The presence of crack introduces local flexibilities and changes physical characteristics of a structure which in turn alter its dynamic behavior. Crack depth, location, orientation and number of cracks are the main parameters that greatly influence the dynamics. Therefore, it is necessary to understand dynamics of cracked structures. Predominantly, every material may be treated as viscoelastic and most of the time material damping facilitates to suppress vibration. Thus present study concentrates on exploring the dynamic behavior of damped cantilever beam with single open crack. Operator based constitutive relationship is used to develop the general time domain, linear viscoelastic model. Higher order equation of motion is obtained based on Euler-Bernoulli and Timoshenko beam theory. Finite element method is utilized to discretize the continuum. Higher order equation is further converted to state space form for Eigen analysis. From the numerical results, it is observed that the appearance of crack decreases the natural frequency of vibration when compared to an uncracked viscoelastic beam. Under cracked conditions, the viscoelastic Timoshenko beam tends to give lower frequency values when compared to viscoelastic Euler-Bernoulli beam due to shear effect.
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ASME 2017 Gas Turbine India Conference
December 7–8, 2017
Bangalore, India
Conference Sponsors:
- International Gas Turbine Institute
ISBN:
978-0-7918-5851-6
PROCEEDINGS PAPER
Dynamics of Cracked Viscoelastic Beam: An Operator Based Finite Element Approach
Krishanu Ganguly,
Krishanu Ganguly
NIT Rourkela, Rourkela, India
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Pradeep Nahak,
Pradeep Nahak
NIT Rourkela, Rourkela, India
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Haraprasad Roy
Haraprasad Roy
NIT Rourkela, Rourkela, India
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Krishanu Ganguly
NIT Rourkela, Rourkela, India
Pradeep Nahak
NIT Rourkela, Rourkela, India
Haraprasad Roy
NIT Rourkela, Rourkela, India
Paper No:
GTINDIA2017-4616, V002T05A008; 10 pages
Published Online:
February 2, 2018
Citation
Ganguly, K, Nahak, P, & Roy, H. "Dynamics of Cracked Viscoelastic Beam: An Operator Based Finite Element Approach." Proceedings of the ASME 2017 Gas Turbine India Conference. Volume 2: Structures and Dynamics; Renewable Energy (Solar, Wind); Inlets and Exhausts; Emerging Technologies (Hybrid Electric Propulsion, UAV,..); GT Operation and Maintenance; Materials and Manufacturing (Including Coatings, Composites, CMCs, Additive Manufacturing); Analytics and Digital Solutions for Gas Turbines/Rotating Machinery. Bangalore, India. December 7–8, 2017. V002T05A008. ASME. https://doi.org/10.1115/GTINDIA2017-4616
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