For large beams complete solutions are exhibited. Finally, an optimum design problem is considered: for fixed beam length and end load find the angle of taper which minimizes the weight. The minimum is always achieved for a taper angle (top and bottom) between zero and fifteen degrees. ...
Bifurcations and Exact Solutions of a Cantilever Beam Vibration Model Without Damping and Forced Termsdoi:10.1142/S0218127424500391Jinsen ZhuangGuanrong ChenJibin LiWorld Scientific Publishing CompanyInternational Journal of Bifurcation and Chaos
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...
In addition, without an accurate theoretical solution, the piezoelectric cantilever beam size could only be decided by the combination of the theoretical solutions, due to the extra mass on the extension end of the base board. The self-frequency theoretical expression of piezoelectric bimorph ...
Free ends under concentrated force in functionally graded magneto-electro-elastic cantilever beam under bending problems of analytical solutions 翻译结果4复制译文编辑译文朗读译文返回顶部 free end of the concentration gradient features elastic cantilever beam bending magnet (Xinhua) -- The resolved the issue...
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...
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 ...
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...