scholarly journals NONLINEAR DYNAMIC ANALYSIS OF ROTATING PIPE CONVEYING FLUID BY THE FINITE ELEMENT METHOD

Transport ◽  
2003 ◽  
Vol 18 (5) ◽  
pp. 224-228 ◽  
Author(s):  
Marijonas Bogdevičius
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Nonlinear Response ◽  
Fluid Velocity ◽  
Nonlinear Dynamic Analysis ◽  
Angular Speed ◽  
Pipe Conveying Fluid ◽  
The Finite Element Method ◽  
Conveying Fluid ◽  
Element Method

The rotating pipe conveying fluid is considered. Non-linear (geometrical non-linearity) equation of the motion of the pipe is derived using the finite element method. The equation of motion is derived based of the following assumptions: fluid is incompressible and inviscid; rotory inertia and shear deformation of the pipe are neglected. The sources of parametric vibration are: fluid velocity and pressure, angular speed of pipe. The possibility to solve a nonlinear response problem including sub-and/or super-harmonic using the finite element method is shown. Numerical results are derived considering the rotating cantilevered pipe conveying fluid. All matrices and vectors of the finite element method are derived by the symbolic computation system Maple.

scholarly journals Nonlinear Dynamic Analysis of Axisymmetric Solids by the Finite Element Method

1974 ◽  
Vol 96 (2) ◽  
pp. 103-112 ◽  
Author(s):  
M. Hartzman
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Technique ◽  
Nonlinear Dynamic Analysis ◽  
Plastic Behavior ◽  
The Finite Element Method ◽  
Lumped Mass ◽  
Mass System ◽  
The Impact ◽  
Element Method

A method for calculating the dynamic response of deformable axisymmetric solids, subjected to time-dependent axisymmetric loads is described. The nonlinearities considered in this analysis include material nonlinearity (elastic-plastic behavior) and geometric nonlinearity, which includes finite deformation. The finite-element method is applied to approximate the continuum by a lumped-mass system connected by axisymmetric elements. The equations of motion are solved by applying a step-by-step numerical technique. The analysis is illustrated by application to the collapse of a built-in spherical dome with varying thickness and to the impact of a cylinder against a rigid wall. Close agreement is obtained between the results from the present technique and results obtained from the literature.

The numerical solution for BVP of the liquid film flow over an unsteady stretching sheet with thermal radiation and magnetic field using the finite element method

2019 ◽  
Vol 30 (11) ◽  
pp. 1950080 ◽  
Author(s):  
M. M. Khader
Keyword(s):  
Magnetic Field ◽  
Finite Element Method ◽  
Finite Element ◽  
Thermal Radiation ◽  
Slip Velocity ◽  
Film Flow ◽  
Numerical Study ◽  
Fluid Velocity ◽  
The Finite Element Method ◽  
Element Method

The method introduced in this paper is based on the finite element method. As an application for this efficient numerical method, we employ it in solving the system of ordinary differential equations which describes the thin-film flow and heat transfer with the effect of thermal radiation, magnetic field and slip velocity. The effect of the parameters which govern the proposed problem is discussed. From this theoretical and numerical study, it is observed that the slip velocity parameter tends to decrease the fluid velocity, whereas both the magnetic parameter and the radiation parameter can enhance the temperature distribution.

The Nonlinear Dynamic Analysis of Shells of Revolution With Asymmetric Properties by the Finite Element Method

1975 ◽  
Vol 97 (3) ◽  
pp. 163-171 ◽  
Author(s):  
S. Klein
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Nonlinear Dynamic ◽  
Large Deflection ◽  
Nonlinear Dynamic Analysis ◽  
Flow Rule ◽  
The Finite Element Method ◽  
Difference Matrix ◽  
Elastic Plastic ◽  
Element Method

A large deflection elastic-plastic analysis for general structures by the finite element method is presented. A Von Mises yield condition, its associated flow rule, and isotropic hardening are assumed. Nonlinear forces, due to nonlinear strain-displacement relations, plastic strains, and thermal gradients are developed for static and dynamic analyses and specialized for shell of revolution finite elements with asymmetric properties. The nonlinear dynamic equations are converted to a linear finite difference matrix equation, based on a nonlinear form of the Newmark Beta time integration method. A computer program, SABOR/DRASTIC 6, is used to demonstrate static, dynamic, and dynamic buckling solutions containing large deflection elastic-plastic response of shells with asymmetric properties and loads.

Simulation of tuning graphene plasmonic behaviors by ferroelectric domains for self-driven infrared photodetector applications

Nanoscale ◽  
2019 ◽  
Vol 11 (43) ◽  
pp. 20868-20875 ◽  
Author(s):  
Junxiong Guo ◽  
Yu Liu ◽  
Yuan Lin ◽  
Yu Tian ◽  
Jinxing Zhang ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Interfacial Effect ◽  
Infrared Photodetector ◽  
The Finite Element Method ◽  
Ferroelectric Domains ◽  
Element Method

We propose a graphene plasmonic infrared photodetector tuned by ferroelectric domains and investigate the interfacial effect using the finite element method.

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