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.
The counter-intuitive behaviors of pin-ended thin spherical shell subjected to short rectangle impulse loadings are investigated with ANSYS/LS-DYNA. On the basis of the study of their displacement-time history curves, final deformed shapes, energy relationships and sensitive characteristic of its occurrence, the occurrence mechanism of the counter-intuitive behaviors is discussed. The results show that the counter-intuitive behaviors of thin spherical shell is similar to those of the thin circular plate, while their final deformed shapes are more complicated than that of the thin circular plate' s. Their counter-intuitive behaviors occur only when the applied load amplitudes lie in several narrow and proper load ranges; Corresponding to the occurring of the counter- intuitive behaviors, the number of the rebounding of the shells' deformation decreases from a few times to zero with the increase of the load amplitude, and the occurrence of their counter-intuitive behaviors have sensitive characteristic to the micro change of the load. When the counter-intuitive behaviors occur, the ratio of the strain energy and the kinetic energy reach a proper range; the counter-intuitive behaviors of the spherical shell have the similar characteristic to its dynamic buckling.