Analyses of stiffened plates resting on the viscoelastic foundation subjected to a moving vehicle by a cell-based smoothed triangular plate element

Recently, a cell-based smoothed discrete shear gap method (CS-FEM-DSG3) based on the firstorder shear deformation theory (FSDT) was proposed for static and free vibration analyses of Mindlin plates. The CS-FEM-DSG3 uses three-node triangular elements that can be easily generated automatically for arbitrary complicated geometric domains. This paper further extends the CS-FEMDSG3 for static, free vibration, and dynamic response of the stiffened plate resting on viscoelastic foundation subjected to a moving vehicle. The viscoelastic foundation is modeled by discrete springs and dampers whereas the stiffened plate can be considered as the combination between the Mindlin plate and the Timoshenko beam elements. The moving vehicle is transformed into one concentrated load at its central point. Some numerical examples are investigated and numerical results show that the CS-FEMDSG3 overcomes shear-locking phenomena and has a fast convergence. The results also illustrate the good agreement of the CS-FEM-DSG3 for static and free vibration analyses of un-stiffened plate compared with the previous published methods. In addition, the numerical results for dynamic analysis of stiffened plates by the CS-FEM-DSG3 also show the expected property in which the deflection of the stiffened plate is much smaller than those of the un-stiffened plate

Application de l'effet Raman à l'étude des acides résiniques

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KHẢO ĐỐI LIÊN VĂN BẢN TRUYỆN TỪ ĐẠO HẠNH HAY LÀ SỰ TÍCH THÁNH LÁNG TRONG KHO TÀNG TRUYỆN CỔ TÍCH VIỆT NAM VỚI CÁC TÀI LIỆU THAM KHẢO LIÊN QUAN

This article presents the results of a comparison between “Tale of Lang Lord,” which is printed in “Treasure Chest of Vietnamese Folklore”, and the documents that Nguyen Dong Chi consulted. This method not only puts the story back in an extensive cultural background but also helps us discover the actual meaning of the author’s work titled “Collecting Folk Tales.”Chỉ dẫn tài liệu tham khảo liên quan thiên truyện Từ Đạo Hạnh hay là sự tích Thánh Láng (ở phần “Khảo dị” dưới truyện và “Tài liệu tham khảo” cuối sách Kho tàng truyện cổ tích Việt Nam) gợi ý cách đọc thiên truyện trong thế liên văn bản với chính các tài liệu đó. Cách đọc đó khiến cho thiên truyện được đặt lại trên một phông nền văn hóa rộng rãi, đồng thời cũng giúp ta phán đoán được nội dung thực sự của công việc quen gọi là sưu biên cho thấy tình thế chuyện kể dân gian sau cùng cũng đã được “định hình văn tự” lại thành truyện đọc như thế nào

An edge-based smoothed finite element method (ES-FEM) for dynamic analysis of 2D fluid-solid interaction problems

The paper presents an extension of the Edge-based Smoothed Finite Element Method (ES-FEM-T3) using triangular elements for the dynamic response analysis of two-dimension fluid-solid interaction problems based on the pressure-displacement formulation. In the proposed method, both the displacement in the solid domain and the pressure in the fluid domain are smoothed by the gradient smoothing technique based on the smoothing domains associated with the edges of the triangular elements. Thanks to the softening effect of the gradient smoothing technique used in the ES-FEM-T3, the numerical solutions for the coupled systems by the ES-FEMT3 are improved significantly compared to those by some other existing FEM methods

An application of the ES-FEM in solid domain for dynamic analysis of 2D fluid-solid interaction problems

An edge-based smoothed finite element method (ES-FEM-T3) using triangular elements was recently proposed to improve the accuracy and convergence rate of the existing standard finite element method (FEM) for the solid mechanics analyses. In this paper, the ES-FEM-T3 is further extended to the dynamic analysis of 2D fluid-solid interaction problems based on the pressure-displacement formulation. In the present coupled method, both solid and fluid domain is discretized by triangular elements. In the fluid domain, the standard FEM is used, while in the solid domain, we use the ES-FEM-T3 in which the gradient smoothing technique based on the smoothing domains associated with the edges of triangles is used to smooth the gradient of displacement. This gradient smoothing technique can provide proper softening effect, and thus improve significantly the solution of coupled system. Some numerical examples have been presented to illustrate the effectiveness of the proposed coupled method compared with some existing methods for 2D fluid-solid interaction problems

Static and free vibration analyses and dynamic control of composite plates integrated with piezoelectric sensors and actuators by the cell-based smoothed discrete shear gap method (CS-FEM-DSG3)

The cell-based smoothed discrete shear gap method (CS-FEM-DSG3) using three-node triangular elements was recently proposed to improve the performance of the discrete shear gap method (DSG3) for static and free vibration analyses of isotropic Mindlin plates. In this paper, the CS-FEM-DSG3 is further extended for static and free vibration analyses and dynamic control of composite plates integrated with piezoelectric sensors and actuators. In the piezoelectric composite plates, the electric potential is assumed to be a linear function through the thickness of each piezoelectric sublayer. A displacement and velocity feedback control algorithm is used for active control of the static deflection and the dynamic response of the plates through closed loop control with bonded or embedded distributed piezoelectric sensors and actuators. The accuracy and reliability of the proposed method is verified by comparing its numerical solutions with those of other available numerical results

An application of the ES-FEM in solid domain for dynamic analysis of 2D fluid-solid interaction problems

An application of the ES-FEM in solid domain for dynamic analysis of 2D fluid-solid interaction problem

Free and forced vibration analysis using the n-sided polygonal cell-based smoothed finite element method (nCS-FEM)

A n-sided polygonal cell-based smoothed finite element method (nCS-FEM) was recently proposed to analyze the elastic solid mechanics problems, in which the problem domain can be discretized by a set of polygons with an arbitrary number of sides. In this paper, the nCS-FEM is further extended to the free and forced vibration analyses of two-dimensional (2D) dynamic problems. A simple lump mass matrix is proposed and hence the complicated integrations related to computing the consistent mass matrix can be avoided in the nCS-FEM. Several numerical examples are investigated and the results found of the nCS-FEM agree well with exact solutions and with those of others FEM

Free and forced vibration analysis using the n-sided polygonal cell-based smoothed finite element method (nCS-FEM)

Free and forced vibration analysis using the n-sided polygonal cell-based smoothed finite element method (nCS-FEM