The present work is concerned with dynamic characteristics of beam-stiffened rectangular plate by an improved Fourier series method (IFSM), including mobility characteristics, structural intensity, and transient response. The artificial coupling spring technology is introduced to establish the clamped or elastic connections at the interface between the plate and beams. According to IFSM, the displacement field of the plate and the stiffening beams are expressed as a combination of the Fourier cosine series and its auxiliary functions. Then, the Rayleigh–Ritz method is applied to solve the unknown Fourier coefficients, which determines the dynamic characteristics of the coupled structure. The Newmark method is adopted to obtain the transient response of the coupled structure, where the Rayleigh damping is taken into consideration. The rapid convergence of the current method is shown, and good agreement between the predicted results and FEM results is also revealed. On this basis, the effects of the factors related to the stiffening beam (including the length, orientations, and arrangement spacing of beams) and elastic parameters, as well as damping coefficients on the dynamic characteristics of the stiffened plate are investigated.
A comparative study on performances of rod-baffle (RB) and segment-baffle (SB) heat exchangers was carried out by numerical simulations under the same conditions. The results show that the overall heat transfer efficiencies are similar in these two types of heat exchangers with the same heat transfer areas. But RB heat exchangers show more uniform and smooth fluid flow, as well as much lower pressure in the shell side compared to SB counterparts. These detailed characteristics of heat transfer and fluid flow evidence better performances in RB heat exchangers and also provide a deeper insight into design and optimization of shell-and-tube heat exchangers.
Solar flat-plate collector is an important component in solar-thermal system, and its optimization is critical for the efficiency of energy utilization. In this paper, a comparative study on the thermal performance of solar flat-plate collector was carried out by numerical simulation under the conditions of different thicknesses and materials of absorber plate. The results show that the increase of absorber plate thickness contributes to restraining convection loss. The collector efficiency levels off when the absorber plate thickness reaches a certain value. In considering thermal performance and production cost, aluminum is an optimal material for absorber plate.
Many numerical methods have been developed for in-plane vibration of orthotropic rectangular plates with various boundary conditions; however, the exact results for such structures with elastic boundary conditions are very scarce. Therefore, the object of this paper is to present an accurate solution for free in-plane vibration of orthotropic rectangular plates with various boundary conditions by the method of reverberation ray matrix (MRRM) and improved golden section search (IGSS) algorithm. The boundary condition studied in this paper is defined as that a set of opposite edges is with one kind of simply supported boundary conditions, while the other set is with any kind of classical and general elastic boundary conditions or their combination. Its accuracy, reliability, and efficiency are verified by some numerical examples where the results are compared with other exact solutions in the published literature and the FEA results based on the ABAQUS software. Finally, some new accurate results for free in-plane vibration of orthotropic rectangular plates with elastic boundary conditions are examined and further can be treated as the reference data for other approximate methods or accurate solutions.
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