Abstract: In this paper, according to the method stated by Hu Hai-chang in [3], on the basis of [1], the method of split rigidities is generalized for the purpose of solving the problems of lateral deflection, stability and lateral vibration for anisotropic laminated shallow shells,and a simple and practical approximate method is obtained,in which the errors and computing work are comparatively small.

Key words: new principles of work and energy, power and energy rate, generalized Piola’s theorem, new equations of energy and energy rate, generalized continua