摘要
Without any assumptions about displacement models and stress distribution, the state equation for orthotropy is established in a cylindrical coordinate system. The exact solutions are presented for the statics, dynamics and buckling of thick open laminated cylindrical shells by means of the Cayley-Hamilton theorem. No matter how many layers are considered, the calculation always leads to solving a set of linear algebraic equations of three unknowns. Every equation of elasticity can be satisfied and all the elastic constants can be taken into account. Precision of the desired order can be obtained.
Without any assumptions about displacement models and stress distribution, the state equation for orthotropy is established in a cylindrical coordinate system. The exact solutions are presented for the statics, dynamics and buckling of thick open laminated cylindrical shells by means of the Cayley-Hamilton theorem. No matter how many layers are considered, the calculation always leads to solving a set of linear algebraic equations of three unknowns. Every equation of elasticity can be satisfied and all the elastic constants can be taken into account. Precision of the desired order can be obtained.
基金
Project supported by the National Natural Science Foundation of China
