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Erschienen in:
2018 | OriginalPaper | Buchkapitel
25. One-Dimensional Continuous Systems
verfasst von : Antonio Romano, Addolorata Marasco
Erschienen in: Classical Mechanics with Mathematica®
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Abstract
In this chapter, a brief introduction to one-dimensional continuous systems is presented. First, the balance equations relative to these systems are formulated: the mass conservation and the balance of momentum and angular momentum. Then, these equations are applied to describe the behavior of Euler’s beam. Further, the simplified model of wires is introduced to describe the suspension bridge and catenary. Finally, the equation of vibrating strings is derived and the corresponding Sturm–Liouville problem is analyzed. In particular, the homogeneous string is studied by D’Alembert solution.