана отырып, пластинаның контуры бойынша үшбұрышты операциямен есептеудiң ұқсас нәтижелерiмен айнымалы иiлу қатаңдығының консолдi өзектiң есептеу нәтижелерiн бiрiктiру әдiсi қолданылды. Үшбұры- шты бүйiр жиектерiнiң негiзге қарай пластиналардың әр түрлi бұрыштарында консольдiң ауытқуының нәтижелерi келтiрiлген. Бұл зерттеудiң теориялық ережелерi мен қолданбалы нәтижелерi ғылыми зерттеулерде де, инженерлiк жобалауда да қолданыла алады.
Библиографиялық сілтемелер
[1] Bosakov S.V., Skachek P.D. Static calculation of triangular plates with hinged sides. Mechanics. Research and innovation, 2017, No. 10, pp. 24 - 28.
[2] Akhmediev S.K., Zhakibekov M.E., Kurokhtina I.N. Nuguzhinov Zh.S. NNumerical study of the stress-strain state of structures such as thin triangular plates and plates of medium thickness. Structural mechanics and calculation of structures, 2015, No. 2 (259), pp. 28 - 33.
[3] Bosakov S.V., Skachek P.D. Application of the Ritz method in the calculations of triangular plates with different conditions of fastening to the action of a static load. Structural mechanics and calculation of structures, 2018, No. 5 (280), pp. 17 - 23.
[4] Korobko A.V., Kalashnikova N.G., Abashin E.G. Transverse bending and free vibrations of elastic isotropic plates in the form of isosceles triangles. Construction and reconstruction, 2021, No. 6, pp. 20 - 27. https://doi.org/10.33979/2073-7416- 2021-98-6-20-27
[5] Korobko A.V., Chernyaev A.A., Shlyakhov S.V. Application of the MICF method for calculating triangular and quadrangular plates using widely known geometric parameters. Construction and reconstruction, 2016, No. 4, pp. 19 - 28.
[6] Saliba H.T. Triangular elements and the superposition techniques in till free vibration analysis of plates. Mecanique industrielle et materiaux (11th Colloquium on Vibrations, Shocks and Noise), 1996, No. 49 (4), pp. 168 - 170.
[7] Korobko A.V. Calculation of triangular plates by interpolation method by the shape coefficient using affine
transformations. News of higher educational institutions. Aviation technology, 2003, No. 2, pp. 13 - 16.
[8] Korobko V.I., Savin S.Yu. Free vibrations of triangular orthotropic plates with homogeneous and combined boundary conditions. Construction and reconstruction, 2013, No. 2, pp. 33 - 40.
[9] Korobko V.I., Savin S.Yu., Boyarkina S.V. Bending of triangular orthotropic plates with homogeneous and combined boundary conditions. Construction and Reconstruction, 2012, No. 1, pp. 7 - 13.
[10] Muromsky A.S., Korobko A.V. Calculation of triangular plates using affine transformations. Proceedings of the 55th International scientific and technical conference of young scientists (doctoral students, postgraduates and students) "Actual problems of modern construction St. Petersburg, 2001.
[11] Vlasov V.I., Gorshkov A.B., Kovalev R.V., Lunev V.V. Thin triangular plate with a blunted vertex in a viscous hypersonic flow. 2009, No. 4, pp. 134 - 145.
[12] Grigorenko O.Y., Borisenko M.Y., Boichuk O.V. et al. Free vibrations of triangular plates with a hole*. Int Appl Mech., 2021, No. 57, pр. 534 - 542. https://doi.org/10.1007/s10778-021-01104-3.
[13] Dongze He, Tao Liu, Bin Qin, Qingshan Wang, Zhanyu Zhai, Dongyan Shi. In-plane modal studies of arbitrary laminated triangular plates with elastic boundary constraints by the Chebyshev-Ritz approach. Composite Structures, 2021. DOI: 10.1016/j.compstruct.2021.114138.
[14] Iman Dayyani, Masih Moore, Alireza Shahidi. Unilateral buckling of point-restrained triangular plates. Thin-Walled Structures, 2013, Vol. 66, pр 1 - 8.
[15] Cai D., Wang X., Zhou G. Static and free vibration analysis of thin arbitrary-shaped triangular plates under various boundary and internal supports, Thin-Walled Structures, 2021, Vol. 162, No. 107592.
[16] Varvak P.M., Varvak L.P. Method of grids in problems of calculation for building structures. Moscow, Stroyizdat, 1977, 154 p.
[17] Karamansky T.D. Numerical methods of structural mechanics. Moscow, Stroyizdat, 1980, 434 p.
[18] Akhmediev S.K. Analytical and numerical methods for calculating machine-building and transport constructions and structures (textbook). Karaganda, KarTU, 2016, 158 p.
[19] Akhmediev S.K. Calculations of triangular plates. Karaganda, KarTU, 2006, 86 p.
