Wave-based transfer matrix method for dynamic response of large net structures

Xu, Xiaoni; Zuo, Shilei; Zhang, Kai; Hu, Gengkai

doi:10.1016/j.jsv.2018.06.068

Cited by 8 publications

(2 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In addition, this approach has been used to investigate wave propagation in 1D and two-dimensional (2D) periodic structures to find natural frequencies and mode shapes [32,33]. The wave-based transfer matrix method has also shown wide applicability in other studies to analyze the dynamic response of large mesh structures [34] to solve the nonlinear vibration problem [35] and to provide necessary vibration controls in the design and analysis of light beams [36][37][38].…”

Section: Introductionmentioning

confidence: 99%

Wave Propagation in Shear Beams Comprising Finite Periodic Lumped Masses and Resting on Elastic Foundation

Özmutlu

2022

Symmetry

View full text Add to dashboard Cite

In this study, the dispersion of an infinite shear beam with a lumped mass connected at periodic distances and resting on an elastic foundation was examined. The effect of periodicity in the finite region of the lumped masses on wave propagation was investigated through a one-dimensional model. The dispersion relationship for Bragg scattering, which consists of one-dimensional periodic lumped masses, was derived using the transfer matrix method. Subsequently, to evaluate the effect of parameters such as the magnitude of the lumped mass and foundation stiffness on the dynamic response of the shear beam, several simulations were performed. The band frequency characteristics of the shear beam are demonstrated with respect to the variations in stiffness and mass. Using the wave-based approach, the effect of periodic masses on wave propagation in a finite region of an infinite beam was revealed. Periodic masses have been shown to have a positive effect on the displacement amplitude; in other words, a lumped mass barrier is effective in providing wave attenuation.

show abstract

Section: Introductionmentioning

confidence: 99%

Wave Propagation in Shear Beams Comprising Finite Periodic Lumped Masses and Resting on Elastic Foundation

Özmutlu

2022

Symmetry

View full text Add to dashboard Cite

show abstract

“…It has been argued that high levels of cable pretension can mitigate large initial deflections, rendering the system sufficiently stiff with the cable net structure for outer space applications being considered a weakly nonlinear system. Xu et al (2018) studied a wave-based method for the dynamic response of large net structures in the full frequency range based on a transfer matrix method. In this method, the structure is divided into several periodic elements to save computational cost.…”

Section: Introductionmentioning

confidence: 99%

A simple wave/power flow analysis method for vibration control of large cable-frame structures

Tang

Wang²,

Zhou³

et al. 2021

Journal of Vibration and Control

View full text Add to dashboard Cite

A cable-frame structure typically has low damping and a low fundamental frequency and is modally rich. It is likely to generate sustained vibration when disturbed. Unwanted vibration of such a structure must be caught and controlled to ensure its structural safety and design performance. To overcome the disadvantages of high frequency distortion and modal truncation arising from modal control methods, wave control methods have been suggested. However, they generally involve establishing and solving numerous wave equations, an expensive procedure that may make the vibration control for large and/or complex structures inefficient or even impractical. This study presents a simple analytical approach for the vibration control of large cable-frame structures. The approach is divided into two stages. First, the exact frequency-domain solution is obtained by a dynamic stiffness method in which the infinite degrees of freedom of each flexible component are reduced into only several degrees of freedom at its two endpoints. Second, formulas for calculating the local wave and power flow are deduced based on the global exact solution so that the local wave control information can be extracted from the global response solution. Using this approach, the dynamic response and wave and power flow analysis are carried out for two typical cable-frame structures, leading us to suggest several control measures for suppressing vibration. The approach, if proven to be effective, can be readily applied to vibration control of large cable-frame structures.

show abstract