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

Chen, Dongyang; Yang, Junwei; Guo, Weican; Liu, Yanjia; Gu, Chaojie

doi:10.1177/1077546320985370

Cited by 6 publications

(3 citation statements)

References 28 publications

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“…At this juncture, the transfer matrix method (TMM) shows advantages in computer implementation with freezing the matrix size in computation. Valuable points are accessible in ease of software design, small memory supplies, and obtainability of ready-made transfer matrix catalogs for different elements (Chen et al, 2021; Feyzollahzadeh and Bamdad, 2021). On the other hand, in the TMM, the accuracy of results would be raised by increasing the number of elements.…”

Section: Introductionmentioning

confidence: 99%

Efficient technique in computational dynamic modeling of a flexible manipulator with large deformation

Feyzollahzadeh

Bamdad

2022

Journal of Vibration and Control

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In the flexible manipulators, the links could be modeled using rigid elements and torsional springs, and similarly, the flexibility in actuators could be represented with the equivalent springs. This study applies the discrete time transfer matrix method for the dynamic analysis of flexible manipulators with large deformations. On a first-priority basis, transfer matrices are determined, including all the flexible link/joint mechanism components. A single transfer matrix is established for prismatic and rotational actuators with equivalent springs to build the robotic transfer matrix library. On the second priority, to reduce the computation time, a novel algorithm is developed. In the proposed flexible link discretization, the first element of the flexible link is considered as a function of other elements. It is designed to build a mathematical model as closely as possible to the realistic model with fewer elements. It is presented that this modeling technique can employ discrete data extracted by the sensors. The simulation primarily focuses on developing flexible beam/joint models validated in ADAMS. Besides, the dynamic behavior of a flexible PR robot with external forces acting on the linkage system is analyzed and examined. The result shows that the proposed modeling method affords a low computational time while the manipulator control needs to manage fast responses.

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Section: Introductionmentioning

confidence: 99%

Efficient technique in computational dynamic modeling of a flexible manipulator with large deformation

Feyzollahzadeh

Bamdad

2022

Journal of Vibration and Control

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“…Hydraulic composite pipes are an important part of the hydraulic system. Their high strength, light weight, corrosion resistance, impact resistance, and superior performance make them widely utilized in the engineering of machinery, aircraft, ships, hydraulic structures, and other equipment (Chen et al, 2022; Shi et al, 2014; Uyaner et al, 2014; Williams et al, 2003). Under working conditions, the dynamic characteristics of the pipes will change when subjected to an axial random vibration, which will affect the pipe’s reliability, possibly leading to safety accidents.…”

Section: Introductionmentioning

confidence: 99%

Analysis fluid pressure response of hydraulic composite pipe subjected to an axial random vibration

Huang

Zhang

et al. 2022

Journal of Vibration and Control

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In this paper, the fluid pressure responses of the hydraulic composite pipe subjected to an axial random vibration are investigated. First, the motion equations under an axial random vibration are established, considering the fluid–structure interaction. Second, the characteristic line and the pseudo-excitation methods for random vibration are employed to solve the hydraulic composite pipe dynamic characteristics. Finally, the influence laws of the fluid velocity and pressure, the external excitation, and the structure parameters are analyzed. The results demonstrate that the analytical method is beneficial to analyze the hydraulic composite pipe subjected to an axial random vibration, which can reduce vibration and improve efficiency.

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“…It is important to choose the appropriate technique for analytical solution of the governing equations of motions of complicated systems. The transfer matrix formulation which is based on the relation between state vectors of structural members has been effectively used for free vibrations of beams on elastic foundation models [15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Transfer matrix formulation for dynamic response of Timoshenko beams resting on two-parameter elastic foundation subjected to moving load

Bozyiğit¹

2021

JSEAM

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In this study, the dynamic response of beams resting on two-parameter elastic foundation subjected to moving load is investigated by using the transfer matrix method (TMM). The Timoshenko beam theory (TBT) which considers shear deformation and rotational inertia is used to model the beam. The two-parameter elastic foundation model is selected as Pasternak foundation that takes into account a shear layer at the end of linear springs of Winkler foundation. The TMM which uses the relation between analytically obtained state vectors of each end of the beam is applied to solve the free vibration problem. After performing the free vibration analysis, the mathematical model is simplified into an equivalent single degree of freedom (SDOF) system by using the exact mode shapes to obtain dynamic responses. The generalized displacement is calculated for each mode by using the Runge-Kutta algorithm. A numerical case study is presented for a simply-supported Timoshenko beam on the Pasternak foundation subjected to a concentrated load. The natural frequencies obtained from finite element method (FEM) results of SAP2000 are presented with the results of TMM for comparison purposes using the Winkler foundation. The effects of shear layer on the natural frequencies of the model are revealed. The mode shapes are plotted. The proposed approach for calculating dynamic responses is validated by using the results of FEM for Winkler foundation model. Then, the effects of Winkler springs and shear layer of the foundation model on the dynamic responses are presented in figures. The effects of modal damping are discussed. Finally, the critical velocities for the model are calculated for various elastic foundation scenarios and the effects of elastic foundation parameters on the dynamic response of beam model subjected to moving load with high velocity are observed.

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

Cited by 6 publications

References 28 publications

Efficient technique in computational dynamic modeling of a flexible manipulator with large deformation

Efficient technique in computational dynamic modeling of a flexible manipulator with large deformation

Analysis fluid pressure response of hydraulic composite pipe subjected to an axial random vibration

Transfer matrix formulation for dynamic response of Timoshenko beams resting on two-parameter elastic foundation subjected to moving load

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