Analyses of Stiffened Plates Resting on Viscoelastic Foundation Subjected to a Moving Load by a Cell-Based Smoothed Triangular Plate Element

2017 ◽  
Vol 17 (01) ◽  
pp. 1750011 ◽  
Author(s):  
H. Dang-Trung ◽  
H. Luong-Van ◽  
T. Nguyen-Thoi ◽  
K. K. Ang
Keyword(s):  
Moving Load ◽  
Shear Deformation Theory ◽  
Dynamic Responses ◽  
Mindlin Plate ◽  
Stiffened Plates ◽  
Viscoelastic Foundation ◽  
Plate Element ◽  
Stiffened Plate ◽  
Numerical Examples ◽  
A Cell

A cell-based smoothed three-node Mindlin plate element (CS-MIN3) based on the first-order shear deformation theory (FSDT) was recently proposed for static and dynamic analyses of Mindlin plates. The CS-MIN3 overcomes shear-locking phenomena and has a faster convergence compared with the original MIN3. In addition, the CS-MIN3 uses only three-node triangular elements that can be easily generated automatically for arbitrary complicated geometric domains. This paper extends the CS-MIN3 by integrating itself with the Timoshenko beam element to give a new stiffened plate element for static, free vibration and dynamic responses of stiffened plates resting on viscoelastic foundation subjected to a moving load. The viscoelastic foundation is modeled by discrete springs and dampers, and the displacement compatible condition between the plate and the stiffener is imposed. Some benchmark numerical examples were performed to illustrate the good agreement of the CS-MIN3 results with those by other methods in the literature to illustrate its accuracy and reliability. In addition, some new numerical examples that consider the effects of stiffeners on the behaviors of plate resting on viscoelastic foundation are conducted. The results demonstrate the expected properties in which the deflection of the stiffened plate resting on viscoelastic foundation can be reduced significantly.

Dynamic analysis of Mindlin plates on viscoelastic foundations under a moving vehicle by CS-MIN3 based on C0-type higher-order shear deformation theory

2014 ◽  
Vol 36 (1) ◽  
pp. 61-75 ◽  
Author(s):  
Nguyen Thoi Trung ◽  
Phung Van Phuc ◽  
Tran Viet Anh ◽  
Nguyen Tran Chan
Keyword(s):  
Shear Deformation ◽  
Deformation Theory ◽  
Numerical Solutions ◽  
Shear Deformation Theory ◽  
Higher Order ◽  
Mindlin Plate ◽  
Viscoelastic Foundation ◽  
Plate Element ◽  
Moving Vehicle ◽  
Dynamic Analyses

A cell-based smoothed three-node Mindlin plate element (CS-MIN3) based on the first-order shear deformation theory (FSDT) was recently proposed to improve the performance of the existing three-node Mindlin plate element (MIN3) for static and dynamic analyses of Mindlin plates. In this paper, the CS-MIN3 is extended to the C0-type higher-order shear deformation plate theory (C0-HSDT) and incorporated with damping-spring systems for dynamic analyses of Mindlin plates on the viscoelastic foundation subjected to a moving vehicle. The plate-foundation system is modeled as a discretization of triangular plate elements supported by discrete springs and dashpots at the nodal points representing the viscoelastic foundation. A two-step process for transforming the weight of a four-wheel vehicle into loads at nodes of elements is presented. The accuracy and reliability of the proposed method is verified by comparing its numerical solutions with those of others available numerical results. A parametric examination is also conducted to determine the effects of various parameters on the dynamic response of the plates on the viscoelastic foundation subjected to the moving vehicle.

Static analysis of corrugated panels using homogenization models and a cell-based smoothed mindlin plate element (CS-MIN3)

2018 ◽  
Vol 13 (2) ◽  
pp. 251-272 ◽  
Author(s):  
Nhan Nguyen-Minh ◽  
Nha Tran-Van ◽  
Thang Bui-Xuan ◽  
Trung Nguyen-Thoi
Keyword(s):  
Static Analysis ◽  
Mindlin Plate ◽  
Plate Element ◽  
A Cell

An Extended Cell-Based Smoothed Three-Node Mindlin Plate Element (XCS-MIN3) for Free Vibration Analysis of Cracked FGM Plates

2017 ◽  
Vol 14 (02) ◽  
pp. 1750011 ◽  
Author(s):  
T. Nguyen-Thoi ◽  
T. Rabczuk ◽  
V. Ho-Huu ◽  
L. Le-Anh ◽  
H. Dang-Trung ◽  
...  
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Free Vibration Analysis ◽  
Functionally Graded ◽  
Mindlin Plate ◽  
Plate Element ◽  
Softening Effect ◽  
Strain Smoothing ◽  
Graded Material ◽  
A Cell

A cell-based smoothed three-node Mindlin plate element (CS-MIN3) was recently proposed and proven to be robust for static and free vibration analyses of Mindlin plates. The method improves significantly the accuracy of the solution due to softening effect of the cell-based strain smoothing technique. In addition, it is very flexible to apply for arbitrary complicated geometric domains due to using only three-node triangular elements which can be easily generated automatically. However so far, the CS-MIN3 has been only developed for isotropic material and for analyzing intact structures without possessing internal cracks. The paper hence tries to extend the CS-MIN3 by integrating itself with functionally graded material (FGM) and enriched functions of the extended finite element method (XFEM) to give a so-called extended cell-based smoothed three-node Mindlin plate (XCS-MIN3) for free vibration analysis of cracked FGM plates. Three numerical examples with different conditions are solved and compared with previous published results to illustrate the accuracy and reliability of the XCS-MIN3 for free vibration analysis of cracked FGM plates.

