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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.
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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, 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.
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.
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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, 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.
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vibration of visco elastic rectangular plate with linearly thickness variations in both directions
Journal of Sound and Vibration, 2007Co-Authors: A K Gupta, A KhannaAbstract:Abstract The analysis presented here is to study the effect of linear thickness variations in both directions on vibration of visco-elastic rectangular plate having clamped boundary conditions on all the four edges. Using the separation of variables method, the governing differential equation has been solved for vibration of visco-elastic rectangular plate. An approximate but quite convenient frequency equation is derived by using Rayleigh–Ritz technique with a two-term Deflection Function. Logarithmic decrement, time period and Deflection at different points for the first two modes of vibration are calculated for various values of taper constants and aspect ratio.
Mostafa Ketabchi - One of the best experts on this subject based on the ideXlab platform.
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Investigation into wall wrinkling in deep drawing process of conical cups
Journal of Materials Processing Technology, 2011Co-Authors: Mohammad Amin Shafaat, Mahmoud Abbasi, Mostafa KetabchiAbstract:Abstract Wrinkling phenomenon has been one of the major limiting failure modes in sheet metal forming processes. Wrinkling phenomenon in sidewall area of the cup formed in the conical cup test was considered both experimentally and numerically. A new Deflection Function is developed in this research and the effects of material anisotropy on the onset of wrinkling are studied using Hosford and Hill-1948 yield criteria under isotropy, normal anisotropy and planar anisotropy conditions. It was observed that application of Hosford yield criterion resulted in better prediction of wrinkling onset. It was also found that as the effective stress increases, consistency between predicted results and experimental data at the onset of wrinkling improves. Also, a good agreement between experimental data and predictions using proposed Deflection Function is obtained.
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Effect of different yield criteria on prediction of wrinkling initiation of interstitial-free galvanized steel sheet
Materials & Design, 2011Co-Authors: Mohammad Amin Shafaat, Mahmoud Abbasi, Mostafa KetabchiAbstract:Abstract Thin interstitial-free (IF) galvanized steel sheets have great usage in auto industry due to their high formability and corrosion resistance. However presence of wrinkle waves in deep drawn parts of thin IF steel sheets is a common challenging issue. Achieving a reliable method to predict the wrinkling onset enables the manufacturers to avoid wrinkling by modification of forming parameters. In the present study, sidewall wrinkling of an IF-galvanized steel sheet was both analytically and experimentally examined during a conical cup wrinkling test. Using an energy method approach together with a newly developed Deflection Function, Hosford and Hill-1948 yield criteria were employed to predict the critical values of stress and cup height at the onset of wrinkling. According to the obtained results, applying Hill-1948 yield criterion resulted in prediction of wrinkling onset closer to the experimental value than Hosford yield criterion. It was also found that the newly presented Deflection Function has a great suitability for prediction of the real status of wrinkling phenomenon.
Mohammad Amin Shafaat - One of the best experts on this subject based on the ideXlab platform.
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Investigation into wall wrinkling in deep drawing process of conical cups
Journal of Materials Processing Technology, 2011Co-Authors: Mohammad Amin Shafaat, Mahmoud Abbasi, Mostafa KetabchiAbstract:Abstract Wrinkling phenomenon has been one of the major limiting failure modes in sheet metal forming processes. Wrinkling phenomenon in sidewall area of the cup formed in the conical cup test was considered both experimentally and numerically. A new Deflection Function is developed in this research and the effects of material anisotropy on the onset of wrinkling are studied using Hosford and Hill-1948 yield criteria under isotropy, normal anisotropy and planar anisotropy conditions. It was observed that application of Hosford yield criterion resulted in better prediction of wrinkling onset. It was also found that as the effective stress increases, consistency between predicted results and experimental data at the onset of wrinkling improves. Also, a good agreement between experimental data and predictions using proposed Deflection Function is obtained.
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Effect of different yield criteria on prediction of wrinkling initiation of interstitial-free galvanized steel sheet
Materials & Design, 2011Co-Authors: Mohammad Amin Shafaat, Mahmoud Abbasi, Mostafa KetabchiAbstract:Abstract Thin interstitial-free (IF) galvanized steel sheets have great usage in auto industry due to their high formability and corrosion resistance. However presence of wrinkle waves in deep drawn parts of thin IF steel sheets is a common challenging issue. Achieving a reliable method to predict the wrinkling onset enables the manufacturers to avoid wrinkling by modification of forming parameters. In the present study, sidewall wrinkling of an IF-galvanized steel sheet was both analytically and experimentally examined during a conical cup wrinkling test. Using an energy method approach together with a newly developed Deflection Function, Hosford and Hill-1948 yield criteria were employed to predict the critical values of stress and cup height at the onset of wrinkling. According to the obtained results, applying Hill-1948 yield criterion resulted in prediction of wrinkling onset closer to the experimental value than Hosford yield criterion. It was also found that the newly presented Deflection Function has a great suitability for prediction of the real status of wrinkling phenomenon.
Gin Boay Chai - One of the best experts on this subject based on the ideXlab platform.
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The instability behaviour of laminated panels with elastically rotationally restrined edges
Composite Structures, 2003Co-Authors: Gin Boay Chai, William M. Banks, James RhodesAbstract:Abstract In this contribution the analytical approach based on a semi-energy method was developed to study the instability behaviour of symmetrically laminated panels in pure compression. A four-term polynomial Function is used to postulate the out-of-plane Deflection form of a laminated panel. A one-term post-buckling Function is used in conjunction with the semi-energy method of analysis. The von Karman type large Deflection compatibility equation governing the behaviour of laminated panels is used together with a consideration of the total strain energy of the system. From the large Deflection compatibility equation the Deflection Function is related to the stress Function in terms of the unknown coefficients in the assumed Deflection Function. These are then substituted in the total strain energy expressions and the theorem of minimum total potential energy is applied to solve for the unknown coefficients.
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Buckling of generally laminated composite plates with various edge support conditions
Composite Structures, 1994Co-Authors: Gin Boay ChaiAbstract:Abstract A total potential energy approach was employed in conjunction with the Rayleigh-Ritz method to study the stability behaviour of generally laminated composite plates with various edge support conditions. Classical edge support conditions such as simple support, clamp or a combination of both are imposed on the plate system and their effect on the plate's buckling behaviour are analysed thoroughly. Multi-term trigonometric series Functions are used in the postulation of the Deflection Function to cater for the bending-twisting coupling responses which are dominant in symmetrically laminated composite plates. Detailed comparison of the 144-term solution obtained using the energy approach with the exact solution for some classes of laminated composite plates subjected to uniaxial compression and biaxial compression is presented to verify the theoretical prediction of the present analysis. The effect of the number of terms used in the postulation of the Deflection Function on the buckling behaviour is also discussed. Lastly, extensive comparison with previously published experimental data for the case of C-C-C-C and C-S-C-S laminated composite plates is carried out and discussed.