[20] Nuguzhinov Z.S., Akhmediyev S.K., Donenbayev B.S., Kurokhtin A.Yu., Khabidolda O. Comparative analysis of designing wall panels with hole based on one-dimensional and two-dimensional computer models. IOP Conf. Series: Materials Science and Engineering, 2018, 456 012082. DOI:10.1088/1757-899X/456/1/012082
[21] Kasimov A.T., Yessenbayeva G.A., Zholmagambetov S.R., Khabidolda O. Investigation of layered orthotropic structures based on one modified refined bending theory. Eurasian Physical Technical Journal, 2021, Vol.18, No. 4(38), pp. 37 - 44. DOI 10.31489/2021No4/37-44
[2] Akhmediev S.K., Zhakibekov M.E., Kurokhtina I.N. Nuguzhinov Zh.S. NNumerical study of the stress-strain state of structures such as thin triangular plates and plates of medium thickness. Structural mechanics and calculation of structures, 2015, No. 2 (259), pp. 28 - 33.
[3] Bosakov S.V., Skachek P.D. Application of the Ritz method in the calculations of triangular plates with different conditions of fastening to the action of a static load. Structural mechanics and calculation of structures, 2018, No. 5 (280), pp. 17 - 23.
[4] Korobko A.V., Kalashnikova N.G., Abashin E.G. Transverse bending and free vibrations of elastic isotropic plates in the form of isosceles triangles. Construction and reconstruction, 2021, No. 6, pp. 20 - 27. https://doi.org/10.33979/2073-7416- 2021-98-6-20-27
[5] Korobko A.V., Chernyaev A.A., Shlyakhov S.V. Application of the MICF method for calculating triangular and quadrangular plates using widely known geometric parameters. Construction and reconstruction, 2016, No. 4, pp. 19 - 28.
[6] Saliba H.T. Triangular elements and the superposition techniques in till free vibration analysis of plates. Mecanique industrielle et materiaux (11th Colloquium on Vibrations, Shocks and Noise), 1996, No. 49 (4), pp. 168 - 170.
[7] Korobko A.V. Calculation of triangular plates by interpolation method by the shape coefficient using affine
transformations. News of higher educational institutions. Aviation technology, 2003, No. 2, pp. 13 - 16.
[8] Korobko V.I., Savin S.Yu. Free vibrations of triangular orthotropic plates with homogeneous and combined boundary conditions. Construction and reconstruction, 2013, No. 2, pp. 33 - 40.
[9] Korobko V.I., Savin S.Yu., Boyarkina S.V. Bending of triangular orthotropic plates with homogeneous and combined boundary conditions. Construction and Reconstruction, 2012, No. 1, pp. 7 - 13.
[10] Muromsky A.S., Korobko A.V. Calculation of triangular plates using affine transformations. Proceedings of the 55th International scientific and technical conference of young scientists (doctoral students, postgraduates and students) "Actual problems of modern construction St. Petersburg, 2001.
[11] Vlasov V.I., Gorshkov A.B., Kovalev R.V., Lunev V.V. Thin triangular plate with a blunted vertex in a viscous hypersonic flow. 2009, No. 4, pp. 134 - 145.
[12] Grigorenko O.Y., Borisenko M.Y., Boichuk O.V. et al. Free vibrations of triangular plates with a hole*. Int Appl Mech., 2021, No. 57, pр. 534 - 542. https://doi.org/10.1007/s10778-021-01104-3.
[13] Dongze He, Tao Liu, Bin Qin, Qingshan Wang, Zhanyu Zhai, Dongyan Shi. In-plane modal studies of arbitrary laminated triangular plates with elastic boundary constraints by the Chebyshev-Ritz approach. Composite Structures, 2021. DOI: 10.1016/j.compstruct.2021.114138.
[14] Iman Dayyani, Masih Moore, Alireza Shahidi. Unilateral buckling of point-restrained triangular plates. Thin-Walled Structures, 2013, Vol. 66, pр 1 - 8.
[15] Cai D., Wang X., Zhou G. Static and free vibration analysis of thin arbitrary-shaped triangular plates under various boundary and internal supports, Thin-Walled Structures, 2021, Vol. 162, No. 107592.
[16] Varvak P.M., Varvak L.P. Method of grids in problems of calculation for building structures. Moscow, Stroyizdat, 1977, 154 p.
[17] Karamansky T.D. Numerical methods of structural mechanics. Moscow, Stroyizdat, 1980, 434 p.
[18] Akhmediev S.K. Analytical and numerical methods for calculating machine-building and transport constructions and structures (textbook). Karaganda, KarTU, 2016, 158 p.
[19] Akhmediev S.K. Calculations of triangular plates. Karaganda, KarTU, 2006, 86 p.
[20] Nuguzhinov Z.S., Akhmediyev S.K., Donenbayev B.S., Kurokhtin A.Yu., Khabidolda O. Comparative analysis of designing wall panels with hole based on one-dimensional and two-dimensional computer models. IOP Conf. Series: Materials Science and Engineering, 2018, 456 012082. DOI:10.1088/1757-899X/456/1/012082
[21] Kasimov A.T., Yessenbayeva G.A., Zholmagambetov S.R., Khabidolda O. Investigation of layered orthotropic structures based on one modified refined bending theory. Eurasian Physical Technical Journal, 2021, Vol.18, No. 4(38), pp. 37 - 44. DOI 10.31489/2021No4/37-44
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Как цитировать
Akhmediyev, S. K., Khabidolda, O., Vatin, N. I., Yessenbayeva, G. A., & Muratkhan, R. (2023). Консолдi үшбұрышты пластиналардың физикалық-механикалық күйi. Қазұу Хабаршысы. Математика, механика, информатика сериясы, 118(2), 64–73. https://doi.org/10.26577/JMMCS.2023.v118.i2.07
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