Finite Element Analysis of an Infinite Beam on a Viscoelastic Foundation Subjected to a Moving Vehicle

2017 ◽  
Vol 17 (04) ◽  
pp. 1750045 ◽  
Author(s):  
Shih-Hsun Yin ◽  
Yeong-Bin Yang
Keyword(s):  
Finite Element ◽  
Moving Load ◽  
Initial Response ◽  
Dynamic Responses ◽  
Viscoelastic Foundation ◽  
Element Analysis ◽  
Infinite Beam ◽  
Moving Vehicle ◽  
Infinite Element ◽  
Stiffness Loss

The objective of this paper is to develop a finite element modeling procedure that is accurate for tackling vehicle–track interaction problems. This procedure enables us to compute the transient response of the vehicle when it accelerates over the track from rest and to investigate the applicability of using the vehicle response for identifying the foundation stiffness variation of railway tracks. To this end, a left half-infinite element, a general element subjected to a moving vehicle, other general elements under no vehicle, and a right half-infinite element were assembled to simulate an infinite beam on a viscoelastic foundation subjected to a moving vehicle. The system governing equations were solved by the Newmark average acceleration method to obtain the responses of rail and vehicle. First, a proper model discretization was investigated by comparing finite element results with available analytical solutions to constantly moving load, mass, or vehicle problems. Next, the dynamic response of the vehicle was explored when the vehicle accelerated from rest along the track. It was found that the initial response of the vehicle was influenced by boundary conditions in the model where the vehicle started to accelerate. Finally, the dynamic responses of the vehicle passing a healthy track and damaged tracks where foundation stiffness loss occurs were simulated. The results showed that the changes in the acceleration response of the unsprung mass of the vehicle due to the foundation stiffness loss can be used as an effective indicator for detecting the damage location, level and extent.

scholarly journals An effective algorithm for reliability-based optimization of stiffened Mindlin plate

2013 ◽  
Vol 35 (4) ◽  
pp. 335-346
Author(s):  
Nguyen Thoi Trung ◽  
Bui Xuan Thang ◽  
Ho Huu Vinh ◽  
Lam Phat Thuan ◽  
Ngo Thanh Phong
Keyword(s):  
Vibration Frequency ◽  
Optimization Problem ◽  
Random Variables ◽  
Mindlin Plate ◽  
Stiffened Plates ◽  
State Function ◽  
Stiffened Plate ◽  
Reliability Method ◽  
Numerical Computing ◽  
Reliability Based Optimization

Nowadays, stiffened plates have been widely used in many branches of structural engineering such as aircraft, ships, bridges, buildings etc... In comparison with common bending plate structures, stiffened plates not only have larger bending stiffness but also use less amount of material. Hence, it usually has higher economic efficiency. However, to obtain high effectiveness in solving the design problems of the stiffened plate, the reliability-based optimization problems need to be established together with the ordinary numerical computing methods. Therefore, the paper presents an approach to establish and solve the reliability-based optimization problem for the stiffened Mindlin plate. To analyze the behavior of Mindlin plate, we use the recently proposed CS-DSG3 element. The random variables are chosen to be elastic modulus, density of mass and external force. The design variables are the thickness, the width and the height of the stiffened plate. The objective function can be the strain energy or the mass of the structure and subjected to the constraints of displacement or vibration frequency. The reliability-based optimization algorithm used in this paper is a three-step closed loop: 1) Estimating the random variables by the Reliability Index (RI) method; 2) Solving the optimization problem using Sequential Quadratic Programming (SQP) method; 3) Checking and estimating the reliability by the first-order reliability method (FORM) in which the limit state function is the limit of displacement or vibration frequency of the structure.

Static and Dynamic Analyses of Mindlin Plates Resting on Viscoelastic Foundation by Using Moving Element Method

2018 ◽  
Vol 18 (11) ◽  
pp. 1850131 ◽  
Author(s):  
Van Hai Luong ◽  
Tan Ngoc Than Cao ◽  
J. N. Reddy ◽  
Kok Keng Ang ◽  
Minh Thi Tran ◽  
...  
Keyword(s):  
Dynamic Response ◽  
Moving Load ◽  
Computational Approach ◽  
Mindlin Plate ◽  
Viscoelastic Foundation ◽  
Moving Loads ◽  
Contact Points ◽  
Stiffness Matrices ◽  
Moving Vehicles ◽  
Element Method

Presented herein is a novel computational approach using the moving element method (MEM) for simulating the dynamic response of Mindlin plate resting on a viscoelastic foundation and subjected to moving loads. The governing equations and the element mass, damping and stiffness matrices are formulated in a convected coordinate system in which the origin is attached to the point of the moving applied load. Thus, the method simply treats moving loads as ‘stationary’ at the nodes of the plate to avoid updating the locations of moving loads due to the change of the contact points on the plate. To verify the accuracy of the proposed computational approach, static and free vibration analyses of plates are investigated first. Next, the dynamic response of plate resting on a viscoelastic foundation subjected to a moving load is examined. A parametric study is performed to determine the effects of the load’s velocity, foundation damping and foundation stiffness on the dynamic response of a plate. Finally, the comparisons of the dynamic response of plates resting on viscoelastic foundation and subjected to moving vehicles with three models of load (single-wheel, single-axle and tandem-axle) are discussed.

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