Vibration of the Rotor Shell in a Trochoidal-Type Machine Without Apex Seals

1998 ◽  
Author(s):  
Shuangqing Li ◽  
John B. Shung ◽  
Randall F. Barron
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Cylindrical Shell ◽  
Dynamic Response ◽  
Analytical Method ◽  
Natural Frequencies ◽  
Mode Shapes ◽  
Type Machine ◽  
Element Method

Abstract The natural frequencies and dynamic response of a trochoidal cylindrical shell in a trochoidal-type machine are studied. Both analytical method and finite element method (FEM) solutions are obtained. The mode shapes obtained by the two approaches match quite well. The model established can be applied to control the running clearance between rotor and chamber in this type of machine, which is critical to the performance of the machine.

scholarly journals Dynamics Characteristics of Blast Furnace Shell

2011 ◽  
Vol 2-3 ◽  
pp. 1018-1020
Author(s):  
De Chen Zhang ◽  
Yan Ping Sun
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Blast Furnace ◽  
Modal Analysis ◽  
Natural Frequencies ◽  
Theoretical Foundation ◽  
Structural Mechanics ◽  
Mode Shapes ◽  
The Future ◽  
Element Method

Finite element method and structural mechanics method are used to study the blast furnace shell modal analysis and the natural frequencies and mode shapes have been calculated. The two methods were compared and validated , and the results provide a theoretical foundation for the anti-vibration capabilities design of blast furnace shell in the future .

Dynamic Response Analysis of Motorcycle Fenders

2014 ◽  
Vol 541-542 ◽  
pp. 695-699
Author(s):  
Jun Liu ◽  
Liang Li
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Comparative Analysis ◽  
Dynamic Response ◽  
Key Words ◽  
Natural Frequencies ◽  
Mode Shapes ◽  
Response Analysis ◽  
Structure Modeling ◽  
Main Components

Motorcycle fender is one of the main components of motorcycle,fender structure directly affected it's comfort and security properties.In this paper, the finite element modeling and dynamic response were analyzed using NX 8.0, and found its natural frequencies and mode shapes. On the basis of the fender structure modeling on different road with the same speed, this paper investigated the several factors affect the vibration motorcycle and analyzed true fender of the motorcycle and did comparative analysis with the modal analysis results. It is helpful to the design of the fender structure and the estimation of the fender fracture. Key Words: Fender;finite element method;modal;Dynamic response

scholarly journals Solution of the axisymmetric problem of thermoelasticity of a radially inhomogeneous cylindrical shell by numerical-analytical method and the finite element method

2019 ◽  
Vol 15 (4) ◽  
pp. 323-326
Author(s):  
Lyudmila S. Polyakova ◽  
Vladimir I. Andreev
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Cylindrical Shell ◽  
Analytical Method ◽  
Software Package ◽  
Method Of Successive Approximations ◽  
Infinite Cylinder ◽  
The Finite Element Method ◽  
Numerical Analytical Method ◽  
Element Method

The aim of research is to compare two calculation methods using the example of solving the axisymmetric thermoelasticity problem. Methods. The calculation of a thick-walled cylindrical shell on the temperature effect was carried out by the numerical-analytical method and the finite element method, implemented in the LIRA-CAD software package. The shell consists of three layers: two layers of heat-resistant concrete and an outer steel layer. In the calculation, a piecewise linear inhomogeneity of the shell due to its three-layer structure and continuous inhomogeneity caused by the influence of a stationary temperature field is taken into account. The numerical-analytical method of calculation involves the derivation of a resolving differential equation, which is solved by the sweep method, it is possible to take into account the nonlinear nature of the deformation of the material using the method of successive approximations. To solve this problem by the finite element method, a similar computational model of the shell was constructed in the LIRA-CAD software package. The solution of the problem of thermoelasticity for an infinite cylinder (under conditions of a plane deformed state) and for a cylinder of finite length with free ends is given. Results . Comparison of the calculation results is carried out according to the obtained values of ring stresses σθ.

Extraction of Natural Frequencies and Mode Shapes of Rotating Beams by Variational Iteration Method

2016 ◽  
Vol 16 (03) ◽  
pp. 1450106 ◽  
Author(s):  
Y. Chen ◽  
J. Zhang ◽  
H. Zhang ◽  
X. Li ◽  
J. Zhou
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Natural Frequencies ◽  
Eigenvalue Problems ◽  
Flexural Vibration ◽  
Mode Shapes ◽  
Variable Order ◽  
Rotating Beams ◽  
Variational Iteration ◽  
Element Method

Flapwise flexural vibration of rotating beams has been extensively studied since the 1970s. Existing methods for solving the aforementioned vibration problem range from the conventional finite element method to variable-order finite element method, Frobenius method, differential transformation method and dynamic stiffness method (DSM). Although various approximation methods are available, most of these methods are based on perturbation or discretization of the governing equation, often leading to tedious calculations. This paper re-examines flapwise flexural vibration of rotating beams using the method of variational iteration, which is relatively new and capable of providing accurate solutions for eigenvalue problems. The extracted natural frequencies and mode shapes for sample rotating beams with various rotational speeds and hub radii are compared with existing results that were published in the open literature.

