Topics in Modal Analysis, Volume 7

35 Spectral Element Method for Cable Harnessed Structure 381 Fig. 35.1 Comparision of SEM and FEM by means of Receptance graph. (a) Receptance of SEM (1 element) and FEM (5 elements). (b) Receptance of SEM (1 element) and FEM (10 elements) The global stiffness matrixSg;1 andSg;2 are 2N 2N matrices and the global displacement and force vector dg;1; dg;2; fg;1 and fg;2 are 2N 1 vectors. If the force fk is working on between ith nodes of beam 1 and beam 2 due to the spring connection, fk can be given by fk Dk.Wi;1 Wi;2/ (35.19) The total combined system can be expressed as Sg;1 ˚dg;1 Cfk D˚fg;1 Sg;2 ˚dg;2 fk D˚fg;2 (35.20)

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