Wave based active vibration control of a membrane antenna structure

Liu, Xiang; Zhang, Hua; Lv, Liangliang; Peng, Fujun; Cai, Guo‐Ping

doi:10.1007/s11012-018-0872-9

Cited by 11 publications

(8 citation statements)

References 23 publications

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“…According to the material parameters in the experiment, the thickness of SHELL41 is 1.0 mm, density is 950 kg/m 3 , Young’s modulus E x is 1720 MPa, Young’s modulus E y is 1490 MPa, the diameter of LINK10 is 12 mm, density is 7850 kg/m 3 , and Young’s Modulus is 1.5 × 10 5 MPa. Poisson’s ratio of SHELL41 is 0.34, and Poisson’s ratio of LINK10 is 0.3, which are quoted from Liu et al (2018b).…”

Section: Numerical Simulation and Dynamic Analysismentioning

confidence: 96%

“…The viscously damped natural frequency equation and the critical viscous damping equation of circular and annular membranes are exactly derived by Kang (2017). Zheng et al (2009Zheng et al ( , 2011 and Liu et al (2018aLiu et al ( , 2018bLiu et al ( , 2019a studied nonlinear damped vibration of a pretensioned rectangular orthotropic membrane structure under impact loading.…”

Section: Introductionmentioning

confidence: 99%

“…Membrane structures are very sensitive to external loads because of their light weight, small stiffness, and low natural frequency (Liu et al, 2018a(Liu et al, , 2018bZheng et al, 2013). Thus, the membrane structure is prone to large vibrations under dynamic load of wind or rainfall, which goes against the structural stability and even leads to structural failures (Liu et al, 2019a).…”

Section: Introductionmentioning

confidence: 99%

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Experimental and numerical investigation on dynamic responses of the umbrella membrane structure excited by heavy rainfall

Liu

Wang

et al. 2020

Journal of Vibration and Control

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In this study, dynamic response of a typical umbrella membrane structure under heavy rainfall load is studied by experimental and numerical methods. In the experiment, heavy rainfalls of three rainfall intensities are applied to a typical umbrella membrane structure under five different tensile force levels. The dynamic responses of feature points and tensile force of cables are monitored by laser displacement sensors and digital tensimeters, respectively, during the experiment. In the numerical simulation, the membrane structural model is established in ANSYS by form-finding analysis, and the rainfall load that is calculated by the analytical formula is applied to dynamic analysis. The results of the numerical simulation and the experiment are in good agreement. According to the research results, the dynamic response laws of the umbrella membrane structure under rainstorm were obtained, and the influence of rainstorm load on the umbrella membrane structure was analyzed. Suggestions for safety and structural stability of the membrane structure are proposed.

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Section: Numerical Simulation and Dynamic Analysismentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Experimental and numerical investigation on dynamic responses of the umbrella membrane structure excited by heavy rainfall

Liu

Wang

et al. 2020

Journal of Vibration and Control

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“…In the explicit analysis, the element SHELL163 is applied to simulate membrane, the element LINK167 is applied to simulate cables, the element SOLID164 is applied to simulate hailstone (Gil and Bonet, 2006). Except Poisson's ratios, which are quoted from Liu et al (2018b) and Liu et al (2020), the material parameters adopted in numerical simulation are according to the experiment. The element and material parameters are shown in Table 5.…”

Section: Element and Materials Parametermentioning

confidence: 99%

Hailstone-induced dynamic responses of pretensioned umbrella membrane structure

Liu

Wang

Deng

et al. 2020

Advances in Structural Engineering

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The membrane structure is a flexible structure, which is easy to vibrate or even relax under dynamic load. Engineering accident analysis shows that the relaxation of membrane structure is more likely to lead to structural failure. In this article, the impact load problem is combined with the flexible structure to analyze the impact of hailstone impact load on the dynamic response of membrane structure. First, the umbrella membrane stretching device was designed and manufactured, and the hailstone impact test was carried out on the umbrella membrane structure with polyvinyl chloride membrane material. Dynamic response data, tension relaxation of side cables and vibration deformation of umbrella membrane structures impacted by hailstones with different sizes and different characteristic points were obtained. In the numerical analysis, the form-finding analysis of umbrella membrane structure is carried out by finite element method, and the transient impact analysis is conducted in LS-DYNA. Finally, the reliability of the research results is verified by comparing the numerical and experimental results. The general laws and conclusions are drawn and the disaster-causing mechanism of membrane structure impacted by hailstone is revealed. On the whole, although the probability of hailstone destroying the membrane material directly is very small, it will relax the membrane structure and affect the safety of membrane structure. The conclusions of this article provide a theoretical basis for the design and maintenance of membrane structures.

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“…Based on the thin plate theory, Li et al [ 20 ] derived the free vibration equation of the membrane and studied the dynamic response of the rectangular tensioned membrane. Liu et al [ 21 , 22 ] studied a wave-based active vibration control method for membrane structures and used cable actuators for vibration control. Fang et al [ 23 , 24 , 25 ] of NASA measured the vibration characteristics of a 1.5 m × 1.5 m liquid crystal polymer copper-coated thin membrane, which was preloaded by a constant-force spring, excited by a speaker, and measured using a laser non-contact vibration measuring instrument.…”

Section: Introductionmentioning

confidence: 99%

Configuration Design and Dynamic Characteristics Analysis of Spacecraft Membrane Sunshield

Tao

Lin

et al. 2022

Polymers

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To meet the needs of large space telescopes, such as light weight, high folding ratio, and low manufacturing cost, a flexible deployable regular hexagonal membrane sunshield is proposed in this paper. Firstly, the dynamic equation of the membrane plane is established by the micro-element method. Then, the response surface method is used to obtain the mathematical model of the fundamental frequency of the membrane sunshield. The factors influencing this model, such as the corner pulling force, the effective circle radius, and the edge arch height, are analyzed. By combining the formula of the fundamental frequency of the membrane sunshield and the effective area ratio of the sunshield, the multi-objective optimization function of the fundamental frequency of the membrane sunshield is obtained. A scaled-down experimental prototype of the membrane sunshield is built, and the modal test is performed on the thin membrane plane with a circular fixed boundary in the middle. Comparing the experimental results with the finite element simulation results, the mode shape and the fundamental frequency are highly consistent. This proves that the model can be used to solve the fundamental frequency of the membrane sunshield under the same boundary.

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Wave based active vibration control of a membrane antenna structure

Cited by 11 publications

References 23 publications

Experimental and numerical investigation on dynamic responses of the umbrella membrane structure excited by heavy rainfall

Experimental and numerical investigation on dynamic responses of the umbrella membrane structure excited by heavy rainfall

Hailstone-induced dynamic responses of pretensioned umbrella membrane structure

Configuration Design and Dynamic Characteristics Analysis of Spacecraft Membrane Sunshield

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