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2014•IOSR Journal of Mechanical and Civil EngineeringOpen access

Free Vibration Analysis of an Un-cracked & Cracked Fixed Beam

Malay Quila, Samar Chandra Mondal, Susenjit Sarkar

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Abstract

The presence of cracks causes changes in the physical properties of a structure which introduces flexibility,and thus reducing the stiffness of the structure with an inherent reduction in modal natural frequencies.Consequently it leads to the change in the dynamic response of the beam.This paper focuses on the theoretical analysis of transverse vibration of a fixed beam and investigates the mode shape frequency.All the theoretical values are analyzed with the numerical method by using ANSYS software and co relate the theoretical values with the numerical values to find out percentage error between them.Also in this paper, a model for free vibration analysis of a beam with an open edge crack has been presented.Variations of natural frequencies due to crack at various locations and with varying crack depths have been studied.A parametric study has been carried out.The analysis was performed using ANSYS software.

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What this paper is about

The presence of cracks causes changes in the physical properties of a structure which introduces flexibility,and thus reducing the stiffness of the structure with an inherent reduction in modal natural frequencies.Consequently it leads to the change in the dynamic response of the beam.This paper focuses on the theoretical analysis of transverse vibration of a fixed beam and investigates the mode shape frequency.All the theoretical values are analyzed with the numerical method by using ANSYS software and co relate the theoretical values with the numerical values to find out percentage error between them.Also in this paper, a model for free vibration analysis of a beam with an open edge crack has been presented.Variations of natural frequencies due to crack at various locations and with varying crack depths have been studied.A parametric study has been carried out.The analysis was performed using ANSYS software.

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Available abstract

The presence of cracks causes changes in the physical properties of a structure which introduces flexibility,and thus reducing the stiffness of the structure with an inherent reduction in modal natural frequencies.Consequently it leads to the change in the dynamic response of the beam.This paper focuses on the theoretical analysis of transverse vibration of a fixed beam and investigates the mode shape frequency.All the theoretical values are analyzed with the numerical method by using ANSYS software and co relate the theoretical values with the numerical values to find out percentage error between them.Also in this paper, a model for free vibration analysis of a beam with an open edge crack has been presented.Variations of natural frequencies due to crack at various locations and with varying crack depths have been studied.A parametric study has been carried out.The analysis was performed using ANSYS software.

Key concepts: Structural engineering, Beam (structure), Vibration, Materials science, Acoustics, Engineering, Physics

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