Abstract
Mathematical model to account for non-homogeneity of plate material is designed, keeping in mind all the physical aspects, and analyzed by applying quintic spline technique for the first time. This method has been applied earlier for other geometry of plates which shows its utility. Accuracy and versatility of the technique are established by comparing with the well-known existing results. Effect of quadratic thickness variation, an exponential variation of non-homogeneity in the radial direction, and variation in density; for the three different outer edge conditions namely clamped, simply supported and free have been computed using MATLAB for the first three modes of vibration. For all the three edge conditions, normalized transverse displacements for a specific plate have been presented which shows the shiftness of nodal radii with the effect of taperness.
Acknowledgements
The authors are deeply grateful to the referees whose thorough reviews and precise comments were very helpful in the revision of the original manuscript of the present paper.
References
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Articles in the same Issue
- Frontmatter
- Estimates for a beam-like partial differential operator and applications
- Stabilization of polynomial systems in ℝ3 via homogeneous feedback
- Analyzing the existence of solution of a fractional order integral equation: A fixed point approach
- Existence of solution to a nonlocal biharmonic problem with dependence on gradient and Laplacian
- Global existence and exponential decay for a viscoelastic equation with not necessarily decreasing kernel
- Solving fractal differential equations via fractal Laplace transforms
- Minimum energy control of degenerate Cauchy problem with skew-Hermitian pencil
- Splines in vibration analysis of non-homogeneous circular plates of quadratic thickness
- The weak eigenfunctions of boundary-value problem with symmetric discontinuities
- Some subclasses of analytic functions involving certain integral operator
- Relation theoretic contractions and their applications in b-metric like spaces
- A new conservative finite difference scheme for 1D Cahn–Hilliard equation coupled with elasticity
- An improved proximal method with quasi-distance for nonconvex multiobjective optimization problem
Articles in the same Issue
- Frontmatter
- Estimates for a beam-like partial differential operator and applications
- Stabilization of polynomial systems in ℝ3 via homogeneous feedback
- Analyzing the existence of solution of a fractional order integral equation: A fixed point approach
- Existence of solution to a nonlocal biharmonic problem with dependence on gradient and Laplacian
- Global existence and exponential decay for a viscoelastic equation with not necessarily decreasing kernel
- Solving fractal differential equations via fractal Laplace transforms
- Minimum energy control of degenerate Cauchy problem with skew-Hermitian pencil
- Splines in vibration analysis of non-homogeneous circular plates of quadratic thickness
- The weak eigenfunctions of boundary-value problem with symmetric discontinuities
- Some subclasses of analytic functions involving certain integral operator
- Relation theoretic contractions and their applications in b-metric like spaces
- A new conservative finite difference scheme for 1D Cahn–Hilliard equation coupled with elasticity
- An improved proximal method with quasi-distance for nonconvex multiobjective optimization problem