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

1993 ◽  
Vol 115 (2) ◽  
pp. 209-217 ◽  
Author(s):  
T. N. Shiau ◽  
J. L. 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.

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.

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.

Rotordynamics analysis of a quill-shaft coupling-rotor-bearing system

2014 ◽  
Vol 229 (8) ◽  
pp. 1385-1398 ◽  
Author(s):  
S Feng ◽  
HP Geng ◽  
L Yu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Natural Frequency ◽  
Stiffness Matrix ◽  
Equation Of Motion ◽  
Numerical Results ◽  
The Finite Element Method ◽  
Rotor Bearing ◽  
Bearing System ◽  
Element Method

A quill-shaft coupling-rotor-bearing system is modeled and reported in this paper. The system consists of two rotors connected by a quill-shaft coupling in which each rotor is supported by two bearings. The stiffness matrix of the quill-shaft coupling is deduced and the equation of motion of the system is obtained by using the finite element method. Finally, the rotordynamics analysis of the system is conducted. The numerical results show that more frequency veering points occur for the quill-shaft coupling-rotor-bearing system compared with those of single rotor. In addition, the stiffness of the flexural element has significant effects on the first bending natural frequency of the quill shaft when the length of the quill shaft becomes shorter.

Finite Element and Transfer Matrix Methods for Rotordynamics: A Comparison

2001 ◽  
Author(s):  
Jorgen L. Nikolajsen
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Free Vibration Analysis ◽  
Accurate Method ◽  
The Finite Element Method ◽  
Rotor Systems ◽  
Element Method

A quantitative comparison is made between the Finite Element Method and four variants of the Transfer Matrix Method, as applied to free vibration analysis of rotor systems. The results are as follows: The Finite Element Method is the most robust method and can identify the largest number of natural frequencies. The finite-element-based Transfer Matrix Method is the most accurate method and uses the least amount of memory. The Polynomial Transfer Matrix Method is the fastest. The Riccati Transfer Matrix Method performed well but did not live up to its superior reputation. The Lund Transfer Matrix Method also performed well except on processing speed where it fell far short of the other methods.

scholarly journals A Study on the Dynamic Characteristics of Geared Rotor-Bearing System With Hybrid Method

1994 ◽  
Author(s):  
T. N. Shiau ◽  
Y. W. Chou ◽  
J. R. Chang ◽  
H. D. Nelson
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Steady State ◽  
Hybrid Method ◽  
Transmission Error ◽  
The Finite Element Method ◽  
Gear Mesh ◽  
Rotor Bearing ◽  
Bearing System ◽  
Element Method

The dynamic behavior of a geared rotor bearing systems with coupled torsional-lateral motion is investigated using a Hybrid Method which combines the merits of the Finite Element Method and the Generalized Polynomial Expansion Method. The effects of the stiffness and damping of the bearings and the gear mesh, the mesh angle and the location of the gear mesh are also studied. Natural whirl speed analyses and steady state responses due to mass unbalance and transmission error excitation are presented. The accuracy and the efficiency of the method are demonstrated. The results show that the torsional-lateral coupled modes of the system are strongly affected by the stiffness, damping, and mesh angle of the gear mesh. The steady state response amplitudes due to transmission error at tooth passing frequency are high. The application of hybrid method to the geared rotor-bearing system leads to improved computational efficiency compared to the finite element method without lose of accuracy.

An Application of the Generalized Polynomial Expansion Method to Nonlinear Rotor Bearing Systems

1991 ◽  
Vol 113 (3) ◽  
pp. 299-308 ◽  
Author(s):  
Jon Li Hwang ◽  
Ting Nung Shiau
Keyword(s):  
Hybrid Method ◽  
Harmonic Balance Method ◽  
Expansion Method ◽  
Polynomial Expansion ◽  
Rotor Systems ◽  
Reduction Techniques ◽  
Large Order ◽  
Trigonometric Collocation ◽  
Generalized Polynomial ◽  
Polynomial Expansion Method

The Generalized Polynomial Expansion Method (GPEM) is utilized to model a large-order flexible-rotor system with nonlinear supports. With the application of GPEM, a set of nonlinear ordinary differential equations are obtained. A hybrid method which combines the merits of the Harmonic Balance Method (HBM) and the Trigonometric Collocation Method (TCM) is used to solve for the nonlinear response of the system. This hybrid method together with reduction techniques can efficiently solve for the motion of the system. The overall algorithm presented provides a very efficient technique for investigating the periodic response of large-order nonlinear rotor systems. Two examples are used to illustrate the merits of the method.

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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