Memoirs of the Faculty of Engineering, Yamaguchi University
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Memoirs of the Faculty of Engineering, Yamaguchi University Volume 35 Issue 1
published_at 1984
Analysis of Dynamic Elastic Stability of Flexible Beams under Travelling Horizontal Follower Load Systems
連行した水平横従動荷重を受ける梁の動的弾性安定解析 : 初期応力を考慮した場合
Aida Tadayoshi
Nakayama Takaaki
Hosogi Yasuo
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Descriptions
Dynamic stability of flexible beam under travelling horizontal follower load systems is investigated by applying the fundamental equation, governing the dynamic elastic stability, which is derived by using the linearized finite displacement theory. It is shown that the fundamental equation of the flexible beam under the above travelling load systems becomes Hill's equation and parametrically excited unstable coupled vibration occurs. Furthermore, the boundary frequency equations of simple parametric resonance are obtained by Bolotin's method and the stability maps of a simply supported beam are shown, as influenced by load mass and damping. Lastly, the behaviors of vibration of the beam in the vicinity of boundary of a main untable region are examined by numerical integration.
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