Displaying similar documents to “Vibration analysis of FG cylindrical shells with power-law index using discrete singular convolution technique”

Geometric nonlinear free vibration of axially functionally graded non-uniform beams supported on elastic foundation

Hareram Lohar, Anirban Mitra, Sarmila Sahoo (2016)

Curved and Layered Structures

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In the present study non-linear free vibration analysis is performed on a tapered Axially Functionally Graded (AFG) beam resting on an elastic foundation with different boundary conditions. Firstly the static problem is carried out through an iterative scheme using a relaxation parameter and later on the subsequent dynamic problem is solved as a standard eigen value problem. Minimum potential energy principle is used for the formulation of the static problem whereas for the dynamic problem...

Free vibration analysis of annular sector plates via conical shell equations

Çiğdem Demir, Hakan Ersoy, Kadir Mercan, Ömer Civalek (2017)

Curved and Layered Structures

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In this paper, free vibration analysis of annular sector plates has been presented via conical shell equations. By using the first-order shear deformation theory (FSDT) equation of motion of conical shell is obtained. The method of discrete singular convolution (DSC) and method differential quadrature (DQ) are used for solution of the vibration problem of annular plates for some special value of semi-vertex angle via conical shell equation. The obtained numerical results based on the...

Free vibration of functionally graded parabolic and circular panels with general boundary conditions

Hong Zhang, Dongyan Shi, Qingshan Wang, Bin Qin (2017)

Curved and Layered Structures

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The purpose of this content is to investigate the free vibration of functionally graded parabolic and circular panels with general boundary conditions by using the Fourier-Ritz method. The first-order shear deformation theory is adopted to consider the effects of the transverse shear and rotary inertia of the panel structures. The functionally graded panel structures consist of ceramic and metal which are assumed to vary continuously through the thickness according to the power-law distribution,...

The ℤ₂-graded sticky shuffle product Hopf algebra

Robin L. Hudson (2006)

Banach Center Publications

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By abstracting the multiplication rule for ℤ₂-graded quantum stochastic integrals, we construct a ℤ₂-graded version of the Itô Hopf algebra, based on the space of tensors over a ℤ₂-graded associative algebra. Grouplike elements of the corresponding algebra of formal power series are characterised.