BOUNDARY-VALUE-PROBLEMSPOSITIVE SOLUTIONSTIME SCALESWe are concerned with the fourth-order nonuniform cantilever beam problemAnderson DRHoffacker JJournal of Mathematical Analysis and ApplicationsD. R. Anderson and J. Hoffacker, "Existence of solutions for a cantilever beam problem," Journal of ...
In this paper, an exact analytical solution is presented for a transversely isotropic functionally graded magneto-electro-elastic(FGMEE) cantilever beam, which is subjected to a uniform load on its upper surface, as well as the concentrated force and moment at the free end. This solution can be...
In this paper, we study this question for the case of non-linear vibrations of a cantilever beam excited harmonically at the unclamped end. We develop a non-linear one-degree-of-freedom beam model and show that the existence of a dynamical potential of beam vibrations can be guaranteed with...
Cite this chapter Carpinteri, A., Chiaia, B., Cornetti, P. (2003). Double-Cantilever Beam Test in Brittle Materials. In: Gdoutos, E.E., Rodopoulos, C.A., Yates, J.R. (eds) Problems of Fracture Mechanics and Fatigue. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2774...
The problem is treated as a plane stress case and described by Airy stress function. By using semi-inverse method, the elastic solutions for the beam are obtained, which can be easily degenerated into the ones for homogeneous beams. An example is finally presented to show the effect of non...
Boundary value problemsMonotone iterative methodPositive solutionsIn this paper, we study the existence of at least one positive solution to the fourth-order two-point boundary value problem (BVP) which models a cantilever beam equation, where one end is kept free. Here f∈C[0,1]×R+,R+, ...
Therefore, the bimorph can be discretized along the x-axis, and the deflection and rotation angles at both ends of the beam element can be selected as the generalized coordinates. The deflection is assumed to obtain the shape function matrix of the element, and the linear differential equations...
1. A method for fabricating a piezo thin-film diode (piezo-diode) cantilever microelectromechanical system (MEMS), the method comprising: providing a substrate; depositing thin-films overlying the substrate; forming a cantilever beam from the thin-films; and forming a diode embedded with the cant...
the symmetric and asymmetric Double Cantilever Beam (DCB), the End-Notched Flexure (ENF), the Crack Lap Shear (CLS), the Mixed-Mode Bending (MMB) [1], [2], [3], [4]. The experimental data are of extreme importance for practical delamination problems, a task that requires even more ...
The advantage of using YBa2Cu3O7 as sacrificial layer is the ease with which it can be etched in weak HNO3 solutions. In addition its perovskite-based structure allows the growth on its surface of epitaxial multi-layers of SrRuO3/BaTiO3/SrRuO3 and SrRuO3/BaTiO3/SrRuO3/SrTiO3 which can ...