Abstract
Within the chapter on dynamics the transient behavior of the acting loads on the structure will be introduced additionally into the analysis. The procedure for the analysis of dynamic problems depends essentially on the character of the time course of the loads. At deterministic loads the vector of the external loads is a given function of the time. The major amount of problems in engineering, plant and vehicle construction can be analyzed under this assumption. In contrast to that, the coincidence is relevant in the case of stochastic loads. Such cases will not be regarded here. For deterministic loads a distinction is drawn between \(bullet \) periodic and non-periodic, \(bullet \)slow and fast changing load-time functions (relatively related to the dynamic eigenbehaviour of the structure). In the following chapter linear dynamic processes will be considered, which can be traced back to an external stimulation. The field of self-excited oscillation will not be covered.
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Notes
- 1.
With the eigenmodes the space dependent displacements are characterized. However, the absolute magnitude of any displacement cannot be determined. The reason is that the system (13.13) has always more unknowns than equations. For the illustration of eigenmodes one assigns a value for an arbitrary eigenmode and relates all other eigenmodes to that.
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Öchsner, A., Merkel, M. (2013). Dynamics. In: One-Dimensional Finite Elements. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31797-2_13
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DOI: https://doi.org/10.1007/978-3-642-31797-2_13
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