Jingtao Du

TL;DR: In this paper, the displacement solution is expressed as a two-dimensional Fourier series supplemented with several one-dimensional series, which is capable of representing any function (including the exact displacement solution) whose third-order partial derivatives are (required to be) continuous over the area of the plate.

TL;DR: In this article, the in-plane vibration problem of a rectangular plate with elastically restrained edges is solved using an improved Fourier series method in which the inplane displacements are expressed as the superposition of a double Fourier cosine series and four supplementary functions in the form of the product of a polynomial function and a single cosine-series expansion.

TL;DR: In this paper, an analytical method is derived for determining the vibrations of two plates which are generally supported along the boundary edges, and elastically coupled together at an arbitrary angle by four types of coupling springs of arbitrary stiffnesses.

TL;DR: In this article, the authors present an analytical method for the vibration analysis of plates reinforced by any number of beams of arbitrary lengths and placement angles, and demonstrate the effect on modal parameters for a stiffened plate with various boundary conditions, coupling conditions, and reinforcement configurations.

TL;DR: In this paper, the vibration behaviors of a box-type built-up structure and energy transmission through the structure are investigated analytically, and the results of the power flow and structural intensity are presented to obtain a clear physical understanding of the physical mechanisms of energy transmission.