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D. Scano, E. Carrera, M. Petrolo, "Development of 1D Finite Elements With Node-Wise Higher-Order Structural Theories", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Eighteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 10, Paper 13.2, 2025,

Keywords: finite element method, Carrera unified formulation, node dependent kinematics, asymptotic-axiomatic method, Taylor polynomials, refined models.

Abstract

This paper presents an innovative modeling approach to increase the accuracy and computational efficiency of Finite Element (FE) models. The present method integrates three key advancements: (1) one-dimensional elements, (2) higher-order structural theories, and (3) a node-dependent kinematics (NDK) framework, where each FE node can possess an independent set of degrees of freedom. Based on the Carrera Unified Formulation (CUF), this framework facilitates the derivation of arbitrary structural theories along with their governing equations and FE arrays. The NDK approach enables spatially varying structural theories. The study focuses on free-vibration analyses of civil engineering beam structures. This work identifies the most efficient spatial distributions of high-fidelity models—those that minimize computational cost while meeting a predefined accuracy threshold. This paper proposes a novel methodology for constructing finite element matrices by dynamically retrieving the active degrees of freedom at each node. The results demonstrate the optimal selection of generalized unknown variables.

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Front Page Browse CCC CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Conferences ISSN 2753-3239 CCC: 10 PROCEEDINGS OF THE EIGHTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING Edited by: P. Iványi, J. Kruis and B.H.V. Topping Paper 13.2 Development of 1D Finite Elements With Node-Wise Higher-Order Structural Theories D. Scano, E. Carrera and M. Petrolo Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Turin, Italy Full Bibliographic Reference for this paper D. Scano, E. Carrera, M. Petrolo, "Development of 1D Finite Elements With Node-Wise Higher-Order Structural Theories", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Eighteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 10, Paper 13.2, 2025, Keywords: finite element method, Carrera unified formulation, node dependent kinematics, asymptotic-axiomatic method, Taylor polynomials, refined models. Abstract This paper presents an innovative modeling approach to increase the accuracy and computational efficiency of Finite Element (FE) models. The present method integrates three key advancements: (1) one-dimensional elements, (2) higher-order structural theories, and (3) a node-dependent kinematics (NDK) framework, where each FE node can possess an independent set of degrees of freedom. Based on the Carrera Unified Formulation (CUF), this framework facilitates the derivation of arbitrary structural theories along with their governing equations and FE arrays. The NDK approach enables spatially varying structural theories. The study focuses on free-vibration analyses of civil engineering beam structures. This work identifies the most efficient spatial distributions of high-fidelity models—those that minimize computational cost while meeting a predefined accuracy threshold. This paper proposes a novel methodology for constructing finite element matrices by dynamically retrieving the active degrees of freedom at each node. The results demonstrate the optimal selection of generalized unknown variables. download the full-text of this paper (PDF, 10 pages, 1044 Kb) go to the previous paper go to the next paper return to the table of contents return to the volume description
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