The Analysis of Natural Characteristics of Pipeline Structure Systems Based on Frequency-Domain Transfer Matrix Method

2011 ◽  
Vol 383-390 ◽  
pp. 4541-4545
Author(s):  
Xiao Di Wu ◽  
Gong Min Liu ◽  
Hao Chen
Keyword(s):  
Frequency Domain ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Pipeline System ◽  
Computational Results ◽  
Concentrated Mass ◽  
Bent Pipe ◽  
Natural Characteristic ◽  
Domain Transfer

A pipe structure model composed of straight pipe, bent pipe, concentrated mass and flexible support was established. The axial, lateral and circumferential vibration of this model were taken into account in the paper. Then it was realized to calculate the natural characteristic of this pipeline in computer by using MATLAB language to program a series of procedures based on frequency-domain transfer matrix method. The calculation results were compared with the ANSYS simulation results, which illustrated the upper accuracy of frequency-domain transfer matrix method in calculating natural characteristic problems of pipeline structure system. At last, The pipeline system was analyzed with experimental modal method．By comparing the experimental results and computational results, relatively lesser error showed that computational results were reliable and frequency-domain TMM was verified to be valuable for practical application.

The Transfer Matrix Method for Seismic Analysis of Curved Box Bridges under Multi-Support Excitation in Frequency Domain

2011 ◽  
Vol 243-249 ◽  
pp. 2010-2013 ◽  
Author(s):  
Jian Peng Sun ◽  
Qing Ning Li
Keyword(s):  
Frequency Domain ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Vibration Analysis ◽  
Seismic Analysis ◽  
Inertial Force ◽  
Curved Bridge ◽  
Support Excitation ◽  
Domain Transfer ◽  
The Relationship

In this paper the transfer matrixes out plane of curved bridge are derivated.based on the FFT transform and the relationship between the quality and inertial force the point transfer matrix for vibration analysis is biult, and then establish the vibration transfer matrix and the total transfer matrix. Derivates the frequency domain transfer matrixes of single-span curved box bridges under uni-support or multi-support excitation, and offers a new method for seismic analysis of curved box bridges under multi-support excitation in frequency domain.

Application of Transfer Matrix Method to Analysis of Transient Response of Beam

1987 ◽  
Vol 109 (3) ◽  
pp. 248-254 ◽  
Author(s):  
Moriaki Goya ◽  
Takuo Hayashi ◽  
Koichi Ito ◽  
Hiroshi Ohki
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Nonlinear Differential Equations ◽  
Effective Means ◽  
Linear Equations ◽  
Elastic Beam ◽  
Transient Responses ◽  
Concentrated Mass ◽  
Finite Difference Equations

The transient responses of an elastic beam to large dynamic deformations were analyzed numerically, using the transfer matrix method. Geometrically nonlinear differential equations were linearized by introducing increments of unknown functions, and the resulting linear equations were approximated by finite difference equations. A field transfer matrix was introduced for the analyses of large deformations; this determined the relationship between the incremental state vectors at both ends of the elastic segments. The Newmark β formulation was chosen to approximate the equation of motion for concentrated masses. A concentrated mass point transfer matrix and an inhomogeneous vector were introduced for analyses of the transient responses of the beams. A superposition scheme for the transfer matrix method was proposed as an effective means of obtaining a solution satisfying the boundary conditions at both ends of the beam.

Vibration study of a composite pipeline supported on elastic foundation using a transfer matrix method

2021 ◽  
pp. 107754632098537
Author(s):  
Dongyang Chen ◽  
Junwei Yang ◽  
Weican Guo ◽  
Yanjia Liu ◽  
Chaojie Gu
Keyword(s):  
Elastic Foundation ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
High Efficiency ◽  
Fluid Velocity ◽  
Simulation Method ◽  
Pipeline System ◽  
Simulation Results ◽  
The Stability

Efficient and accurate simulation of the vibration characteristics of a composite pipeline system is the key to the study of the stability and vibration control of the pipeline system. A simulation method called transfer matrix method for multibody systems is used to predict the vibration of a composite pipeline resting on an elastic soil. The transfer matrix of the Euler–Bernoulli beams considering the internal fluid velocity and high-efficiency dynamics model of the pipeline system under the action of the elastic foundation are derived. The simulation results have good agreement with that of the literature and commercial software ANSYS Workbench which verified the accuracy of the numerical model. The simulation results show that with the increase of the velocity, the natural frequencies of each mode of the pipeline decrease continuously. When the first frequency is zero, the pipeline buckling occurs and the velocity reaches the critical velocity; the elastic coefficient and shear coefficient in the foundation coefficient are positively related to the stability of the pipeline system. The damping coefficient is negatively related to pipeline stability.

scholarly journals Modelling of Critical Velocities of the Cardan Mechanism using Transfer Matrix Method

2021 ◽  
Vol 23 (1) ◽  
pp. B33-B38
Author(s):  
Petr Hrubý ◽  
Tomáš Náhlík
Keyword(s):  
Mechanical Properties ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Physical And Mechanical Properties ◽  
Transfer Matrices ◽  
Concentrated Mass ◽  
Method Transfer ◽  
Eigen Frequencies ◽  
Critical Velocities

The presented paper focuses to rotating components of mechanical constructions. The problem of the spatial combined bending-gyratory vibration and calculation of the Eigen frequencies is studied. The model of Cardan Mechanism is solved by the transfer matrix method. Transfer matrices were derived for shaft, concentrated mass and elastic bearing. The physical and mechanical properties of each part of the mechanism are hidden in these matrices. A procedure for calculating Eigen frequencies was proposed.

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