Abstract
Present work establishes a new formulation to determine the dynamic characteristics of a cracked beam, where the change in second moment of area is considered. The present formulation considers the shift in the neutral axis of the cracked beam-element, which has been ignored previously. Consequently, an in-depth analysis is conducted to understand the effectiveness of this new approach. The results obtained shows a promising scope for the adoption of the updated formulation for various cross-sections and future research work.
Highlights
The field of dynamic analysis has been of great interest for two decades among researchers
The most challenging step in any finite element formulation is to obtain the best approximation of the physical model
In the field of structural dynamics, modelling the discontinuities such as cracks must incorporate the change in stiffness
Summary
The field of dynamic analysis has been of great interest for two decades among researchers. The primary step in any dynamic analysis of a structure is to establish a finite element model. The most challenging step in any finite element formulation is to obtain the best approximation of the physical model. A finite element model of a uniform cross sectioned cantilever beam was chosen to provide data for analysis. A new finite element formulation is established for the first time. The new formulation incorporates parallel axis theorem to determine the dynamic characteristics of the beam, effectively.
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