A complex structural assembly often includes components made of isotropic and anisotropic materials and includes components with complex connections such as bolted, riveted, welded, and sliding joints. This paper categorizes the connections into two types, compatible and incompatible interfaces, and their mathematical descriptions are presented. A substructure with composite plate/shell element is provided. An approach, incorporating substructure-component mode synthesis, considering compatible and incompatible interfaces and being capable of handling laminated composite plate/shell (SCMSCIC) is proposed. Coupling equations including laminated composite substructure and including different types of connections between substructures are developed. Examples have shown good agreement from SCMSCIC and entire structure analysis.

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