【摘要】 <正> In this paper, a generalized variational principle of elastodynamics in compositeshallow shells with edge beams is presented,and its equivalence to corresponding basicequations. ridge conditions and boundary conditions is proved.Then this variationalprinciple is applied to the folded shell structure.By means of double series,the approximateanalytical solutions for statics and dynamics under common boundary conditions areobtained.The comparison of our results with FEM computations and experiments showsthe analytical solutions have good convergence and their accuracy is quite satisfactory.更多还原

【Abstract】 In this paper, a generalized variational principle of elastodynamics in composite shallow shells with edge beams is presented, and its equivalence to corresponding basic equations, ridge conditions and boundary conditions is proved. Then this variational principle is applied to the folded shell structure. By means of double series, the approximate analytical solutions for statics and dynamics under common boundary conditions are obtained. The comparison of our results with FEM computations and experiments shows the analytical solutions have good convergence and their accuracy is quite satisfactory.更多还原