On the stability of a free-free beam under axial thrust subjected to directional control
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Cited by (42)
Dynamics analysis of slender vehicle influenced by random factors
2020, Journal of Fluids and StructuresCitation Excerpt :For the aeroelastic problem under the influence of thrust, the focus of the research was on structural stability. Wu (1975, 1976) regarded a slender vehicle as a free-free beam. The mechanism of slender vehicle instability under direction-controlled thrusts was studied by the finite element method, and the relationship between structural stability and elastic modes was analyzed.
Study on nonlinear vibration of simplified solid rocket motor model
2019, Aerospace Science and TechnologyCitation Excerpt :Through idealizing the flexible missile as a uniform free-free beam under the action of the end thrust, Beal [19] investigated the dynamic stability of the free-free beam subjected to constant and pulse following force and introduced the direction control mechanism following the force. Wu [20] applied the finite element discretization of the adjoint formula to study the stability of the free-free beam under control with the action of the force. Yang and Xi [21] conducted theoretical and experimental studies on any free-free beams of which the cross-sections along their span were impacted.
Reduction of the actuator oscillations in a free-free jointed bipartite beam model under a follower force
2012, Aerospace Science and TechnologyCitation Excerpt :When the control system was included, it was found that the critical follower force magnitude only corresponded to a reduction of the lowest frequency of zero. Wu [33] studied the stability of a free–free beam under a controlled follower force by using finite element discretization with an adjoint formulation. Park and Mote Jr. [27] studied the maximum controlled follower force on a free–free beam carrying a concentrated mass.
Structural stability of slender aerospace vehicles: Part II: Numerical simulations
2010, International Journal of Mechanical SciencesStructural stability of slender aerospace vehicles: Part I: Mathematical modeling
2010, International Journal of Mechanical SciencesCitation Excerpt :These instabilities are severe when the frequency of the thrust variation is in the vicinity of longitudinal natural frequencies. Wu [13,14] examined the stability of a free–free beam under axial thrust subjected to directional control using finite element approach. Propulsive thrust of a launch vehicle/missile is a follower force.
Dynamic stability of columns subjected to follower loads: a survey
2000, Journal of Sound and Vibration