Differential Quadrature Method for Dynamic behavior of Function Graded Materials pipe conveying fluid on visco-elastic foundation

2019 ◽  
Author(s):  
Eman R. B ◽  
Talib. Eh El ◽  
Sadiq . M.H
Keyword(s):  
Dynamic Behavior ◽  
Elastic Foundation ◽  
Differential Quadrature Method ◽  
Differential Quadrature ◽  
Pipe Conveying Fluid ◽  
Quadrature Method ◽  
Graded Materials ◽  
Conveying Fluid

scholarly journals Dynamic Analysis of Electrostatic Microactuators Using the Differential Quadrature Method

2011 ◽  
Vol 2011 ◽  
pp. 1-8 ◽  
Author(s):  
Ming-Hung Hsu
Keyword(s):  
Differential Equation ◽  
Dynamic Behavior ◽  
Differential Quadrature Method ◽  
Differential Quadrature ◽  
Quadrature Method ◽  
Electrostatic Actuator ◽  
Discrete Eigenvalue ◽  
Electrostatic Actuators ◽  
Finite Element Package ◽  
Length Width

This work studies the dynamic behavior of electrostatic actuators using finite-element package software (FEMLAB) and differential quadrature method. The differential quadrature technique is used to transform partial differential equations into a discrete eigenvalue problem. Numerical results indicate that length, width, and thickness significantly impact the frequencies of the electrostatic actuators. The thickness could not affect markedly the electrostatic actuator capacities. The effects of varying actuator length, width, and thickness on the dynamic behavior and actuator capacities in electrostatic actuator systems are investigated. The differential quadrature method is an efficient differential equation solver.

Dynamic Behavior of a Plate Under Air Blast Load Using Differential Quadrature Method

2007 ◽  
Author(s):  
Murat Tuna ◽  
Halit S. Turkmen
Keyword(s):  
Dynamic Behavior ◽  
Numerical Solutions ◽  
Differential Quadrature Method ◽  
Free Vibration Analysis ◽  
Differential Quadrature ◽  
Blast Load ◽  
Solution Technique ◽  
Design Decision ◽  
Quadrature Method ◽  
Air Blast

The effect of blast load on the plate and shell structures has an important role on design decision. Blast load experiments are usually difficult and expensive. Therefore, numerical studies have been done on the response of blast loaded structures. However, because of time dependency of the nature of the problem, numerical solutions take long time and need heavy computational effort. The differential quadrature method (DQM) is a numerical solution technique for the rapid solution of linear and non-linear partial differential equations. It has been successfully applied to many engineering problems. The method has especially found application widely in structural analysis such as static and free vibration analysis of beams and plates. The capability of the method to produce highly accurate solutions with minimal computational efforts makes it of current interest. In this paper, the dynamic behavior of isotropic and laminated composite plates under air blast load has been investigated using the differential quadrature method. The results are compared to the numerical and experimental results found in the literature.

Nonlinear vibration analysis of protein microtubules in cytosol conveying fluid based on nonlocal elasticity theory using differential quadrature method

2012 ◽  
Vol 227 (1) ◽  
pp. 137-145 ◽  
Author(s):  
A Ghorbanpour Arani ◽  
AA Shirali ◽  
M Noudeh Farahani ◽  
S Amir ◽  
A Loghman
Keyword(s):  
Size Effect ◽  
Nonlinear Vibration ◽  
Elasticity Theory ◽  
Nonlocal Elasticity ◽  
Differential Quadrature Method ◽  
Nonlocal Elasticity Theory ◽  
Differential Quadrature ◽  
Nonlinear Frequency ◽  
Quadrature Method ◽  
Conveying Fluid

In this article, nonlinear vibration of protein microtubules in cytosol with internal flow is studied. Based on the Euler–Bernoulli beam theory with von Kármán nonlinearity type and using Hamilton’s principle, the equations of motion for fluid-conveying microtubules are derived. The size effect is taken into account using Eringen’s nonlocal elasticity theory; moreover, the effect of an elastic surrounding filament network and the surface traction of cytosol are studied. The governing differential equations for vibration response of microtubules are solved using the differential quadrature method. The nonlinear frequency response of microtubules, considering the effect of microtubule properties, size effect, the surrounding elastic media, and the fluid motion are reported in this article. It has been found that the effect of nonlocal parameter on the vibration behavior and instability of the embedded microtubule conveying fluid are significant. In this regard, we need to point out that the critical flow velocity for a range of nonlocality parameter from 0 to 2 nm varies between 41 and 47 m/s, which should be avoided due to instability of the microtubule system. Therefore, they should be taken into account in the design of nano/micro-devices for measuring density of a fluid, such as drugs flowing through such microtubules, with great applications in biomechanics.

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