摘要
利用直角坐标系下应力、应变与斜坐标系应力、应变之间的转换关系给出斜坐标系下合层斜板的本构方程;然后利用哈密顿变分原理导出了一般层合斜板非线性运动的控制方程;同时给出了各类特殊层合斜板的运动方程,为今后进一步分析层合斜板的非线性弯曲、后屈曲以及斜板的非线性自由振动提供理论依据。
Constitutive equations and governing equations for laminated skew plates in nonlinear dynamic case have been given in this paper by means of transforming stress-strain relation between cartesian systerm and oblique coordinades and appling Hamiltion's varitional principe. Those equations are,at the same time .specified for the different type of lamlinated skew plates. The results of this investigation can be regarded as reference of further studies in the postbuckling and nonlinear vibration problem of laminated skew plate
关键词
复合材料
层合斜板
非线性运动
各向异性
composite laminated skew plate
nonlinear dynamic case
anisotropy
governing equations