Low Frequency Analysis of the Tracheo-Bronchia

2002 ◽  
Author(s):  
A. M. Al-Jumaily ◽  
N. Mago
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Frequency Analysis ◽  
Respiratory System ◽  
Future Development ◽  
Natural Frequencies ◽  
Low Frequency ◽  
Mode Shapes ◽  
The Finite Element Method ◽  
Element Method

Theoretical natural frequencies and mode shapes for the tracheo-bronchia of the human respiratory system are determined using the finite element method. Radial modes, which are anticipated to be used for contraction relaxation, are identified. It is anticipated that these values will give the initiation for future development of non-traditional techniques of relieving respiratory system constrictions.

Vibration Analysis of a Timoshenko Beam with Transverse Open Crack by Finite Element Method

2014 ◽  
Vol 592-594 ◽  
pp. 2102-2106 ◽  
Author(s):  
Alok Ranjan Biswal ◽  
Rabindra Kumar Behera ◽  
Tarapada Roy
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Timoshenko Beam ◽  
Natural Frequencies ◽  
Minimum Weight ◽  
Structural Defects ◽  
Mode Shapes ◽  
Open Crack ◽  
Engineering Structures ◽  
Element Method

The design of structures and machineries in present days are based on optimizing of multi-objectives such as maximum strength, maximum life, minimum weight and minimum cost. Due to this flexiblity they allow having a very high level of stresses. This leads to development of cracks in their elements. Due to long-term service many engineering structures may have structural defects such as cracks. So it is very much essential to know the property of structures and response of such structures in various cases. In this article the natural frequencies and mode shapes of an uncracked and cracked cantilever Timoshenko beam is studied by using finite element method (FEM) and MATLAB programme. The effect of crack on the natural frequencies of the uncracked and cracked Timoshenko beam is studied.

Finite Element Modality Analysis of Face Gear

2013 ◽  
Vol 278-280 ◽  
pp. 299-302
Author(s):  
Zhi Wang ◽  
Qing Chen ◽  
Jia Chun Lin
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Dynamic Response ◽  
Dynamic Characteristics ◽  
Natural Frequencies ◽  
Face Gear ◽  
Simulation Based ◽  
The Face ◽  
Element Method

For improving the dynamic characteristics and reliability of the face gear, the finite element of the face gear was established with NX Advanced Simulation based on the theory of vibration mechanics and finite element method. the former 12 ranks of natural frequencies and shapes were calculated by using NX. Nastran solver, The results provided a direct theoretic basis for improving the design of the face gear. And it laid a foundation of dynamic response calculation of face gear at the same time.

THE ROLE OF FINITE ELEMENT METHOD IN CIVIL ENGINEERING

2018 ◽  
Vol 5 (02) ◽  
Author(s):  
Er. Hardik Dhull
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Approximate Solution ◽  
Analytical Method ◽  
Civil Engineering ◽  
The Finite Element Method ◽  
Engineering Problems ◽  
Building Components ◽  
Element Method

The finite element method is a numerical method that is used to find solution of mathematical and engineering problems. It basically deals with partial differential equations. It is very complex for civil engineers to study various structures by using analytical method,so they prefer finite element methods over the analytical methods. As it is an approximate solution, therefore several limitationsare associated in the applicationsin civil engineering due to misinterpretationof analyst. Hence, the main aim of the paper is to study the finite element method in details along with the benefits and limitations of using this method in analysis of building components like beams, frames, trusses, slabs etc.

scholarly journals Modeling and Eigenfrequency Analysis of Sound-Structure Interaction in a Rectangular Enclosure with Finite Element Method

2009 ◽  
Vol 2009 ◽  
pp. 1-9 ◽  
Author(s):  
Samira Mohamady ◽  
Raja Kamil Raja Ahmad ◽  
Allahyar Montazeri ◽  
Rizal Zahari ◽  
Nawal Aswan Abdul Jalil
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Natural Frequencies ◽  
Active Noise Control ◽  
Interior Noise ◽  
Rectangular Enclosure ◽  
Sound Structure ◽  
Flexible Panel ◽  
Experimental Works ◽  
Element Method

Vibration of structures due to external sound is one of the main causes of interior noise in cavities like automobile, aircraft, and rotorcraft, which disturb the comfort of passengers. Accurate modelling of such phenomena is required in eigenfrequency analysis and in designing an active noise control system to reduce the interior noise. In this paper, the effect of periodic noise travelling into a rectangular enclosure is investigated with finite element method (FEM) using COMSOL Multiphysics software. The periodic acoustic wave is generated by a point source outside the enclosure and propagated through the enclosure wall and excites an aluminium flexible panel clamped onto the enclosure. The behaviour of the transmission of sound into the cavity is investigated by computing the modal characteristics and the natural frequencies of the cavity. The simulation results are compared with previous analytical and experimental works for validation and an acceptable match between them were obtained.

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