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Solutions of vibration problems for thin infinite plates subjected to harmonic loads

Klanner M., Ellermann K.

Journal of Theoretical and Applied Mechanics

2017

Vol. 55 nr 3

949—961

New closed form solutions for harmonic vibrations of infinite Kirchhoff plates subjected to a constant harmonic ring load, a constant harmonic circular load and an alternating harmonic circular load are derived. Two different approaches are used to define the closed form solutions. The first approach uses the integration of the harmonic point force and the addition theorem for Bessel functions, while the second approach applies the Hankel transform to solve the inhomogeneous partial differential equation of the Kirchhoff plate theory. The new closed form particular solutions can especially be used in Trefftz like methods and extend their field of application.

Nonlinear Dynamics of Floating Cranes

Ellermann K., Kreuzer E., Markiewicz M.

Machine Dynamics Problems

2001

Vol. 25, No. 3/4

65-67

[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...

Analysis of nonlinear systems in offshore engineering

Ellermann K., Kreuzer E.

Vibrations in Physical Systems

2000

Vol. 19

18--19