Non-linear dynamics of flexible curvilinear bernoulli-euler nano-beams in a stationary temperature field; ARPN Journal of Engineering and Applied Sciences; Vol. 11, № 9
| Parent link: | ARPN Journal of Engineering and Applied Sciences.— , 2006- Vol. 11, № 9.— 2016.— [P. 2079-2084] |
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| সংস্থা লেখক: | |
| অন্যান্য লেখক: | , , , , |
| সংক্ষিপ্ত: | Title screen In this study the mathematical model of non-linear dynamics of flexible curvilinear beams in a stationary temperature field is proposed. On a basis of the variation principles the PDEs governing nonlinear dynamics of curvilinear nano-beams are derived. The proposed mathematical model does not include any requirements for the temperature distribution along the beam thickness and it is defined via solution to the 2D Laplace equation for the corresponding boundary conditions. The governing PDEs are reduced to ODEs employing the finite difference method of a second order and then the counterpart Cauchy problem has been solved using the 4th order Runge-Kutta method. The convergence of reduction from PDEs to ODEs is validated by the Runge principle. In particular, it has been shown that the solutions obtained taking into account the material nano-structural features are more stable in comparison to the case where the micro-effects are neglected. © Medwell Journals, 2016. |
| ভাষা: | ইংরেজি |
| প্রকাশিত: |
2016
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| বিষয়গুলি: | |
| অনলাইন ব্যবহার করুন: | http://docsdrive.com/pdfs/medwelljournals/jeasci/2016/2079-2084.pdf |
| বিন্যাস: | বৈদ্যুতিক গ্রন্থের অধ্যায় |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=653640 |
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| 200 | 1 | |a Non-linear dynamics of flexible curvilinear bernoulli-euler nano-beams in a stationary temperature field |f J. Awrejcewicz [et al.] | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: р. 2083-2084 (28 tit.)] | ||
| 330 | |a In this study the mathematical model of non-linear dynamics of flexible curvilinear beams in a stationary temperature field is proposed. On a basis of the variation principles the PDEs governing nonlinear dynamics of curvilinear nano-beams are derived. The proposed mathematical model does not include any requirements for the temperature distribution along the beam thickness and it is defined via solution to the 2D Laplace equation for the corresponding boundary conditions. The governing PDEs are reduced to ODEs employing the finite difference method of a second order and then the counterpart Cauchy problem has been solved using the 4th order Runge-Kutta method. The convergence of reduction from PDEs to ODEs is validated by the Runge principle. In particular, it has been shown that the solutions obtained taking into account the material nano-structural features are more stable in comparison to the case where the micro-effects are neglected. © Medwell Journals, 2016. | ||
| 461 | |t ARPN Journal of Engineering and Applied Sciences |d 2006- | ||
| 463 | |t Vol. 11, № 9 |v [P. 2079-2084] |d 2016 | ||
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| 701 | 1 | |a Kutepov |b I. E. |g Igor | |
| 701 | 1 | |a Pavlov |b S. P. | |
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| 701 | 1 | |a Krysko |b A. V. |c specialist in the field of Informatics and computer engineering |c programmer Tomsk Polytechnic University, Professor, doctor of physico-mathematical Sciences |f 1967- |g Anton Vadimovich |3 (RuTPU)RU\TPU\pers\36883 | |
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