Analytic mechanics is a mathematical science, but it is of high importance for engineers as it provides analytic solutions to fundamental problems of engineering mechanics. At the same time, it establishes generally applicable procedures. Mathematical physics texts, such as [9], laid the foundation for these analytic approaches addressing physical problems.
This chapter presents modeling applications for classical mechanical problems of elasticity utilizing Hamilton’s principle. The most fitting application is the excitation of an elastic system by displacing it from its equilibrium position. In this case, the system will vibrate with a frequency characteristic to its geometry and material, while constantly exchanging ...
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