A Concentrated Mass on the Spinning Unconstrained Beam Subjected to a Thrust

A New Approach to Aeroelastic Response, Stability and Loads of Missiles and Projectiles

“…However, in case of flexible beam model, the stability region may vary due to the effects of elastic modes. Yoon and Kim (2002) analyzed the dynamic stability of a spinning beam subjected to a pulsating thrust. They concluded that the critical load of a free-free beam under constant thrust was not affected by spinning motion, but as the spinning speed was increased, the instability regions were reduced.…”

Dynamic instability of castellated beams subjected to transverse periodic loading

“…They used the classical principle of minimum potential energy, in which the kinetic energy and strain energy of the beam and the loss of the potential energy of the applied load are evaluated by assuming instability modes. The influence of different supporting boundary conditions on the dynamic instability behaviour of beams has been also studied by Uang and Fan (2001); Yoon and Kim (2002). More recently, Zhu et al (2018) presented a study on the dynamic buckling of cold-formed steel channel section beams under the action of uniformly distributed loading.…”

Dynamic instability of channel-section beams under periodic loading

“…Kar and Sujata [28] investigated the dynamic instability of rotating beams with various different boundary conditions, subjected to a pulsating axial excitation, and examined the effects of the boundary conditions and rotational speed on the static buckling loads and the regions of parametric instability. Yoon and Kim [29] analysed the dynamic instability problem of a spinning unconstrained beam with a concentrated mass arbitrarily located on the beam, subjected to a combined static and harmonic load, by using the finite element method. Their results showed that the concentrated mass increased the dynamic stability of the spinning unconstrained beam subjected to a thrust.…”