Abstract
“Exact” solutions are difficult to obtain due to the fact that it is not easy to replace the governing partial differential equations by ordinary differential equations, and that the number and order of the resulting ordinary differential equations are large, so that manual solutions are generally impossible. In this chapter a generalized Kantorovich method is presented which will produce the governing ordinary differential equations automatically in a similar manner to the finite element method which produces algebraic governing equations. The mth order and nth degree governing ordinary differential equations will be solved in a computer-oriented manner so that the dynamic stiffness matrix can be formed automatically.
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© 1993 Springer-Verlag London Limited
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Leung, A.Y.T. (1993). General Formulation. In: Dynamic Stiffness and Substructures. Springer, London. https://doi.org/10.1007/978-1-4471-2026-1_5
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DOI: https://doi.org/10.1007/978-1-4471-2026-1_5
Publisher Name: Springer, London
Print ISBN: 978-1-4471-2028-5
Online ISBN: 978-1-4471-2026-1
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