caa a22 4500 46908510X CHVBK 20180323133002.0 cr unu---uuuuu 170328e19920201xx s 000 0 eng 10.1007/BF00041648 doi (NATIONALLICENCE)springer-10.1007/BF00041648 Pan Ernian Dept. of Earthquake Engineering, IWHR, P.O. Box 366, Beijing, China aut Vibration of a transversely isotropic, simply supported and layered rectangular plate [Elektronische Daten] [Ernian Pan] The propagator matrix method is used in this paper to study the vibration of a transversely isotropic, simply supported and layered rectangular plate. A new system of vector functions is constructed to deal with general surface loading, and general solutions and layer matrices of exact closed form are obtained in this system. The particular solution for forced vibration, and the characteristic equations for free vibration of various surface conditions are then obtained by simple multiplication of layer matrices. These results are presented in such a way that the dilatational and distortional modes of vibration are separated. As a special case of the layered plate, results for the corresponding homogeneous thick plate are also derived. They are presented in a very simple form, and contain the previous results for the static transversely isotropic and the dynamic isotropic plates. Kluwer Academic Publishers, 1992 73C99 nationallicence Journal of Elasticity Kluwer Academic Publishers 27/2(1992-02-01), 167-181 0374-3535 27:2<167 1992 27 10659 https://doi.org/10.1007/BF00041648 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00041648 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Pan Ernian Dept. of Earthquake Engineering, IWHR, P.O. Box 366, Beijing, China aut NATIONALLICENCE 773 0- Journal of Elasticity Kluwer Academic Publishers 27/2(1992-02-01), 167-181 0374-3535 27:2<167 1992 27 10659 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer