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非线性热弹耦合圆板中的混沌带现象
CHAOTIC ZONE IN NON LINEAR THERMOELASTIC COUPLING CIRCULAR PLATES
【摘要】 分析了大挠度圆板在受迫周期激励下的混沌现象,在考虑几何非线性的同时,也计及温度效应的作用,利用Melnikov方法确定动力系统解出现马蹄时参数应满足的条件,研究发现当激励、阻尼及强迫频率之间满足确定关系时,系统将进入混沌状态
【Abstract】 The chaotic phenomena in large deflection circular plates subjected to periodic excitation are studied, considering both geometric nonlinearity ad temperature effect. The Melnikov method is used to determine the condition which should be satisfied when the horse shoes appear in the dynamic systems. The study shows that the systems will enter into chaos states when the external load, damping force and forced frequency satisfy some relations.
【基金】 国家自然科学基金,山西省自然科学基金
- 【文献出处】 固体力学学报 ,ACTA MECHANICA SOLIDA SINICA , 编辑部邮箱 ,1998年03期
- 【分类号】O347.42
- 【被引频次】8
- 【下载频次】81