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The Ishlinskii-Lavrent'ev problem at the initial stage of motion

机译:运动初期的伊什林斯基-拉夫伦特夫问题

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摘要

The dynamic loss of stability of a thin rod with hinge-supported edges under the action of an impact constant longitudinal load at the initial stage of motion, which is restricted to the time of longitudinalwave run along the rod length, is investigated. The transverse deflection is expanded in the Fourier series. The problem is solved in the linear approximation. The additional deflection is compared with the value of the initial disturbances.
机译:研究了在运动初期,在冲击恒定的纵向载荷作用下,具有铰链支撑边缘的细杆的动态稳定性损失,该损失受沿杆长度的纵波传播时间的限制。横向挠度以傅立叶级数扩展。该问题通过线性逼近得以解决。将附加偏转与初始扰动值进行比较。

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