... robotics, flexible electronics, and biomedical devices. It is significant to investigate the mechanical behaviors of hard-magnetic soft structures for their better applications. In this work, a hard-magnetic soft beam under an external magnetic field is theoretically modeled and the exact solutions for its...

... and the sound radiation. Fig. 6 Effects of electrical impedance on the sound power level of the transformer ( h m / h p  = 1). In summary, the sound radiation of a cylindrical piezoelectric power transformer with radial polarization is analyzed. Exact solutions were obtained for both...

...Q. S. Li This paper is concerned with buckling analysis of a nonuniform column with classical∕nonclassical boundary conditions and subjected to a concentrated axial force and distributed variable axial loading, namely, the generalized Euler’s problem. Exact solutions are derived for the buckling...

... of air (Pr=0.71) or water (Pr=7.0) flows. flow instability flow through porous media heating Laplace transforms natural convection porous materials free-convection flow oscillating plate thermal porous plate exact solution Free-convection flow is encountered in cooling of nuclear...

... instability exact solution A translating string with variable length is a prototypical model of translating media with variable length. Translating media with variable length can model such systems as elevator cables, crane and mine hoists, satellite tethers, robotic arms through prismatic joints...