Free vibration analysis of multiple cracked frames using dynamic stiffness method
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Cracks are the most common type of structural damage in many engineering structures,
introducing the local change in stiffness of structural elements and changing the dynamic
properties of the structure. Therefore, it is of great importance to detect and locate the existing
structural damage in its early phase to prevent crack propagation.
In the paper, free vibration analysis of beams and frames with multiple cracks has been
carried out. First, the dynamic stiffness matrix of beam element with multiple cracks based on
Bernoulli-Euler theory has been derived. Using the developed model, extensive free vibration
study of multiple-cracked frame structures has been conducted. Original Matlab code has
been developed for the derivation of natural frequencies and plot of mode shapes.
After the validation of the model against the existing data from the literature, several
benchmark examples are provided. As expected, increasing size and number of cracks lead to
decrease of natural f...requencies due to the local stiffness degradation.
Keywords:
dynamic stiffness method / crack / beam / frame / free vibrationSource:
Proceedings / The 7th International Congress of Serbian Society of Mechanics, Sremski Karlovci, June 24-26, 2019, 2019, 2019, s5a-Funding / projects:
- Towards development of sustainable cities: influence of traffic induced vibrations on buildings and humans (RS-MESTD-Technological Development (TD or TR)-36046)
- Research on condition assessment and improvement methods of civil engineering structures in view of their serviceability, load-bearing capacity, cost effectiveness and maintenance (RS-MESTD-Technological Development (TD or TR)-36048)