Based on classical plate theory, standard and spectral finite element methods are extended for vibration and dynamic stability of axially moving thin plates subjected to in-plane forces. The formulation of the standard method earned through Hamilton’s principle is independent of element type. But for solving numerical examples, an isoparametric quadrilateral element is developed using Lagrange ...

S U M M A R Y One of the many problems in the study of plate-mantle coupling is the disparity between the theory of mantle dynamics-which involves continuum physics-and the theory of plate tectonics-which employs discontinuous plates. This discordance causes a variety of difficulties in geodynamic models, e.g. infinite tractions between the plates and mantle. As motions of the Earth’s surface d...

We have incorporated faults as plate margins into time-dependent mantle convection models by using a mixed Eulerian and Lagrangian finite element formulation. Plate margins in our models can migrate dynamically in response to variations in mantle buoyancy, and this enables us to study the dynamics of mantle and plates including changes in plate size. Convection models in a cylindrical geometry ...

In this paper, we prove that the inverse problems for 2D elasticity and for the thin plate with boundary data (finite or full measurements) are equivalent. Having proved this equivalence, we can solve inverse problems for the plate equation with boundary data by solving the corresponding inverse problems for 2D elasticity, and vice versa. For example, we can derive bounds on the volume fraction...

this article considers the seismic behavior of beam-to-column joints in steel frames for different bolt arrangements by using of finite element modeling. as the most important beam-to-column joint type, the beam-to-column joints with end-plate is chosen for the analysis. four different specimens have been analyzed. these models had some differences such as bolt arrangement and the presence or a...

This paper establishes a unified a posteriori error estimator for a large class of conforming finite element methods for the Reissner-Mindlin plate problem. The analysis is based on some assumption (H) on the consistency of the reduction integration to avoid shear locking. The reliable and efficient a posteriori error estimator is robust in the sense that the reliability and efficiency constant...

In this study, the analysis of transverse vibrations of rectangular plate with circular central hole with different boundary conditions is studied and the natural frequencies and natural modes of a rectangular plate with circular hole have been obtained. To solve the problem, it is necessary to use both Cartesian and polar coordinate system. The complexity of the method is to apply an appropria...

This study investigates natural frequency analysis of an FG composite rectangular plate partially contacting with a bounded fluid. The material properties are assumed to be varying continuously through the thickness direction according to a simple power law distribution in terms of volume fraction of material constituents. Wet dynamic transverse displacements of the plate are approximated by a ...

This paper reports on a sensor for monitoring bone plate strain in real time. The detected bone plate strain could be used for judging the healing state of fractures in patients. The sensor consists of a magnetoelastic material, which can be wirelessly connected and passively embedded. In order to verify the effectiveness of the sensor, a tibia-bone plate-screw (TBS) model was established using...

A detailed investigation of the turbulent boundary layer on a flat plate of finite aspect ratio at zero incidence has been made, incorporating measurements of mean velocity profiles and skin friction over one surface of the plate. Skin friction was measured using Prof. Preston's surface-tube technique with the N.P.L. calibration, and this is justified by comparison with the measured momentum de...