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球面薄壳在径向朝外脉冲作用下反直观动力响应研究

Keywords: 固体力学,反直观动力响应,数值分析,矩形脉冲,球面薄壳

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Abstract:

采用数值模拟方法,研究球面薄壳在外径方向脉冲荷载作用下的反直观响应.在分析位移时程曲线、变形模式、能量关系等特点与发生敏感性的基础上,对发生反直观响应的机理进行了分析.研究表明:球壳在向外径向脉冲荷载作用下,只有脉冲荷载落到一定值域(荷载窄槽)时,才能发生反直观响应;在几个荷载窄槽内,当荷载强度较小时要经过几次反弹后才能发生反直观响应,当荷载强度较大时不反弹就会发生反直观响应;只有经过适度的塑性功耗散并同时具有足够大弹性恢复力使其反向大幅振动时才会发生反直观响应;球壳在向外冲击荷载作用下,向上运动到极限位置后反弹运动时,球壳经向主要受压力作用,当该压力为适当值时会使球壳从凸向跳到凹向,引发反直观响应;球壳的反直观行为具有动力失稳的基本特征.

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