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All Journal Annals of Mathematical Modeling Annals of Mathematical Modeling
Mohd Zuki Salleh
Universiti Malaysia Pahang
Computer Science & IT Mathematics

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A review on the fluid structure interaction of circular plates using numerical methods Anju V Nair; Abdul Rahman Mohd Kasim; Mohd Zuki Salleh
Annals of Mathematical Modeling Vol 2, No 2 (2020)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33292/amm.v2i2.89

Abstract

Fluid structure interaction is a nonlinear multi physics phenomenon that have wide range of applications in science and engineering fields. This article presents the development of numerical methods to solve the fluid structure interaction problem deals with the vibration analysis of plate structures in contact with fluid. The modeling of fluid and structure are essential to study the fluid structure interaction problems. The development of suitable mathematical models and their validation are discussed herewith.
A productive exposition for the thermal post buckling problem of orthotropic circular plates by using relevant admissible function for lateral displacement Anju V Nair; Abdul Rahman Mohd Kasim; Mohd Zuki Salleh
Annals of Mathematical Modeling Vol. 1 No. 2 (2021)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (588.951 KB) | DOI: 10.33292/amm.v1i2.10

Abstract

A suitable mathematical formulation is used to study the thermal post buckling problem of orthotropic circular plates is presented herein. The total energy equation is reduced by assuming algebraic function for lateral displacement w. The radial tension per unit length is calculated by substituting the value of orthotropic parameter under simply supported and clamped boundary conditions. The thermal post buckling load carrying capacity of the plate is evaluated using integrated average for various values of orthotropic parameter β, and the numerical results obtained from the present investigation are compared with the results obtained from the known literatures. The results obtained for both cases are concurs well with reference values and the numerical results using integrated average shows more accurate values for the post buckling load.
Co-Authors Abdul Rahman Mohd Kasim Abdul Rahman Mohd Kasim Anju V Nair Anju V Nair