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R P Vats - One of the best experts on this subject based on the ideXlab platform.
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study of thermal gradient effect on Vibrations of a non homogeneous orthotropic rectangular plate having bi direction linearly thickness variations
Meccanica, 2010Co-Authors: A K Gupta, Tripti Johri, R P VatsAbstract:Here, thermal gradient effect on Vibration of non-homogeneous orthotropic rectangular plate having bi-direction linearly thickness variations is studied. The non-homogeneity is assumed to arise due to the variation in the density of the plate material. Rayleigh Ritz method is used to evaluate the fundamental frequencies and deflection function. The two-dimensional thickness variation is taken as the Cartesian product of linear variations along the two concurrent edges of the plate. Yet the method used for the solution of present problem provides an approximate solution but it is quite convenient and authentic one. A two-term deflection function is used. Frequency corresponding to first Mode of Vibration is calculated for clamped plate for different values of temperature gradient, taper constants and non-homogeneity constant. In special cases, comparisons have been made with results that are available in the literature.
Zoltaniosif Korka - One of the best experts on this subject based on the ideXlab platform.
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a robust damage detection method based on multi modal analysis in variable temperature conditions
Mechanical Systems and Signal Processing, 2019Co-Authors: Gilbertrainer Gillich, Horia Furdui, Magd Abdel Wahab, Zoltaniosif KorkaAbstract:Abstract This paper proposes a method, based on multi-modal analysis, which permits assessing damages in beams subjected to axial forces induced by temperature changes. The effect of temperature is eliminated by employing adjustment coefficients, individually developed for each Mode of Vibration. If the beam is supported by elastic supports, these coefficients consider also the relative displacement at the beam ends. These coefficients can be used for the intact beam, as well as, for the beam with transverse cracks. Predictive Models describing the Vibration behavior of beam-like structures in healthy and damaged states are developed based. Numerical simulations and experimental tests were completed on beams with fixed ends to check the practical applicability of the proposed method in variable temperature conditions. The results validate the developed method that employs adjusting coefficients, which can be used for perfectly clamped beams, even if restraints allow a small longitudinal displacement.
Magd Abdel Wahab - One of the best experts on this subject based on the ideXlab platform.
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a robust damage detection method based on multi modal analysis in variable temperature conditions
Mechanical Systems and Signal Processing, 2019Co-Authors: Gilbertrainer Gillich, Horia Furdui, Magd Abdel Wahab, Zoltaniosif KorkaAbstract:Abstract This paper proposes a method, based on multi-modal analysis, which permits assessing damages in beams subjected to axial forces induced by temperature changes. The effect of temperature is eliminated by employing adjustment coefficients, individually developed for each Mode of Vibration. If the beam is supported by elastic supports, these coefficients consider also the relative displacement at the beam ends. These coefficients can be used for the intact beam, as well as, for the beam with transverse cracks. Predictive Models describing the Vibration behavior of beam-like structures in healthy and damaged states are developed based. Numerical simulations and experimental tests were completed on beams with fixed ends to check the practical applicability of the proposed method in variable temperature conditions. The results validate the developed method that employs adjusting coefficients, which can be used for perfectly clamped beams, even if restraints allow a small longitudinal displacement.
Ahmad Javid - One of the best experts on this subject based on the ideXlab platform.
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The influence of preform on the Modes of vibrating beams
Earthquake Engineering & Structural Dynamics, 2006Co-Authors: James M. Kelly, Jerome L. Sackman, Ahmad JavidAbstract:A theoretical analysis is presented of a vibratory system in which it is possible to eliminate an unwanted Mode of Vibration by using that Mode as an initial deformation of the system. The analysis shows that this is possible in straight beams with end restraints in axial deformation. The mathematical problem leads to an eigenvalue problem of a type not normally encountered. In the paper examples are given for the changes in eigenfrequency and Mode shape produced by the initial preformed shape of the beam for cases where the preform is proportional to a Mode of the straight beam and when the preform is unrelated to any Mode
A K Gupta - One of the best experts on this subject based on the ideXlab platform.
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study of thermal gradient effect on Vibrations of a non homogeneous orthotropic rectangular plate having bi direction linearly thickness variations
Meccanica, 2010Co-Authors: A K Gupta, Tripti Johri, R P VatsAbstract:Here, thermal gradient effect on Vibration of non-homogeneous orthotropic rectangular plate having bi-direction linearly thickness variations is studied. The non-homogeneity is assumed to arise due to the variation in the density of the plate material. Rayleigh Ritz method is used to evaluate the fundamental frequencies and deflection function. The two-dimensional thickness variation is taken as the Cartesian product of linear variations along the two concurrent edges of the plate. Yet the method used for the solution of present problem provides an approximate solution but it is quite convenient and authentic one. A two-term deflection function is used. Frequency corresponding to first Mode of Vibration is calculated for clamped plate for different values of temperature gradient, taper constants and non-homogeneity constant. In special cases, comparisons have been made with results that are available in the literature.