Designing LPG-OADM Based on a Finite Element Method and an Eigenmode Expansion Method

2013 ◽  
Vol 12 (3) ◽  
pp. 460-471 ◽  
Author(s):  
Yue Jing He ◽  
Xuan Yang Chen
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Expansion Method ◽  
Eigenmode Expansion ◽  
Element Method

Finite Element Method for Analysis of Flexural Vibration Propagating in Ternary Phononic Crystal Thin Plates

2012 ◽  
Vol 256-259 ◽  
pp. 596-599
Author(s):  
Zong Jian Yao ◽  
Gui Lan Yu ◽  
Yue Sheng Wang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Point Defect ◽  
Phononic Crystal ◽  
Flexural Vibration ◽  
Expansion Method ◽  
Square Lattice ◽  
Thin Plates ◽  
Response Curves ◽  
Element Method

Propagation of flexural vibration in a ternary phononic crystal thin plate with a point defect are explored using finite element method. The thin concrete plate is composed of steel cylinders hemmed around by rubber with a square lattice. Absolute band gaps, point defect bands and transmission response curves with low frequency are investigated. Comparing the results of finite element method with that of improved plane wave expansion method, precise identifications are obtained to identify the point defect states. The results show that the finite element method is suitable for the exploring of flexural vibration propagating in ternary phononic crystal thin plates.

scholarly journals A substructure-based interval finite element method for problems with uncertain but bounded parameters

2017 ◽  
Vol 9 (1) ◽  
pp. 168781401668407
Author(s):  
Yihuan Zhu ◽  
Guojian Shao ◽  
Jingbo Su ◽  
Ang Li
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Evaluation System ◽  
Nonlinear Problems ◽  
Expansion Method ◽  
Constant Matrix ◽  
Approximation Solution ◽  
Interval Finite Element Method ◽  
Necessary Constraints ◽  
Element Method

In this article, the dependency between different elements in solid structures is considered and a substructure-based interval finite element method is used to model the interval properties. The penalty method is applied to impose the necessary constraints for compatibility. In order to obtain the interval stresses, an approximation solution based on the Taylor expansion method is presented. Then, the proposed interval substructure model is expanded to nonlinear problems. In consideration of the nonlinear property of the elasticity modulus, an interval elastoplastic substructure analysis method using constant matrix based on the incremental theory is proposed and the interval expression of the interval stress updated formation is derived. Finally, numerical examples are carried out to demonstrate the reasonability and feasibility of the proposed method and evaluation system.

scholarly journals Solving a coupled field problem by eigenmode expansion and finite element method

2007 ◽  
Vol 1 (3) ◽  
pp. 303-316 ◽  
Author(s):  
Bernd Baumann ◽  
Marcus Wolff ◽  
Bernd Kost ◽  
Hinrich Groninga
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Field Problem ◽  
Coupled Field ◽  
Eigenmode Expansion ◽  
Element Method

Stochastic Finite Element Method Using Polynomial Chaos Expansion

2011 ◽  
Vol 199-200 ◽  
pp. 500-504 ◽  
Author(s):  
Wei Zhao ◽  
Ji Ke Liu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Polynomial Chaos ◽  
Expansion Method ◽  
Polynomial Chaos Expansion ◽  
Polynomial Expansion ◽  
Stochastic Finite Element Method ◽  
Chaos Expansion ◽  
Stochastic Finite Element ◽  
Element Method

We present a new response surface based stochastic finite element method to obtain solutions for general random uncertainty problems using the polynomial chaos expansion. The approach is general but here a typical elastostatics example only with the random field of Young's modulus is presented to illustrate the stress analysis, and computational comparison with the traditional polynomial expansion approach is also performed. It shows that the results of the polynomial chaos expansion are improved compared with that of the second polynomial expansion method.

Generalized Polynomial Expansion Method for the Dynamic Analysis of Rotor-Bearing Systems

1991 ◽  
Author(s):  
Ting Nung Shiau ◽  
Jon Li Hwang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Expansion Method ◽  
Polynomial Expansion ◽  
The Finite Element Method ◽  
Rotor Systems ◽  
Generalized Polynomial ◽  
Rotor Bearing ◽  
Polynomial Expansion Method ◽  
Element Method

The determination of critical speeds and modes and the unbalance response of rotor-bearing systems is investigated with the application of a technique called the generalized polynomial expansion method (GPEM). This method can be applied to both linear and nonlinear rotor systems, however, only linear systems are addressed in this paper. Three examples including single spool and dual rotor systems are used to demonstrate the efficiency and the accuracy of this method. The results indicate a very good agreement between the present method and the finite element method (FEM). In addition, computing time will be saved using this method in comparison with the finite element method.

Vibration Analysis of Composite Beams With End Effects via the Formal Asymptotic Method

2010 ◽  
Vol 132 (4) ◽  
Author(s):  
Jun-Sik Kim ◽  
K. W. Wang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Asymptotic Expansion ◽  
Cross Section ◽  
Asymptotic Method ◽  
Vibration Analysis ◽  
Expansion Method ◽  
Composite Beams ◽  
Asymptotic Expansion Method ◽  
Element Method

Vibration analysis of composite beams is carried out by using a finite element-based formal asymptotic expansion method. The formulation begins with three-dimensional (3D) equilibrium equations in which cross-sectional coordinates are scaled by the characteristic length of the beam. Microscopic two-dimensional and macroscopic one-dimensional (1D) equations obtained via the asymptotic expansion method are discretized by applying a conventional finite element method. Boundary conditions associated with macroscopic 1D equations are considered to investigate the end effect. It is then described how one could form and solve the eigenvalue problems derived from the asymptotic method beyond the classical approximation. The results obtained are compared with those of 3D finite element method and those available in the literature for composite beams with solid cross section and thin-walled cross section.

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