Construction of a Solution of the Problem of Stability of a Bar with Arbitrary Continuous Parameters

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
1. Verfasser: Krutii, Yu. S.
Format: Artikel
Sprache:eng
Schlagworte:
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
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Zusammenfassung: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-018-3843-8