筒状大长度固体药柱在内压载荷下的响应

RESPONSE OF SOLID PROPELLANT LONG TUBE UNDER INNER PRESSUER LOAD

本文研究不可压缩的粘弹性圆筒 ,在轴对称的平面应变条件下承受内压的问题 ,粘弹性材料采用分数阶导数模型。并用分数阶导数模型拟合固体推进剂松弛模量曲线 ,用Laplace变换和其反变换计算了固体火箭发动机筒段在点火内压建立过程中的位移和应力 。

In this paper, incompressible viscoelastic tube under inner pressure load is studied with axial symmetric plain strain hypothesis Fractional derivative is adopted to model viscoelastic material Solid propellant relaxation module curve is fitted with fractional derivative model The displacement and stress of solid rocket motor tube segment is calculated in the process of ignition inner pressure establishment using Laplace transformation and inverse transformation Their variation with position and time is obtained