考虑二阶效应时筒中筒结构的基本微分方程

The fundamental differential of tube-in-tube structures considering second order effects

将筒中筒结构的外框筒作为具有弯曲及剪切变形的等效实腹筒体 ,而内筒只考虑其弯曲变形 ,根据这种模型 ,建立了筒中筒结构考虑 P-△效应时的基本微分方程 .此方程形式简明 ,力学意义明确 。

The outer frame tube of tube in tube structures is considered as an equivalent closed tube which possesses both bending and shearing deformation, while the inner tube possesses bending deformation only. The model is adopted to establish a fundamental differential equation on tube in tube structures considering P △ effects. The equation is simple and clear in shape, possesses distinct mechanical sense, and can be solved with facility.