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.

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.

Buckling of Piles in Layered Soils by Transfer Matrix Method

2021 ◽  
pp. 2150109
Author(s):  
Lu Zheng ◽  
Tao Deng ◽  
Qijian Liu
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Present Method ◽  
Soil Layer ◽  
Layered Soils ◽  
Subgrade Reaction ◽  
Soil Stiffness ◽  
Governing Differential Equation ◽  
The Stability

The transfer matrix method is applied to the buckling of end-bearing piles partially or fully embedded in a layered elastic medium with a constant coefficient of subgrade reaction for each layer. The solution of the governing differential equation for each pile segment can be expressed as the product of a fourth-order matrix and a coefficient determinant. Using the transfer matrix method and combining the boundary conditions at both ends of the pile, the buckling load is obtained by solving the eigenvalue equation. A parametric study is performed to investigate the effects of the properties of the soil–pile system on the stability capacity of the pile. It is shown that the effects of the embedment ratio, soil layer thickness, and soil stiffness on the buckling of piles are quite significant. Several calculation examples are presented to verify the present method.

The Application of Transfer Matrix Method for Multibody Systems in the Dynamics of Sail Mounted Hydroplanes System

2018 ◽  
Author(s):  
Dongyang Chen ◽  
Laith K. Abbas ◽  
Guoping Wang ◽  
Xiaoting Rui
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Multibody Systems ◽  
Flow Model ◽  
Main Idea ◽  
Vibration Characteristic ◽  
Software Simulation ◽  
Structure Interaction ◽  
Simulation Results

Transfer Matrix Method for Multibody Systems (MSTMM) is easy to formulate, systematic to apply, simple to code and the matrices are low order which contributes to higher computational efficiency than ordinary dynamics methods. The main idea about how to simulate the vibration characteristic and hydroelastic behavior of a submarine sail mounted hydroplanes system based on MSTMM and coupled with Theodorsen flow model is presented in this paper. The simulation results are compared with those theoretical and experimental reported in the existing literature and commercial software simulation, and good results are obtained. The main idea of this paper provides a reference for dynamics of system with fluid-structure interaction (FSI) simulation and analysis of similar problems in the field of engineering.

Dynamic Modelling of a Planar Parallel Robot Manipulator Using the Discrete Time Transfer Matrix Method

2019 ◽  
Author(s):  
Mengqiu Chu ◽  
Guoning Si ◽  
Xuping Zhang ◽  
Haijie Li
Keyword(s):  
Transfer Matrix ◽  
Discrete Time ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Parallel Manipulator ◽  
Virtual Work ◽  
Research Effort ◽  
Dynamic Modelling ◽  
Time Transfer ◽  
Simulation Results

Abstract This paper aims to develop a new computationally efficient method for the dynamic modelling of a Planar Parallel Manipulator (PPM) based on the Discrete Time Transfer Matrix Method (DT-TMM). In this preliminary work, we use a 3-PRR PPM as a study case to demonstrate the major procedures and principles of employing the DT-TMM for the dynamic modelling of a PPM. The major focus of this work is to present the basic principles of the DT-TMM for the dynamic modelling of a PPM: decomposing the whole parallel manipulator to the individual components, establishing the dynamics of each component/link, linearizing the component/element dynamics to obtain the transfer matrix of each component/link, and assembling the component dynamics into the system dynamics of the PPM using the transfer matrices of all components/elements. To make the work more readable, the brief introduction of the inverse kinematics and the inverse dynamics is also included. The numerical simulations are conducted based on the 3-PRR PPM with rigid links in this preliminary research effort. The simulation results are compared with those from the model using the principle virtual work method and ADAMS software. The numerical simulation results and comparison demonstrate the effectiveness of the dynamic modelling method using DT-TMM for the PPM.

Stability Analysis of Dual Rotor System by Extended Transfer Matrix Method

1989 ◽  
Author(s):  
K. D. Gupta ◽  
K. Gupta ◽  
K. Athre
Keyword(s):  
Transfer Matrix ◽  
Stability Criterion ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Potential Method ◽  
Rotor System ◽  
Junction Conditions ◽  
Rotor Systems ◽  
Margin Of Stability ◽  
The Stability

This paper presents a general formulation for the stability problem of a linear model of dual rotor system with intershaft bearing(s) employing an ‘extended’ transfer matrix method [9] using complex variables. The stability criterion employed is essentially an extension of leonhard’s stability criterion. An alternative concept of ‘margin of stability’ has been suggested. In contrast to other methods, the present formulation maintains the integrity of dual rotor system in totality, by considering exact junction conditions at intershaft bearing. And it is felt that it would prove to be an potential method for analyzing the stability of complex rotor systems.

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