Vol 51 (2024)

IMPACT OF BI-LINEAR TEMPERATURE VARIATION ON THE VIBRATION OF ISOTROPIC VISCO-ELASTIC SQUARE PLATES C-C-C-C WITH CIRCULAR THICKNESS VARIATION

Anju Kaushal1, Manoj Kumar Dhiman2*, Preeti Prashar3

Abstract

The dynamic response of isotropic viscoelastic square plates to temperature variations is a critical area of study in structural mechanics and materials science. This research paper investigates the influence of bi-linear temperature distributions on the vibration characteristics of such plates. Through analytical formulations and numerical simulations, the paper explores how abrupt changes in temperature across the plate's thickness affect its natural frequencies, mode shapes, and damping properties. The findings provide insights into optimizing the design and performance of viscoelastic structures under varying thermal conditions.

Keywords:

:temperature, plate, vibration, frequency, thickness


Full Text:

PDF


References


1. [1]. Z. Sobotka, “Free Vibration of Visco-Elastic Orthotropic Rectangular Plates,” Acta Technica, Vol. 23, No. 6, 1978, pp. 678-705. [2]. A. K. Gupta and A. Khanna, “Vibration of Viscoelastic Rectangular Plate with Linearly Thickness Variations in Both Directions,” Journal of Sound and Vibration, Vol. 301, No. 3-5, 2007, pp. 450-457. [3]. A. W. Leissa, “Vibration of Plate,” NASA SP-60, 1969. [4]. S. R. Li and Y. H. Zhou, “Shooting Method for Non Lin ear Vibration and Thermal Buckling of Heated Orthotropic Circular Plates,” Journal of Sound and Vibration, Vol. 248, No. 2, 2001, pp. 379-386. [5]. D. V. Bambill, C. A. Rossil, P. A. A. Laura and R. E. Rossi, “Transverse Vibrations of an Orthotropic Rectangular Plate of Linearly Varying Thickness and with a Free Edge,” Journal of Sound and Vibration, Vol. 235, No. 3, 2000, pp. 530-538. [6]. J. S. Tomar and A. K. Gupta, “Effect of Thermal Gradient on Frequencies of Orthotropic Rectangular Plate Whose Thickness Varies in Two Directions,” Journal of Sound and Vibration, Vol. 98, No. 2, 1985, pp. 257-262. [7]. J. S. Tomar and A. K. Gupta, “Thermal Effect on Fre quencies of an Orthotropic Rectangular Plate of Linearly Varying Thickness,” Journal of Sound and Vibration, Vol. 90, No. 3, 1983, pp. 325-331. [8]. J. S. Tomar and A. K. Gupta, “Effect of Exponential Temperature Variation on Frequencies of an Orthotropic Rectangular Plate of Exponentially Varying Thickness,” Proceeding of the Workshop on Computer Application in Continum Mechanics, Roorkee, 11-13 March 1986, pp.183-188. [9]. U. S. Gupta, R. Lal and S. Sharma, “Vibration Analysis of Non-Homogenous Circular Plate of Nonlinear Thickness Variation by Differential Quadrature Method,” Journal of Sound and Vibration, Vol. 298, No. 4-5, 2006, pp. 892-906. [10]. A. K. Gupta, T. Johri and R. P. Vats, “Thermal Effect on Vibration of Non-Homogeneous Orthotropic RectangularnPlate Having Bi-Directional Parabolically Varying Thick ness,” Proceeding of International Conference in World Congress on Engineering and Computer Science 2007 (WCECS 2007), San Francisco, 24-26 October 2007, pp.784-787. [11]. A. K. Gupta, A. Kumar and D. V. Gupta, “Vibration of Visco-Elastic Orthotropic Parallelogram Plate with Linearly Thickness Variation,” Proceeding of International Conference in World Congress on Engineering and Computer Science 2007 (WCECS 2007), San Francisco,24-26 October 2007, pp. 800-803. [12]. A. K. Gupta and L. Kumar, “Thermal Effect on Vibration of Non-Homogenous Visco-Elastic Rectangular Plate of Linear Varying Thickness,” Meccanica, Vol. 43, No. 1, 2008, pp. 47-54.

Refbacks

  • There are currently no refbacks.