Thermoelastic vibrations in a thin elliptic annulus plate with elastic supports

Varghese, Vinod; Dhakate, Tara; Khalsa, Lalsingh

doi:10.1016/j.taml.2018.01.009

Cited by 2 publications

(1 citation statement)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Roy Choudhary [3], Khobragade and Deshmukh [4], Varghese and Khalsa [5] and many others. Similarly, the present author [6][7][8][9][10][11][12][13] have investigated various thermoelastic problems in elliptical objects of simple materials due to interior heat generation or sectional heat supply with different solid objects. Even one-dimensional thermoelastic problems made up of non-simple elastic material due to heat sources has been studied by various authors, viz.…”

Section: Introductionmentioning

confidence: 99%

Temperature and stress distribution in a non-simple elastic elliptical plate due to point impulsive heat sources

Varghese¹,

Bhad²,

Mahakalkar³

2019

International Journal of Thermodynamics

Self Cite

View full text Add to dashboard Cite

The paper attempts to determine the thermoelastic stresses in a thin elliptical plate made up of non-simple elastic material subjected to point impulsive time-dependent source of heat moving with constant velocity over the specified finite portion. The temperature field in the plate has been considered when the sectional heat supply is continuously distributed along the circumference of an ellipse over the upper face with zero temperature on the lower face, and thermally insulated curved edge. The solution is formulated involving the Mathieu and modified functions by employing the Laplace transform technique. The analytical solution for the thermal stress components is obtained using Airy's stress function with mechanical boundary conditions as stress-free. Numerical results are also obtained.

show abstract

Section: Introductionmentioning

confidence: 99%

Temperature and stress distribution in a non-simple elastic elliptical plate due to point impulsive heat sources

Varghese¹,

Bhad²,

Mahakalkar³

2019

International Journal of Thermodynamics

Self Cite

View full text Add to dashboard Cite

show abstract

Fundamental Frequencies of Elliptical Plates using Static Deflections

Altekin¹

2022

Teknik Dergi

View full text Add to dashboard Cite

Fundamental frequencies of solid and annular elliptical plates were approximated using the static deflections by means of finite element method (FEM) without computing the eigenvalues. The problem was formulated within the framework of the first order shear deformation theory (FSDT). The effects of (i) the inner and outer boundary conditions, (ii) the size of the perforation, (iii) the aspect ratio, and (iv) the thickness of the plate on the performance of the method were examined via a large variety of numerical simulations. Convergence study was performed through h-refinement. Accuracy of the results was validated through comparison studies. The results reveal that the application of the Morley's formula which does not require eigenvalue analysis approximates the fundamental frequency with finer mesh compared to the eigenvalue analysis. The method can be considered as a practical technique to approximate the fundamental frequency. However, the boundary conditions have dominant role on the accuracy of the solution particularly when the plate is perforated.

show abstract

Thermoelastic vibrations in a thin elliptic annulus plate with elastic supports

Cited by 2 publications

References 17 publications

Temperature and stress distribution in a non-simple elastic elliptical plate due to point impulsive heat sources

Temperature and stress distribution in a non-simple elastic elliptical plate due to point impulsive heat sources

Fundamental Frequencies of Elliptical Plates using Static Deflections

Contact Info

Product

Resources

About