We present a stability result for a class of non-trivial self-similarly vanishing solutions to a 3D Hele-Shaw moving boundary problem with surface tension and single-point suction. These solutions are domains that bifurcate from the trivial spherical solution. The moving domains have a geometric centre located at the suction point and they are axially symmetric. We show stability with respect t...

In this paper, the postbuckling problem and free linear nonlinear vibration surrounding configuration are accurately analyzed. The placement of translating beams that undergo significant overall buckling deformations in high-speed region, leading to strongly vibration, is studied. Using Galerkin method, we found partial differential equation reduced an ordinary with cubic quadratic terms, which...

Nonlinear parametric vibration of axially accelerating viscoelastic strings is investigated via an approximate analytical approach. The standard linear solid model using the material time derivative is employed to describe the string viscoelastic behaviors. A coordinate transformation is introduced to derive Mote’s model of transverse motion from the governing equation of the stationary string....