Thermal effect on transverse vibrations of a nonhomogeneous rectangular thin plate subjected to a known temperature distribution

In this work, a model of thermoelasticity based upon the Kirchhoff–Love plate theory is constructed for studying the thermoelastic vibration of an arbitrary functionally graded rectangular thin plate subjected to a temperature distribution. The problem is solved in the context of the theory of dual-phase-lag of thermoelasticity. The plate is taken to be clamped on two opposite edges; one of those edges is subjected to a given temperature distribution, while the other is thermally insulated. The normal mode analysis is employed to find exact expressions for temperature, deflection, thermal stresses, and bending moments. As an illustrative example, the results were presented graphically for a plate made of a silicon material to show the consistency of the results.

Anti-Buckling Design of Rectangular Thin Plate Based on Local Surface Nanocrystallization

In this paper, a novel local surface nanocrystallization treatment is introduced to design the anti-buckling rectangular plate. The mechanical properties and critical buckling loads of the plates are greatly improved by the surface nanocrystallization technology. Several local nanocrystallization layouts, including the horizonal stripes distribution, the vertical stripes distribution and the spaced latticed blocks distribution, are designed and numerical simulations are carried out to evaluate the stability of the plates. Results show that the critical buckling load was significantly improved by the local nanocrystallization treatment. Among all the designs, the critical buckling loads for the vertical nanocrystallization layouts is the optimal one. And the technology can also be extended to the anti-buckling design of other structures.

Modelling Method of Dynamic Characteristics of Marine Thin-Walled Structure

Thin-walled structures are very popular in industries, especially in the field of shipbuilding. There are many types of equipment and structures of ships, which are made up of thin-walled structures such as hull, deck and superstructure. Therefore, the analysis and understanding of the static and dynamic characteristics of a thin-walled structure are very important. In this article, we focus on vibration analysis of a typical thin-walled structure-rectangular plate, a basic structure of the hull. Vibration analysis of a rectangular thin plate is conducted by two methods: numerical modelling method of the finite element on Patran-Nastran software platform and experimental method implemented in the laboratory of Gdynia Maritime University. Thin rectangular plate is fixed one end by four clamping plates and is modelled with finite elements and different meshing densities. The numerical model of thin rectangular plate is divided into four cases. Case 1, thin rectangular plate, and clamping plates are modelled with two-dimensional elements. Case 2, the rectangular thin plate is modelled with two-dimensional elements; the clamping plates are modelled with three-dimensional elements. Case 3, both the rectangular thin plate and clamping plates are modelled with three-dimensional elements. Case 4, the rectangular thin plate, and clamping plates are modelled with three-dimensional elements with larger mesh density to increase the accuracy of the calculation results. After that, the results of vibration analysis according to the numerical modelling method on Patran-Nastran software platform for these cases were compared with the measurement results. From there, assess the accuracy of analysis results of selected numerical model methods and the ability to widely apply this numerical model method to other marine structures.