Parametric resonance has been well established in many areas of science, including the stability of ships, the forced motion of a swing and Faraday surface wave patterns on water. We have previously investigated a linear parametrically driven torsional oscillator and along with other groups have mentioned applications including mass sensing, parametric amplification, and others. Here, we thorou...

BACKGROUND Dynamic positron emission tomography studies produce a large amount of image data, from which clinically useful parametric information can be extracted using tracer kinetic methods. Data reduction methods can facilitate the initial interpretation and visual analysis of these large image sequences and at the same time can preserve important information and allow for basic feature char...

Given a set of N such shape samples {s, . . . , s}, a parametric statistical subspace of the object’s shape variance can be retrieved by first applying Generalised Procrustes Analysis on the shapes to normalise them with respect to the global similarity transform (i.e., scale, in-plane rotation and translation) and then using Principal Component Analysis (PCA). The returned shape subspace is fu...

Principal component analysis (PCA), which is widely used in process monitoring, performs best when the system variables are linearly correlated. However, in practice, the variables are often nonlinearly related, and may be subject to periodic forcing or disturbances, which compromise the performance of conventional PCA. In model-based PCA (MBPCA), multivariate statistics are used to analyze the...

The nonlinear vibration behaviors of stiffened cylindrical shells under electromagnetic excitations, transverse and in-plane excitations are studied for the first time in this paper. Given first-order shear deformation theory Hamilton principle, partial differential governing equations motion derived with considering von Karman geometric nonlinearity. By employing Galerkin discretization proced...