The comparative analysis of the fully nonlinear, the linear elastic and the consistently linearized equations of motion of the 2D elastic pendulum
Copyright policy )The comparative analysis of the fully nonlinear, the linear elastic and the consistently linearized equations of motion of the 2D elastic pendulum
The floating frame of reference approach is used for the analysis of the in-plane oscillations of the suspended rectangular plate. The deformation is interpolated by means of polynomial shape functions. The equations of motion become nonlinear in the deformation degrees of freedom both due to the geometrically nonlinear deformation model and to the inertial coupling between the rotation and the deformation of the body. Consistent linearization with respect to the deformation degrees of freedom simplifies the equations significantly and speeds up the time integration. A convergence study with respect to the maximum interpolation order is performed. The comparative analysis of different problem statements and their ranges of applicability is presented in the paper.
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).5 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!