Abstract：A deploying cantilever beam system has rigid body motion and large deformation motion, so its vibration problem is time-varying and rigid-flexible coupled nonlinear dynamic one.Here, the absolute node coordinates formulation (ANCF) proposed by Shabana was adopted to establish a length-varying Euler-Bernoulli beam element model.Starting from the accurate curvature under the condition of large deformation and Green-Lagrangian normal strain, based on the virtual work principle considering inertia force, nonlinear dynamic equations of a beam element, and those of a deploying cantilever beam system after element-assembling were derived.Finally, the effects of material characteristic parameters including elastic modulus and mass density and deploying laws including constant speed deploying and constant acceleration one on nonlinear deflection response at free end of the deploying cantilever beam system were analyzed through numerical examples.
收稿日期: 2017-08-10
出版日期: 2019-01-28
引用本文:
王忠民，吴力国. 基于变长度单元ANCF的轴向伸展悬臂梁振动分析[J]. 振动与冲击, 2019, 38(3): 186-191.
WANG Zhongmin,WU Liguo. Vibration analysis of axially deploying cantilever beam based on ANCF with length-varying beam element. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(3): 186-191.
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