A Dynamic Stiffness Element for Free Vibration Analysis of Delaminated Layered Beams
| Autor: | Nicholas H. Erdelyi, Seyed M. Hashemi |
|---|---|
| Rok vydání: | 2023 |
| Předmět: |
Materials science
Article Subject business.industry General Engineering Stiffness 020101 civil engineering 02 engineering and technology Structural engineering 021001 nanoscience & nanotechnology lcsh:QA75.5-76.95 Finite element method 0201 civil engineering Computer Science Applications Vibration Modeling and Simulation Bending stiffness medicine Direct stiffness method lcsh:Electronic computers. Computer science Boundary value problem medicine.symptom 0210 nano-technology business Beam (structure) Stiffness matrix |
| Zdroj: | Modelling and Simulation in Engineering, Vol 2012 (2012) |
| DOI: | 10.32920/14637402 |
| Popis: | A dynamic stiffness element for flexural vibration analysis of delaminated multilayer beams is developed and subsequently used to investigate the natural frequencies and modes of two-layer beam configurations. Using the Euler-Bernoulli bending beam theory, the governing differential equations are exploited and representative, frequency-dependent, field variables are chosen based on the closed form solution to these equations. The boundary conditions are then imposed to formulate the dynamic stiffness matrix (DSM), which relates harmonically varying loads to harmonically varying displacements at the beam ends. The bending vibration of an illustrative example problem, characterized by delamination zone of variable length, is investigated. Two computer codes, based on the conventional Finite Element Method (FEM) and the analytical solutions reported in the literature, are also developed and used for comparison. The intact and defective beam natural frequencies and modes obtained from the proposed DSM method are presented along with the FEM and analytical results and those available in the literature. |
| Databáze: | OpenAIRE |
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