DYNAMIC ANALYSIS OF STEPPED COMPOSITE CYLINDRICAL SHELLS RESTING ON PASTERNAK ELASTIC FOUNDATION BASED ON CONTINUOUS ELEMENT METHOD

The buried pipelines or vessels and other similar structures made of homogeneous or advanced composite materials are commonly used in civil engineering and biotechnology. The radial stability problem of these structures was widely studied using the cylindrical shell model over the past years. In this paper, the linear stability of cylindrical shells resting on Winkler elastic foundation under uniformly distributed external pressure was analyzed with semi-analytical quadrature element method (QEM). As for the longitudinal direction, the radial deflection of shell was approximated by the quadrature element formulation. While the analytic trigonometric function was adopted for description of radial deflection in circumferential direction. The Numerical results of critical buckling load were compared with the semi-analytical FEM. It is found that the semi-analytical QEM possesses higher computational efficiency and applicability than semi-analytical FEM. Then, the effects of the shell length, radius, and thickness on the critical buckling pressures are systematically investigated through the parametric studies.

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Calculation of the goffered multilayered composite cylindrical shells by using the finite element method

Vietnam Journal of Mechanics ◽

10.15625/0866-7136/9992 ◽

1999 ◽

Vol 21 (2) ◽

pp. 116-128

Author(s):

Pham Thi Toan

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boundary Conditions ◽

Cylindrical Shells ◽

The Finite Element Method ◽

Multilayered Composite ◽

Internal Forces ◽

External Loads ◽

Element Method ◽

Composite Cylindrical Shells

In the present paper, the goffered multilayered composite cylindrical shells is directly calculated by finite element method. Numerical results on displacements, internal forces and moments are obtained for various kinds of external loads and different boundary conditions.

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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

Shock and Vibration ◽

10.1155/2020/8853920 ◽

2020 ◽

Vol 2020 ◽

pp. 1-19

Author(s):

Trung Thanh Tran ◽

Quoc-Hoa Pham ◽

Trung Nguyen-Thoi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Dynamic Analysis ◽

Elastic Foundation ◽

Functionally Graded ◽

Triangular Element ◽

Moving Loads ◽

Smoothed Finite Element Method ◽

Edge Based ◽

Element Method

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.

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