Dynamic behaviors of general composite beams using mixed finite elements

• Published in: International journal of mechanical sciences Vol. 281; p. 109687
• Main Authors: Jiang, Jiaqing, Chen, Weiqiu
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01-11-2024
• Subjects: Buckling; Composite beams; Free vibration; Mixed finite element; Partial-interaction; State space method; Partial-interaction; State space method; Composite beams; Mixed finite element; Free vibration; Buckling
• ISSN: 0020-7403
• DOI: 10.1016/j.ijmecsci.2024.109687

•A state-space-based mixed finite element method is established for dynamic analysis of composite beams.•This method is capable of dealing with both transversely multi-layered and axially jointed composite beams.•Stress singularities near the interfaces are resolved by ensuring both displacement and stress continuities across different materials.•Simultaneous arrangement of displacements and stresses provides reliable simulations of boundary conditions at both ends.
A novel mixed finite element method is developed and implemented for analyzing the vibration and buckling behavior of general composite beams which consists both transversely layered and axially jointed materials. The governing state-space equations are derived using the Hamilton's principle, where both displacements and stresses are treated as fundamental variables. This semi-analytical method uses transfer relations in the transverse direction and finite element meshing in the longitudinal direction, overcoming the difficulties for general composite beams analysis and providing computational efficiency and analyzing flexibilities. The developed mixed finite element model ensures continuity of both displacements and stresses across the material interface, thereby resolving interfacial stress singularity issues and offering more reliable simulations of boundary conditions at both ends. The proposed method is formulated and validated for the free vibration and buckling analysis of general composite beams. Additionally, it is observed that material properties such as Young's modulus and density, as well as the stiffness of the interface connecting layers, have significant effects on the free vibration and buckling responses of the composite beams. Analysis of periodically distributed and bi-directional composite beams demonstrates the versatility of this method in handling two types of combination forms. The proposed method serves as a valuable reference for obtaining accurate vibration and buckling results while ensuring stress-compatibility for composite beams in practical applications.
[Display omitted]