Vibration and Stability Analysis of Functionally Graded Skew Plate Using Higher Order Shear Deformation Theory

Vibration and Stability Analysis of Functionally Graded Skew Plate Using Higher Order Shear... This paper deals with the vibration and buckling analysis of skew functionally graded material (FGM) plates. A finite element mathematical model is developed based on higher order shear deformation theory. The model is based on an eight noded isoparametric element with seven degrees of freedom per node. The material properties are graded along thickness direction obeying simple power-law distribution. The general displacement equation provides $$\hbox {C}^{0}$$ C 0 continuity. The transverse shear strain undergoes parabolic variation through the thickness of the plate. Hence, there is no requirement of a shear correction factor in this theory. The governing equation for the skew FGM plate is obtained using Hamilton’s principle. The obtained results are compared with the published results to determine the accuracy of the method. The effect of various parameters like aspect ratio, side-thickness ratio, volume fraction index, boundary conditions and skew angle on the natural frequencies and buckling loads has been investigated. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Applied and Computational Mathematics Springer Journals

Vibration and Stability Analysis of Functionally Graded Skew Plate Using Higher Order Shear Deformation Theory

Loading next page...
 
/lp/springer_journal/vibration-and-stability-analysis-of-functionally-graded-skew-plate-ALHHax1evT
Publisher
Springer India
Copyright
Copyright © 2017 by Springer (India) Private Ltd., part of Springer Nature
Subject
Mathematics; Applications of Mathematics; Mathematical Modeling and Industrial Mathematics; Operations Research/Decision Theory; Theoretical, Mathematical and Computational Physics; Computational Science and Engineering; Nuclear Energy
ISSN
2349-5103
eISSN
2199-5796
D.O.I.
10.1007/s40819-017-0440-3
Publisher site
See Article on Publisher Site

References

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 12 million articles from more than
10,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Unlimited reading

Read as many articles as you need. Full articles with original layout, charts and figures. Read online, from anywhere.

Stay up to date

Keep up with your field with Personalized Recommendations and Follow Journals to get automatic updates.

Organize your research

It’s easy to organize your research with our built-in tools.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

Monthly Plan

  • Read unlimited articles
  • Personalized recommendations
  • No expiration
  • Print 20 pages per month
  • 20% off on PDF purchases
  • Organize your research
  • Get updates on your journals and topic searches

$49/month

Start Free Trial

14-day Free Trial

Best Deal — 39% off

Annual Plan

  • All the features of the Professional Plan, but for 39% off!
  • Billed annually
  • No expiration
  • For the normal price of 10 articles elsewhere, you get one full year of unlimited access to articles.

$588

$360/year

billed annually
Start Free Trial

14-day Free Trial