Bending Levitation Control for Flexible Steel Plate

Stress boundary conditions for plate bending

The determination of the appropriate boundary conditions for a two-dimensional theory of elastic flat plates (and shells) consistent with the expected order of accuracy of the theory is both critical and challenging. The reciprocal theorem of elasticity will be applied in a novel way to obtain the appropriate stress boundary conditions for plate bending accurate to all order (with respect to th...

Mixed Rectangular Finite Elements for Plate Bending

The paper describes three different rectangular plate bending elements based on Reissner's type stationary variational principles. They differ in the number of dependent variables approximated independently and also in the number of nodes per element. The first element types treats the transverse deflection and the three moments as unknowns at each of the corner nodes; the second element type t...

Numerical Simulation of a Flexible Plate System for Vibration Control

This research presents an investigation into the numerical simulation of a flexible thin plate using Finite Difference (FD) and Finite Element (FE). Based on the FD method, an appropriate model of a thin plate was derived and its corresponding natural frequencies were estimated. Then, FE modeling of the plate system was implemented using the ANSYS software and the corresponding modes of vibrati...

Superconvergent eigenvalue bending plate element

Bending Models for Thin Flexible Objects

Textiles usually exhibit much larger resistance to in-plane deformation than to bending deformation. However, the latter essentially determines the formation of folds and wrinkles which in turn govern the overall appearance of the cloth. The resulting numerical problem is inherently stiff and hence susceptible to instability. This overview is devoted to a closer investigation of bending deforma...