...Kang Lu; Zheng Zeng; Xiong Xiong; Xuefeng Wang; Xudong Gu; Rongchun Hu; Zichen Deng In this study, a data-driven approach using the embedded variational principle is used to identify the variational equations of vortex-induced vibration fluid–structure interaction systems, in particular...

...—with rigorous mathematical arguments—that the solutions under the double porosity/permeability model satisfy in the transient regime: backward-in-time uniqueness, reciprocity, and a variational principle. We employ the “energy method”—exploiting the physical total kinetic energy of the flowing fluid...

... coupling model for mechanical deformations of the microbeams immobilized single-stranded DNA (ssDNA) is established due to flexoelectricity. The governing equations and corresponding boundary conditions of ssDNA microbeams are derived by using the variational principle. The bending deformations of ssDNA...

... 2012 The theoretical investigation of the size dependent behavior of a Bernoulli–Euler dielectric nanobeam based on the strain gradient elasticity theory is presented in this paper. The variational principle is utilized to derive the governing equations and boundary conditions, in which...

... representation of the local displacement field. The exterior unit cell periodic boundary-value problem is tackled by using a new variational principle for this class of nonseparable elasticity problems, which leads to exceptionally fast and well-behaved convergence of the Fourier series coefficients. Closed-form...