An alternative approach for modeling vibrations of fluid conveying pipes
Sprache des Vortragstitels:
Deutsch
Original Tagungtitel:
6th European Solid Mechanics Conference ESMC 2006
Sprache des Tagungstitel:
Englisch
Original Kurzfassung:
An alternative approach for modeling vibrations of fluid conveying pipes is presented. This approach applies the Lagrange equations in a form capable of treating non-material volumes with a flow of mass through the boundary. In order to derive equations of motion eligible for modeling large deformations of the pipe, the Bernoulli-Euler beam theory is formulated in the context of the Lagrangian description of continuum mechanics. Based on the additional assumption that the axis of the pipe is inextensible, a further reduction of the dimension of the system is obtained. The resulting nonlinear equations of motion are studied numerically using the time-integration code HOTINT in addition to a numerical stability analysis applying XPPAUT.
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