Abstract
In this paper, a finite element mathematical model to evaluate natural frequencies and Frequency Response Functions (FRFs) of an L-shaped cracked beam structure is established. Dynamics of L-shaped beam structure is a very challenging subject and very little information is reported in literature. L-shaped beam structure is assumed to be fixed at end of the vertical column and free at the other end of the horizontal column. Natural frequencies are evaluated using finite element method in MatLab and simulations using Ansys (Version 18.2) is carried out to validate the mathematical model. Totally 18 cases with different crack positions and three different crack depths are considered for the analysis. Results obtained by both methods are tabulated and find a very good agreement in the results. Reported results can be used as a benchmark for further study of crack propagation and fatigue failure analysis in built-up structures.
Highlights
Dynamic analysis of structures is one of the very fascinating subjects for many researchers for over many decades
Many researchers have extensively worked on the structural dynamics in finding natural frequencies and mode shapes for various beams with varying boundary conditions
As per the knowledge of the authors, a mathematical model to evaluate the dynamic characteristics of cracked L-shaped beam structures has not been reported
Summary
Dynamic analysis of structures is one of the very fascinating subjects for many researchers for over many decades. Simple beams such as cantilever and fixed-fixed beams form basic beam structures. Many researchers have extensively worked on the structural dynamics in finding natural frequencies and mode shapes for various beams with varying boundary conditions. To study the beam characteristics, research has shown further interest in dynamic analysis of cracked beams. As per the knowledge of the authors, a mathematical model to evaluate the dynamic characteristics of cracked L-shaped beam structures has not been reported. K. reports the dynamic characteristics of L-shaped beams with and without crack, using both analytical and simulation approaches. The mode shape behaviour and FRF characteristics, both point and transfer are reported
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
