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Intrinsic component mode synthesis and plate vibrations. (English) Zbl 0766.73076
Summary: Component mode synthesis belongs to the class of Galerkin methods that enables one to compute the eigenpairs of a differential operator on a domain that can be subdivided into different subdomains on each of which the eigenpairs of the same operator are assumed to be known. Energy transfer between subdomains is achieved due to functions defined on the whole domain and called ‘constraint modes’. A new ‘fixed interface’ method is presented. It is based on a special choice of ‘constraint modes’ as the eigenfunctions of the Poincaré-Steklov operator associated with the domain decomposition. Error bounds are derived in the case of Kirchhoff plates, and numerical tests are presented.

MSC:
74S30 Other numerical methods in solid mechanics (MSC2010)
74P10 Optimization of other properties in solid mechanics
74K20 Plates
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