The reverberation-ray matrix and transfer matrix analyses of unidirectional wave motion
作者： Yih-Hsing Pao , Wei-Qiu Chen , Xian-Yue Su
DOI: 10.1016/J.WAVEMOTI.2007.02.004
关键词: Matrix method 、 Geometry 、 Coefficient matrix 、 Mathematics 、 State-transition matrix 、 Transfer matrix 、 Longitudinal wave 、 Mathematical analysis 、 State variable 、 Boundary value problem 、 Matrix (mathematics)
摘要: The unidirectional wave motions of many physical systems may all be represented by a set of state equations describing the dynamic state of certain physical variables in acoustics, …
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Frazer, Elementary Matrices: And Some Applications to Dynamics and Differential Equations Cambridge University Press. ,(1938) , 10.1017/CBO9780511629211
Frederick A. Leckie, Eduard C. Pestel, Matrix Methods in Elasto Mechanics McGraw-Hill. ,(1963)
Y.-H. Pao, G. Sun, Dynamic Bending Strains in Planar Trusses with Pinned or Rigid Joints Journal of Engineering Mechanics-asce. ,vol. 129, pp. 324- 332 ,(2003) , 10.1061/(ASCE)0733-9399(2003)129:3(324)
L. Wang, S.I. Rokhlin, Stable reformulation of transfer matrix method for wave propagation in layered anisotropic media. Ultrasonics. ,vol. 39, pp. 413- 424 ,(2001) , 10.1016/S0041-624X(01)00082-8
Y. Yong, Y. K. Lin, DYNAMICS OF COMPLEX TRUSS-TYPE SPACE STRUCTURES AIAA Journal. ,vol. 28, pp. 1250- 1258 ,(1990) , 10.2514/3.25202
Raymond J. Nagem, James H. Williams, Dynamic Analysis of Large Space Structures Using Transfer Matrices and Joint Coupling Matrices Mechanics of Structures and Machines. ,vol. 17, pp. 349- 371 ,(1989) , 10.1080/089054508915646
Xian-Yue Su, Jia-Yong Tian, Yih-Hsing Pao, Application of the reverberation-ray matrix to the propagation of elastic waves in a layered solid International Journal of Solids and Structures. ,vol. 39, pp. 5447- 5463 ,(2002) , 10.1016/S0020-7683(02)00358-X
YIH-HSING PAO, XIAN-YUE SU, JIA-YONG TIAN, REVERBERATION MATRIX METHOD FOR PROPAGATION OF SOUND IN A MULTILAYERED LIQUID Journal of Sound and Vibration. ,vol. 230, pp. 743- 760 ,(2000) , 10.1006/JSVI.1999.2675
William T. Thomson, Transmission of Elastic Waves through a Stratified Solid Medium Journal of Applied Physics. ,vol. 21, pp. 89- 93 ,(1950) , 10.1063/1.1699629
Samuel M. Howard, Yih-Hsing Pao, Analysis and Experiments on Stress Waves in Planar Trusses Journal of Engineering Mechanics. ,vol. 124, pp. 884- 891 ,(1998) , 10.1061/(ASCE)0733-9399(1998)124:8(884)