Summed and Differential Harmonic Oscillations in a Circular Plate

Buckling and Vibration Analysis of Tapered Circular Nano Plate

In this paper, buckling and free vibration analysis of a circular tapered nanoplate subjected to in-plane forces were studied. The linear variation of the plate thickness was considered in radial direction. Nonlocal elasticity theory was employed to capture size-dependent effects. The Raleigh-Ritz method and differential transform method were utilized to obtain the frequency equations for simpl...

On detecting harmonic oscillations

In this paper, we focus on the following testing problem: assume that we are given observations of a real-valued signal along the grid 0, 1, ..., N − 1, corrupted by white Gaussian noise. We want to distinguish between two hypotheses: (a) the signal is a nuisance – a linear combination of dn harmonic oscillations of known frequencies, and (b): signal is the sum of a nuisance and a linear combin...

Chaotic motion of a bimetallic circular plate

Considering the effect of geometric nonlinearity and uniformly distributed time-varying temperature, the bifurcation behaviors and chaotic phenomena of a bimetallic thin circular plate are investigated. First of all, the nonlinear dynamic equation for bimetallic plate is established and further reduced to Duffing equation of harmonic parametric excitation, from which the pitchfork bifurcation p...

The Buckling of a Prestressed Circular Plate*

Finite Plate with Circular and Square Hole under Partial Loading

In this paper a general analytical solution is obtained to find stress distribution in a finite elastic plate with a circular or square hole subjected to arbitrary biaxial partial loading using modified boundary condition by assuming plane stress conditions. The method employed is based on solution of circular hole in finite rectangular plate. This plate is mapped to circular ones and the parti...