This paper discusses the Karhunen-Loeve Transform as a methode to investigate the behavior of highly nonlinear dynamical systems. First, the mathematical concept of the Karhunen-Loeve Transform is introduced in brief. Then, the results of the joint research project "Monitoring of Railway Vehicles" are discussed. Finally, recent analyzes of the dynamics of railway wheelset by means of Karhunen-Loeve Transform are presented.
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[Extended abstract] In the operation of offshore structures, dynamical problems can arise due to high amplitude motion. Nonlinearities in the kinematic coupling of hinged floating bodies or the mooring system cause different vibration phenomena such as bifurcations, coexisting attractors and even chaotical motion...
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