In this work, an advanced formulation for the analysis of multi-component structures is presented. By employing the Carrera Unified Formulation (CUF), one-dimensional theories of structures are unified and written in a compact form by using fundamental nuclei. The principle of virtual displacement is then used to write the governing equations and the related finite element arrays. Classical one-dimensional shape functions are utilized to discretize the problem along the beam axis and to deal with complex geometries and loadings. Thanks to CUF, various one-dimensional beam theories are included within the same hierarchical finite element. Particular attention is paid to the Component-Wise (CW) approach. CW models are generated by developing beam theories based on Lagrange polynomial expansions of the generalized displacements. The enhanced capabilities of the present CW models when applied to the analysis of short beams, thin-walled structures and multi-component constructions are widely discussed.

Component-Wise Method Applied to Static and Dynamic Analysis of Reinforced Structures with Applications to Aerospace, Civil Engineering and Marine Constructions / Carrera, Erasmo; Pagani, Alfonso. - STAMPA. - 2:(2015), pp. 404-406. (Intervento presentato al convegno School for Young Scientists ``Mathematical Modelling and Computer Simulation of Technical Systems'' tenutosi a Tambov, Russian Federation nel 26-28 October, 2015).

### Component-Wise Method Applied to Static and Dynamic Analysis of Reinforced Structures with Applications to Aerospace, Civil Engineering and Marine Constructions

#### Abstract

In this work, an advanced formulation for the analysis of multi-component structures is presented. By employing the Carrera Unified Formulation (CUF), one-dimensional theories of structures are unified and written in a compact form by using fundamental nuclei. The principle of virtual displacement is then used to write the governing equations and the related finite element arrays. Classical one-dimensional shape functions are utilized to discretize the problem along the beam axis and to deal with complex geometries and loadings. Thanks to CUF, various one-dimensional beam theories are included within the same hierarchical finite element. Particular attention is paid to the Component-Wise (CW) approach. CW models are generated by developing beam theories based on Lagrange polynomial expansions of the generalized displacements. The enhanced capabilities of the present CW models when applied to the analysis of short beams, thin-walled structures and multi-component constructions are widely discussed.
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Utilizza questo identificativo per citare o creare un link a questo documento: `https://hdl.handle.net/11583/2626571`