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)
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GraFarTY - CONF AU - Milojević, Marija AU - Nefovska-Danilović, Marija AU - Marjanović, Miroslav PY - 2019 UR - https://grafar.grf.bg.ac.rs/handle/123456789/1726 AB - 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 frequencies due to the local stiffness degradation. C3 - Proceedings / The 7th International Congress of Serbian Society of Mechanics, Sremski Karlovci, June 24-26, 2019, 2019 T1 - Free vibration analysis of multiple cracked frames using dynamic stiffness method SP - s5a UR - https://hdl.handle.net/21.15107/rcub_grafar_1726 ER -
@conference{ author = "Milojević, Marija and Nefovska-Danilović, Marija and Marjanović, Miroslav", year = "2019", abstract = "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 frequencies due to the local stiffness degradation.", journal = "Proceedings / The 7th International Congress of Serbian Society of Mechanics, Sremski Karlovci, June 24-26, 2019, 2019", title = "Free vibration analysis of multiple cracked frames using dynamic stiffness method", pages = "s5a", url = "https://hdl.handle.net/21.15107/rcub_grafar_1726" }
Milojević, M., Nefovska-Danilović, M.,& Marjanović, M.. (2019). Free vibration analysis of multiple cracked frames using dynamic stiffness method. in Proceedings / The 7th International Congress of Serbian Society of Mechanics, Sremski Karlovci, June 24-26, 2019, 2019, s5a. https://hdl.handle.net/21.15107/rcub_grafar_1726
Milojević M, Nefovska-Danilović M, Marjanović M. Free vibration analysis of multiple cracked frames using dynamic stiffness method. in Proceedings / The 7th International Congress of Serbian Society of Mechanics, Sremski Karlovci, June 24-26, 2019, 2019. 2019;:s5a. https://hdl.handle.net/21.15107/rcub_grafar_1726 .
Milojević, Marija, Nefovska-Danilović, Marija, Marjanović, Miroslav, "Free vibration analysis of multiple cracked frames using dynamic stiffness method" in Proceedings / The 7th International Congress of Serbian Society of Mechanics, Sremski Karlovci, June 24-26, 2019, 2019 (2019):s5a, https://hdl.handle.net/21.15107/rcub_grafar_1726 .