This paper presents the bending analysis of annular plates by the indirect Trefftz boundary approach. The formulation for thin and thick plates is based on the Kirchhoff plate theory and the Reissner plate theory. The governing equations are therefore a fourth-order boundary value problem and a sixth-order boundary value problem, respectively. The Trefftz method employs the complete set of solu...

This paper focuses on the development of a method for accurate representation strong structural–acoustic coupling between an elastic Helmholtz resonator, heavy fluid and impedance tube. The resonator has wall is connected to tube, yielding system with two acoustic cavities coupled through neck fluid–structure interaction liquid medium plate. proposed analytical formulation based modal superposi...

The capacitance of the circular parallel plate capacitor is calculated by expanding the solution to the Love integral equation into a Fourier cosine series. Previously, this kind of expansion has been carried out numerically, resulting in accuracy problems at small plate separations. We show that this bottleneck can be alleviated, by calculating all expansion integrals analytically in terms of ...

Abstract The virtual element method allows to revisit the construction of Kirchhoff-Love elements because $$C^1$$ C 1 -continuity condition is much easier handle in VEM framework than traditional Finite Elements methodology. Here we study two most simple suitable for pl...

The transient response of a flat circular plate to a sudden impact has been studied experimentally and theoretically. High-speed electronic speckle pattern interferometry reveals the presence of pulses that travel around the edge of the plate ahead of the bending motion initiated by the strike. It is found that the transient motion of the plate is well described by Kirchhoff thin-plate theory o...

Fastening failures have frequently been found on China high-speed railway curved tracks in recent years. Thus the influence of fastening train-track interaction track needs to be analyzed. A train-curved slab model is built, which real shape rail considered and modeled with reduced beam (RBM) theory, slabs are four-nodes Kirchhoff-Love plate elements. The present validated at first different tr...

We observe a dramatic lack of robustness the DPG method when solving problems on large domains and where stability is based Poincaré-type inequality. show how can be re-established by using appropriately scaled test norms. As model cases we study Poisson problem Kirchhoff–Love plate bending model, also include fully discrete variants optimal functions are approximated. Numerical experiments for...

It is our belief that a thorough understanding of the mathematical underpinnings of elasticity is crucial to its analytical and numerical implementation. For example, in the analysis of rotating structures, the coupling of the equations for geometrically inexact models, obtained by linearization or other approximations, with those for rotating rigid bodies can easily lead to misleading artifici...