In this paper, the generalized variational principle of dynamic analysis for the blast-resistant underground structures is established, and the corresponding generalized functional of elastoplastic analysis for underg...In this paper, the generalized variational principle of dynamic analysis for the blast-resistant underground structures is established, and the corresponding generalized functional of elastoplastic analysis for underground structures is derived, and the generalized variational principle of nonconservative system is given, thus the fundamental of dynamical analysis for underground structures to resist blast is proposed. Finally, for the underground cylindrical structure to resist blast, dynamical calculations are made, and compared with the test results.展开更多
In this paper, based on the mathematical theory of classical mechanics and Chen's theorem, the variational method was used in the study of large deformation symmetrical elasticity problems. The generalized variati...In this paper, based on the mathematical theory of classical mechanics and Chen's theorem, the variational method was used in the study of large deformation symmetrical elasticity problems. The generalized variational principles of potential energy and complementary energy based on the instantaneous configuration were obtained, and the equivalence between the two principles was proved. Besides, the generalized variational principles of dynamical problems based on the instantaneous configuration were also given.展开更多
文摘In this paper, the generalized variational principle of dynamic analysis for the blast-resistant underground structures is established, and the corresponding generalized functional of elastoplastic analysis for underground structures is derived, and the generalized variational principle of nonconservative system is given, thus the fundamental of dynamical analysis for underground structures to resist blast is proposed. Finally, for the underground cylindrical structure to resist blast, dynamical calculations are made, and compared with the test results.
文摘In this paper, based on the mathematical theory of classical mechanics and Chen's theorem, the variational method was used in the study of large deformation symmetrical elasticity problems. The generalized variational principles of potential energy and complementary energy based on the instantaneous configuration were obtained, and the equivalence between the two principles was proved. Besides, the generalized variational principles of dynamical problems based on the instantaneous configuration were also given.