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Flexural Stiffness Of Honeycombed Beams Using Mode Shape Derivative Z. Ismail and H. Abdul Razak
Department of Civil Engineering, University of Malaya,
50603 Kuala Lumpur, Malaysia
A. G. Abdul Rahman
Department of Mechanical Engineering, University of Malaya,
50603 Kuala Lumpur, Malaysia
Abstract
This paper describes the application of the generalized solution for transverse vibration of the Bernoulli-Euler beam to derive the flexural stiffness of RC beams with honeycomb. Experimental modal analysis was performed on the beam and the mode shapes were extracted, and the eigenvectors were used in determining the mode shape equations.
The mode shape equation for the beams was obtained using nonlinear regression. The equation used in the regression was the generalized solution of transverse vibration of a Bernoulli-Euler prismatic beam. By utilizing the regressed phase variable, the global flexural stiffness was evaluated. It was observed that the global stiffness drops with increasing volumes of the honeycombs in the beam. The results were compared with values computed using the secant modulus from the load-deflection plot obtained upon loading at each load stage and the trend was similar. The proposed algorithm, which operates on the mode shape, can form the basis of a technique for structural health monitoring from damage in reinforced concrete structures due to honeycombing.
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