Construction of a Solution of the Problem of Stability of a Bar with Arbitrary Continuous Parameters
We consider the problem of stability of a bar with arbitrary continuous variable flexural stiffness compressed by an arbitrary continuously applied variable axial longitudinal force. For the first time, we construct the exact solution of the corresponding differential equation of longitudinal bendin...
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| Veröffentlicht in: | Journal of mathematical sciences (New York, N.Y.) N.Y.), 2018-06, Vol.231 (5), p.665-677 |
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| container_end_page | 677 |
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| container_issue | 5 |
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| container_title | Journal of mathematical sciences (New York, N.Y.) |
| container_volume | 231 |
| creator | Krutii, Yu. S. |
| description | We consider the problem of stability of a bar with arbitrary continuous variable flexural stiffness compressed by an arbitrary continuously applied variable axial longitudinal force. For the first time, we construct the exact solution of the corresponding differential equation of longitudinal bending. As a result, we obtain the formulas for displacements and internal forces in any cross section of the bar in the analytic form. |
| doi_str_mv | 10.1007/s10958-018-3843-8 |
| format | Article |
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S.</creatorcontrib><title>Construction of a Solution of the Problem of Stability of a Bar with Arbitrary Continuous Parameters</title><title>Journal of mathematical sciences (New York, N.Y.)</title><addtitle>J Math Sci</addtitle><description>We consider the problem of stability of a bar with arbitrary continuous variable flexural stiffness compressed by an arbitrary continuously applied variable axial longitudinal force. For the first time, we construct the exact solution of the corresponding differential equation of longitudinal bending. 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| ispartof | Journal of mathematical sciences (New York, N.Y.), 2018-06, Vol.231 (5), p.665-677 |
| issn | 1072-3374 1573-8795 |
| language | eng |
| recordid | cdi_osti_scitechconnect_22771141 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | ANALYTIC FUNCTIONS BENDING Continuity (mathematics) DIFFERENTIAL EQUATIONS EXACT SOLUTIONS Heavy construction Mathematical analysis MATHEMATICAL METHODS AND COMPUTING Mathematics Mathematics and Statistics Power lines Stability Stiffness |
| title | Construction of a Solution of the Problem of Stability of a Bar with Arbitrary Continuous Parameters |
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