均匀受压粘弹性圆环稳定性分析

Stability analysis of a viscoelastic ring subjected to uniform pressure

采用Boltzmann线粘弹性元件本构理论,运用假设模态法、Galerkin方法及数值计算相结合的方法,建立了均匀受压粘弹性圆环的屈曲模型,研究了粘弹性系统在外在载荷的作用下的极限载荷及稳定性位移问题。发现了粘弹性结构蠕变屈曲的典型特征:延迟失稳。通过极限分析法和数值方法研究了环失稳后的后屈曲模态及相关参数对系统后屈曲解的影响。

Based on Boltzmaun＇s viscoelastic theory, the mathematical model of a free-standing viscoelastic ring subjected to uniform pressure is established by applying assumed modes method, Galerkin method and numerical method. It is found that, the free-standing viscoelastic ringing has both a stantaneous critic load and a durable critic load under uniform pressure. The influence of structure size and parameters of the material are discussed, The evolutionary trend of the system is also investigated.