Based on the Hellinger-Reissner （H-R） mixed variational principle for piezoelectric material, a unified 4-node Hamiltonian isoparametric element of anisotropy piezoelectric material is established. A new semi-analyt...Based on the Hellinger-Reissner （H-R） mixed variational principle for piezoelectric material, a unified 4-node Hamiltonian isoparametric element of anisotropy piezoelectric material is established. A new semi-analytical solution for the natural vibration of smart laminated plates and the transient response of the laminated cantilever with piezoelectric patch is presented. The major steps of mathematical model are as follows： the piezoelectric layer and host layer of laminated plate are considered as unattached three-dimensional bodies and discretized by the Hamiltonian isoparametric elements. The control equation of whole structure is derived by considering the compatibility of generalized displacements and generalized stresses on the interface between layers. There is no restriction for the side-face geometrical boundaries, the thickness and the number of layers of plate by the use of the present isoparametric element. Present method has wide application area.展开更多
PALAIS DE L’ELYSEE Lundi 9 novembre 1987 …… Monsieur le Président, Madame, Mesdames et Messieurs, Pour la première fois dans l’histoire, la France recoit aujourd’hui sur son sol le Chef d’Etat de la Ch...PALAIS DE L’ELYSEE Lundi 9 novembre 1987 …… Monsieur le Président, Madame, Mesdames et Messieurs, Pour la première fois dans l’histoire, la France recoit aujourd’hui sur son sol le Chef d’Etat de la Chine. Elle l’accueille avec éclat, avec solennité, en mesurant l’importance d’un événement dont chacun sent bien ici le caractére exceptionnel. D’abord pare qu’il s’agit de la Chine, la plus ancienne eivilisation du mon-展开更多
基金Project supported by the National Natural Science Foundation of China (No. 10072038)
文摘Based on the Hellinger-Reissner （H-R） mixed variational principle for piezoelectric material, a unified 4-node Hamiltonian isoparametric element of anisotropy piezoelectric material is established. A new semi-analytical solution for the natural vibration of smart laminated plates and the transient response of the laminated cantilever with piezoelectric patch is presented. The major steps of mathematical model are as follows： the piezoelectric layer and host layer of laminated plate are considered as unattached three-dimensional bodies and discretized by the Hamiltonian isoparametric elements. The control equation of whole structure is derived by considering the compatibility of generalized displacements and generalized stresses on the interface between layers. There is no restriction for the side-face geometrical boundaries, the thickness and the number of layers of plate by the use of the present isoparametric element. Present method has wide application area.
文摘PALAIS DE L’ELYSEE Lundi 9 novembre 1987 …… Monsieur le Président, Madame, Mesdames et Messieurs, Pour la première fois dans l’histoire, la France recoit aujourd’hui sur son sol le Chef d’Etat de la Chine. Elle l’accueille avec éclat, avec solennité, en mesurant l’importance d’un événement dont chacun sent bien ici le caractére exceptionnel. D’abord pare qu’il s’agit de la Chine, la plus ancienne eivilisation du mon-
