Dynamic Analysis of Functionally Graded Porous Plates Resting on Elastic Foundation Taking into Mass subjected to Moving Loads Using an Edge-Based Smoothed Finite Element Method

Abstract

The paper presents the extension of an edge-based smoothed finite element method using three-node triangular elements for dynamic analysis of the functionally graded porous (FGP) plates subjected to moving loads resting on the elastic foundation taking into mass (EFTIM). In this study, the edge-based smoothed technique is integrated with the mixed interpolation of the tensorial component technique for the three-node triangular element (MITC3) to give so-called ES-MITC3, which helps improve significantly the accuracy for the standard MITC3 element. The EFTIM model is formed by adding a mass parameter of foundation into the Winkler–Pasternak foundation model. Two parameters of the FGP materials, the power-law index (k) and the maximum porosity distributions (Ω), take forms of cosine functions. Some numerical results of the proposed method are compared with those of published works to verify the accuracy and reliability. Furthermore, the effects of geometric parameters and materials on forced vibration of the FGP plates resting on the EFTIM are also studied in detail.

Phân tích động lực học dầm Timoshenko bằng vật liệu xốp (FGP) chịu tác dụng của tải trọng di động theo tiếp cận giải tích

“…Phạm Quốc Hòa và cs. [26] phân tích động tấm FGM có vi lỗ rỗng đặt trên nền đàn hồi chịu tác dụng của tải trọng di động bằng phương pháp PTHH trơn (Edge-Based Smoothed Finite Element Method). Gần đây, Nguyễn Sỹ Nam và Lê Ngọc Phương [27] xây dựng nghiệm giải tích phân tích đáp ứng động lực học của dầm Timoshenko chịu tải trọng di động.…”

Free vibration analysis of bio-inspired helicoid laminated composite plates

“…To cater to the problems posed by laminates, 38 functionally graded materials (FGM) were discovered, in which the material properties vary in the particular direction in a desired way. [39][40][41] Thus, a gradual change in the stiffness of the structure exists in FGMs compared to the laminates in which a sudden change in the stiffness occurs at the interfaces. 42,43 However, manufacturing of FGMs is a tedious task and requires skilled human efforts.…”

Investigation of free vibration of FGP plates partially supported by elastic foundation using Finite Element method

“…Zhou and coworkers [8] employed the Ritz method to study the dynamic response of rectangular thick plates while Ferreira et al [9] used radial basis functions for bending and vibration analysis of rectangular plates. In addition, valuable numerical results about mechanical analysis of structures lying on the elastic foundation can be found in [10][11][12]. Motaghian and partners [13] computed the free vibration of plates partially supported EF using the analytical solution.…”